Share £32 in the ratio 1 : 5 : 2.

Answers

Answer 1

Step-by-step explanation:

In order to share the money equally

We take the variables as 'x'

This is because the given values are in the form of a ratio

So to do this we plug these values into a equation which is,

[tex]x + 5x + 2x = 32[/tex]

Adding the values we get,

[tex]8x = 32[/tex]

Dividing both sides by 8 we get,

[tex]\frac{8x}{8}= \frac{32}{8}[/tex]

[tex]x = 4[/tex]

Now we multiply the given values by x which is 4 in order to find how much money each ratio get

[tex]x = 4[/tex]

[tex]5x = 5X4 = 20[/tex]

[tex]2x = 2X4 = 8[/tex]

4 + 20 + 8 = £ 32 (Proving)


Related Questions

Drag each number to a box to complete the table. Each number may be used once or not at all.


8,000533,00021,000

Kilometers Meters

1



2,000





5,000

8

Answers

Each number should be dragged to a box to complete the table as follows;

Kilometers     Meters

1                        1,000

2                       2,000

3                       3,000

5                       5,000

8                       8,000

What is a conversion factor?

In Science and Mathematics, a conversion factor is a number that is used to convert a number in one set of units to another, either by dividing or multiplying.

Generally speaking, there are one (1) kilometer in one thousand (1,000) meters. This ultimately implies that, a proportion or ratio for the conversion of kilometer to meters would be written as follows;

Conversion:

1 kilometer = 1,000 meters

2 kilometer = 2,000 meters

3 kilometer = 3,000 meters

4 kilometer = 4,000 meters

5 kilometer = 5,000 meters

6 kilometer = 6,000 meters

7 kilometer = 7,000 meters

8 kilometer = 8,000 meters

Read more on conversion factor here: brainly.com/question/28308386

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

it is due today, please help me. If you just want points get out of my question page...

Answers

To completely solve the problem, Karim should convert the product back into standard decimal notation.

We cannot directly apply the product of powers property because the binomial is not raised to a power itself.

Miscellaneous problem

(1) To convert a number from scientific notation to standard decimal notation, we multiply the coefficient (0.0258) by 10 raised to the power of the exponent (-8).

0.0258 × [tex]10^{-8[/tex]  = 0.0258 × 0.00000001

                         = 0.000000000000258

(2) The product of powers property states that when you raise a term with an exponent to another exponent, you can simplify it by multiplying the exponents.

In the expression [tex](3z + y)^3[/tex], we have a binomial term (3z + y) raised to the power of 3. This is not a situation where we can directly apply the product of powers property because the binomial is not raised to a power itself.

To simplify the expression, we need to expand it using the binomial theorem or by applying the concept of binomial expansion.

More on powers property can be found here: https://brainly.com/question/2499975

#SPJ1

what gives the response the sequare of the highwr common fact of 30 and 50​

Answers

Answer:

GCF of 30 and 50 is 10 :}

Can someone answer this question

Answers

The equations and their graphs are:

Graph 4: I(x)=P(x)−4

Graph 2: I(x)=P(x+4)

Graph 1: I(x)=P(x)+4

Graph 3: I(x)=P(x−4)

Here we have,

to match the equations and their graphs:

The parent function is given as:

P(x) = x^2

As a general rule of function transformation, we have:

Vertical translation up: I(x) = P(x) + k

Vertical translation down: I(x) = P(x) - k

Horizontal translation left: I(x) = P(x + k)

Horizontal translation right : I(x) = P(x - k)

Using the above rules and the assumption that k is 4;

We have:

Vertical translation up: I(x) = P(x) + 4

Vertical translation down: I(x) = P(x) - 4

Horizontal translation left: I(x) = P(x + 4)

Horizontal translation right : I(x) = P(x - 4)

Hence, the graphs of the equations are:

Graph 4: I(x)=P(x)−4

Graph 2: I(x)=P(x+4)

Graph 1: I(x)=P(x)+4

Graph 3: I(x)=P(x−4)

Read more about function transformation at:

brainly.com/question/4025726

#SPJ1

complete question;

Consider the function P(x)=x2, which is a parabola that opens upward, with a vertex at (0,0).

It undergoes four separate transformations as indicated by the graphs that follow.

P(x) represents the preimage and is placed correctly on all images. I(x) represents the image after the transformation.

Match each transformation indicated by I(x) to the correct graph.

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.

I(x)=P(x)−4

I(x)=P(x+4)

I(x)=P(x)+4

I(x)=P(x−4)

John borrowed $4,300.00 for 8 days at an annual simple interest rate of 13.75%. What is the amount of interest will John have to pay at the end of the loan?

Answers

John will have to pay $12.24 in interest at the end of the loan.

To calculate the amount of interest John will have to pay at the end of the loan, we can use the formula for simple interest:

Interest = Principal * Rate * Time

Given:

Principal (P) = $4,300.00

Rate (R) = 13.75% per annum

Time (T) = 8 days

First, we need to convert the rate from an annual percentage to a daily rate. Since there are 365 days in a year:

Daily Rate = (Rate / 100) / 365 = (13.75 / 100) / 365 = 0.0003767

Now we can calculate the interest:

Interest = Principal * Rate * Time

= $4,300.00 * 0.0003767 * 8

= $12.24

Therefore, John will have to pay $12.24 in interest at the end of the loan.

For more questions on interest

https://brainly.com/question/25720319

#SPJ8

Calculus Integral Questions Unit 2 Lesson 5 Fundamental Theorem of Calculus

Answers

Answer: b and c

Step-by-step explanation:

Answer:

The first question is 3 and the third question is the one with = 20

I have no answer for the second

The other answer left by farrelljacob646 is incorrect

Raina wants to buy a new house but needs money for the down payment. Her parents agree to lend her money at an annual rate of 6%, charged as simple
interest. They lend her $7000 for 5 years. She makes no payments except the one at the end of that time.
Answer the following questions. If necessary, refer to the list of financial formulas.
(a) How much total interest will Raina have to pay?
(b) What will the total repayment amount be (including interest)?
$
X

Answers

a. Raina will have to pay a total of $2100 in interest.

b. The total repayment amount, including interest, will be $9100.

How to Calculate Total Interest?

To calculate the total interest and total repayment amount, we can use the formula for simple interest:

Simple Interest = Principal * Rate * Time

(a) Total interest:

Principal = $7000

Rate = 6% per year

Time = 5 years

Total Interest = Principal * Rate * Time

= $7000 * 0.06 * 5

= $2100

(b) Total Repayment Amount = Principal + Total Interest

= $7000 + $2100

= $9100

Learn more about Total Interest on:

https://brainly.com/question/31608291

#SPJ1

find the area of each figure pls ​

Answers

Answer:

Step-by-step explanation:

1 = 20cm

2 = 0.56cm^2

3 = 77.5m2

What is the period of this function?

Answers

The period is 5
Let me know if you want me to show my work or explain how I got the answer! Have a great day!! :))

The graph shows an exponential function relating the balance in
an investment account to the time in years.
What does the y-intercept represent?
O
the time it takes the account to reach its maximum
value
O the maximum value of the account
O the initial balance of the account
O the amount the account increases by each year
Account balance (5)
1600
1400
1200
1000
800
600

Answers

The value of the y-intercept represent,

⇒  the amount of the account increases by each year.

We have to given that;

The graph shows an exponential function relating the balance in an investment account to the time in years.

Now, From graph we have;

The value of the y-intercept represent,

⇒  the amount of the account increases by each year.

Thus, value of the y-intercept represent,

⇒  the amount of the account increases by each year.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

If someone can explain this to me that would be amazing, I have a college algebra final tomorrow and I am rly confused. I don’t know how wide to make it, if someone can explain this I will give 100 points and brainliest

Answers

Start with the graph of the function f(x) = x^2, which is a U-shaped curve opening upward.

Move the entire graph 3 units to the right. This means you shift the curve horizontally to the right by 3 units.

Flip the graph upside down by reflecting it in the x-axis. This means the U-shaped curve will now open downward.

Squish or compress the graph vertically by a factor of 3. This means the curve will become narrower and steeper.

Move the graph 3 units up. This means you shift the curve vertically upward by 3 units.

This results in a graph that is a downward-opening parabola centered at the point (3, 3), with a vertical compression and vertical translation.

The first image is y=x^2 the second is how it should look

2
Select the correct answer from each drop-down menu.
Triangle ABC is shown in the coordinate plane. It is translated 6 units left and 4 units down. Then it is dilated by a scale factor of 3 centered about the
origin. Complete the statements.
-6 -4
v.
6
4-
2-
lo
-2-
-4-
-6-
The translation of triangle ABC
A
2
с
6
B
Reset
The dilation of triangle ABC
Next

Answers

For the transformations of the triangle, we have that:

1. The translation of triangle ABC preserves side lengths and angles.

2. The dilation of triangle ABC preserves angles but not side lengths.

Hence the correct options are, respectively, C and B.

A translation involves shift left, shift right, shift down, or shift up, meaning that just the coordinates of the figure change, not the angles or the side lengths,

1. The translation of triangle ABC preserves side lengths and angles.

For a dilation, the coordinates of the vertices are multiplied by a constant, hence the side lengths change while the angles remain constant, thus:

2. The dilation of triangle ABC preserves angles but not side lengths.

Hence the correct options are, respectively, C and B.

More can be learned about transformations at brainly.com/question/4521517

#SPJ1

Prepare accounting equation:
a. Started business with Cash Rs. 250,000.

b. Purchased goods amounting to Rs. 45,000 on credit from Harish .

c. Goods costing to Rs.80,000 was sold for Rs.1,25,000 on credit.

d. Salaries outstanding Rs. 5000

e. Rent paid Rs. 50,000

f. Withdrawn by owner for personal use Rs.25,000.

assets = liabilities + capital

Answers

The accounting equation is:

Assets (Rs. 1,75,000 - Rs. 35,000) = Liabilities (Rs. 45,000 + Rs. 5,000) + Capital (Rs. 20,000)

We have,

Based on the given transactions, we can prepare the accounting equation as follows:

a. Started business with Cash Rs. 250,000.

Assets: Cash = Rs. 250,000

b. Purchased goods amounting to Rs. 45,000 on credit from Harish.

Assets: Cash = Rs. 250,000, Inventory = Rs. 45,000

Liabilities: Accounts Payable = Rs. 45,000

c. Goods costing to Rs. 80,000 was sold for Rs. 1,25,000 on credit.

Assets: Cash = Rs. 250,000, Accounts Receivable = Rs. 1,25,000

Inventory: Rs. 45,000 - Rs. 80,000 = Rs. -35,000 (Assuming no additional purchases or returns)

Liabilities: Accounts Payable = Rs. 45,000

Capital: Retained Earnings = Rs. 1,25,000 - Rs. 80,000 = Rs. 45,000

d. Salaries outstanding Rs. 5,000.

Liabilities: Salaries Payable = Rs. 5,000

e. Rent paid Rs. 50,000.

Assets: Cash = Rs. 250,000 - Rs. 50,000 = Rs. 2,00,000

f. Withdrawn by owner for personal use Rs. 25,000.

Assets: Cash = Rs. 2,00,000 - Rs. 25,000 = Rs. 1,75,000

Capital: Retained Earnings = Rs. 45,000 - Rs. 25,000 = Rs. 20,000

Now, let's summarize the accounting equation:

Assets:

Cash = Rs. 1,75,000

Inventory = Rs. -35,000 (negative value indicates loss or returns)

Liabilities:

Accounts Payable = Rs. 45,000

Salaries Payable = Rs. 5,000

Capital:

Retained Earnings = Rs. 20,000

Therefore,

The accounting equation is:

Assets (Rs. 1,75,000 - Rs. 35,000) = Liabilities (Rs. 45,000 + Rs. 5,000) + Capital (Rs. 20,000)

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

You have $400,000 saved for retirement. Your account earns 10% interest. How much will you be able to pull out each month, if you want to be able to take withdrawals for 20 years?

Answers

You will be able to withdraw $3,548.50 per month for 20 years if you have $400,000 saved for retirement and earn 10% interest.

To calculate the monthly withdrawals for a given time period, we can use the present value annuity formula. This formula allows us to calculate the fixed monthly withdrawal amount needed to deplete a given initial amount (in this case, $400,000) over a specified time period (20 years) at a given interest rate (10%).

The formula for present value annuity is:

PMT = PV * r / (1 - (1 + r)⁻ⁿ)

Where:

PMT = the fixed monthly withdrawal amount

PV = the present value of the initial investment ($400,000)

r = the interest rate per month (10%/12 = 0.00833)

n = the total number of monthly withdrawals (20 years * 12 months per year = 240)

Plugging in the values, we get:

PMT = 400,000 * 0.00833 / (1 - (1 + 0.00833)⁻²⁴⁰) = $3,548.50 (rounded to the nearest cent)

To learn more about withdrawals click on,

https://brainly.com/question/28098166

#SPJ1

The following table displays the number of sofas sold in a furniture store during certain months of the year.

Answers

Based on these data, the correct statement is B. The mean best describes the data.

What is the mean?

The mean is one of the measures of central tendency.

The mean is also described as the average.

The average or mean is the quotient of the total data value divided by the number of data items.

Furniture Store Sofa Sales

January              255

February            234

March                 263

April                   229

May                    248

Total sales =   1,229

The number of months of sales = 5

Mean = 245.8 (1,229 ÷ 5)

Thus, using the mean, we can conclude that the average sales from Januar to May were 245.8.

Learn more about the mean at https://brainly.com/question/1136789.

#SPJ1

Question Completion:

The following table displays the number of sofas sold in a furniture store during certain months of the year.

Furniture Store Sofa Sales

January 255

February 234

March 263

April 229

May 248

Based on these data, which statement is correct?

A. There are outliers.

B. The mean best describes the data.

C. The median best describes the data.

D. The measure of variability that best describes the data is the IQR, 27.5.

Can someone help me please

Answers

(a) The given system of equation as an augmented matrix is [tex]\left[\begin{array}{cccc}1&3&0&150\\0&1&0&250\\-1&-1&1&400\end{array}\right][/tex];

(b) For the given augmented matrix, the system of equations is

-5x-6y-4z=400;

    y+z=100;

-3x-3y-2z=150;

A "system-of-equations" is a set of two or more equations which contain multiple variables. The solution to the system of equations is the set of values for the variables that satisfy all the equations in the system.

An "Augmented-Matrix" is a way to represent a system of linear equations in a concise and organized manner. It is obtained by writing the coefficients of the variables and the constants in each equation in a rectangular array, with each row representing an equation.

Part(a) : The system-of-equations is given as :

x  + 3r +0m = 150

0x + r + 0m = 250

-x - r + m = 400,

We see that the first column of the matrix will have 1, 0, -1,

the second-column will have 3, 1, -1 ;

the third-column will have 0, 0, 1.

So, the Augmented Matrix is represented as : [tex]\left[\begin{array}{cccc}1&3&0&150\\0&1&0&250\\-1&-1&1&400\end{array}\right][/tex].

Part(b) :

The augmented-matrix is given as : [tex]\left[\begin{array}{cccc}-5&-6&-4&400\\0&1&1&100\\-3&-3&-2&150\end{array}\right][/tex],

In this matrix, the terms in the "first-column" will be multiplied by variable"x";

the terms in the "second-column" will be multiplied by variable"y"; and

the terms in the "third-column" will be multiplied by variable"z";

The term sin the "fourth-column" represents the output value.

So, "system-of-equation" will be represented as : -5x - 6y - 4z = 400;

 0x + y + z = 100;

-3x - 3y - 2z = 150.

Learn more about Matrix here

https://brainly.com/question/10921509

#SPJ1

Solve for y
Finally, solve the proportion for y.
y/8 = 10/y
y = √ [?]
M
Enter the square root NOT simplified.
=

Answers

The square root of y is not simplified and can be represented as:

y = √([tex]2^4 \times[/tex] 5) or y = 4√5.

To solve the proportion y/8 = 10/y for y, we can cross-multiply:

y [tex]\times[/tex] y = 8 [tex]\times[/tex]10

This simplifies to:

[tex]y^2[/tex] = 80

To solve for y, we can take the square root of both sides of the equation:

[tex]\sqrt{y^2[/tex] = √80

Since the square root of [tex]y^2[/tex] is simply y, we have:

y = √80

The square root of 80 can be further simplified by breaking it down into its prime factors. Since 80 can be expressed as 2 [tex]\times[/tex]2 [tex]\times[/tex]2 [tex]\times[/tex]2 [tex]\times[/tex]5, we can simplify the square root:

y = [tex]\sqrt(2 \times 2 \times 2 \times 2 \times 5)[/tex]

Therefore, the square root of y is not simplified and can be represented as:

y = [tex]\sqrt{(2^4 \times 5)[/tex] or y = 4√5.

For more such answers on Square root

https://brainly.com/question/428672

#SPJ8

Answer:

[tex]y = \sqrt{80\\} =4\sqrt{5}[/tex]

Step-by-step explanation:

A manager drew this box-and-whisker plot to represent the number of minutes each of his 27 employees took on their break. Each employee took a different amount of time.

How many employees took a break longer than 49 minutes?

Help please!
Note: Put the correct answer! I don't want to get this wrong!

Thank you <3

Answers

Approximately 7 employees took a break longer than 49 minutes.

We have,

In a box-and-whisker plot, the box represents the interquartile range (IQR), which includes the middle 50% of the data.

The line within the box represents the median.

The "whiskers" extend to the minimum and maximum values, excluding any outliers.

Given the information provided:

Median = 41

Q1 = 37

Q3 = 49

Largest = 55

Smallest = 35

Since Q3 represents the upper quartile and corresponds to the boundary for the upper 25% of the data, we can conclude that 25% of the employees took a break longer than 49 minutes.

Now,

The number of employees who took a break longer than 49 minutes can be estimated by calculating 25% of the total number of employees:

25% of 27 employees

= (25/100) x 27

= 6.75

Since we cannot have a fractional number of employees, we round up to the nearest whole number.

Therefore,

Approximately 7 employees took a break longer than 49 minutes.

Learn more about the interquartile range here:

https://brainly.com/question/29204101

#SPJ1

who can help me solve this pls need help

Answers

Answer:

Step-by-step explanation:

1+3=4

4x4=16

10/2=5

16-5=11

answer is 11

need help on this math question

Answers

The expression which gives the number of months passed in terms of p is √300 -0.5p

Subject of formula

We make t the subject of the formula in the expression

p = 600 - 2t²

subtract 600 from both sides in other to isolate 2t²

p - 600 = 600 - 2t² - 600

p - 600 = -2t²

Rearrange the equation

2t² = 600 - p

Divide both sides by 2 in other to isolate t²

2t²/2 = 600/2 - p/2

t² = 300 - 0.5p

Take the Square root of both sides in other to isolate t

√t² = √300 - 0.5p

t = √300 - 0.5p

Hence, the correct expression which gives the number of months t in terms of price p is t = √300 - 0.5p

Learn more on subject of formula ; https://brainly.com/question/21140562

#SPJ1

9.7/0.0268
need help please

Answers

This is a basic arithmetic problem and the solution to 9.7/0.0268 is equal to  361.94

Understanding Basic Arithmetic Operation

Basic Arithmetic Operations are fundamental to solving mathematical problems and they are addition (+), subtraction (-), multiplication (×) and division (÷).

1. Addition:

Addition is the process of combining two or more numbers to find their total or sum. The symbol used for addition is "+". For example, to add the numbers 3 and 5, you write it as:

3 + 5 = 8

Here, 3 and 5 are added together to get the sum, which is 8.

2. Subtraction:

Subtraction is the process of finding the difference between two numbers. The symbol used for subtraction is "-". For example, to subtract 5 from 8, you write it as:

8 - 5 = 3

Here, 5 is subtracted from 8 to get the difference, which is 3.

3. Multiplication:

Multiplication is the process of repeated addition or combining equal groups. The symbol used for multiplication is "×" or "*". For example, to multiply 4 and 6, you write it as:

4 × 6 = 24

Here, 4 is multiplied by 6 to get the product, which is 24.

4. Division:

Division is the process of dividing a number into equal parts or finding how many times one number is contained within another. The symbol used for division is "÷" or "/". For example, to divide 20 by 5, you write it as:

20 ÷ 5 = 4

Here, 20 is divided by 5 to get the quotient, which is 4.

Learn more about basic arithmetic here:

https://brainly.com/question/4721701

#SPJ1

what is an equation in point-slope form of the line shown in the graph, using the point (-2,-1)

Answers

The equation of the line in point-slope form, using the point (-2, -1), is: y + 1 = -2(x + 2)

How to Write the Equation of a Line in Point-slope Form?

The equation of a line in point-slope form is given by y - y₁ = m(x - x₁), where (x₁, y₁) represents a point on the line and m represents the slope.

Given:

Slope (m) = rise/run = -2

Point (-2, -1)

Substituting the given slope and point into the equation, we have:

y - (-1) = -2(x - (-2))

y + 1 = -2(x + 2)

Therefore, the equation of the line is: y + 1 = -2(x + 2).

Learn more about Point-slope Form on:

https://brainly.com/question/24907633

#SPJ1

Part 1​ ​An aquarium in Watertown, USA needs to confirm their measurements to be sure there is enough room for incoming injured whales coming from another aquarium on the coast.
Main Show Tank Calculation:​The main tank has a radius of 95 feet. What is the volume of the quarter-sphere sized tank? Round your answer to the nearest whole number. You must explain your answer using words, and you must show all work and calculations to receive credit.
Holding Tank Calculations: The holding tanks are congruent in size, and both are in the shape of a cylinder that has been cut in half vertically. The bottom of the tank is a curved surface. What is the volume of both tanks if the radius of tank #1 is 15 feet and the height of tank #2 is 120 feet? You must explain your answer using words, and you must show all work and calculations to receive credit.
Density Calculation: Using the calculations for the main and holding tanks above, what is the maximum number of killer whales allowed in the main show tank at any given time? The maximum density of killer whales per cubic foot is 0.000021142, You must explain your answer using words, and you must show all work and calculations to receive credit.

Answers

The volume of the quarter-sphere tank is approximately 1,387,244 cubic feet.

The volume of tank 1 is 353h cubic feet, and the volume of tank 2 is  31,416 cubic feet.

The main tank is in the shape of a quarter-sphere, which means it is a quarter of a full sphere.

The volume of a sphere is given by the formula V = (4/3)πr³, where r is the radius of the sphere.

Given that the radius of the main tank is 95 feet

we can substitute this value into the formula to calculate the volume:

V = (4/3)π(95³) = 1,387,244 cubic feet.

The holding tanks are in the shape of cylinders that have been cut in half vertically.

The volume of a cylinder is given by the formula V = πr²h, where r is the radius of the base and h is the height.

For tank 1, the radius is given as 15 feet. Since it is a half-cylinder, we divide the volume by 2:

V1 = (1/2)π(15²)h = 353h cubic feet.

For tank 2, the height is given as 120 feet.

V2 = (1/2)π(15²)(120) = 31,416 cubic feet.

The maximum density is 0.000021142 killer whales per cubic foot

we can calculate the maximum number of killer whales as follows:

Number of killer whales = (Volume of main show tank) / (Density of killer whales)

Number of killer whales = 1,387,244 / 0.000021142 ≈ 65,606,197.

Therefore, the maximum number of killer whales allowed in the main show tank at any given time is 65,606,197

To learn more on Volume click:

https://brainly.com/question/13798973

#SPJ1

What is the period of this function?
a.2
b.1
c.4
d.-1.15

Answers

The value of period of function is,

Period = 2

Since, A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

We have to given that;

The graph of function is shown in figure.

Since, The distance between the repetition of any function is called the period of the function.

And, For a trigonometric function, the length of one complete cycle is called a period.

Hence, By definition of period, we get;

The value of period of function is,

Period = 3 - 1

Period = 2

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ1

i need serious help someone pleaseeeee

Answers

The value of c in the polynomial is - 7.

How to solve polynomials?

The polynomial is given as follows:

p(x) = 2x³ - x² +  cx + 2 . The value of c if x - 2 is a factor of p(x) can be computed as follows:

Therefore,

p(x) = 2x³ - x² +  cx + 2

when x - 2 is a factor, p(x) = 0

Therefore,

0 = 2x³ - x² +  cx + 2

Hence,

2(2)³ - (2)² +  2c + 2 = 0

16 - 4 + 2c + 2 = 0

12 + 2 + 2c  = 0

2c = - 14

divide both sides by 2

c = - 14 / 2

c = - 7

Therefore,

c = -7

learn more on polynomials here: https://brainly.com/question/30127172

#SPJ1

What is the apparent solution set for the system of equations:
x ^ 2 + 3x - 2;
- x ^ 2 + 2x + 4

A) {(- 3.5, 0) , (-1.2, 0), (0.5, 0), (3.3, 0)}

B) {(0, 2), (1.5, - 4.25)}

C) {(- 2, - 4), (1.5, 4.75)}

D) {(0, 4), (1, 5)}

Answers

There are no apparent solutions that satisfy both equations.

We have,

The system of equations is:

x² + 3x - 2 = 0

-x² + 2x + 4 = 0

To find the solutions, we can solve each equation separately:

x² + 3x - 2 = 0

This equation can be factored as:

(x + 2)(x - 1) = 0

Setting each factor equal to zero gives:

x + 2 = 0

x = -2

And,

x - 1 = 0

x = 1

-x² + 2x + 4 = 0

This equation does not factor easily, so we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For this equation, a = -1, b = 2, and c = 4.

Plugging in the values into the quadratic formula:

x = (-2 ± √(2² - 4(-1)(4))) / (2(-1))

x = (-2 ± √(4 + 16)) / (-2)

x = (-2 ± √20) / (-2)

Simplifying further:

x = (-2 ± 2√5) / (-2)

x = 1 ± √5

Now,

let's check which of these solutions satisfies both equations:

For x = -2:

(-2)² + 3(-2) - 2 = 4 - 6 - 2 = -4 ≠ 0

-(-2)² + 2(-2) + 4 = -4 - 4 + 4 = -4 ≠ 0

x = -2 does not satisfy both equations.

For x = 1:

1² + 3(1) - 2 = 1 + 3 - 2 = 2 ≠ 0

-(1)² + 2(1) + 4 = -1 + 2 + 4 = 5 ≠ 0

x = 1 does not satisfy both equations.

For x = 1 ± √5:

We can substitute these values into the equations, but it can be seen that they will not satisfy both equations either.

Therefore,

There are no apparent solutions that satisfy both equations.

Learn more about solutions to equations here:

https://brainly.com/question/545403

#SPJ1

ANSWER ASAP!! (GIVING BRAINLIEST IF CORRECT!!)

A scale has a percent error of 5%. The actual mass of a rock is 30 g.

The scale is likely to show the mass as either;


A: 25 g. or 30 g.

B: 25.5 g. or 30.5 g.

C: 28 g or 31.5 g.

D: 28.5 g. or 31.5 g.

Answers

Answer:

ans d

Step-by-step explanation:

5 percent of 30 is 1.5 so d

Vanessa makes 7 identical flower arrangements for the tables at a banquet. Each arrangement contains some roses and 9 tulips. Vanessa uses a total of 147 flowers to make the arrangements. How many roses are in each arrangement?​

Answers

Let's assume the number of roses in each arrangement is represented by "r".

Since Vanessa makes 7 identical flower arrangements, the total number of roses used in all the arrangements is 7r.

We know that each arrangement contains 9 tulips, so the total number of tulips used in all the arrangements is 7 * 9 = 63.

The total number of flowers used in all the arrangements is given as 147.

Therefore, we can write the equation:
7r + 63 = 147

To find the number of roses (r), we can solve this equation.

Subtracting 63 from both sides of the equation:
7r = 147 - 63
7r = 84

Dividing both sides of the equation by 7:
r = 84 / 7
r = 12

Hence, there are 12 roses in each flower arrangement.

Triangle ABC is the preimage of a transformation that consists of a reflection across x -axis followed by a reflection across the y -axis. Which of the triangles is the image of △ABC under this transformation? Select the triangle that corresponds to the image △A′B′C′ .

Answers

The image triangle △A'B'C' is formed by reflecting triangle ABC across the origin, resulting in each point's coordinates being negated.

The preimage triangle ABC undergoes a reflection across the x-axis followed by a reflection across the y-axis.

To determine the image triangle △A'B'C', we need to understand the effects of these transformations.

Reflection across the x-axis flips the points of the preimage vertically, while reflection across the y-axis flips the points horizontally.

When both reflections are applied successively, the resulting image will be a reflection across the origin (0,0).

Given that, the image triangle △A'B'C' will be the reflection of triangle ABC across the origin.

In this case, the x-coordinate and y-coordinate of each point in triangle ABC will be negated to obtain the corresponding point in △A'B'C'.

Let's consider the points of triangle ABC:

A(x₁, y₁), B(x₂, y₂), C(x₃, y₃)

To obtain the corresponding points in △A'B'C', we negate the x and y coordinates:

A'(-x₁, -y₁), B'(-x₂, -y₂), C'(-x₃, -y₃)

Therefore, the image triangle △A'B'C' is formed by reflecting triangle ABC across the origin, resulting in each point's coordinates being negated.

Note: It's important to note that without the actual coordinates of triangle ABC, it's not possible to determine the specific shape or size of the image triangle △A'B'C'.

For similar question on triangle.

https://brainly.com/question/21735282

#SPJ11

Tanya flew 2,299 miles the first year on the job. She flew 3,831 miles the second year. Tanya flew 1,510 more miles the third year than the first and second years combined. How many miles did Tanya fly the third year?

Please help me!!

Answers

Answer: 7,640

Step-by-step explanation: Because we know that she flew 2,299 the first year and 3,831 the second, we can add them together to get: 6,130. It says that she flew 1,510 more miles the third year than the first and second combined. Therefore: 6,130 + 1,510 = 7,640

The answer is 7,640 miles.

To solve it, find the sum of the first 2 years,
2,299+3,831= 6,130
and then add the additional 1,510 to it,
6,130+1,510=7,640
Other Questions
What is considered a behavioral stressor? What are the 4 trophic levels of the food chain give an example of each one? Python Code to be wriiten:Will mark as brainliest if correct!A bunny can hop at most 50 centimetres far. It wants to cross to the other side of the river, but it cannot swim. So the only hope is to hop on the rocks on the river, which are positioned in a straight line. The positions of the rocks are measured from the start location, assuming that the bunny starts at the 0 cm mark. The opposite bank could be treated as a big rock. It is the final rock in the tuple of rocks.In the Figure below, the rocks are at locations 32, 46, 70, 85, 96, 123, and the opposite riverbank is at location 145.The bunny will jump as far as it could for each hop. What is the smallest number of jumps it needs to take to reach the other side of the river? For the above example, it needs to make 3 jumps, as shown in the diagram above.You may assume that there are at most 20 rocks (including the opposite bank).Write a function rabbit that takes in a tuple representing the locations of the rocks. Your function should return the minimum number of jumps needed, or -1 if it is not possible for the bunny to reach the other side of the river. You may assume that the locations of the rocks in the tuple are valid (bigger than 0) and they are sorted in ascending order.def rabbit(rocks):# Fill in your code hereTest Cases:rabbit((32, 46, 70, 85, 96, 123, 145)) 3rabbit((40, 70, 150, 160, 180)) -1rabbit((30, 70, 75, 120, 160, 170, 180, 190, 200, 246, 258)) 7rabbit((51, 52, 53, 54, 55, 56, 57, 58)) -1rabbit((50, 51, 101, 102, 152, 153, 203, 204, 254, 255, 305, 306, 356, 357, 407)) 15 In 1902, coal miners went on strike and the mine operators refused to bargain. Five months into the strike, coal reserves ran low and president theodore roosevelt intervened. Both sides finally agreed to have a third party work out a compromise settlement. What did president roosevelt's actions demonstrate?. What is the mass of 3.25 moles of NaF 5. Waimarama goe on a flight from Bueno Aire to Auckland and mie all 24 hour of her birthday. How could thi happen? Decribe a flight where that would happen What was Franklin Roosevelt's response to the banking crisis after he became president? The total energy, E, in joules of a metal cylinder with an angular velocity of w radians per secondand a height of h meters above the ground is given by the equation above. The height andangular velocity are independent. Which of the following expressions is the energy due to theangular velocity? Find the coordinate of the point where the line through (-1, 1, - 8) and(5,-2, 10) croe the ZX plane. The Vincent family uses up a 12-gallon jug of milk every 3 days. At what rate do they drink milk? Q. What is point of view in regards to literature?A) Point of view is who is telling the story.B) The way a writer creates a connection to the characters in the story.C) A perspective or opinion. It is the way someone thinks, feels, or believes.D) The reason an author writes. The division property of equality could be used to solve which of the following equations?X/4= 16(x+2)(x-2) = 05 x=30x+3=7 help help help plsss 100 pointssolve each system by graphingy=5/4x + 1y=1/4x-3 10. Last year students were offered pictures for purchase as a basic package plus sheets of portraits.The table below shows the relationship between p, the number of sheets of portraits purchased, and c,the total cost of all the pictures ordered.Number of PortraitSheets, p1368Total Cost ($), C3349738911.3=3310+23This year the price of the basic package increased by $3. What is the new cost of 4 sheets of portraits? a nucleotide consists of a nitrogenous base, along with Why i decide to invest my money in savings account? How does the impact of human activity on one part of Earth's system affect another part of Earth's system? In 23 complete sentences, thoroughly explain the theme of your Module One short story. What message or big idea does the author communicate through the story? Provide at least two specific details from the text to support your analysis of the theme.(my story is rules of the game) What are the point and nonpoint sources of water pollution?