Whatis the value of # y_ When y = 5 and x = 10?

Using  the substitution method, the solution of the system of equations -4x + y = 3 and 5x - 2y = -9 is (x, y) = (1, 7)

We can solve this system of equations using the substitution method by solving for one variable in terms of the other in one equation, and then substituting that expression into the other equation. Here's how:

-4x + y = 3 (Equation 1)

5x - 2y = -9 (Equation 2)

Solving Equation 1 for y, we get:

y = 4x + 3

Now, we substitute this expression for y into Equation 2 and solve for x:

5x - 2(4x + 3) = -9

5x - 8x - 6 = -9

-3x = -3

x = 1

We have found the value of x to be 1. Now, we substitute this value back into Equation 1 to find the value of y:

-4(1) + y = 3

y = 7

Therefore, the solution to the system of equations is (x, y) = (1, 7)

Learn more about substitution method here

brainly.com/question/14619835

#SPJ4

For the given system of linear inequalities (53, 4) represents 53 batches of soap and 4 batches of lotion were produced.

An equation with a linear expression and a relational operator is referred to as a linear inequality. Regions in a coordinate plane or space that fulfil a linear inequality are defined by the inequality. A linear inequality in two dimensions defines a half-plane, which, depending on the inequality, is either above or below a line. A linear inequality in three dimensions defines a half-space that, depending on the inequality, is either above or below a plane. In optimization situations, when the objective is to determine the greatest or lowest value of a linear function under a set of constraints represented by linear inequalities, linear inequalities are frequently utilised.

The given system of inequalities is:

5x + 15y ≤ 325

20x + 35y ≤ 1200

Here, x is the number of batches of soap and y is the number of batches of lotion.

Thus, (53, 4) represents 53 batches of soap and 4 batches of lotion were produced.

Learn more about linear inequality here:

https://brainly.com/question/29068591

#SPJ1

The surface area of the rectangular prism is 170 square yards.

Surface area is the total area of a three-dimensional shape's surface. Add the areas of all six faces to find the surface area of a cuboid with six rectangular faces. Alternatively, label the cuboid's length (l), width (w), and height (h) and use the formula: surface area (SA)=2lw+2lh+2hw.

To calculate the surface area of the rectangular prism, add the areas of each of its faces.

The front and back faces are 5 yards by 6 yards in size, so each has an area of:

5 yards x 6 yards equals 30 square yards

The top and bottom faces are 5 yards by 5 yards, so each has an area of:

5 yards x 5 yards equals 25 square yards

The two side faces have dimensions of 6 yards by 5 yards, for a total area of:

30 square yards = 6 yards x 5 yards

As a result, the surface area of the rectangular prism is as follows:

Front face area plus back face area plus top face area plus bottom face area plus left side face area plus right side face area

= 30+30+25+25+30+30

= 170 square yards

As a result, the rectangular prism has a surface area of 170 square yards.

To know more about surface area visit:

hhttps://brainly.com/question/29298005

#SPJ1

The specificity of the test based on the given screening results is 0.967 (rounded to three decimal places).

To calculate the specificity, divide the number of true negatives (TN) by the total number of negative results (TN+FP). In this case, that would be 687/(687+22), which is equal to 0.967 (rounded to three decimal places).

for more questions related to true negatives, refer here:

https://brainly.com/question/10892758#

#SPJ11

By dividing we get: -6/2 ÷ 5 = -6/10 = -3/5, -4/3 ÷ 7 = -4/21, -224 ÷ 155 = -1.445, 224 ÷ 155 = 1.448, -519/35 = -14.83, 519/35 = 14.83.

.

To divide fractions, we need to remember the rule: "invert and multiply." This means that we take the reciprocal of the second fraction and then multiply it by the first fraction. For example, to divide -6/5 by 2/5, we invert 2/5 to get 5/2 and then multiply it by -6/5 to get -6/5 x 5/2 = -15/2. Similarly, to divide 224/155 by -1, we invert -1 to get -1/1 and then multiply it by 224/155 to get -224/155. To divide 519/35 by itself, we simply get 1 as the answer.

Learn more about division here: brainly.com/question/21416852

#SPJ4

Complete question:

Divide:

1. negative 6 and 2 over 5

2. negative 4 and 3 over 7

3. negative 224 over 155

4. 224 over 155

5. negative 519 over 35

6. 519 over 35

Answer:

[tex]\boxed{x=0}[/tex]

Step-by-step explanation:

We need solve for x

[tex]3=x+3-5x[/tex]

substract 3 to both sides of the equation:

[tex]3-3=x+3-5x-3\\0=-4x[/tex]

divide both sides of the equation by -4

[tex]\frac{0}{-4}=\frac{-4x}{-4}\\0=x\\\equiv x=0[/tex]

The value of "x" that satisfies the equation is x=0,

[tex]\text{-B$\mathfrak{randon}$VN}[/tex]

Answer:

e. 8/00 ggg： What sum of money amounts to Rs. 8700 in 3 years at the rate of 24% per annum? [Ans: Rs. 5058.14]

Step-by-step explanation:

Answer: 38 I think if it's not right I'm sorry I'm bad at math that's like the only thing I suck at

Step-by-step explanation:

Sure! I can help you with that.

First, we should calculate the profit made by the shopkeeper. To calculate the profit, we will multiply the selling price of the table with 20%, which is 20% of 5400, or 1080.

Next, we should subtract the profit from the selling price to find the cost price of the table.

The cost price of the table = 5400 - 1080

The cost price of the table = 4320

Therefore, the cost price of the table is ₹ 4320.

The populations of the listed countries are

India is 1.366 billion

China is 1.397 billion

Argentina is 45 million

the United States is 332 million

and Egypt is 102 million people.

Let's start with India. According to the World Bank, India's population is approximately 1.366 billion people, which is the second-largest population in the world after China. India's land area is approximately 1.269 million square miles.

Moving on to China, it has the largest population in the world, with approximately 1.397 billion people. China's land area is approximately 3.705 million square miles, making it the fourth-largest country in terms of land area.

Argentina, on the other hand, has a population of approximately 45 million people, with a land area of approximately 1.073 million square miles. This makes it the eighth-largest country in the world in terms of land area.

The United States has a population of approximately 332 million people, and its land area is approximately 3.796 million square miles. It is the third-largest country in terms of land area and the fourth-largest in terms of population.

Lastly, Egypt has a population of approximately 102 million people, with a land area of approximately 386 thousand square miles. It is the 30th largest country in terms of land area and the 14th most populous country in the world.

To know more about population here

https://brainly.com/question/27991860

#SPJ4

Answer:

2x=5 > -14

Step-by-step explanation:

6(x - 2) -3 ≥ -4 ( -3 + 9) +10​
6x-12-3 > 12-36+10
6x-15 > -36+22
6x-15 > -14
6x=15 > -14
3    3        
2x=5 > -14

Te surface area of the smaller figure based on the ratio is 1600m²

The ratio of the volumes of two similar figures is equal to the cube of the ratio of their corresponding sides.

Let x be the scale factor between the smaller and larger figures.

Then we have:

(x³)/(4000) = 6912

x³ = 6912/4000

x³ = 1.728

Taking the cube root of both sides, we get:

x = 1.2

So the scale factor from the larger figure to the smaller figure is 1:1.2.

The surface area of a similar figure is proportional to the square of the scale factor.

So we can use the scale factor to find the ratio of the surface areas:

SA(smaller) / SA(larger) = 1/(1.2)²

We know that the surface area of the larger figure is 2304m^2, so we can solve for the surface area of the smaller figure:

SA(smaller) = 2304 * 1/(1.2)²

SA(smaller) = 1600m²

Therefore, the surface area of the smaller figure is 1600m²

Read more about surface area at

https://brainly.com/question/16519513

#SPJ1

The listed price of the TV that Wayne bought was $947.37

Here we know that Wayne pays $660 for a TV whose price was marked down by (30 + 1/3)%

We can rewrite that discount as 0.30333... in a decimal form (get that just by dividing the percentage by 100%)

Then if the lited price of the TV is P, we can write the equation for the discount as follows:

660  = P*(1 - 0.3033...)

The number that we subtract is the percentage in decimal form.

Solving this for P gives:

P = 660/(1- 0.3033...) = 947.37

The listed price was 947.37 dollars.

Learn more about percentages at:

https://brainly.com/question/843074

#SPJ1

Answer:

2 9/14

Step-by-step explanation:

Answer:

If a quadratic equation has solutions of -3 and -4, then it can be written in factored form as:

(x + 3)(x + 4) = 0

To convert this to standard form, we can multiply out the factors:

x^2 + 7x + 12 = 0

Therefore, the quadratic equation in standard form that has solutions of -3 and -4 is:

x^2 + 7x + 12 = 0

The linear relationship of Maggie crocheting squares is y = 6 + 6x graph (b)

Let x be the number of hours Maggie spends crocheting squares, and let y be the total number of squares she has made.

Initially, Maggie has 6 squares made,

so y = 6 when x = 0.

For each hour that she spends crocheting squares, Maggie makes 6 more squares.

Therefore, the relationship between x and y is:

y = 6 + 6x

This is a linear relationship with a slope of 6, which means that Maggie is crocheting squares at a rate of 6 squares per hour.

This is represented by graph (b)

Read more about linear functions at

https://brainly.com/question/14323743

#SPJ1

According to the given information, the solution to H(x) = 3 is x = 2.

What is equation?

In mathematics, an equation is a statement that asserts the equality of two expressions. An equation typically consists of two parts: the left-hand side (LHS) and the right-hand side (RHS). The LHS and RHS are separated by an equals sign (=), indicating that they have the same value. The general form of an equation is: LHS = RHS

To solve for x when H(x) = 3, we substitute 3 for H(x) in the equation and solve for x:

H(x) = -x + 5

3 = -x + 5

Subtracting 5 from both sides, we get:

-2 = -x

Multiplying both sides by -1, we get:

2 = x

Therefore, the solution to H(x) = 3 is x = 2.

To learn more about equation visit:

https://brainly.com/question/2972832

#SPJ1

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathtt{h(x) = -x + 5}\\\\\mathtt{3 = -x + 5}\\\\\mathtt{-x + 5 = 3}\\\\\textsf{SUBTRACT 5 to BOTH SIDES}\\\\\mathtt{-x + 5 - 5 = 3 - 5}\\\\\textsf{SIMPLIFY it}\\\\\mathtt{-x = 3 - 5}\\\\\mathtt{-x = -2}\\\\\mathtt{-1x = -2}\\\\\textsf{DIVIDE }\mathsf{-1}\textsf{ to BOTH SIDES}\\\\\mathtt{\dfrac{-1x}{-1} = \dfrac{-2}{-1}}\\\\\textsf{SIMPLIFY it}\\\\\mathtt{x = \dfrac{-2}{-1}}\\\\\mathtt{x = 2}[/tex]

[tex]\huge\text{Therefore your answer should be:}\\\\\huge\boxed{\mathtt{x = 2}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

The probability density function (PDF) of Y can be determined by the transformation of the PDF of X. Using the transformation rule, we can calculate that fy(y) = fx(x) |dx/dy|, where x is a function of y, since y = Fx(x).

We can use the Chain Rule to determine the derivative of x with respect to y. Since Fx is a monotone increasing function, dx/dy = 1/F'x(x). Substituting this into the transformation rule, fy(y) = fx(x) / F'x(x).

Therefore, to find fy(y), we need to calculate F'x(x). Fx is the cumulative distribution function, which means that its derivative F'x(x) is the probability density function of X, or fx(x). Substituting this into the transformation rule, fy(y) = fx(x) / fx(x). Since fx(x) = fx(2) and fx(2) is a constant, fy(y) = 1/fx(2).

To summarize, the probability density function of Y is given by fy(y) = 1/fx(2).

for such more questions on probability density function

https://brainly.com/question/28705601

#SPJ11

Based on the given data, The shape's whole surface area is about 252 mm².

Based on the image, the shape appears to be a set of rectangles with different lengths and widths.

To find the area of this shape, we can break it down into smaller rectangles and add up their areas.

Starting from the bottom, we can see that the first rectangle has a length of 6 mm and a width of 4 mm. Its area is:

Area1

= 6 mm × 4 mm

= 24 mm²

Moving up to the second rectangle, we see that it has a length of 6 mm and a width of 3 mm. Its area is:

Area2

= 6 mm × 3 mm

= 18 mm²

The third rectangle has a length of 6 mm and a width of 5 mm. Its area is:

Area3

= 6 mm × 5 mm

= 30 mm²

The fourth rectangle has a length of 6 mm and a width of 3 mm. Its area is:

Area4

= 6 mm × 3 mm

= 18 mm²

The fifth rectangle has a length of 6 mm and a width of 15 mm. Its area is:

Area5

= 6 mm × 15 mm

= 90 mm²

The sixth rectangle has a length of 3 mm and a width of 9 mm. Its area is:

Area6

= 3 mm × 9 mm

= 27 mm²

Finally, the seventh rectangle has a length of 5 mm and a width of 9 mm. Its area is:

Area7

= 5 mm × 9 mm

= 45 mm²

To find the total area of the shape, we can add up the areas of all seven rectangles:

Total Area

= Area1 + Area2 + Area3 + Area4 + Area5 + Area6 + Area7

= 24 mm² + 18 mm² + 30 mm² + 18 mm² + 90 mm² + 27 mm² + 45 mm²

= 252 mm²

Therefore, the total area of the shape is approximately 252 mm².

To learn more about area click here

brainly.com/question/27683633

#SPJ4

Given that he is from the Dominican Republic, the likelihood that the chosen player is a pitcher is roughly 0.053.

The study of arbitrary events or experiments falls under the purview of probability, a subfield of mathematics. A value between 0 (impossible) and 1 is used to estimate the possibility or chance of an event occurring (certain). Several disciplines, including science, engineering, economics, finance, and more, utilise the idea of probability. It is frequently determined by dividing the number of positive events by the total number of outcomes that could occur.

given

(a) To find P, we can utilize the complement rule (T&D). The addition to T&D is the possibility that the chosen player is a pitcher or a Dominican. We thus have:

The equation P(T&D) = 1 - P(T'UD') = 1 - P(T') - P(D') + P(T'D')

P(T), P(D), and P(TD) are all provided as 0.42, 0.105, and 0.056 respectively. As a result, we may determine the complements' probabilities:

P(T') = 1 - P(T) = 1 - 0.42 = 0.58 P(D') = 1 - P(D) = 1 - 0.105 = 0.895 P(T'D') = P(TD)' = 1 - (P(T) + P(D) - P(TD)) = 1 - (0.471 + 0.42 + 0.105 - 0.056)

By replacing these values, we obtain:

P(T&D) = 1 - 0.58 - 0.895 + 0.471 = 0.046

As a result, there is a 0.046 percent chance that the chosen player is a non-pitcher from outside the Dominican Republic.

(b) In order to determine the likelihood that the chosen player is a pitcher given that he is from the Dominican Republic, we must first determine P(P|D). Bayes' Theorem may be applied:

P(P|D) equals P(D|P)P(P)/P (D)

P(D) = 0.105 and P(TD) = 0.056 are the values provided. Therefore,

P(P) is defined as P(TD') / P(D') = 0.056 / 0.895 0.0626.

P(D|P) is equal to P(T|D) / P(P) = 0.056 / 0.0626 0.895.

By replacing these values, we obtain:

P(P|D) = (0.895)(0.0626) / 0.105 ≈ 0.053

Given that he is from the Dominican Republic, the likelihood that the chosen player is a pitcher is roughly 0.053.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ1

The complete question is :-   Of all major league baseball players on 2008 Opening Day rosters:

42% are pitchers (call this event T)

10.5% are from the Dominican Republic (call this event D)

5.6% are pitchers from the Dominican Republic

A player is selected at random.

(a) Find P(T&D), the probability that that the selected player is a non-pitcher who is not from the Dominican.

(b) Given the information that the selected player is from the Dominican Republic, what is the probability that he is a pitcher?

(c) Given the information that the selected player is a non-pitcher, what is the probability that he is not Dominican?

Answer:

a. To write a linear function that relates the length of hair to the number of months, we need to find the slope and y-intercept of the line that passes through the given points. We can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.

Using the given data, we can find the slope as:

m = (y2 - y1) / (x2 - x1) = (14.0 - 11.0) / (6 - 0) = 0.5

And we can find the y-intercept as:

b = y - mx = 11.0 - 0.5(0) = 11.0

So, the linear function that relates the length of hair to the number of months is:

y = 0.5x + 11.0

We can also graph this function as a straight line, passing through the given points (0, 11.0), (3, 12.5) and (6, 14.0), as shown below:

linear function graph

b. The slope of the function is 0.5, which means that the length of hair increases by 0.5 inches every month. In other words, the slope represents the rate of change of hair length with respect to time.

The y-intercept of the function is 11.0, which means that if the person doesn't cut their hair at all (i.e., x = 0), their hair length would still be 11.0 inches. In other words, the y-intercept represents the starting value of the hair length.

(please mark my answer as brainliest)

Given a normal distribution is observed from the number of points per game for a certain basketball player. The mean for this distribution is 20 points and the standard deviation is 3 points.Using the empirical rule for normal distributions, the probability that in a randomly selected game the player scored less than 26 points is required .Empirical Rule: For a normal distribution with a mean µ and a standard deviation σ, the probability of an observation being within k standard deviations of the mean is approximately:•

68% of the observations fall within one standard deviation of the mean.• 95% of the observations fall within two standard deviations of the mean.• 99.7% of the observations fall within three standard deviations of the mean.Here, the mean is 20 points and the standard deviation is 3 points. We need to find the probability of getting less than 26 points.z-score = (x - µ) / σ = (26 - 20) / 3 = 2σ = 2According to the empirical rule, 95% of observations fall within 2 standard deviations of the mean.So, the probability that the player scored less than 26 points is 95%.Therefore, the final answer is 95% rounded to one decimal place. Answer: 95%.

for such more questions on probability

https://brainly.com/question/24756209

#SPJ11

The fraction of the guests are 10 or 11 years old is 5/6

A fraction represents a part of a whole, where the whole is divided into equal parts.

To find the fraction of guests who are 10 or 11 years old, we need to add the fractions of guests who are 10 years old and 11 years old.

3/12 of the guests are 10 years old, which can be simplified to 1/4.

7/12 of the guests are 11 years old.

Therefore, the fraction of guests who are 10 or 11 years old is

1/4 + 7/12 = 3/12 + 7/12

Add the fractions

= 10/12

Simplify the fraction

= 5/6

Learn more about fraction here

brainly.com/question/29276116

#SPJ4

The cumulative distributive function (CDF) Fx(3) is 0.61.

The cumulative distributive function (CDF) of a random variable X is the probability that X takes a value less than or equal to x. In this case, we are asked to find Fx(3).

Since the random variable X is given with a probability mass function, we can calculate the CDF by summing the probabilities of X being less than or equal to 3. This can be expressed as: [tex]Fx(3) = P(X<=3).[/tex]
For X = 0, P(X<=3) = 0.23.
For X = 1, P(X<=3) = 0.23 + 0.13 = 0.36.
For X = 2, P(X<=3) = 0.23 + 0.13 + 0.10 = 0.46.
For X = 3, P(X<=3) = 0.23 + 0.13 + 0.10 + 0.15 = 0.61.

Therefore, the cumulative distributive function (CDF) Fx(3) is 0.61.

for such more questions on cumulative distributive function

https://brainly.com/question/28197165

#SPJ11

Answer:

False.

Step-by-step explanation:

A triangle's two smaller sides have to add to be bigger than the larger side.

Answer:

False, that cannot exist by the hypotenuse rule

Hope it helps!

Answer:

x = 0

y = 4

Step-by-step explanation:

x + 3y = 12                       x = -2y + 8

-2y + 8 + 3y = 12

y + 8 = 12

y = 4

Now put 4 in for y and solve for x

x + 3(4) = 12    

x + 12 = 12

x = 0

Let's Check

0 + 3(4) = 12    

12 = 12

So, x = 0 and y = 4 is the correct answer!

1) Option a. Depreciation expenses of $6,710 will be recorded each year. is correct.

2) Option c. 175,000 × 7.99% is correct

3) Option b. $105,000 is correct.

1) The annual payments of $10,000 and the recorded cost of the asset of $67,100 are used to calculate the annual depreciation expense using the straight-line method.

Depreciation expense = (Recorded cost of the asset - Residual value) / Useful life

= ($67,100 - $0) / 10 years

= $6,710 per year.

2) The effective interest method calculates interest expense by multiplying the carrying value of the bond (i.e., the amount at which it was issued minus any discount or plus any premium) by the effective interest rate (i.e., the rate that discounts the bond's future cash flows to the carrying value).

Therefore, the interest expense for the first year on the bonds would be $175,000 × 7.99% = $13,965.

3) The dividends declared during the year can be calculated as follows:

Dividends declared = Net income - Increase in retained earnings - Decrease in dividends payable

= $150,000 - ($345,000 - $300,000) - ($29,000 - $19,000)

= $105,000.

To know more about the "Depreciation expense":https://brainly.com/question/28108679

#SPJ11

Answer:

Step-by-step explanation:

which band?

If the cost price of 20 articles is the same as selling price of 16 articles, then the gain percentage is 25%

To find the gain percent, we first need to calculate the profit earned on the sale of the 16 articles.

Let the cost price of each article be "C" and the selling price of each article be "S".

Given that the cost price of 20 articles is the same as the selling price of 16 articles, we can write:

20C = 16S

We can simplify this equation to:

S = (20/16)C = (5/4)C

Now, let's calculate the profit earned on the sale of 16 articles:

Profit = Total Selling Price - Total Cost Price

Profit = 16S - 20C

Profit = 16(5/4)C - 20C

Profit = 5C/2

The profit earned is 5C/2. The profit percent can be calculated as:

Profit Percent = (Profit / Cost Price) x 100

Profit Percent = (5C/2) / (20C) x 100

Profit Percent = 25%

Learn more about gain percentage here

brainly.com/question/24344510

#SPJ4

the solution to the equation -16p + 37 = 49 - 21p is p = 12/5. The equation -16p + 37 = 49 - 21p is a simple linear equation with one variable, p.

Linear equations are equations where the highest exponent of the variable is one, and they can be solved using algebraic techniques.

To solve this equation, we need to isolate the variable, p, on one side of the equation. We can start by simplifying the equation by combining like terms. To do this, we can add 21p to both sides of the equation, which gives us:

-16p + 37 + 21p = 49

Next, we can combine the terms -16p and 21p, which gives us 5p. So, the equation becomes:

5p + 37 = 49

We can further simplify the equation by subtracting 37 from both sides, which gives us:

5p = 12

Finally, we can solve for p by dividing both sides of the equation by 5:

p = 12/5

So, the solution to the equation -16p + 37 = 49 - 21p is p = 12/5.

In summary, the given equation is a simple linear equation that can be solved using algebraic techniques. We can isolate the variable, p, on one side of the equation by combining like terms and simplifying the equation. Finally, we can solve for p by dividing both sides of the equation by the coefficient of p.

To know more about algebraic techniques. click here:

brainly.com/question/29425409

#SPJ4