What is the slope of the line 4x - 8y = 16 ?*

Answer:

-7

Step-by-step explanation:

The y intercept of a line is the y value of the line when the x value = 0

In this case we are given the coordinates (0, -7)

so when x =0   y= -7

Therefore, the y- intercept is -7

Answer:

-7

Step-by-step explanation:

The y intercept of a line is the y value of the line when the x value = 0

In this case we are given the coordinates (0, -7)

so when x =0   y= -7

Therefore, the y- intercept is -7

Answer: -120

Hope this helps!!

Answer:

-120

Step-by-step explanation:

Step-by-step explanation:

Quesion 1

The cost of one chair can be found by dividing the cost of the total chairs by the number of chairs

hence, cost per chair= 150/50= $3 per chair

Question 2

let us find the number of walnuts per bag

= 330/6

=55 walnuts per bag

hence in two bags there will be 55*2= 110 walnuts

Question 3

Option D is an example of a unit rate.

The unit rate is defined as the cost of one unit of an item, or the value that represents a unit of a quantity... D 18 miles driven in a week

Step-by-step explanation:

Amount of green clay at the start = 57g + 31g = 88g.

Amouny of green clay used = 88g - 18g = 70g.

Hence 70g of green clay was used during the week.

Answer:

if you mean that it look like this < or this > then its “less than or equal to“ or “greater than or equal to”

I hope this helped!!

OH and have a merry Christma!!!!!

Answer:

0.05n + 0.10 d =24.40

Step-by-step explanation:

Nickel is worth 0.05 of a dollar(1)

The system of equations below would be the best to use to find the number of nickels and dimes Anthony had at the end of the first week is:

n + d = 368

0.05n + 0.10d = 24.40

The number of nickels and dimes Anthony saved at the end of the first week can be determined using two equations. This is known as simultaneous equations.

The total number of nickels and dimes in the jar is 368. This can be represented with the equation:

nickels + dimes = 368

n + d = 368. This would be the first equation.

A nickel is equal to 0.05 of a dollar and a dime is equal to 0.1 of a dollar. The total sum of money in the jar is $24.40. This means that the value of dimes and nickels in the jar is $24.40. This can be represented with the equation: 0.05n + 0.10d = 24.40. This is the second equation.

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

Answer:

10

Step-by-step explanation:

refer attachment for detailed answer

Answer:

6⋅6⋅6⋅6

Explanation: The  exponent refers to the number of times a number is multiplied by itself.  6^4 represents that 6 is being multiplied 4 times.

[tex]6^{4}[/tex]

Base ⇒ 6

Exponent ⇒ 4

Given :

An equation 2cot x = -3sec x .

To Find :

the values of x in [0, 360°) which satisfy the given equation.

Solution :

Converting cot x and sec x in the form of sin x and cos x.

[tex]\dfrac{2cos \ x}{sin\ x}= \dfrac{-3}{cosx}\\\\2cos^2 x +3 sin\ x =0\\\\2( 1 - sin^2 x ) + 3sin \ x = 0 \\\\2sin^2 x -3sin\ x -2 = 0\\\\2sin^2\x -4sin\ x + sin\ x -2 = 0\\\\2sin\ x( sin\ x - 2 )+ 1( sin \ x - 2 ) = 0\\\\sin \ x = \dfrac{-1}{2} \ or\ sin \ x = 2[/tex]

Neglecting sin x = 2 because sin x cannot be greater than 1.

x = π - π/6, π + π/6

x = 5π/6 and x = 7π /6

Therefore, the values of x in [0,360°) is  5π/6 and x = 7π /6 .

Answer:

2 is the value that provides the same result with f(x) and g(x).

Step-by-step explanation:

You can solve this by saying:

f(x) = g(x)

and then solving for x.

So let's do it:

[tex]f(x) = g(x)\\-0.5x + 2 = 2x - 3\\2x + 0.5x = 2 + 3\\2.5x = 5\\x = 2[/tex]

This tells us that when x = 2, the two functions will have identical values.  Let's try them out to confirm it!

f(x) = -0.5x + 2

f(2) = -0.5 * 2 + 2

f(2) = -1 + 2

f(2) = 1

g(x) = 2x - 3

g(2) = 2 * 2 - 3

g(2) = 4 - 3

g(2) = 1

So we can see that 2 is the value that produces the same result in both charts.

The input value that produces the same output value in both charts is 2. so the correct answer is option D.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

here, we have,

You are given two functions  f (x) = -0.5X +2 and g(x) = 2x - 3

x      f(x)

-3     3.5

-2     3

-1     2.5

0     2

1      1.5

2     1

3     0.5

The second table is given below:-

x      g(x)

-3      

-2      

-1      

0    

1      

2      

3      

We will put the points and will find the value of functions:-

g(-3) = 2(-3) - 3 = -6 -3 = -9

g(-2) = 2 -(-2) -3 = -7

g(-1) = 2( -1) -3 = -3

g(0) = 2 - 0  - 3 = -3

g(1) = 2.1 - 3 = -1

g(2) = 2.2 -3 = 1

g(3) = 2.3 -3 = 3

Hence the second table will be

x      g(x)

-3      -9

-2      -7

-1       -5

0       -3

1        -1

2       1

3       3

The input value that produces the same output value in both charts is 2.

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Answer:

I think it is A (38.47)

Step-by-step explanation:

I believe this because I had a math qouiston like this and when I found this A was the only comen answer and when I clicked on my 38.47 I was right

Answer:

anybody agree that its c

Step-by-step explanation:

Answer:

Distance= 308 miles

Step-by-step explanation:

Giving the following information:

The distance between Dallas and San Antonio is on a map is 13.7 inches.

2 inches = 40 miles

To calculate the distance between Dallas and San Antonio, we will use the following formula:

Distance= (12/2)*40 + 1.7*40

Distance= 308 miles

12/2= first 12 inches

Answer:

[tex]x = \frac{ - 3b}{4} \: or \: b[/tex]

Step-by-step explanation:

[tex] \frac{1}{b + x} = \frac{3b}{2 {x}^{2} } - \frac{1}{x} [/tex]

[tex] = > \frac{1}{b + x} = \frac{3b - 2x}{2 {x}^{2} } [/tex]

[tex] = > 2 {x}^{2} = (b + x)(3b - 2x)[/tex]

[tex] = > 2 {x}^{2} = 3 {b}^{2} - 2bx + 3bx - 2 {x}^{2} [/tex]

[tex] = > 2 {b}^{2} = 3 {b}^{2} + bx - 2 {x}^{2} [/tex]

[tex] = > 3 {b}^{2} + bx - 4 {x}^{2} = 0[/tex]

[tex] = > 3 {b}^{2} + 4bx - 3bx - 4 {x}^{2} = 0[/tex]

[tex] = > b(3b + 4x) - x(3b + 4x) = 0[/tex]

[tex] = > (3b + 4x)(b - x) = 0[/tex]

Hence,

[tex]x = \frac{ - 3b}{4} \: or \: b[/tex]

Let, age of Carmen, Antoine and Katy is C, A and K.

And it is given that :

[tex]A - C = 5\dfrac{1}{4}[/tex]                …1)

[tex]K-C = 11 \dfrac{1}{2}[/tex]              ...2)

We need to find the difference in Antoine's age and Katy's age.

Subtracting equation 2) from 1), we get :

[tex]( A - C ) - ( K-C) =5\dfrac{1}{4} - 11\dfrac{1}{2}\\\\A - K = -6\dfrac{1}{4}\\\\K-A = 6\dfrac{1}{4}[/tex]

Therefore, Katy is [tex]6\dfrac{1}{4}[/tex] years older than Antoine.

Answer:

Mindy bought 7 pounds of candy.

Step-by-step explanation:

In order to solve this question we need to understand that based on the question itself there is 4 people (Mindy and the three friends) that each have [tex]1\frac{3}{4}[/tex] pound of candy. Now if you image in that way you see that in order to understand how much pounds of candy Mindy bought you will have to multiply [tex]1\frac{3}{4}[/tex] by 4 (because there is 4 people who got [tex]1\frac{3}{4}[/tex]  pounds of candy each).

So now we can find the answer by doing the following.....

[tex](1\frac{3}{4} )(4) = ( \frac{7}{4})(\frac{4}{1}) = \frac{(7)(4)}{(4)(1)} = \frac{28}{4} = 7[/tex]

Answer:500 miles

Step-by-step explanation:

50 !

hope this helps :)

Answer:

The integer representing the change is -43,200 gallons

Step-by-step explanation:

Here, we want to get the integer that represents the change in the number of gallons drained from the reservoir each week

Total number of hours per week would be 2 * 3 = 6 hours ;

6 hours is same as 6 * 60 = 3600 minutes

in a minute 12 gallons are drained

In 3600 minutes, the number of gallons drained would be;

3600 * 12 = 43,200 gallons are drained

hope it helps!!!!

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Answer:

The price of adult ticket is £38.

Step-by-step explanation:

First, you have to form equations in terms of a (adult) and c (child) :

[tex]2a + 4c = 152 - - - (1)[/tex]

[tex]a = 2c - - - (2)[/tex]

Next, you have to solve these equations by substitution :

[tex](2)→(1)[/tex]

[tex]2(2c) + 4c = 152[/tex]

[tex]8c = 152[/tex]

[tex]c = 152 \div 8[/tex]

[tex]c = 19[/tex]

[tex]substitute \: c = 19 \: into \: (2)[/tex]

[tex]a = 2 \times 19[/tex]

[tex]a = 38[/tex]

Answer:

Area of each piece = 104 [tex]cm^{2}[/tex]

Possible dimensions are 26 cm by 4 cm, 13 cm by 8 cm.

Step-by-step explanation:

Given that:

Dimensions of the rectangular board as:

Length of the board is 10 cm longer than its width.

Width of the board = 26 cm

Length of the board = 26 + 10 = 36 cm

The rectangular board is divided into 9 equal pieces.

To find:

Area of each piece and

the possible dimensions of each piece = ?

Solution:

First of all, let us calculate the area of bigger rectangular board.

Area of a rectangle is given by the following formula:

[tex]Area = Length \times Width[/tex]

Area = 26 [tex]\times[/tex] 36 [tex]cm^2[/tex]

Area of each smaller rectangle = [tex]\frac{26\times 36}{9} = 104\ cm^2[/tex]

To find the possible dimensions, we need to find the factors of 104.

104 = 26 [tex]\times[/tex] 4

104 = 13 [tex]\times[/tex]  8

Therefore, the Possible dimensions are 26 cm by 4 cm

and

13 cm by 8 cm.

Answer:

SA ≈ 1134 cm²

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

d = 19 cm

Step 2: Find SA

Answer:

1/8^4

Step-by-step explanation:

when divinding exponents with the same base, subtract the power. you get 8^-4. since the problem specifies no negative exponents you need to simplify. this give you 1/8^4

Answer:

0.030769

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

hope this helps

Step-by-step explanation:

Answer:

5x-19+[tex]\frac{69}{x+3}[/tex]

Step-by-step explanation: