Math please help 20 points plus brainly if you can answer each question.


The perimeter of a rectangle is 40 cm. The length is 14 cm.
Let x = width of the rectangle.

Ravi says he can find the width using the equation 2(x + 14) = 40.
Fran says she can find the width using the equation 2x + 28 = 40.

Answer the questions to solve the equations and to compare the steps and solutions.

1. Which of these is the most helpful first step for solving Ravi's equation, 2(x + 14) = 40?

Circle the best answer.

Add 14 to both sides
Subtract 14 from both sides
Divide both sides by 2
Multiply both sides by 2














2. What would your next step be?


Write your answer in the space below.















3. Solve Ravi's equation, 2(x + 14) = 40, to find the width of the rectangle. Show your work.


Write your answer in the space below.















4. Which of these is the most helpful first step for solving Fran's equation, 2x + 28 = 40?

Circle the best answer.

Multiply both sides by 2
Subtract 28 from both sides
Divide both sides by 2
Add 28 to both sides














5. What would your next step be?


Write your answer in the space below.















6. Solve Fran's equation, 2x + 28 = 40, to find the width of the rectangle. Show your work.


Write your answer in the space below.















7. The two equations have different solution steps. Do they have the same solution? Use the distributive property to show why this answer makes sense.


Write your answer in the space below.

Answer:

D

Step-by-step explanation:

It isn't linear

Answer:

D)

Step-by-step explanation:

Linear graphs are straight they can be positive or negative but they do not have bending points in them.

I added a picture to help you

Answer:

djjfjhcuj7u

Step-by-step explanation:

Answer:

You count something

Step-by-step explanation:

If you imagine 9 slots that are empty and you fill 3 of them then there is 6 empty slots so -6

Answer:

43.44 for the first one

16 cats from the second one

496 for the third one

Step-by-step explanation:

Answer:

a. 43.44

b. 16

c. 496

Step-by-step explanation:

a. (14.48) x 3= 43.44

b. 25% of 64= 16

c. 31 x 16= 496

Answer:

101 pages

Step-by-step explanation:

first, you need to add the number of pages read on monday and the number of pages read on tuesday, and get 324. then, you subtract the number of pages read from the amount of pages there are, and get 101.

Step-by-step explanation:

2500×5%=125

125×2=250

2500+250=2750$

Answer:

2756.25 This is what he will pay going into the third year.

Step-by-step explanation:

This is not as simple as it looks. Is the base number always 2500 no matter how many years go by?

Or do you compound the rent after each Year.

Simple Interest

Rent after the first year

Rent after first year = 2500 + 5%*2500

Rent after first year = 2500 + 125

Rent after first year = 2625

The rent after the second year will be the same.

Compound interest.

Rent after first year is 2625

At the end of the second year it will be 2625 + 2625*5%

Second year payment = 2625 + 2625*5/100

Second year payment = 2625 + 131.25

Second year payment = 2756.25

Answer:

48.7

Step-by-step explanation:

This is a right triangle, so let's use Pythagorean Thearum to solve.

a2+b2=c2 substitute the numbers in. [tex]35^2+b^2=60^2\\[/tex] = 1,225+b^2=3,600

subtract 1225 from 3600. 3600-1225=2375. Now we have to find the square root. [tex]\sqrt 2375[/tex] equals about 48.7

to double-check: 1225 + 2375 = 3600 this equation holds true. so 48.7 is the answer.

Answer:

50h + 3 = 165P

Step-by-step explanation:

Answer:

[tex]Y = 7\frac{1}{2}[/tex]

Step-by-step explanation:

Missing Table:

Yellow Paint ----------- Red Paint

5 ---------------------------------6

Required

Determine the quarts of yellow paints when 9 quarts of red are used

Represent Yellow with Y and Red with R.

When Y = 5 and R = 6, we have the following:

[tex]Y : R = 5 : 6[/tex]

Represent as a fraction

[tex]\frac{Y}{R} = \frac{5}{6}[/tex]

When R = 9 and Y is unknown, we have the following:

and

[tex]Y : R = Y : 9[/tex]

Represent as a fraction

[tex]\frac{Y}{R} = \frac{Y}{9}[/tex]

Since the given parameters re[resent a direct variation between both paints, we can equate both fractions to solve for Y

[tex]\frac{5}{6} = \frac{Y}{9}[/tex]

Multiply through by 9

[tex]9 * \frac{5}{6} = \frac{Y}{9} * 9[/tex]

[tex]9 * \frac{5}{6} = Y[/tex]

[tex]3 * \frac{5}{2} = Y[/tex]

[tex]\frac{15}{2} = Y[/tex]

[tex]7\frac{1}{2} = Y[/tex]

[tex]Y = 7\frac{1}{2}[/tex]

Hence, [tex]7\frac{1}{2}[/tex] quarts of the yellow paints is required

Answer:

-3.8

Step-by-step explanation:

The temperature when Daria goes to bed was -3.8° F.

To subtract means to take away from a group or a number of things. When we subtract, the number of things in the group reduces or becomes less.

Given that, When Daria gets to school, the temperature is 5.7 °F. The temperature changes by -9.5 °F by the time she goes to bed.

5.7 - 9.8 = -3.8

Hence, The temperature when Daria goes to bed was -3.8° F.

For more references on subtraction, click;

https://brainly.com/question/2346316

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Answer:

he must work 8 hours

Step-by-step explanation:

soln:

given,

$8=1 hour

or,$1=1/8 hour

so,

$64=64*1/8 hour

•°•$64=8 hours

Answer:

You end up getting the same equation!

Step-by-step explanation:

Answer:

is dependent

Step-by-step explanation:

right on edge 2020

Answer:

answer to pt.1 and pt.2 of this question in the photo.

Step-by-step explanation:

Answer:

For the first 30 minutes, we will have a line with a given steepness, this will represent the 30 minutes riding at a fast pace.

Then he stops for 20 minutes, we will represent this with a constant line.

Then he again moves for another 30 minutes, but with a slower pace than in the first 30 minutes, then this line will be less steep than the first line.

A sketch of this situation can be seen below.

Answer:

31

Step-by-step explanation:

527 divided by 17

Answer:

Midsegment=1.7

Step-by-step explanation:

Distance formula

d = √(x2 - x1)^2 + (y2-y1)^2}

d=√(4-(-2)^2+(3-4)^2

simplify and solve

we find d=1

Now side lenght

d=√((-2-(-2))^2+(4-(-2))

d=2.44949

length of midsegment=1/2 x (2.44949+1)

1.724745

simplifies to

1.7

Answer:

Midsegment is 1.7

Step-by-step explanation:

Answer:

[tex]y = 30x +50[/tex] --- Sam

[tex]y = 20x +80[/tex] --- Tim

Step-by-step explanation:

Given

Sam                         Tim

х  --- f(x) ---------------  g(x)

1  --- 80   --------------- 100

2  --- 110  --------------- 120

3  --- 140 --------------- 140

4 --- 170 -------------- 160

Required

Determine the y value

y value implies the equation of the table

Calculating the equation of Sam

First, we need to take any corresponding values of x and y

[tex](x_1,y_1) = (1,80)[/tex]

[tex](x_2,y_2) = (4,170)[/tex]

Next, we calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{170 - 80}{4 - 1}[/tex]

[tex]m = \frac{90}{3}[/tex]

[tex]m = 30[/tex]

Next, we calculate the line equation using:

[tex]y - y_1=m(x-x_1)[/tex]

[tex]y - 80 = 30(x - 1)[/tex]

[tex]y - 80 = 30x - 30[/tex]

Make y the subject

[tex]y = 30x - 30 + 80[/tex]

[tex]y = 30x +50[/tex]

Calculating the equation of Tim

First, we need to take any corresponding values of x and y

[tex](x_1,y_1) = (1,100)[/tex]

[tex](x_2,y_2) = (4,160)[/tex]

Next, we calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{160 - 100}{4 - 1}[/tex]

[tex]m = \frac{60}{3}[/tex]

[tex]m = 20[/tex]

Next, we calculate the line equation using:

[tex]y - y_1=m(x-x_1)[/tex]

[tex]y - 100 = 20(x - 1)[/tex]

[tex]y - 100 = 20x - 20[/tex]

Make y the subject

[tex]y = 20x - 20+100[/tex]

[tex]y = 20x +80[/tex]

Answer:

Step-by-step explanation:

the ration of boys to girls will be:

36/12=3/1

choice b

another way

36 boys.........................12 girls  divide by 6

6 boys.............................2 girls   divide by 2

3 boys.............................1 girl

Answer:

a i think

Step-by-step explanation:

Answer:

Y = -5 + 5

Step-by-step explanation:

You can check the y intercept and it's a negative 5 slope

Answer:

3

Step-by-step explanation:

Answer:

3+4/3x

Step-by-step explanation:

Answer:

4 + 4 + 4 = 12

Step-by-step explanation:

Perimeter (P) = a + b + c (a, b, c being all the sides, which are all equal to 4)

4 -2   5

5 -1    8

this is what it showed in brackets as the correct answer.

The matrix that represents the system of equations 4x-2y=5 and 5x- y=8  is [tex]\left[\begin{array}{cc}4&-2\\5&1\end{array}\right] \left[\begin{array}{c}5&8\end{array}\right][/tex]

The system of equations is given as:

4x-2y=5

5x- y=8

Remove the variables

x     y  

4    -2    5

5    -1    8

Represent as a matrix

[tex]\left[\begin{array}{cc}4&-2\\5&1\end{array}\right] \left[\begin{array}{c}5&8\end{array}\right][/tex]

Read more about matrix at:

https://brainly.com/question/1821869

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Answer:126

Step-by-step explanation:

Answer:

Well, I might answer some questions, but maybe not since its collage work ( guessing from the name of it) and i'm only in 6th grade, but I HAVE answered collage questions before on here and got them correct.. (The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest.

- •Trix•

( Yes I know my - •Trix• thingy is not my user but its what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)

Answer:

Grade?

Step-by-step explanation: