5. Write a simplified expression for the width of the rectangle below. 2b Area = 2b^2 +12bc

Amanda wants to make a rectangular fenced area for her dogs. She wants the area to be 32 square feet with the length of the yard

navik [9.2K]

The fence is a 8x4 fence as they multiply up to 32 square feet and 8 is double 4. If you add 8+8+4+4 you will get 24. Then you multiply the perimeter (24) by 3 to get the final cost. This means that the final cost will be $72.00.

3 0

3 years ago

You notice a hot air balloon descending. The elevation h

ANEK [815]

Answer:

the domain is 0 x 45 and the range is 0 h 360. The slope is -8, so the change in the height of the ballon is -8 feet per second. The h-intercept is 360, so the height of the ballon when the first noticed it was 360 feet. The x-intercept is 45, so the time it took the hot air balloon to reach the ground was 45 seconds.

Step-by-step explanation:

8 0

3 years ago

12(5+2y)=4y-(6-9y) how to solve and check solution

stepladder [879]

Answer:

Step-by-step explanation:

12(5+2y)=4y-(6-9y)

Distribute

12*5 +12*2y = 4y - 6 +9y

60 +24y = 4y - 6 +9y

Combine like terms

60+24y =13y -6

Subtract 13 y from each side

60 +24y-13y=13y-13y -6

60+11y = -6

Subtract 60 from each side

60+11y-60 =-6 -60

11y = -66

Divide by 11

11y/11 = -66/11

y =-6

Check

12(5+2(-6))=4(-6)-(6-9(-6) )

12 (5-12) = -24 - (6+54)

12(-7) = -24 -60

-84 = -84

True so the solution is correct

3 0

4 years ago

Read 2 more answers

A movable section of stage has the shape of an isosceles right triangle. You need to apply 2 coats of paint to all but the botto

Artemon [7]

Answer:

You need to buy 13 quarts of paint

Step-by-step explanation:

The correct question is

A movable section of stage has the shape of a right triangle. You need to apply 2 coats of paint (Assume you will not paint the bottom of the ramp). The paint covers approximately 80 square feet per quart. How many quarts of paint do you need to buy?

The picture of the question in the attached figure

step 1

we know that

The figure show a triangular prism

The surface area of the triangular prism is given by

$SA=2B+PL-(14)(19.5)$ ----> (the area of the bottom is not included)

where

B is the area of the triangular face

P is the perimeter of the triangular face

L is the length of the prism

we have

$B=\frac{1}{2}(14)(6)=42\ ft^2$

$P=14+6+15.2=35.2\ m$

$L=19.5\ ft$

substitute

$SA=2(42)+35.2(19.5)-(14)(19.5)=497.4\ ft^2$

step 2

You need to apply 2 coats of paint

so

Multiply the surface area by 2

$497.4(2)=994.8\ ft^2$

step 3

Divide the total square feet by 80 square feet per quart

so

$994.8/80=12.4\ quarts$

Round up

You need to buy 13 quarts of paint

6 0

3 years ago

Solve 8x − 2(x + 1) = 7x + 8. (5 points) 6 −6 −10 10

sesenic [268]

First, simplify the equation.
8x - 2x - 2 = 7x + 8
Now subtract 8 on both sides to get rid of the one on the right side.
8x - 2x - 10 = 7x
Solve the left side.
6x - 10 = 7x
Subtract 6x from both sides.
-20 = x
Therefore, x = -20.

7 0

3 years ago