1.Mrs. Thomas is designing a rectangular pool for her backyard. The width of the pool is 71/2 feet shorter than twice its length. The perimeter of the pool is 75 feet. What is the length of the pool?

2.Callie’s dad is installing a fence in the rectangular backyard. He purchased 110 feet of fencing and plans to use all the fencing. The width of the fenced area will be 5 feet less than twice the length of the fenced area. What is the length of the fenced area?

3.A rectangular television’s length is 3 inches more than twice its width. The perimeter of the television is 144 inches. What is the width of the television?

For the first one , the answer is 15 , the equation is 75=2f+2(2f-7.5)

For the Callie question , the answer is 20 , the equation is 110=2f+2(2f-5)

The third answer is 23 and the equation is 144=2(2w+3)+2w

Step-by-step explanation:

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.