A frame around a family portrait has a perimeter of 94 inches. The length of the frame is 7 inches less than twice the width. Find the length and width of the frame.

Step-by-step explanation:

Let l be the length and w be the width of the frame.

We have 2(l + w) = 94 and l = 2w - 7.

Therefore 2[(2w - 7) + w] = 94.

=> 3w - 7 = 47

=> 3w = 54

=> w = 18

l = 2(18) - 7 = 36 - 7 = 29

Hence the length of the frame is 29in and the width of the frame is 18in.

answer: she must produce at least 9,000 windows in order to make a profit of $48,000

explanation:

48,000 - 12,000 = 36,000

36,000/4 = 9,000

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.