The volume of a box (v) varies directly with its length (l). if the box has a volume of 90 cubic inches and a length of 15 inches, what is the constant of proportionality for the box?

The constant of proportionality for the box is 6.

Step-by-step explanation:

  Given : The volume of a box (V) varies directly with its length (l). If the box has a volume of 90 cubic inches and a length of 15 inches.

We have to find the constant of proportionality for the box.

Since, The volume of a box (V) varies directly with its length (l)

Mathematically written as  V ∝ l

For removing proportionality, we multiply a proportionality constant k,

Thus, the equation V ∝ l

Becomes V = k l

Also given volume of 90 cubic inches and a length of 15 inches.

Substitute, V = 90 , and l = 15

We have,

90 = k (15)

Divide both side by 15, we get,

k = 6

Thus,  the constant of proportionality for the box is 6.

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9

answer: 12,000

step-by-step explanation: first you ar e supposed to add. then multiply then subtract