Jeremy has two 7 foot long boards. he needs to cut pieces that are 15 inches long from the boards. what is the greatest number of 15 inch pieces he can cut from the two boards ?

The greatest number of 15 inch pieces he can get is 5

Step-by-step explanation:

Given

Length of boards = 7 foot.

Size of pieces needed = 15 inches

We want to calculate the greatest number of 15 inches pieces he can get...

First, the length of the board has to be converted from foot to inches

If 1 inch = 12 foot, we can get the equivalent of 7 foot by multiplying both sides by 7.

So, 1 foot = 12 inches becomes

7 * 1 foot = 7 * 12 inches

7 foot = 84 inches

To calculate the greatest number of 15 inch pieces he can get, we have to divide the length of the board by 15.

Number of pieces = 7 foot / 15 inches

Number of pieces = 84 inches / 15 inches

Number of pieces = 5.6

By rounding down 5.6 , we get the greatest number of 15 inch pieces he can get.

Hence, the greatest number of 15 inch pieces he can get is 5

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

(-1,-0.5)

step-by-step explanation: