Jeremy has a 7-foot board. He needs to cut pieces that are 4 inches long from the board. What is the greatest number of 4-inch pieces he can cut from the board?

21 pieces

Step-by-step explanation:

In this question, we need to know the highest number of 4-inch boards Jeremy can cut from a 7-foot board.

Firstly, we need to understand that we have a unit problem here that we need to solve. What I am saying is , we need to make sure we have the two lengths in same unit.

Hence, for the sake of convenience, we covert the length of the board to inches.

It should be recalled that 12 inches = 1 foot. Hence, the number of inches in 7 foot would be 12 * 7 = 84 inches

Back to the question, the number of 4 inches pieces that can be obtained from the board would be 84/4 = 21 pieces that are 4-inch in length

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

the answer is the third / last answer

step-by-step explanation: