A project that you are working on requires 5 boards that are 6’ long, 4 boards that are 3’3” long, and 2 boards that are 18” long. Find the total length of the lumber required AND write your answer in mixed units (feet and inches), if necessary. Show ALL work

Step-by-step explanation

There are 12 inches in a foot.

3'3" in inches is therefore 39 inches.

39 * 4 = 156 inches in total.

6 feet in inches = 72 inches.

72 * 5 = 360 inches

There are 2 boards which are 18 inches long. In total they will be 36 inches long.

360 + 156 + 36 = 552 inches.

Which equals 46 feet.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.