# 6 Harden is building shelves for his comic book collection. He has a piece of wood that is 3.5 feet long. After cutting four equal

Question

6 Harden is building shelves for his comic book collection. He has a piece of wood that is 3.5 feet long. After cutting four equal pieces of wood from it, he has 0.6 feet of wood left over.

Part A: Write an equation that could be used to determine the length of each of the four pieces of wood he cut. (1 point)

Part B: Explain how you know the equation from Part A is correct. (1 point)

Part C: Solve the equation from Part A. Show every step of your work. (2 points)

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1 month 2022-12-31T00:15:10+00:00 1 Answer 0 views 0

Part A: 4x + 0.6 = 3.5
Part B: Harden started with a board that was 3.5 feet long. He cut four equal sized sections and had 0.6 feet left over. This means the board of 3.5 feet was divided into 4 equal sections with 0.6 feet left over. The equation to explain this would be: the four equal sized section + remaining length = total length of 3.5 feet.
Part C: x = 0.725 feet
Step-by-step explanation:
Part A: Write an equation that could be used to determine the length of each of the four pieces of wood he cut.
There were 4 equal sections, let each of these sections be known as x. There was 0.6 feet of wood remaining.
We know the board was 3.5 feet long before cutting.
This means the length of the wood was equal to:
4x + 0.6 = 3.5
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Part B: Explain how you know the equation from Part A is correct.
Harden started with a board that was 3.5 feet long. He cut four equal sized sections and had 0.6 feet left over. This means the board of 3.5 feet was divided into 4 equal sections with 0.6 feet left over. The equation to explain this would be: the four equal sized section + remaining length = total length of 3.5 feet.
______________________
Part C: Solve the equation from Part A. Show every step of your work.
Take the equation from part A and solve.
4x + 0.6 = 3.5
subtract 0.6 from both sides:
4x + 0.6 – 0.6 = 3.5 – 0.6
now 4x = 2.9
divide both sides by 4:
4x/4 = 2.9/4
x = 2.9/4
In decimal form: x = 0.725 feet