A47-foot-long piece of pipe is to be cut into three pieces. the second piece is three times as long as the first piece, and the third piece is two feet more than five times the length of the first piece. what is the length of the longest piece?

a. 5 feet
b. 15 feet
c. 27 feet
d. 32 feet

C

Step-by-step explanation:

We need to write this in an algebraic form.

Let's name x the first piece of pipe. If the second piece is three times as long as the first piece, this would be represented as 3x.The third piece is two feet more than five times the first piece, this would be represented as 5x + 2Lastly, the three pieces sum up 47 foot.

Therefore, the equation we would have is:

Therefore, the first piece is 5 feet long.The second piece is 5(3) = 15 feet long.The third piece is 5(5) + 2 = 27 feet long.

Thus, the longest piece is 27 feet long.

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