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nydimaria [60]
3 years ago
9

A 7-ft. board is cut into 2 pieces so that one piece is 3 feet longer than 3 times the shorter piece. if the shorter piece is x

feet long, find the lengths of both pieces.
Mathematics
1 answer:
elena55 [62]3 years ago
3 0

Longer piece: 3x + 3

Shorter piece: x

(x) + (3x + 3) = 7

4x + 3 = 7

4x = 4

x = 1

Longer piece: 3x + 3  = 3(1) + 3   = 6

Answer: 1 ft and 6 ft

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Archy [21]

Answer:

The answer to your question is z = 87 cm

Step-by-step explanation:

Data

Surface area of the rectangular prism = 8,462 cm²

Find z

Process

1.- Write and equation that help to solve the problem

Surface area = 2(13z) + 2(13)(31) + 2(31z)

-Simplify

           8462 = 26z + 806 + 62z

           8462 - 806 = 26z + 62z

                     7656 = 88z

                          z = 7656/88

-Result

                          z = 87 cm

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