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olga2289 [7]
3 years ago
15

A 47-inch piece of steel is cut into three pieces so that the second piece is twice as

Mathematics
1 answer:
Aneli [31]3 years ago
4 0

Answer:

<h2>                first piece:    5 in</h2><h2>           second piece:   10 in</h2><h2>               third piece:   32 in  </h2>

Step-by-step explanation:

x   - the length of the <u>first piec</u>e

2x    - twice the length of the first piece (the length of the <u>second piece</u>)

6x   - six times the  length of the first piece

two inches more:

6x+2    - the length of the <u>third piec</u>e

first + second + third = 47 in  {total length of the pieces of steel}

x + 2x + 6x + 2 = 47

9x + 2 = 47

9x = 45

x = 45:9

x = 5 in

first piece:   5 in

second piece: 2×5 = 10 in

third piece:   6×5 + 2 = 30 + 2 = 32 in

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