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Algebra

A coaxial cable 10 feet long is cut into two pieces such that the length of one piece is two-thirds of the length of the other piece. Find the length of the shorter piece of cable.

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  1. x + (2/3)x = 10

    (5/3)x = 10

    x = 10 / (5/3)

    x = 10 * (3/5)

    x = 30/5 = 6

    The longer piece is 6 feet long.

    Shorter piece = (2/3) * 6

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    Ms. Sue

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