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12 July, 00:58

A 1313 -foot piece of string is cut into two pieces so that the longer piece is 44 feetfeet longer than twice the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces

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  1. 12 July, 04:19
    0
    423

    Step-by-step explanation:

    Start by setting up a formula.

    x = the shorter piece

    total = 1313

    longer piece = (x*2) + 44

    x + (x*2) + 44 = 1313

    Simplify

    3x + 44 = 1313

    Now we must solve for x.

    Whatever you do on the left side of the equal sign must also be done on the right.

    The goal is to get x by itself on the left side.

    Do the easiest thing first, which is usually addition or subtraction. In this case, subtract 44 from both sides.

    3x + 44 - 44 = 1313 - 44

    3x = 1269

    Now the only way to cancel out the 3 on the left is to divide by 3. Since 3/3 = 1. Remember this must be done on both sides to keep things equal.

    3x/3 = 1269/3

    x=423

    The End
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