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14 February, 07:17

Matt plans to put concrete on a rectangular portion on his driveway. The portion is 8 feet long and 4 inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete Matts needs is $58.07. Which of the following is closest to the width of the portion of the driveway on which Matt plants to put concrete?

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  1. 14 February, 10:18
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    First the cost of $98 / yd³ by the conversion factor that

    1 yd³ = 27 ft³.

    ($98 / yd³) (1 yd³ / 27 ft³) = $ 3 17/27/ft³

    Let x be the width, the volume of the rectangular portion of the driveway is,

    V = (8 ft) (1/3 ft) x = 8x/3 ft³

    Using the given total cost of the protion,

    C = $58.07 = (8x/3 ft³) ($ 3 17/27/ft³)

    x = 5.99957 ft

    the answer is 6 feet. (rounded)
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