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28 April, 01:14

X varies directly with Y and Z. x = 40 when y = 10 and Z = 20. find X when y = 30 and Z = 40.

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  1. 28 April, 01:44
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    x = 60

    Step-by-step explanation:

    Direct variation is of the form

    y = kxz

    We know x = 40 and y = 10 and z = 20

    10 = k * 40 * 20

    10 = k * 800

    Divide each side by 800

    10/800 = k

    1/80 = k

    The equation becomes

    y = 1/80 xz

    Let y = 30 and z = 40 and find x

    30 = 1/80 * x * 40

    30 = 40/80 x

    30 = 1/2x

    Multiply each side by 2

    2 * 30 = 2 * 1/2 x

    60 = x
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