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11 May, 10:25

If y varies directly as x, and y is 180 when x is n and y is n when x is 5, what is the value of n?

18

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  1. 11 May, 10:38
    0
    30

    Step-by-step explanation:

    y varies directly with x, so:

    y = kx

    When x = n, y = 180.

    180 = kn

    When x = 5, y = n.

    n = 5k

    Solve for k in the first equation:

    k = 180 / n

    Substitute into the second equation:

    n = 5 (180 / n)

    n = 900 / n

    n² = 900

    n = 30
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