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If y varies inversely as x, and y = 2/5 when x = 2, find y when x = 1.?

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  1. If y varies inversely as x, then y = k / x ...(1)

    where k is constant.

    Putting x = 2 and y = 2 / 5:

    2 / 5 = k / 2

    Multiplying by 2:

    k = 4 / 5

    Now put x = 1 in (1), and substitute the value of k:

    y = (4 / 5) * 1

    = 4 / 5.

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