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If n is inversely proportional to m and n=29 when m=9, express n in terms of m.

Question

If n is inversely proportional to m and n=29 when m=9, express n in terms of m.

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Solution

If n is inversely proportional to m, we can express this relationship as n = k/m, where k is the constant of variation.

We know that n = 29 when m = 9. We can substitute these values into the equation to find the constant of variation:

29 = k/9 k = 29 * 9 k = 261

So, the equation that expresses n in terms of m is n = 261/m.

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