# Variable A varies directly with P and Q. If A=42 when P=8 and Q=9, how do you find A when P=44 and Q=7?

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To find A when P=44 and Q=7, use the direct variation equation A = k * P * Q. First, find the value of k using the given values of A, P, and Q: 42 = k * 8 * 9. Solve for k: k = 42 / (8 * 9) = 42 / 72 = 7/12. Then, plug in the new values of P and Q into the equation: A = (7/12) * 44 * 7 = 7 * 7 = 49. Therefore, when P=44 and Q=7, A=49.

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