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P is inversely proportional to Q.
When P=100, Q=32
Calculate the value of Q when P is twice as big as Q.
Show your working please

Sagot :

[tex]If\ P\ is\ inversely\ proportional\ to\ Q\ then:\\\\P\times Q=constans\\\\P=100;\ Q=32\\\\100\times32=3200\\\\P=2Q\\\\therefore\\\\P\times Q=2Q\times Q=2Q^2\\\\2Q^2=3200\ \ \ \ |divide\ both\ sides\ by\ 2\\Q^2=1600\ \ \ \ \ |sqare\ rot\ both\ sides\\Q=\sqrt{1600}\\\boxed{Q=40}[/tex]
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