Answer
$\frac{1}{6}$
Work Step by Step
(x and y are in an inverse variation if xy=k)
$\frac{1}{3}\times\frac{1}{4}=\frac{1}{12}$
so
$x\times\frac{1}{2}=\frac{1}{12}$
$\frac{1}{2}x=\frac{1}{12}$
(Multiply each side by 2)
$x=\frac{1}{6}$
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281140
ISBN 13:
978-0-13328-114-9
Chapter 11 - Rational Expressions and Functions - 11-6 Inverse Variation - Practice and Problem-Solving Exercises - Page 703: 36
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