Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 9 - Measurement - 9.3 Measuring Weight and Temperature - Exercise Set 9.3: 52

Answer

$C = \frac{5}{9}~(F-32)$

Work Step by Step

The formula used to convert from Celsius to Fahrenheit is as follows: $F = \frac{9}{5}C+32$ We can solve this formula for C to derive the formula used to convert from Fahrenheit to Celsius. $F = \frac{9}{5}C+32$ $F-32 = \frac{9}{5}C$ $5~(F-32) = 9~C$ $\frac{5}{9}~(F-32)=C$ $C = \frac{5}{9}~(F-32)$
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