College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.1: 18

Answer

30 degrees Celsius

Work Step by Step

Use the formula $$C=\frac{5}{9}(F-32)$$ to convert 86 degrees Fahrenheit temperature to its equivalent temperature on the Celsius scale. Start by substituting 86 for F in the equation $$C=\frac{5}{9}(86-32)$$ complete grouped operations first $$C=\frac{5}{9}(54)$$ since the $\frac{5}{9}$ is a fraction, turn the 54 into a fraction (by putting it over 1) so that you can multiply the two fractions: $$C=\frac{5}{9}\times\frac{54}{1}$$ cross reduce the 9 with the 54 (both are divisible by 9) $$C=\frac{5}{1}\times\frac{6}{1}$$ $$C=\frac{30}{1}$$ $$C=30$$
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