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Chapter 9: Problem 39

In Exercises 39-50, convert the given Fahrenheit temperature to its equivalent temperature on the Celsius scale. Where appropriate, round to the nearest tenth of a degree. \(68^{\circ} \mathrm{F}\)

Short Answer

Expert verified
The equivalent temperature of \(68^{\circ} \mathrm{F}\) on the Celsius scale is \(20^{\circ} \mathrm{C}\).

Step by step solution

01

Write down the Temperature Conversion Formula

The formula to convert Fahrenheit to Celsius is \(C = (5/9)(F - 32)\), where \(C\) is the equivalent temperature in Celsius, and \(F\) stands for the temperature in Fahrenheit.
02

Substitute Given Temperature to Formula

Substitute the given Fahrenheit temperature which is \(68^{\circ} \mathrm{F}\) into the formula, resulting to \(C = (5/9)(68 - 32)\).
03

Perform the Operation in Brackets

Perform the operation in the brackets, \(68 - 32\) which is equal to 36. The new equation will be \(C = (5/9)(36)\).
04

Perform Multiplication

Multiply \(5/9\) by 36. This results in the temperature in Celsius, which approximately equals to 20.

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