Q
QuestionMathematics

Convert 64°F to °C (to the nearest tenth) using one of the following formulas: °C= 5 / 9 (°F−32) a. 17.8° b. 54.2° c. 72.0° d. 161.6°
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Answer

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Step 1:
I'll solve this temperature conversion problem step by step, following the specified LaTeX formatting guidelines:

Step 2:
: Identify the given temperature in Fahrenheit

- Temperature = 64°F

Step 3:
: Recall the temperature conversion formula

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

Step 4:
: Substitute the known value into the formula

C = \frac{5}{9}(64 - 32)

Step 5:
: Solve the calculation inside the parentheses first

C = \frac{5}{9}(32)

Step 6:
: Multiply

C = \frac{5 \times 32}{9}

Step 7:
: Calculate the result

C = \frac{160}{9}
C = 17.8

Step 8:
: Round to the nearest tenth

The result is already rounded to the nearest tenth: 17.8°C

Final Answer

The correct answer is: a. 17.8°