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The equation below shows the relation between the temperature in degrees Celsius, C, and degrees Fahrenheit, F: F = 9/5C + 32

Which of the following formulas correctly solves for C?

A. C = 5F - 32/9

B. C = 5F/9 - 32

C. C = 9/5 (F - 32)

D. C = 5/9 (F - 32)

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Answer:

D

Step-by-step explanation:

Lets solve for C:

We start with

[tex]F=\frac{9}{5}C+32[/tex]

Lets subtract 32 from both sides:

[tex]F-32=\frac{9}{5}C[/tex]

Then to isolate C we multiply both sides by c's reciprocal, which is 5/9.

[tex]\frac{5}{9}(F-32)=C[/tex]

The correct answer is D

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