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The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:


F = 9 over 5C + 32


Which of the following formulas correctly solves for C?


C = 5F − 32 over 9

C = 5 F over 9 − 32

C = 9 over 5(F − 32)

C = 5 over 9(F − 32)

Verified Answer :

Jieep

The correct answer is ) C = 5 over 9(F − 32)

Answer:

The correct option is 4.

Step-by-step explanation:

The relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F is defined by the given equation.

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

We need to find the formula for C.

Subtract 32 from both the sides.

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

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

Multiply both sides by 5.

\(5(F-32)=9C\)

Divide both sides by 9.

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

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

The formula for C is \(C=\frac{5}{9}(F-32)\).

Therefore the correct option is 4.

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