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You are measuring temperature using a thermometer that gives degrees in Fahrenheit. You want to know the temperature in degrees Celsius. This formula converts temperatures from degrees Celsius to degrees Fahrenheit: [tex]F=\frac{9}{5}C + 32[/tex].

Rewrite this formula to convert Fahrenheit to Celsius. In your answer, use fractions instead of decimal numbers.

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

Sagot :

GinnyAnsweridn
To rewrite the formula [tex]\( F = \frac{9}{5}C + 32 \)[/tex] to convert Fahrenheit (F) to Celsius (C), we can follow these steps:

1. Start with the original formula:
[tex]\[ F = \frac{9}{5}C + 32 \][/tex]

2. Isolate the term with [tex]\( C \)[/tex] on one side:
To do this, first subtract 32 from both sides:
[tex]\[ F - 32 = \frac{9}{5}C \][/tex]

3. Remove the fraction by multiplying both sides of the equation by 5:
[tex]\[ 5(F - 32) = 9C \][/tex]

4. Solve for [tex]\( C \)[/tex] by dividing both sides by 9:
[tex]\[ C = \frac{5}{9}(F - 32) \][/tex]

So, the formula to convert Fahrenheit to Celsius is:
[tex]\[ C = \frac{5}{9}(F - 32) \][/tex]

This equation expresses the temperature in degrees Celsius ([tex]\(C\)[/tex]) as a function of the temperature in degrees Fahrenheit ([tex]\(F\)[/tex]).
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