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The formula that converts Celsius into Fahrenheit is [tex]F=\frac{9}{5}C+32[/tex]. To rearrange this formula to solve for [tex]C[/tex], you could do which of the following?

A. Subtract 32 from both sides, then multiply by 5 and divide by 9. This results in [tex]C=\frac{5(F-32)}{9}[/tex].

B. Multiply the [tex]F[/tex] by 5 and divide it by 9, then subtract 32 from both sides. This results in [tex]C=\frac{5}{9}F-32[/tex].

C. Multiply all the terms by 5, then subtract 160 from both sides. The last step is to divide by 9. This results in [tex]C=\frac{5F-160}{9}[/tex].

Answer :

We start with the formula for converting Celsius to Fahrenheit:

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

Our goal is to solve this equation for [tex]$C$[/tex] by isolating it on one side.

1. Subtract 32 from Both Sides:
To remove the 32, subtract 32 from both sides of the equation:

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

2. Multiply by 5 and Divide by 9:
The equation now has [tex]$\frac{9}{5}C$[/tex] on the right. To isolate [tex]$C$[/tex], multiply both sides of the equation by 5 to eliminate the denominator:

[tex]$$
5(F-32) = 9C.
$$[/tex]

Finally, divide both sides by 9 to solve for [tex]$C$[/tex]:

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

This is the correctly rearranged formula for [tex]$C$[/tex]. Therefore, the proper method is:

"Subtract 32 from both sides, then multiply by 5 and divide by 9. This results in [tex]$C=\frac{5(F-32)}{9}$[/tex]."

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