Problem

The equation $F=\frac{9}{5} C+32$ gives the Fahrenheit temperature $F$ corresponding to the Celsius temperature C. Find the Fahrenheit temperature equivalent to $-10^{\circ} \mathrm{C}$.

Answer

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Answer

Dividing both sides by 9 gives \(F = \boxed{-23.33}\).

Steps

Step 1 :We have \(-10 = \frac95F + 32\). Subtracting 32 from both sides gives \(-42 = \frac95F\).

Step 2 :Multiplying both sides by 5 to get rid of the fraction gives \(-210 = 9F\).

Step 3 :Dividing both sides by 9 gives \(F = \boxed{-23.33}\).

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