Problem

While on a tour in Greece, Tatyana saw that the temperature was $35^{\circ}$ Celsius. Solve for $F$ in the formula $C=\frac{5}{9}(F-32)$ to find the Fahrenheit temperature.
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Answer

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Answer

\(\boxed{F=95^{\circ}}\) is the final answer.

Steps

Step 1 :Given the temperature in Celsius, \(C=35^{\circ}\), and the formula used to convert from Celsius to Fahrenheit, \(C=\frac{5}{9}(F-32)\).

Step 2 :We need to solve this formula for \(F\).

Step 3 :First, substitute \(C\) with \(35\) in the equation to get \(35=\frac{5}{9}(F-32)\).

Step 4 :Then, multiply both sides by \(\frac{9}{5}\) to isolate \(F-32\).

Step 5 :This gives us \(63=F-32\).

Step 6 :Next, add 32 to both sides of the equation to get \(F=63+32\).

Step 7 :So, the temperature in Fahrenheit is \(F=95^{\circ}\).

Step 8 :\(\boxed{F=95^{\circ}}\) is the final answer.

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