Questions: The high temperature in Jackson, WY, on July 13 was 80°F. Use the formula, C=5/9(F-32), where C is Celsius degrees and F is Fahrenheit degrees, to convert 80°F to Celsius degrees. Round to the nearest tenth of a degree. 86.4°C 26.7°C 62.2°C 12.4°C

The high temperature in Jackson, WY, on July 13 was 80°F. Use the formula, C=5/9(F-32), where C is Celsius degrees and F is Fahrenheit degrees, to convert 80°F to Celsius degrees. Round to the nearest tenth of a degree. 86.4°C 26.7°C 62.2°C 12.4°C
Transcript text: The high temperature in Jackson, WY, on July 13 was $80^{\circ} \mathrm{F}$. Use the formula, $C=\frac{5}{9}(F-32)$, where $C$ is Celsius degrees and $F$ is Fahrenheit degrees, to convert $80^{\circ} \mathrm{F}$ to Celsius degrees. Round to the nearest tenth of a degree. $86.4^{\circ} \mathrm{C}$ $26.7^{\circ} \mathrm{C}$ $62.2^{\circ} \mathrm{C}$ $12.4^{\circ} \mathrm{C}$
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Solution

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Solution Steps

Step 1: Convert Fahrenheit to Celsius

To convert the temperature from Fahrenheit to Celsius, we use the formula:

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

Substituting \( F = 80 \):

\[ C = \frac{5}{9}(80 - 32) \]

Step 2: Simplify the Expression

Calculating \( 80 - 32 \):

\[ 80 - 32 = 48 \]

Now substituting back into the formula:

\[ C = \frac{5}{9}(48) \]

Step 3: Calculate Celsius Temperature

Now, we calculate:

\[ C = \frac{5 \times 48}{9} = \frac{240}{9} \approx 26.6667 \]

Step 4: Round to the Nearest Tenth

Rounding \( 26.6667 \) to the nearest tenth gives:

\[ C \approx 26.7 \]

Final Answer

The temperature in Celsius is \\(\boxed{26.7}\\).

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