When substituting C = − 5 into the formula C = 9 5 ( F − 32 ) , we find that F = 23 . Thus, the correct answer is option C) 23.
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Substitute C = − 5 into the equation C = 9 5 ( F − 32 ) .
Multiply both sides by 5 9 to get − 9 = F − 32 .
Add 32 to both sides to isolate F .
The final answer is 23 .
Explanation
Understanding the problem We are given the formula C = 9 5 ( F − 32 ) and C = − 5 . We need to find the value of F .
Substitution Substitute C = − 5 into the equation: − 5 = 9 5 ( F − 32 )
Isolating F-32 Multiply both sides of the equation by 5 9 to isolate ( F − 32 ) : 5 9 × − 5 = 5 9 × 9 5 ( F − 32 ) − 9 = F − 32
Solving for F Add 32 to both sides of the equation to solve for F : − 9 + 32 = F − 32 + 32 F = 23
Final Answer Therefore, when C = − 5 , F = 23 .
Examples
This conversion formula is used in many real-world applications, such as weather forecasting, cooking, and scientific research. For example, if you are traveling to a country that uses Celsius and the weather forecast is -5 degrees Celsius, you can use this formula to convert it to Fahrenheit (23 degrees) to better understand how cold it is.