Question
The formula \( c=5(f-32) \div 9 \) gives the Celsius temperature in \( c \) degrees for a Fahrenheit temperature of \( f \) degrees. What is the Celsius temperature for a Fahrenheit temperature of 122 degrees?
Ask by Moreno Ryan. in the United States
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The Celsius temperature for 122 degrees Fahrenheit is 50 degrees.
Solution
1. Substitute \( f = 122 \) into the formula:
\[
c = 5(f - 32) \div 9
\]
becomes
\[
c = 5(122 - 32) \div 9.
\]
2. Calculate the value inside the parentheses:
\[
122 - 32 = 90.
\]
3. Multiply by 5:
\[
5 \times 90 = 450.
\]
4. Divide by 9:
\[
\frac{450}{9} = 50.
\]
Thus, the Celsius temperature corresponding to 122 degrees Fahrenheit is \( 50 \) degrees.
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Simplify this solution Mind Expander
To find the Celsius temperature when the Fahrenheit temperature is 122 degrees, we can substitute \( f = 122 \) into the formula \( c = 5(f-32) \div 9 \). First, calculate \( f - 32 \): \[ 122 - 32 = 90 \] Now substitute this value into the formula: \[ c = 5(90) \div 9 \] Next, calculate \( 5 \times 90 \): \[ 5 \times 90 = 450 \] Now, divide by 9: \[ c = 450 \div 9 = 50 \] Therefore, the Celsius temperature for a Fahrenheit temperature of 122 degrees is \( 50 \) degrees Celsius.
