College

Use the formula [tex]C = \frac{5(F-32)}{9}[/tex], where [tex]C[/tex] is the temperature in degrees Celsius and [tex]F[/tex] is the temperature in degrees Fahrenheit.

Calculate the temperature in Celsius for [tex]68^{\circ} F[/tex].

Answer :

Sure! To convert a temperature from degrees Fahrenheit to degrees Celsius using the formula [tex]\( C = \frac{5(F-32)}{9} \)[/tex], follow these steps:

1. Identify the Fahrenheit temperature: We know the temperature in Fahrenheit is [tex]\( 68^\circ F \)[/tex].

2. Substitute the Fahrenheit value into the formula: Replace [tex]\( F \)[/tex] with [tex]\( 68 \)[/tex] in the formula:
[tex]\[
C = \frac{5(68 - 32)}{9}
\][/tex]

3. Calculate the difference in the parentheses: Subtract [tex]\( 32 \)[/tex] from [tex]\( 68 \)[/tex]:
[tex]\[
68 - 32 = 36
\][/tex]

4. Multiply by 5: Multiply the result [tex]\( 36 \)[/tex] by [tex]\( 5 \)[/tex]:
[tex]\[
5 \times 36 = 180
\][/tex]

5. Divide by 9: Finally, divide the result [tex]\( 180 \)[/tex] by [tex]\( 9 \)[/tex] to find the Celsius temperature:
[tex]\[
\frac{180}{9} = 20
\][/tex]

So, [tex]\( 68^\circ F \)[/tex] is equal to [tex]\( 20^\circ C \)[/tex].