Middle School

The formula to convert Celsius (C) to Fahrenheit (F) is [tex]F = \frac{9}{5}C + 32[/tex]. If the temperature is 21.5°C, what is it in Fahrenheit?

Answer :

Answer:

F=70.7

Step-by-step explanation:

This is a simple substitution problem.

  1. The formula to change Fahrenheit to Celsius is [tex]F=\frac{9}{5}\left(C\right)+32[/tex].
  2. They give you C, so substitute it into the problem, which would give you [tex]F=\frac{9}{5}\left(21.5\right)+32[/tex].
  3. Simplify the right side of the equation by multiplying [tex]\frac{9}{5}[/tex] by 21.5.
  4. Now, add 32 to 38.7, which should have been your answer to the previous step.
  5. You should now have F= 70.7 as your answer.

The resulting temperature in Fahrenheit is 70.7°F.

To convert a temperature from Celsius (°C) to Fahrenheit (°F), you can use the formula:

F = (9/5)C + 32

Given that the temperature is 21.5°C, we can substitute this value into the formula:

Multiply the Celsius temperature by 9: 9 * 21.5 = 193.5

Divide the result by 5: 193.5 / 5 = 38.7

Add 32 to the quotient: 38.7 + 32 = 70.7

Therefore, the temperature in Fahrenheit is 70.7°F.