Question

The formula $F = \frac{9}{5} C + 32$ can be used to convert temperatures between degrees Fahrenheit ($F$) and degrees Celsius ($C$). How many degrees are in the Celsius equivalent of $-22^\circ F$?

Answer 1

To find the equivalent temperature in Celsius (C), substitute the given Farenheit temperature into the equation for converting temperatures: -22 = C+32. Now, solve for C:-54= 9⁄5C - 54 · 9⁄5 = C-30 = C. The equivalent Celsius temperature to -22° F is -30.

Answer 2

-30° C

Step-by-step explanation:

Data provided in the problem:

The formula for conversion as:

F = (9/5)C + 32

Now,

for the values of F = -22 , C = ?

Substituting the value of F in the above formula, we get

-22 = (9/5)C + 32

or

-22 - 32 = (9/5)C

or

(9/5)C = - 54

or

C = - 54 × (5/9)

or

C = - 30 °

Hence, -22 Fahrenheit equals to -30°C