Answer :
The temperature in Celsius is c) -40°C.
To convert Fahrenheit (F) to Celsius (C), we start with the formula:
[tex]F = \frac{9}{5}C + 32[/tex]
Now, we need to solve for C.
Subtract 32 from both sides:
[tex]F - 32 = \frac{9}{5}C[/tex]Multiply both sides by [tex]\frac{5}{9}[/tex] to isolate C:
[tex]C = \frac{5}{9}(F - 32)[/tex]
Now we can use this new formula to find the temperature in Celsius when F = -40°F.
Substituting -40 for F:
[tex]C = \frac{5}{9}(-40 - 32)[/tex]
[tex]C = \frac{5}{9}(-72)[/tex]
[tex]C = \frac{-360}{9}[/tex]
[tex]C = -40[/tex]
Final answer:
To solve the equation F = ⁹⁄₅C + 32 for C, subtract 32 from both sides and then divide by ⁹⁄₅. Using this equation, the temperature in Celsius for -40° Fahrenheit is -40°C.
Explanation:
To solve the equation F = ⁹⁄₅C + 32 for C, you need to isolate C on one side of the equation. Start by subtracting 32 from both sides: F - 32 = ⁹⁄₅C. Then, divide both sides by ⁹⁄₅ to solve for C: C = (F - 32) x ⁵⁄₉. Using this equation, we can find the temperature in Celsius for -40° Fahrenheit by substituting -40 for F: C = (-40 - 32) x ⁵⁄₉ = -72 x ⁵⁄₉ = -40.
Learn more about Conversion of Temperature Scales here:
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