Question

Is it ever the case that the temperature in degrees Fahrenheit is the same as the

temperature in degrees Celsius? If so, find the temperature.

Answer 1

9514 1404 393

Answer:

yes. -40°C = -40°F

Explanation:

The relationship between the two temperature scales is ...

C = 5/9(F -32)

If we set the numerical values equal, we have ...

F = C

F = 5/9(F -32) . . . . .substitute for C

9F = 5(F -32) . . . . . multiply by 9

4F = -160 . . . . . . . . eliminate parentheses, subtract 5F

F = -40

The two temperature scales have the same value at -40°.

_____

That's the bottom mark on the thermometer scales attached. (Unfortunately, those scales seem to be slightly misaligned. 0°C doesn't line up exactly with 32°F, either. Oops.)