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Question

F=(9/5)C+32

Is there a temperature which is numerically the same in both Fahrenheit and celcius? If yes,find it.

Explain the solution with reason.


Solution

The formula conversion between Fahrenheit and Celsius is given below:

F = 9/5*C + 32

To find the temperature both scales are equal we can use another equation and combine it with this previous equation. The equation is simply F = C. Plug in for F or C and solve. Both cases are shown below:

C = 9/5*C + 32
C - 9/5*C = 32
-4/5*C = 32
C = (-32*5)/4 = -40


F = 9/5*F + 32
F - 9/5*F = 32
-4/5*F = 32
F = (-32*5)/4 = -40

Thus, at the cold temperature of negative 40, this temperature is the same on both the Fahrenheit and Celsius temperature scales.

Mathematics

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