SOLUTION: The relationship between Fahrenheit temperature, F, and Celsius temperature, C, is shown by the formula F = C + 32. At what temperature will a Fahrenheit thermometer read the same

Algebra ->  Equations -> SOLUTION: The relationship between Fahrenheit temperature, F, and Celsius temperature, C, is shown by the formula F = C + 32. At what temperature will a Fahrenheit thermometer read the same       Log On


   



Question 1093588: The relationship between Fahrenheit temperature, F, and Celsius temperature, C, is shown by the formula F = C + 32. At what temperature will a Fahrenheit thermometer read the same as a Celsius thermometer?
Found 3 solutions by Alan3354, ikleyn, Boreal:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
formula F = C + 32
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Using that, never.
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F = (9/5)C + 32
F = 1.8C + 32
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C = 1.8C + 32
-0.8C = 32
C = -40
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-40C = -40F
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That's close to the freezing point of Hg, -39.6.
I forget if that's C or F, but I doesn't matter here.

Answer by ikleyn(52805) About Me  (Show Source):
You can put this solution on YOUR website!
.
Your formula connecting Fahrenheit with Celsius is incorrect.

Follow to that by the tutor @Alan.



Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The answer is -40, and here is how you get there.
C=(5/9)(F-32)
but C=F
therefore, F=(5/9)(F-32)=(5/9)F-160/9
(4/9)F=-160/9
denominators cancel
4F=-160
F=-40=C