A few days ago
By showing work, at what temperature are Fahrenheit and Celcius equal?
I was given C=(5/9)(F-32)
Top 2 Answers
A few days ago
Favorite Answer
Well if you look at the conversion formulas for Celsius to Fahrenheit, or that of Fahrenheit to Celsius, you can manipulate it mathematically to answer this question.
The conversion formula reads:
T(F) = T(C) x 9/5 + 32
this means that the temperature of Fahrenheit equals the temperature of Celsius multiplied by nine / fifths, plus 32 degrees.
If the temperatures are the same then the two ‘T’s’ in the formula should represent the same temperature.
So,
t = t x 9/5 + 32
minus the nine fifths of t from each side to move it to the left of the equation. this leaves:
t – 9t/5 = 32 ——> this leaves: – 4t/5 = 32
so then you multiply each side by – 5/4 to solve for t, and you get t = – 40 degrees!
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A few days ago
-40
Figure it out
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