At what temperature do both Centigrade and Fahrenheit thermometers show the same reading?
At what temperature do both Centigrade and Fahrenheit thermometers show the same reading?
A−20°
B−40°
C42°
D0°
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Correct answer is: −40°
Explanation:
Let F is Fahrenheit and C is Celsius.
The conversion formula is:
\(F = C \times \frac{9}{5} + 32\)
given that F and C is equal.
so,
\(F = F \times \frac{9}{5} +32\)
\(F- \frac{9F}{5} =32\)
\(\frac{5F-9F}{5}=32\)\(\frac{-4F}{5}=32\)
\(-4F = 32 \times 5\)
\(F = - \frac{160}{4}\)
\(F = -40\)
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