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Classical Mechanics Level 1

Maren has two thermometers hanging on the wall next to each other: one showing ∘ C , ^\circ \text{C}, and the other ∘ F . ^\circ \text{F}. One day, she stumbles upon something very rare: the two thermometers are showing exactly the same numerical measures!

What is this number?


The answer is -40.

Thành Đạt Lê by Thành Đạt Lê , 17, Singapore

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1 solution

Here's how to covert from Celcius to Fahrenheit:

t ( ∘ F ) = t ( ∘ C ) ⋅ 1 , 8 + 32 t_{(^\circ F)} = t_{(^\circ C)} \cdot 1,8 + 32

So, a ∘ C = a ∘ F a^\circ C = a^\circ F

a ⋅ 1 , 8 + 32 = a a \cdot 1,8 + 32 = a

a ⋅ 1 , 8 − a = − 32 a \cdot 1,8 - a = -32

a ⋅ 0 , 8 = − 32 a \cdot 0,8 = -32

a = − 40 a = -40

Oh wait, where is she living?

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