At what temperature will the values of ^circ | vedclass

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Question

(C) The relationship between Celsius $(C)$ and Fahrenheit $(F)$ scales is given by the formula: $F = \frac{9}{5}C + 32$. To find the temperature where

Vedclass · Accepted Answer

$-40$

Vedclass · Answer

(C) The relationship between Celsius $(C)$ and Fahrenheit $(F)$ scales is given by the formula: $F = \frac{9}{5}C + 32$. To find the temperature where $C = F$,let $x$ be the temperature. Substituting $x$ into the equation: $x = \frac{9}{5}x + 32$. Rearranging the terms: $x - \frac{9}{5}x = 32$. $-\frac{4}{5}x = 32$. $x = 32 	imes (-\frac{5}{4}) = -40$. Thus,at $-40^\circ$,the values on both scales are equal.

At what temperature will the values of $^\circ C$ and $^\circ F$ be equal?

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