The temperature at which the reading of a Fah | vedclass

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Question

(A) The relationship between Fahrenheit $(T_F)$ and Celsius $(T_C)$ scales is given by the formula: $\frac{T_F - 32}{180} = \frac{T_C}{100}$.Let the r

Vedclass · Accepted Answer

$160$

Vedclass · Answer

(A) The relationship between Fahrenheit $(T_F)$ and Celsius $(T_C)$ scales is given by the formula: $\frac{T_F - 32}{180} = \frac{T_C}{100}$.Let the reading on the centigrade thermometer be $	heta$. According to the problem,the reading on the Fahrenheit thermometer is $2	heta$.Substituting these values into the formula: $\frac{2	heta - 32}{180} = \frac{	heta}{100}$.Simplifying the equation: $\frac{2	heta - 32}{18} = \frac{	heta}{10}$.$10(2	heta - 32) = 18	heta$.$20	heta - 320 = 18	heta$.$2	heta = 320$.$	heta = 160$.Thus,the temperature is $160^{\circ}$.

The temperature at which the reading of a Fahrenheit thermometer will be double that of a centigrade thermometer is ........ $^\circ$.

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