the temperature in degrees fahrenheit, f, is related to the temperature in degrees celsius, c, which is…

the temperature in degrees fahrenheit, f, is related to the temperature in degrees celsius, c, which is represented by the equation $f = \\frac{9}{5}c + 32$. there is one temperature where the degrees fahrenheit and degrees celsius are the same, so that $c = f$. what is that temperature?

the temperature in degrees fahrenheit, f, is related to the temperature in degrees celsius, c, which is represented by the equation $f = \\frac{9}{5}c + 32$. there is one temperature where the degrees fahrenheit and degrees celsius are the same, so that $c = f$. what is that temperature?

Answer

Explanation:

Step1: Substitute ( C = F ) into the formula

Given ( F=\frac{9}{5}C + 32 ), and since ( C = F ), we substitute ( F ) with ( C ) (or vice versa) to get ( C=\frac{9}{5}C + 32 ).

Step2: Solve for ( C )

Subtract ( \frac{9}{5}C ) from both sides: ( C-\frac{9}{5}C=\frac{9}{5}C + 32-\frac{9}{5}C ). Simplify the left side: ( \frac{5}{5}C-\frac{9}{5}C=-\frac{4}{5}C ), and the right side is ( 32 ). So we have ( -\frac{4}{5}C = 32 ). Multiply both sides by ( -\frac{5}{4} ): ( C=32\times(-\frac{5}{4})=-40 ). Since ( C = F ), the temperature is ( -40 ) degrees (both in Celsius and Fahrenheit).

Answer:

(-40) degrees (both Celsius and Fahrenheit)