Question

The linear equation that converts Fahrenheit (F) to Celsius (C), is given by the relation \[C = \dfrac{{5F - 180}}{2}\] . If the temperature is \[{35^0}C\] , then what is the temperature in Fahrenheit?

Answer 1

Hint: As we are given that \[C = \dfrac{{5F - 180}}{2}\] , we can use this linear expression and as given that the temperature is \[{35^0}C\] , so we can simply put the value of degree Celsius in above formula and on calculating simply we can find the temperature in Fahrenheit.

Complete step-by-step answer:
As the given temperature is \[{35^0}C\] and the linear relation is as \[C = \dfrac{{5F - 180}}{2}\]
Hence we have \[C = {35^0}C\]
Hence, on substituting the value of C in \[C = \dfrac{{5F - 180}}{2}\] , we get,
 \[ \Rightarrow 35 = \dfrac{{5F - 180}}{2}\]
On multiplying the equation by 2 we get,
 \[ \Rightarrow 70 = 5F - 180\]
Adding 180 on both sides we get,
 \[ \Rightarrow 180 + 70 = 5F\]
On simplification we get,
 \[ \Rightarrow 250 = 5F\]
On dividing the equation by 5, we get,
 \[ \Rightarrow F = \dfrac{{250}}{5}\]
On simplification we get,
 \[ \Rightarrow F = 50\]
So, the temperature value in Fahrenheit is \[F = {50^0}F\]

Note: The degree Celsius is a unit of temperature on the Celsius scale, a temperature scale originally known as the centigrade scale. The degree Celsius can refer to a specific temperature on the Celsius scale or a unit to indicate a difference between two temperatures or an uncertainty.
0 degrees Celsius is equal to 273.15 Kelvins. The basic formula is \[^\circ C{\text{ }} + {\text{ }}273.15{\text{ }} = {\text{ }}K\] . The basic formula to convert Fahrenheit degrees into Kelvins, \[\left( {^\circ F{\text{ }} - {\text{ }}32} \right){\text{ }} \times {\text{ }}\dfrac{5}{9}{\text{ }} + {\text{ }}273.15{\text{ }} = {\text{ }}K\] .
How do you convert F to C easily?
After you know the formula, it is easy to convert Fahrenheit to Celsius with these three steps.
1.Subtract 32 from the Fahrenheit temperature.
2.Multiply this number by five.
3.Divide the result by nine.