if C= 5/9 (F -32), find F, when C = 30.
Answers
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Step-by-step explanation:
ANSWER
We have the formulas for converting between degree Celsius to degree Fahrenheit are;
0
F=(
0
C×
5
9
)+32
0
C=(
0
F−32)×
9
5
It does not matter which equation you use; simply use x instead of degrees Celsius and Fahrenheit. You can solve this problem by solving for x;
0
C=
9
5
×(
0
F−32)
x=
9
5
×(x−32)
x=(
9
5
)x−17.778
0.444x=−17.778
x=−40degreeCelsiusorFahrenheit.
Working using the other equation, we get the same answer;
0
F=(
0
C×
5
9
)+32
0
x−(
0
x×
5
9
)=32
−
5
4
×
0
x=32
0
x=−32×
4
5
x=−40degreeCelsiusorFahrenheit
So the temperature when both the Celsius and Fahrenheit scales are the same is −40 degrees.
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