Question #225646

f the oF scale is thrice the oC scale, what are the values of oF and oC? in 2 decimal places



1
Expert's answer
2021-08-16T08:32:52-0400

It is known that °F=1.8×°C+32.\degree{F}=1.8\times\degree{C}+32. Therefore, this relationship can be represented as an equation:

°F°C=1.8×°C+32°C=3\frac{\degree{F}}{\degree{C}}=\frac{1.8\times\degree{C}+32}{\degree{C}}=3

Solving this equation for oC, we get 26.67.

Fahrenheit scale is thrice the Celsius scale, hence °F=26.67×3=80.01\degree{F}=26.67\times3=80.01


Answer: 26.67oC; 80.01oF



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