High School

The Fahrenheit and Celsius scales are related by the equation [tex]F = \frac{9}{5}C + 32[/tex]. What temperature in Celsius is equal to a body temperature of [tex]98.6^\circ F[/tex]?

Answer :

[tex]\textbf{Substitute\ in\ the\ equation}[/tex]

[tex]\displaystyle 98.6 = \frac{9C}{5} +32[/tex]

[tex]\textbf{Solve\ for\ }C[/tex]

[tex]\displaystyle 66.6 = \frac{9C}{5}[/tex]

[tex]333=9C[/tex]

[tex]\large C=\textbf{37 \textdegree C}[/tex]

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