Question

celsius and fahrenheit
the formula to convert from celsius to fahrenheit is ( f=\frac{9}{5}c + 32 ). use this formula to complete the statements below. round your answers to the nearest tenth as needed.
if the temperature is ( 56^{circ}f ), that is equivalent to ( square^{circ}c ).
if the temperature is ( 37^{circ}c ), that is equivalent to ( square^{circ}f ).
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Explanation:

Step1: Solve for \(C\) when \(F = 56\)

Given \(F=\frac{9}{5}C + 32\), substitute \(F = 56\):
\(56=\frac{9}{5}C+32\)
Subtract 32 from both sides:
\(56 - 32=\frac{9}{5}C\)
\(24=\frac{9}{5}C\)
Multiply both sides by \(\frac{5}{9}\):
\(C = 24\times\frac{5}{9}=\frac{120}{9}\approx13.3\)

Step2: Solve for \(F\) when \(C = 37\)

Substitute \(C = 37\) into \(F=\frac{9}{5}C + 32\):
\(F=\frac{9}{5}\times37+32\)
\(F=\frac{333}{5}+32\)
\(F = 66.6+32=98.6\)

Answer:

13.3°C, 98.6°F