Question

convert between degrees fahrenheit and celsius.
do not label the units. round to the nearest whole
degree.
degrees fahrenheit degrees celsius
54
75
75
54

Explanation:

Step1: Convert 54°F to Celsius

Use the formula \(C=\frac{5}{9}(F - 32)\). Substitute \(F = 54\):
\(C=\frac{5}{9}(54 - 32)=\frac{5}{9}\times22=\frac{110}{9}\approx12\)

Step2: Convert 75°F to Celsius

Substitute \(F = 75\) into \(C=\frac{5}{9}(F - 32)\):
\(C=\frac{5}{9}(75 - 32)=\frac{5}{9}\times43=\frac{215}{9}\approx24\)

Step3: Convert 75°C to Fahrenheit

Use the formula \(F=\frac{9}{5}C+32\). Substitute \(C = 75\):
\(F=\frac{9}{5}\times75+32=135 + 32=167\)

Step4: Convert 54°C to Fahrenheit

Substitute \(C = 54\) into \(F=\frac{9}{5}C+32\):
\(F=\frac{9}{5}\times54+32=\frac{486}{5}+32 = 97.2+32=129.2\approx129\)

Answer:

12
24
167
129