Question

question
type the correct answer in each box. if necessary, round your answers to the nearest tenth.
use the conversion formulas for celsius and fahrenheit to find the missing values in the table
temperature
degrees celsius degrees fahrenheit
10

87
-5

110

Explanation:

Step1: Recall the conversion formula

The formula to convert Celsius ($C$) to Fahrenheit ($F$) is $F=\frac{9}{5}C + 32$.

Step2: Convert 10 degrees Celsius to Fahrenheit

Substitute $C = 10$ into the formula: $F=\frac{9}{5}\times10+32=18 + 32=50$.

Step3: Convert 87 degrees Fahrenheit to Celsius

We use the formula $C=\frac{5}{9}(F - 32)$. Substitute $F = 87$: $C=\frac{5}{9}(87 - 32)=\frac{5}{9}\times55\approx30.6$.

Step4: Convert - 5 degrees Celsius to Fahrenheit

Substitute $C=-5$ into $F=\frac{9}{5}C + 32$: $F=\frac{9}{5}\times(-5)+32=-9 + 32 = 23$.

Step5: Convert 110 degrees Fahrenheit to Celsius

Substitute $F = 110$ into $C=\frac{5}{9}(F - 32)$: $C=\frac{5}{9}(110 - 32)=\frac{5}{9}\times78\approx43.3$.

Answer:

Degrees Celsius	Degrees Fahrenheit
30.6	87
- 5	23
43.3	110