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 10

Explanation:

Step1: Recall conversion formulas

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

Step2: Convert 10°C to Fahrenheit

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

Step3: Convert 87°F to Celsius

Substitute $F = 87$ into $C=\frac{5}{9}(F - 32)$. Then $C=\frac{5}{9}(87 - 32)=\frac{5}{9}\times55=\frac{275}{9}\approx30.6$.

Step4: Convert - 5°C to Fahrenheit

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

Step5: Convert 10°F to Celsius

Substitute $F = 10$ into $C=\frac{5}{9}(F - 32)$. Then $C=\frac{5}{9}(10 - 32)=\frac{5}{9}\times(-22)=-\frac{110}{9}\approx - 12.2$.

Answer:

Degrees Celsius	Degrees Fahrenheit
30.6	87
-5	23
-12.2	10