We want to mark off a thermometer in both Celsius and Fahrenheit temperatures. On the Celsius scale, the lowest temperature mark is at \(-10^{\circ} \mathrm{C},\) and the highest temperature mark is at \(50^{\circ} \mathrm{C} .\) What are the equivalent Fahrenheit temperatures?

Short Answer

Expert verified
-10 degrees Celsius is equal to 14 degrees Fahrenheit and 50 degrees Celsius is equal to 122 degrees Fahrenheit.

Step by step solution

01

Convert -10 degrees Celsius to Fahrenheit

Apply the formula \( F = (C * 9/5) + 32 \) by replacing C with -10 to get the Fahrenheit equivalent. The calculation is as follows: \( F = (-10 * 9/5) + 32 \).
02

Simplify the conversion of -10 degrees Celsius to Fahrenheit

Perform the calculations to get the Fahrenheit equivalent. This comes to \( F = -18 + 32 \) which simplifies further to \( F = 14 \). Therefore, -10 degrees Celsius is equal to 14 degrees Fahrenheit.
03

Convert 50 degrees Celsius to Fahrenheit

Again use the formula \( F = (C * 9/5) + 32 \), this time replacing C with 50. You will get this equation: \( F = (50 * 9/5) + 32 \). Remember to perform the multiplication before the addition.
04

Simplify the conversion of 50 degrees Celsius to Fahrenheit

Perform the calculations to find the Fahrenheit equivalent. This comes to \( F = 90 + 32 \) which further simplifies to \( F = 122 \). Therefore, 50 degrees Celsius equals 122 degrees Fahrenheit.

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