In the metric system of weights and measures, temperature is meas...

Question

In the metric system of weights and measures, temperature is measured in degrees Celsius (°C) instead of degrees Fahrenheit (°F). To convert between the two systems, we use the equations. C =5/9 (F-32) and F = 9/5C+32. In each exercise, convert to the other system. Round answers to the nearest tenth of a degree if necessary. 100°F

Accepted Answer

Hey, everyone in this problem, we're asked to convert the given temperature to its metric degree Celsius or imperial degree Fahrenheit equivalent using the following conversion formulas. The temperature we're given is 217°F. We're given the conversion formulas that C C is equal to 5/9 multiplied by F -32. And that Fahrenheit F is equal to 9/5 multiplied by C plus 32. We have four answer choices. Option a 102.7, 8°C. Option B 333.13°C. Option C 422.6°C. and 358.6°C. Now, we're giving a temperature in Fahrenheit. So we want to convert this to Celsius. Now, the formula tells us that the Celsius C is equal to five nights Multiplied by the Fahrenheit Value -32, substituting in the Fahrenheit value. We were given, We get five nights Multiplied by 217 -32. This is equal to five nights Multiplied by 185. And we get that, this is equal to 102.78°C. So converting 217°F with our conversion formula, we found that the correct answer is 102.78°C, which corresponds with answer choice. A that's it for this one. Thanks everyone for watching. I hope this video helped.

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