A warm day has a high temperature of 38.0°C. What is this temperature in degrees Fahrenheit?

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Answer 1 · 2016-02-25T22:04:42

The temperature is $100.4 °F$ $"100.4 °F"$ .

The formula is

$F = \frac{9}{5} C + 32$ $"F" = 9/5"C + 32"$

Hence,

$F = \frac{9}{5} \times 38.0 + 32 = 100.4$ $"F" =9/5×38.0 + 32 = 100.4$

The above formula ignores units. Here it is with units.

$"F" = 38.0 color(red)(cancel(color(black)("°C"))) × "9 °F"/(5 color(red)(cancel(color(black)("°C")))) + "32 °F" = "68.4 °F + 32 °F" = "100.4 °F"$

The temperature is $"100.4 °F"$ .