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Question
the average temperatures for two of the worlds hottest places are given. determine which location has the warmer average temperature and by how many degrees fahrenheit. location a: 87.3°f and location b: 30.4°c. the location with the warmer average temperature is which is warmer by about °f. (round to the nearest tenth of a degree as needed.)
Step1: Convert Celsius to Fahrenheit
Use the formula $F = \frac{9}{5}C+32$. For Location B with $C = 30.4^{\circ}C$, we have $F=\frac{9}{5}\times30.4 + 32$. First, calculate $\frac{9}{5}\times30.4=9\times6.08 = 54.72$. Then $F=54.72 + 32=86.72^{\circ}F$.
Step2: Compare temperatures
Location A has a temperature of $87.3^{\circ}F$ and Location B has a temperature of $86.72^{\circ}F$. The difference is $87.3 - 86.72 = 0.58^{\circ}F\approx0.6^{\circ}F$.
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The location with the warmer average temperature is location A, which is warmer by about $0.6^{\circ}F$.