Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the average temperatures for two of the worlds hottest places are given…

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.)

Explanation:

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 $87.3 - 86.72 = 0.58^{\circ}F\approx0.6^{\circ}F$.

Answer:

The location with the warmer average temperature is location A, which is warmer by about $0.6^{\circ}F$.