Question

a temperature of c degrees celsius is the same as \frac{9}{5}c + 32 degrees fahrenheit. according to weather records, the highest recorded temperature in the state of new mexico is 50 degrees celsius. what is the record high temperature in degrees fahrenheit? write your answer as a whole number or decimal. degrees fahrenheit

Explanation:

Step1: Substitute the value of \(C\)

Given the formula \(F=\frac{9}{5}C + 32\), and \(C = 50\). Substitute \(C = 50\) into the formula: \(F=\frac{9}{5}\times50+32\).

Step2: Calculate \(\frac{9}{5}\times50\)

\(\frac{9}{5}\times50=9\times10 = 90\) (using the rule \(\frac{a}{b}\times c=\frac{a\times c}{b}\), here \(a = 9\), \(b = 5\), \(c = 50\)).

Step3: Calculate the final value of \(F\)

\(F=90 + 32\).

Answer:

\(122\)