Question

a jeweler needs to melt some 18 - karat gold to make a necklace. the melting point for 18 - karat gold is 1700°f. convert this fahrenheit temperature to a celsius temperature. round your answer to one decimal place. the solution is

Explanation:

Step1: Recall the conversion formula

The formula to convert Fahrenheit (\(F\)) to Celsius (\(C\)) is \(C=\frac{5}{9}(F - 32)\).

Step2: Substitute the given value

We are given \(F = 1700\), so substitute \(F\) into the formula: \(C=\frac{5}{9}(1700 - 32)\).
First, calculate the value inside the parentheses: \(1700-32 = 1668\).
Then, calculate \(\frac{5}{9}\times1668\). \(\frac{5\times1668}{9}=\frac{8340}{9}\approx926.666\cdots\)

Step3: Round to one decimal place

Rounding \(926.666\cdots\) to one decimal place gives \(926.7\).

Answer:

\(926.7\)