QUESTION IMAGE
Question
question
a digital food thermometer is capable of showing both °f to one decimal place in the middle of the screen, and °c to one decimal place in a smaller print at the top right corner of the screen.
if the middle of the screen shows 75°f, what is being displayed at the top right corner of the screen? round your answer to the nearest tenth.
provide your answer below:
°c
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 Fahrenheit value
Given $F = 75$, substitute into the formula: $C=\frac{5}{9}(75 - 32)$.
First, calculate the value inside the parentheses: $75-32 = 43$.
So, $C=\frac{5\times43}{9}=\frac{215}{9}$.
Step3: Calculate the result
$\frac{215}{9}\approx23.9$ (rounded to the nearest tenth).
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$23.9$