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Question
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in science class, savannah measures the temperature of a liquid to be 24° celsius. her teacher wants her to convert the temperature to degrees fahrenheit. what is the temperature of savannahs liquid to the nearest degree fahrenheit?
45°f
75°f
11°f
-4°f
Step1: Recall the conversion formula
The formula to convert Celsius (\(C\)) to Fahrenheit (\(F\)) is \(F=\frac{9}{5}C + 32\).
Step2: Substitute \(C = 24\) into the formula
Substitute \(C = 24\) into \(F=\frac{9}{5}C + 32\), we get \(F=\frac{9}{5}\times24+32\).
First, calculate \(\frac{9}{5}\times24\): \(\frac{9}{5}\times24=\frac{216}{5} = 43.2\).
Then, add 32: \(F = 43.2+32=75.2\).
Step3: Round to the nearest degree
Rounding \(75.2\) to the nearest degree gives \(75\).
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75°F (corresponding to the option "75°F")