High School

Barbara is converting [tex]$78^{\circ} F$[/tex] to degrees Celsius. First, she subtracts 32 from 78. What is the next step?

A. Multiply 46 by [tex]$5/9$[/tex].

B. Multiply 46 by [tex]$9/5$[/tex].

C. Add 273 to 46.

D. Subtract 273 from 46.

Answer :

Sure, let's go through the process of converting [tex]$78^\circ F$[/tex] to degrees Celsius step by step.

1. Start with the formula for converting Fahrenheit to Celsius:
[tex]\[
C = \frac{5}{9} \times (F - 32)
\][/tex]
Here, [tex]\(C\)[/tex] is the temperature in degrees Celsius and [tex]\(F\)[/tex] is the temperature in degrees Fahrenheit.

2. Subtract 32 from the Fahrenheit temperature:
[tex]\[
78 - 32 = 46
\][/tex]
The result is 46.

3. Multiply the result by [tex]\(\frac{5}{9}\)[/tex] to convert to Celsius:
[tex]\[
46 \times \frac{5}{9} = 25.56 \quad \text{(approximately)}
\][/tex]

Therefore, after subtracting 32 from 78, the next step is to multiply the result, which is 46, by [tex]\( \frac{5}{9} \)[/tex]. This will give you the temperature in degrees Celsius.

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