College

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][tex]$9 / 5$[/tex][/tex]
C. Add 273 to 46
D. Subtract 273 from 46

Answer :

Sure! Let's go through the steps to convert [tex]\(78^\circ \text{F}\)[/tex] to degrees Celsius.

1. Start with the given temperature in Fahrenheit:
[tex]\[
78^\circ \text{F}
\][/tex]

2. Subtract 32 from the Fahrenheit temperature:
[tex]\[
78 - 32 = 46
\][/tex]
This is done because the Celsius and Fahrenheit scales are offset by 32 degrees.

3. Multiply the result by the conversion factor [tex]\( \frac{5}{9} \)[/tex]:
[tex]\[
46 \times \frac{5}{9}
\][/tex]
This step is necessary because each degree on the Fahrenheit scale is equal to [tex]\(\frac{5}{9}\)[/tex] of a degree on the Celsius scale.

Once you perform the multiplication, you'll get the temperature in degrees Celsius. The answer is [tex]\(25.56^\circ \text{C}\)[/tex] (approximately).

So, the next step after subtracting 32 is to multiply by [tex]\( \frac{5}{9} \)[/tex].

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