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

Answer :

To convert degrees Fahrenheit to degrees Celsius, we can use the formula:

[tex]\[ C = \frac{5}{9} \times (F - 32) \][/tex]

Let's follow the steps to solve the problem:

1. Subtract 32 from the Fahrenheit temperature: Start with the given temperature in Fahrenheit, which is 78° F. The first step is to subtract 32 from this value:

[tex]\[ 78 - 32 = 46 \][/tex]

2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]: After obtaining the result from the subtraction, the next step in the conversion process is to multiply by [tex]\(\frac{5}{9}\)[/tex]:

[tex]\[ 46 \times \frac{5}{9} = 25.56 \][/tex]

(rounded to two decimal places)

The conversion result tells us that 78° F is equivalent to approximately 25.56° C.

Therefore, the next step Barbara should take after subtracting 32 from 78 is to multiply 46 by [tex]\(\frac{5}{9}\)[/tex].

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