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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]\frac{5}{9}[/tex]
B. Multiply 46 by [tex]\frac{9}{5}[/tex]
C. Add 273 to 46
D. Subtract 273 from 46

Answer :

To convert temperatures from Fahrenheit to Celsius, you can use the formula:

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

Where:
- [tex]\( C \)[/tex] is the temperature in degrees Celsius.
- [tex]\( F \)[/tex] is the temperature in degrees Fahrenheit.

Barbara starts by subtracting 32 from 78 Fahrenheit. Here's how to proceed:

1. Subtract 32 from the Fahrenheit temperature:
[tex]\( 78 - 32 = 46 \)[/tex]

2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\( 46 \times \frac{5}{9} = 25.56 \)[/tex] (approximately)

So, after subtracting 32 from 78, the next step is to multiply 46 by [tex]\( \frac{5}{9} \)[/tex]. This converts the temperature from Fahrenheit to Celsius.

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