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Frank hears that the average temperature at a science station in Antarctica one winter is [tex]-40^{\circ} C[/tex]. He knows he can change the Celsius temperature into Fahrenheit by multiplying the given temperature by 9, adding 160, and then dividing by 5. What temperature should Frank come up with?

A. [tex]-104^{\circ} F[/tex]
B. [tex]-40^{\circ} F[/tex]
C. [tex]40^{\circ} F[/tex]
D. [tex]104^{\circ} F[/tex]

Answer :

Sure! Let's convert the temperature from Celsius to Fahrenheit using the given formula. Follow these steps:

1. Start with the given Celsius temperature:
The temperature at the science station is [tex]\(-40^{\circ} C\)[/tex].

2. Multiply the Celsius temperature by 9:
[tex]\(-40 \times 9 = -360\)[/tex]

3. Add 160 to the result from step 2:
[tex]\(-360 + 160 = -200\)[/tex]

4. Divide the result from step 3 by 5:
[tex]\(-200 \div 5 = -40\)[/tex]

So, the temperature in Fahrenheit is [tex]\(-40^{\circ} F\)[/tex].

Thus, Frank should come up with [tex]\(-40^{\circ} F\)[/tex]. The correct answer is:

B. [tex]\(-40^{\circ} F\)[/tex]

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