Math  /  Numbers & Operations

QuestionThe outside air temperature when Santa is flying typically reaches a low of -76 (negative 76) degrees Fahrenheit [F]\left[{ }^{\circ} F\right] during the cruising phase of his flight.
Express this outside air temperature in units of degrees Celsius [C]\left[{ }^{\circ} \mathrm{C}\right].
Enter a numerical answer without any units.

Studdy Solution

STEP 1

What is this asking? We need to convert -76 degrees Fahrenheit to degrees Celsius. Watch out! Don't mess up the order of operations in the conversion formula, and remember that we're starting with a *negative* temperature!

STEP 2

1. Set up the conversion formula.
2. Substitute and solve.

STEP 3

Alright, let's **kick things off** with the formula that links Fahrenheit (FF) and Celsius (CC): C=59(F32) C = \frac{5}{9} \cdot (F - 32) This tells us how to get the Celsius temperature from a Fahrenheit one.

STEP 4

Now, let's **plug in** our frosty Fahrenheit temperature of 76-76 degrees: C=59(7632) C = \frac{5}{9} \cdot (-76 - 32)

STEP 5

Inside the parentheses, we've got 7632-76 - 32.
We're adding 32-32 to 76-76, which gives us 108-108: C=59(108) C = \frac{5}{9} \cdot (-108)

STEP 6

Now, we **multiply** the fraction by 108-108.
We can think of this as 5(108)9\frac{5 \cdot (-108)}{9}.
Let's **divide** 108-108 by 99 to get 12-12: C=5(12) C = 5 \cdot (-12)

STEP 7

Finally, we **multiply** 55 by 12-12 to get our **final answer**: C=60 C = -60

STEP 8

So, -76 degrees Fahrenheit is equal to -60 degrees Celsius.
Brrr!

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