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Alma is flying from Milwaukee to Tampa on a Boeing 737 jet. When the plane reaches an altitude of 35,000 feet, the temperature outside the plane is \( 50^{\circ} \) below zero Fahrenheit. Represent this temperature with a negative number. If the temperature outside the plane gets warmer by 14 degrees, what will the new temperature be? The new temperature will be \( \square \)\( { }^{\circ} \mathrm{F} \).

Ask by Hampton Pritchard. in the United States
Feb 20,2025

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Answer

The new temperature will be \(-36\)°F.

Solution

To represent the temperature of \( 50^{\circ} \) below zero Fahrenheit as a negative number, we can write it as: \[ T = -50 \] Next, if the temperature outside the plane gets warmer by 14 degrees, we need to add 14 to the current temperature: \[ T_{\text{new}} = T + 14 = -50 + 14 \] Now, let's calculate the new temperature: \[ T_{\text{new}} = -50 + 14 = -36 \] Thus, the new temperature will be: \[ \boxed{-36} \, ^{\circ} \mathrm{F} \]

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The temperature outside the plane at 35,000 feet is \( -50^{\circ} \) Fahrenheit. To represent this temperature as a negative number, we simply use -50. If the temperature warms up by 14 degrees, we calculate the new temperature by adding 14 to -50. So, \(-50 + 14 = -36\). The new temperature will be \( -36^{\circ} \mathrm{F} \).

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