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Montana is known for having very chilly winters. One night, the temperature was falling by 2 degrees Fahrenheit each hour. At sunset, the temperature was -5 degrees Fahrenheit. How many hours will it take for the temperature to reach -19° F?​

Respuesta :

Answer:

7 hours

Step-by-step explanation:

We are given that

At sunset, the temperature=-5 degrees Fahrenheit

Each hour, temperature falling=2degrees Fahrenheit

We have to find time taken to reach the temperature -19° F.

Let x be the time time taken to reach the temperature -19° F

According to question

[tex]-5+x(-2)=-19[/tex]

Where we taking 2 negative because temperature decreases.

[tex]-5-2x=-19[/tex]

[tex]-5+19=2x[/tex]

[tex]14=2x[/tex]

[tex]x=\frac{14}{2}[/tex]

[tex]x=7[/tex]

Hence, it will take 7 hours for the  temperature to reach -19° F.