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emmainna [20.7K]
3 years ago
5

The temperature was 38 degrees Fahrenheit before a cold front came through. Ten hours later, the temperature was -12 degrees Fah

renheit. If the temperature dropped at a constant rate, find the rate of change, in degrees per hour.
Mathematics
1 answer:
padilas [110]3 years ago
7 0

Answer:

-5 degrees per hour

Step-by-step explanation:

In 10 hours, the temperature dropped -50 degrees (38 + 12, and make it negative because the temperature went down, not up).

So divide -50 by 10

-50/10 = -5

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Make an equation system based on the problem
eg. a is the first number and b is the seond number
An equation for "<span>The sum of two numbers is 53" is
</span>⇒ a + b = 53
An equation for "<span>twice the first number minus three times the second number is 26"
</span>⇒ 2a - 3b = 26
<span>
Solve the equations by elimination and subtitution method
Eliminate a to find the value of b
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2a - 3b = 26
--------------------------------------
2a + 2b = 106
2a -  3b = 26
------------------- - (substract)
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         b = 80/5
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Subtitute the value of b to one of the equations
a + b = 53
a + 16 = 53
a = 53 - 16
a = 37

The numbers are 16 and 37</span>
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Step-by-step explanation:

Jk that's 63%

Good luck!

8 0
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Step-by-step explanation:

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