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Pani-rosa [81]
3 years ago
6

The temperature at a ski resort was 12°F at 5:00 A.M. If the temperature increased by 1.5°F each hour, what would be the tempera

ture at 12 noon?
Mathematics
1 answer:
mihalych1998 [28]3 years ago
4 0

The <em><u>correct answer</u></em> is:

22.5°F.

Explanation:

The temperature rises 1.5°F each hour.  From 5:00 AM to 12:00 PM is 12-5 = 7 hours.  This gives us a rise of 7(1.5) = 10.5°.

An increase of 10.5° makes the new temperature 12+10.5 = 22.5°F.

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For the equation 2(4+x)+(13+x)=3x+k which value of k will create an equation with no solutions. .A. x B. 3x .C 15 D. 21
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<h3>Answer: choice C) 15</h3>

Simplify the left side to get

2(4+x)+(13+x)

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So the original equation

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3x+21-3x = 3x+k-3x

21 = k

k = 21

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If k = 21, then the original equation will have infinitely many solutions. This is because we will end up with 3x+21 on both sides, leading to 0 = 0 after getting everything to one side. This is a true equation no matter what x happens to be.

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3x+21 = 3x+k

3x+21 = 3x+15

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The last equation is false, so there are no solutions here.

note: if you replace k with a variable term, then there will be exactly one solution.

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