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N76 [4]
3 years ago
14

a mountain decends a mountain for 5 hours. On average, she climbs down 500 feet each hour. what is her change in elevation after

5 hours?

Mathematics
2 answers:
pentagon [3]3 years ago
8 0
I 5 hours she will be 2,500 feet down
Neporo4naja [7]3 years ago
4 0

Answer: -2500 feet or 2500 feet down.

Step-by-step explanation:

Given : A mountain descends a mountain for 5 hours.

On average, she climbs down 500 feet each hour.

Since , we use negative sign to represent down or descend in quantity in integers.

Thus IN INEGERS,  on average, she climbs -500 feet each hour.

Now,  her change in elevation after 5 hours will be :-

-500\times5=-2500\text{ feet}

Hence, her change in elevation after 5 hours= -2500 feet.

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A tank and a pail contained a total of 962 ml of water. When 250 ml of water was poured from the pail to the tank, the amount of
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By solving a system of equations, we will see that the pail originally contained 382.9 ml.

<h3>How to write the system of equations?</h3>

First, we need to define the variables, we will use:

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  • P = amount of water in the pail.

First, we know that the total amount of water is 962 ml, then we have:

P + T = 962 ml.

We also know that if we pour 250 ml from the pail to the tank, the amount of water in the tank will be 12 times the amount of water in the pail, this is written as:

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Then the system of equations is:

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To solve this, first, we need to isolate one of the variables in one of the equations, I will isolate T in the first one:

T = 962 ml - P

Now we replace this into the other equation to get:

(962 ml - P) + 250ml = 12*(P - 250ml)

Now we can solve this for P.

962 ml + 250 ml - P = 12*P - 12*250 ml

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1,212  ml + 3,000 ml = 12*P - P

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So the pail originally contained 382.9 ml

If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904

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