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omeli [17]
3 years ago
12

When a volcano​ erupts, the height of the peak is reduced and the upper portion is removed. The height of a volcano after it eru

pted was​ 8,219.5 feet. This was​ 85% of the​ volcano's original height. What was the original​ height?
(answer this and show your work please thank you)
The original height was _answer this_ feet.

please help me with this thank you
Mathematics
1 answer:
ANTONII [103]3 years ago
4 0

Answer:

9670 feet

Step-by-step explanation:

The height given (8219.5 ft) is 85% OF ORIGINAL, hence original is much higher. But how do we figure this out?

we translate word problem to equation.

8219.5 IS 85% of TOTAL

Firstly, 85% = 85/100 = 0.85

Remember, is means =

of means multiplication

So we have:

8219.5 = 0.85 * Total

Hence, total = [let total be 7]

8219.5 = 0.85 * t

t = 8219.5/0.85 = 9670 feet

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Answer:

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3 years ago
Solve the system of equations 4x+5y=-1 and -5x-8y=10 by combining the equations.
Flura [38]

The solutions to the given system of equations are x = 6 and y = -5

<h3>Simultaneous linear equations</h3>

From the question, we are to solve the given system of equations

The given system of equation is

4x+5y=-1

-5x-8y=10

Multiply the <u>first equation</u> by 5 and the <u>second equation</u> by 4

5× (4x+5y=-1)

4× (-5x-8y=10)

20x + 25y = -5

-20x - 32y = 40

------------------------

0x + (-7y) = 35

-7y = 35

y = 35/-7

y = -5

Substitute the value of y into the first equation to find x

4x + 5y = -1

4x + 5(-5) = -1

4x -25 = -1

4x = -1 +25

4x = 24

x = 24/4

x = 6

Hence, the solutions to the given system of equations are x = 6 and y = -5

Learn more on Simultaneous linear equation here: brainly.com/question/12647791

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Please answer this thank you
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The answer is on the bottom. Hope this helps.
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Step-by-step explanation:

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