Mathematics Middle School

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

Answers

Answer 1

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

Related Questions

Sarah thinks that the
following expressions are
equivalent:
2x + 3 = x/2+ 3/4
Is she right? If so, prove
that these two expressions
are equivalent. If not, what
error(s) did she make?

Answers

No they are not correct, 3/4 is not equal to 3
No Sarah is not correct. If you replace x with 1, the first equation would equal 5, but the second equation would equal 1. In addition, when she tried to do the inverse operation, she did the inverse operation on the factors, not the operation.

Kevin went to see his favorite sports team play. His car can go 400 miles on one tank of gas. If he used 30% of a full tank of​ gas, how many miles did he travel?

(answer this and show your work)
Kevin traveled _answer here_ miles.
​(Type an integer or a​ decimal.)

Answers

Answer: 120

120

Step-by-step explanation:

I honestly can’t explain but I think you have to do this (actually I did the work so I’m right)

P/w = part/whole = ?/400

%/100= percent/100 = 30%/100

These numbers are equivalent

If you don’t understand the top then here is how to do the work-

400x30=12000

12000/100=120

Therefore it’s 120

please help! i’m having a rough time on this, could someone answer this question?

Answers

Answer:

y= -18

a= -18

Step-by-step explanation:

2y+3 = 3(y+7)

2y+3=3y+21

     -21     -21

2y-18=3y

-2y      -2y

-18=y

Is the table above proportional or non-proportional?

Answers

Answer: I think you should divide them all and if you get the same answer it’s proportional if you don’t get the same answer it’s non-proportional

Step-by-step explanation:

Answer:

It is non-proportional.

Step-by-step explanation:

The table is non-proportional because it expresses a curved line instead of a straight line.

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