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Sladkaya [172]
3 years ago
8

The quotient of 9 and a number added to 30 is 33

Mathematics
2 answers:
Ipatiy [6.2K]3 years ago
5 0

Answer: 3

Step-by-step explanation:

If you subtract 33 by 30, you get 3. So, if you can divide 9 by 3 and you get the same answer, 3, 3 is your quotient of 9.

kondor19780726 [428]3 years ago
3 0

Answer:

The number is 27

Step-by-step explanation:

<u>Step 1:  Convert words into an expression</u>

The quotient of 9 and a number added to 30 is 33

30 + (n / 9) = 33

<u>Step 2:  Subtract both sides by 30</u>

30 + (n/9) - 30 = 33 - 30

n/9 = 3

<u>Step 3:  Multiply both sides by 9</u>

n/9 * 9 = 3 * 9

<em>n = 27</em>

<em />

Answer:  The number is 27

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Suppose that two people standing 2 miles apart both see the burst from a fireworks display. After a period of​ time, the first p
Usimov [2.4K]

Answer: approximately 5148 feet directly north of point A

This is equivalent to 0.975 miles

==============================================================

Explanation:

Check out figure 1 (attached image below) to see how the drawing is set up.

Points A and B are separated by 2 miles, or 10560 feet. Use the conversion factor 1 mile = 5280 feet.

Because sound travels at roughly 1100 feet per second (assuming all of the conditions are right), this means that after x seconds, the sound wave has traveled a total distance of 1100x feet. This is the distance from A to C. Point C is the firework location.

The distance from B to C is 1100(x+6) feet because it takes 6 more seconds for the soundwave to travel from C to B, compared from C to A.

Note that triangle ABC is a right triangle. The 90 degree angle is at point A.

We can use the pythagorean theorem to solve for x

See figure 2 in the attached images to see the steps on solving for x. The numbers get quite big, though in the end x is fairly small. We end up with x = 4.68, which is approximate due to the 1100 figure being approximate.

This means the sound wave takes about 4.68 seconds to go from point C to point A.

With this x value, we can compute the expression 1100x to get

1100*x = 1100*4.68 = 5,148 feet

To convert this to miles, divide by 5280

(5148)/(5280) = 0.975

Therefore,

5148 feet = 0.975 miles

6 0
3 years ago
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Answer:

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