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Brrunno [24]
3 years ago
7

PLEASE HELP!!!! The problem is in the photo below.

Mathematics
1 answer:
Sergio039 [100]3 years ago
8 0

Answer:

A is correct.

Step-by-step explanation:

Here, the x would represent the gallons per minute. The minutes are unknown, so it's just a variable. It can't be B either, because the addition sign would mean that the pool is being filled instead of drained.

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A water balloon has a diameter of 6 inches. How many cubic inches of water does it contain when it is 3/4 full
Travka [436]
Below are the choices that can be found from other sources:

A) 36 pi 
<span>B) 6 pi </span>
<span>C) 27 pi </span>
<span>D) 216 pi </span>
<span>E) 48 pi
</span>
A sphere's volume is (4/3)*pi*r^3. 
<span>The diameter of the balloon is 6 inches. The diameter is twice the radius. The radius is 3 inches. </span>

<span>(4/3)*pi*3^3 = 36 * pi </span>

<span>But the balloon is only 3/4 full. So </span>

<span>36 * (3/4) * pi = 27 * pi. </span>

<span>The balloon has 27 pi cubic inches of water.</span>
7 0
3 years ago
You roll a number cube two times. How many outcomes are possible? Please explain work.
MArishka [77]

Answer:

there will be about less times than the cube earns!

Step-by-step explanation:

6 0
3 years ago
A leprechaun places a magic penny under a girl's pillow. The next night there are 2 magic pennies under her pillow. The followin
dezoksy [38]

Answer:

<u><em></em></u>

  • <u><em>32 days</em></u>

Explanation:

Simulate (build a table) the growing of the number of pennies for some nights to figure out the pattern:

First night:          1 penny = 2⁰

Second night:    1 × 2 pennies = 2¹

Third night:        2 × 2 = 2²

Fourth nigth:      2² × 2 = 2³

nth night:           2ⁿ⁻¹

You want 2ⁿ⁻¹ ≥ 2,000,000,000

Which you solve in this way:

  • 2ⁿ⁻¹  ≥ 2,000,000,000

  • 2ⁿ⁻¹ ≥ 2,000,000,000

  • n-1 log (2)  ≥ log (2,000,000,000)

  • n - 1  ≥ log (2,000,000,000) / log (2)

  • n - 1 ≥ 30.9

  • n ≥ 31.9

Since n is number of days, it is an integer number, so n ≥ 32.

Hence, she will have a total of more than $ 2 billion after 32 days.

You can prove that by calculating 2³² = 2,147,483,648.

5 0
3 years ago
A probability that is computed with the knowledge of additional information is called
marin [14]

Step-by-step explanation:

according to me it's conditional probability

8 0
2 years ago
Read 2 more answers
Write the equation of a line that is perpendicular to the given line and that passes through the given point. y=2/3x+9;(-6,5)
STatiana [176]

The perpendicular equation is y = -3/2x - 4.

You can find this by first realizing that perpendicular lines have opposite and reciprocal slopes. So since it starts at 2/3 we flip it and make it a negative and the new slope is -3/2. Now we can use that and the point to get the y intercept using slope intercept form.

y = mx + b

5 = (-3/2)(-6) + b

5 = 9 + b

-4 = b

And now we can use our new slope and new intercept to model the equation.

y = -3/2x - 4

7 0
3 years ago
Read 2 more answers
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