A large pool has a faucet to allow water to enter the pool and a drain to allow water to leave the pool.

Each minute, the faucet allows 1215 gallons of water to enter the pool, and the drain allows 1523 gallons to leave the pool.

What is the change in the amount of water in the pool after 112 minutes?


Enter your answer as a simplified mixed number by filling in the boxes. FRACTION PROBLEM

Answer:

(b) 729

Step-by-step explanation:

9 × 9 × 9 = 9^3 = 729

Thus, 9 is the cube root of 729

Answer: 11/9

Step-by-step explanation:

First, convert two to 18/9. This is still equal to two but this makes it easier to answer the problem, because both of the terms have the same denominator. Now, since both of them have the same denominator, all you need to do is subtract the numerators, and put that over the denominator of 9. 18-7=11. So the answer is 11/9. This is an improper fraction, though you could also make it into a mixed number: 1 and 2/9.

Answer:

11/9

Step-by-step explanation:

Add a one under the 2. So that it becomes 2/1. Now you have the expression, 2/1 - 7/9. To subtract fractions, you need the denominators of the two fractions to be the same. We can put 9 as the common denominator. All you have to do in order for 2/1 to have 9 as its denominator, is to multiply 9 for both the numerator and denominator; 2/1 x 9/9 = 18/9. After that, your new expression would be 18/9 7/9. Just subtract across, 18 - 7 = 11, keep the denominator 9. The answer should be 11/9

Answer:

Answer is C.

Step-by-step explanation:

Using the compound interest formula, the amount of money in the man's bank account in the second year is $100352

The compound interest relationship is computed using the relation :

Plugging the values into the formula :

Final amount = 80000(1 + 12%)²

Final amount = 80000(1 + 0.12)²

Final amount = 80000(1.12)²

Final amount = $100352

Therefore, the final amount in the second year is $100352

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Answer:

acoording to the picture given, it is possible be cause there is a multiplication operation before the parenthesis.

Step-by-step explanation:

distribut the 3 to each number in the parenthesis:

(3 * 8) + (3 * 4) = 24 + 12 = 36

Answer:

Step-by-step explanation:

1. There are infinite number of lines going from only one point (2, 5)

2. This is a proportional relationship, since line passes through the origin. The slope is -3.

The line B is:

3. Points (-3, -2) and (3, 10)

The slope:

The y - intercept:

The line C is:

4. The rate of change is m = 2.5

The y- intercept:

The line D is:

5. Line E has a slope of 4, no sufficient info to conclude.

6. Line F has m = -3/4 and passes through (8, -1).

The y -intercept is:

The line F is:

7. G is not a linear relationship as the function increases exponentially with common ratio of 3.

Answer:

D) 6.48 x 10⁻³

Step-by-step explanation:

to get an exponent of -3 means you move the decimal point three spaces to the right

2) 8,300,000

3) 970,000

4) 5.01 x 10⁻²  (picture)         5.01 x 10⁻¹ (question)

5) 0.000499

[tex]\large y=\dfrac{1}{2} x-{\boldsymbol5}^{\sf /y -intersept} \\\\ \rm Answer : B)-5[/tex]

Answer:

4,287 x 6 = 25,722

.......

Answer:

8/27 ft cubed

Step-by-step explanation:

2/3 cubed = 8/27

8/27 ft cubed

Answer:

67/5

Step-by-step explanation:

17 1/5

17x5= 85 + 1= 86/5

3 4/5

3x5=15+4= 19/5

86/5 - 19/5=

86-19= 67/5

hope this helps!

Answer:

40%

Step-by-step explanation:

2/5 = 40/100 or 40%

Answer:

B.

Step-by-step explanation:

Exponential graphs means that it starts to go up slowly but then goes up faster. A is going down, so that's wrong since the graph needs to go up. The correct answer is B.

Answer:

4.00 pls give brainliest

Step-by-step explanation:

Hello turkshcutie11!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Find the value of x.

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

It's given that the triangle in the figure is a right triangle (a triangle with one angle as 90°). So, we can use the pythagoras property to solve this question.

__________________

Given sides :-

__________________

Using pythagoras property...

Hypotenuse ² = Base² + Altitude ²

x² = 5² + 3²

x² = 25 + 9

x² = 34

x = √34

x = 5.83 units (1st option).

__________________

Hope it'll help you!

ℓu¢αzz ッ

Answer:

Step-by-step explanation:

If divided: 0.38461538461

If percent: 38.4615%.

Brainliest rn:D

The odds of winning the game is [tex]\frac{8}{13}[/tex].

Probability is the measure of happening and non-happening of the outcomes of a random experiment.

The sum of all the probabilities of all the elementary events of an experiment is always 1.

According to the given question.

We have

The probability of losing the game is [tex]\frac{5}{13}[/tex]

Since, we know that the sum of all the probabilities of all elementary events of an experiment is always 1.

Therefore,

Probability of winning the game + Probability of losing the game = 1

⇒ Probability of winning the game + [tex]\frac{5}{13} =1[/tex]

⇒ Probability of winning the game = [tex]1 - \frac{5}{13}[/tex]

⇒ Probability of winning the game = [tex]\frac{13-5}{13}[/tex]

⇒ Probability of winning the game = [tex]\frac{8}{13}[/tex]

Hence, the odds of winning the game is [tex]\frac{8}{13}[/tex].

Find out more information about sum of all the probabilities of an event here:

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Answer:

95

Step-by-step explanation:

For average you just add all the numbers together and divide by how many numbers there are.

88+95+97+100=380

380÷4=95

The average of the given data is 95.

Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.

Given that Jenny's test grades are 88, 95, 97, and 100. The average of the numbers will be calculated by adding all the numbers and dividing it by the total count of the numbers.

For average you just add all the numbers together and divide by how many numbers there are.

Average = ( 88+95+97+100 ) / 4

Average = 380 / 4

Average = 95

Therefore, the average of the given data is 95.

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Answer:

x = 250

Step-by-step explanation:

Answer:

y = -7

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer: Its 10, so plot it on 10 in the number line

Step-by-step explanation: Since the subtraction signs cancel out, they make a addition sign. Henceforth its " 3+5+2" which would mean the sum is 10.

Answer:

[tex]15 \times 2.205 = 33.0693 \: lb[/tex]

Unit conversion is a way of converting some common units into another without changing their real value. The Weight of Jackson's backpack is 33.075 pounds.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

Since 1 kg is equal to 2.205 pounds. Therefore, the Weight of Jackson's backpack is,

15 kg = 2.205 × 15 kg = 33.075 pounds

Hence, the Weight of Jackson's backpack is 33.075 pounds.

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Answer:

(x+12) (x+2)

x(x+12)+2(x+12)

x^2+12x+2x+24

x^2+14x+24

Step-by-step explanation:

Answer:

f(x) = x² + 14x + 24

Step-by-step explanation:

Given the zeros of -12 and -2, then it means that:

x + 12 = 0 and x + 2 = 0

As a proof, if you isolate x, you'll end up with the given values:

x + 12 - 12 = 0 - 12

x = -12

x + 2 - 2 = 0 - 2

x = -2

In terms of using these values into the quadratic function:

(x + 12) (x + 2)

Perform the FOIL method in order to find the quadratic function:

(x + 12) (x + 2)  

f(x) = x² + 2x + 12x + 24

f(x) = x² + 14x + 24   ⇒ This is the quadratic function, given the zeros as x = -12, and x = -2.

Answer:A

Step-by-step explanation:por que se calcula correctamente

4

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Answer:

x=18

Step-by-step explanation:

since x+24 is in parenthesis, we need to distribute 1/2 to all the parts inside the parenthesis.

1/2 * x = 1/2x

1/2 * 24= 12

1/2x+12=21

subtract 12 from both sides

1/2x= 9

divide 1/2 from both sides

x=18

so your answer would be x=18

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\frac{1}{2}(x+24)=21 \rightarrow \frac{1}{2}x + 12 = 21\\\\x = 18[/tex]

»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\frac{1}{2}(x+24) = 21\\\rule{150}{0.5}\\\\\rightarrow \frac{1}{2}*x = \frac{1}{2} \\\\\rightarrow \frac{1}{2} * 24 = 12\\\\\rightarrow \frac{1}{2}x + 12 = 21\\\\\rightarrow \frac{1}{2}x + 12 - 12 = 21 - 12\\\\\rightarrow \frac{1}{2}x = 9\\\\\rightarrow (\frac{1}{2}x)2 = 9 * 2\\\\\rightarrow\boxed{x = 18}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

B

Step-by-step explanation:

taking test rn ill say if its correct when i finish

Answer:

C reflection over y=x-1 (x+0y-4)

Step-by-step explanation:

Just got it right on the test

Answer:

15 hours

Step-by-step explanation:

Answer: a population

Step-by-step explanation:

Step-by-step explanation:

I think your answer is Population

Answer:

1st figure out how many feet in 1 yard

Then you can take that number <x>

X x 5

Step-by-step explanation:

Answer:

1.67 yards or 5/3

Step-by-step explanation:

I just looked it up