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 10 3/4 gallons of water to enter the pool, and the drain allows 12 1/3 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.

Answers

Answer 1

The change in the amount of water in the pool is the difference between the amount of water that enters and leaves the pool

Change in volume of water in the pool after 112 minutes is [tex]\underline{-117\frac{1}{3}}[/tex] gallons

Reason:

The given parameters are;

The volume volume of entering the pool = 10 3/4 gallons per minute

The volume of water leaving the pool = 12 1/3 gallons per minute

Required:

The change in the amount of water in the pool after 112 minute

Solution:

The volume of water, V₁, that enters the pool in 112 minute is given as follows;

V₁ = 10 3/4 × 112 = 1,204

The volume of water, that enters the pool, V₁ = 1,204 gallons

The volume of water, V₂, that  leaves the pool in 112 minute is given as follows;

V₂ = 12 1/3 × 112 = 1,381[tex].\overline 3[/tex]

The volume of water, that that leaves the pool, V₂ = 1,381[tex].\overline 3[/tex] gallons

The change in the amount of water in the pool after 112 minutes, ΔV, is given as follows;

ΔV = V₁ - V₂

ΔV = 1,204 - 1,381[tex].\overline 3[/tex] = -177[tex].\overline 3[/tex] = -(117 1/3)

Change in volume of water in the pool after 112 minutes, ΔV = [tex]\underline{-117\frac{1}{3}}[/tex] gallons

Learn more here:

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Related Questions

the coordinates of the points A and B are (0,-2) and (3,0), what is the y intercept of the line AB

Answers

Answer:

The y-intercept of points A and B is -2.

Step-by-step explanation:

Point A is the y-intercept. You can tell by looking at the x and seeing that it is 0. This means the point is the y-intercept.

Hope this helps!

-Luna

Answer:

-2

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis). To solve this question, first, find the slope, then, plug one of the given points into the equation to isolate b.

1) Find the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (0,-2) and (3,0)

[tex]m=\frac{0-(-2)}{3-0}\\m=\frac{0+2}{3}\\m=\frac{2}{3}[/tex]

Therefore, the slope of of the line is [tex]\frac{2}{3}[/tex]. Plug this into  [tex]y=mx+b[/tex] as m:

[tex]y=\frac{2}{3} x+b[/tex]

2) Find the y-intercept (b)

[tex]y=\frac{2}{3} x+b[/tex]

Plug in one of the given points: (0,-2) or (3,0)

[tex]0=\frac{2}{3} (3)+b\\0=2+b\\b=-2[/tex]

Therefore, the y-intercept of the line AB is -2.

I hope this helps!

You have a poster that is 5 feet by 3 feet. You want to put a frame, with a uniform width, around the picture. The poster and the frame must have an area of 24 square feet. Find the width of the frame.

Answers

Please don't give me credit, but I want to say that;

1. You need a picture attached to this

2. Make sure you add if 5 feet is the length or width, in addition to the 3 feet

3. The width can't be a negative value, so eliminate the negative answers

4. For the second answer, why is there a coma preceding another value? The width can can only be one value

You can add all these elements

Hoped this helped!

what is the value of x? 26 degrees tangent lines

Answers

Answer:

154°

Step-by-step explanation:

The central angle and the angle between the tangents are supplementary, so

x + 26° = 180° ( subtract 26° from both sides )

26 - 26 = 0

180 - 26 = 154

x = 154°

The value of the x will be 154°.

How to find the interior central angle?

The central angle and the angle between the tangents are supplementary.

If there is a circle O with tangent line L intersecting the circle at point A, then the radius OA is perpendicular to line L.

So,

x + 26° = 180°

Subtract 26° from both sides;

x + 26 - 26 =  180 - 26

x = 154°

Hence, the value of the x will be 154°.

Learn more about tangents ;

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The following table is from rolling a six sided die 120 times.
Roll 1 2 3 4 5 6
Frequency 15 18 20 17 24 26
What is the experimental probability of rolling anything other than a 2?

Answers

Answer: did you ever get the answer ?

Step-by-step explanation:

I had 3 apples. I add 2 more apples. How many apples do I have?

Answers

Answer:

5 lol

Step-by-step explanation:

Answer:

5 im so smart :)

Step-by-step explanation:

9y - 2x = 0 in slope intercept form.

Answers

Answer:

y=2/9x

Step-by-step explanation:

I hope this helps

Step-by-step explanation:

9y-2x=0

9y=2x

y=(2/9)x

write the sentence as an equation. 153 added to n is the same as 143

Answers

Answer:

10

Step-by-step explanation:

153 - 143 = 10 (I'm not sure if this helped)

Answer:

n + 153 = 143

Step-by-step explanation:

In this sentence, we can use the keywords used to find the operations used in  its equation form. The first part has the words "added to." This tells us we need to add. So, on one side of the equation, we have n plus 153. This is the same as, or equal to, 143.

n plus 153 is equal to 143.

n + 153 = 143

The answer is n + 153 = 143.

Good luck ^^

A lighthouse has a shadow that is 36 feet long. Zara is 4 feet tall, and she is standing next to the lighthouse. Zara has a shadow that is 3 feet long. Use this information to complete the statement about the lighthouse. Lighthouse has height of question mark feet; shadow is 36 feet. Both form right triangle. Man is 4 feet; his shadow, 3 feet. Man and shadow form corresponding right triangle. what is the height of the light house

Answers

Answer:

Explanation:

Identify the place of the
3
in 24.936

Answers

Answer:

hundredths place

Step-by-step explanation:

When using decimals we determine by

Tens,ones.Hundredths,Thousandths, etc

Answer:

Hundredths Place

Step-by-step explanation:

I need this done thanks!

Answers

Step-by-step explanation:

Median= n+1/2 ( if n is even )

So,

10+1/2=11/2=5.5

Therefore,

135 is your second answer

Spread of the data = in the above mentioned picture the wave given to find the spread of the data

Hope it helps


A triangle has an area of 152.72 square feet and a height of 18.4 feet. What is the length of
the base?

Answers

Answer:

16.6

Step-by-step explanation:

152.72X2=305.44

305.44/18.4=16.6

TRAINGLE AREA FORMULA IS BH/1/2 SO BASE X HIEGHT DIVIDED BY 2=AREA

What are the slope and y-intercept of the graph
of the linear function shown of the
graph?
a. Slope = 13,
y-intercept = -4
b. Slope = 14,
y-intercept = 2
c. Slope = 2,
V-intercept = 2

Answers

The answer is C. Like cross the y axis at (0,2), and the slope is also 2

3
A ABC and point E are shown in the diagram below. Determine a possible location of point D to make
ABC. CDE

Answers

Answer:

Step-by-step explanation:

Choose all of the expressions that are equal to 1,024.

a. 4 × 4 × 4 × 4 × 4
b.5 × 5 × 5 × 5
c.4/5
d.5/4
.e2/10

Answers

The only one that gives 1024 is A.

can someone get me the moderator eric's profile link? thanks.
but also I have a math question.
Approximate: log 1/2 5
[tex]log_{1/2} 5[/tex]

2.3219

–0.4307

–2.3219

0.4307

IT'S C

Answers

Answer:log1/25=-2.32193

Step-by-step explanation:

Given : Expression log1/25

To find : The solution of the given expression?

Solution:

We have given expression log1/25

If you want me to show my work tell me but it is a long process so yeh but the answer is -2.32193.

Answer:

-2.32193

Step-by-step explanation:

Applying logarithmic property:

[tex]log_ba=\frac{log_ea}{log_eb}=\frac{In\;a}{In\;b}[/tex]

Solve:

[tex]log_\frac{1}{2}5=\frac{In(5)}{In\;\frac{1}{2}}[/tex]

[tex]\frac{In(5)}{In\;\frac{1}{2}}=\frac{1.60943}{-0.69315}[/tex]

[tex]\frac{In(5)}{In\frac{1}{2}}=-2.32193[/tex]

Hence, answer = -2.32193

Eric's Profile Link ⇒ https://brainly.com/app/profile/13095222/answers

~Lenvy~

PLS HELP KK

What is the Surface Area Formula for a Rectangular Prism with a 8 length, 7 width and 4 height

1. SA= 2(8+7) + 2(7+4) + 2(8+4)

2. SA= 2(8+8) + 2(7+7) + 2(4+4)

3. SA= 2(8x7) + 2(7x4) + 2(8x4)

4. SA= 2(8x8) + 2(7x7) + 2(4x4)

no absurd answers, ty.

Answers

The answer is option 3.

brainiest goes to correct answer

Answers

Answer:

2960

Step-by-step explanation:

360 x 20 = 7200

212 x 20 = 4240

7200-4240 = 2960

Jack pasted 2 leaves on each picture he made. He used 6 in all. How many pictures did jack made?

Answers

Answer:

Jack made 3

Step-by-step explanation:

You know why? The reason is he pastes 2 for each picture and he used all 6 so what is 2*3= 6 So that concludes that he made 3 pictures

Answer: 3 pictures

Step by Step: If he pasted 2 leaves on each picture and he used a total of 6 leaves counting by 2 he made 3 pictures.

The sum of the length and width of a rectangle is more than 15 units. The length is 3 units more than the width, x. Which model and solution is correct for this situation?

Answers

Answer: [tex]6, 9\ \text{units}[/tex]

Step-by-step explanation:

Given

The Sum of length and width is [tex]15\ units[/tex]

length is 3 units more than the width

width is [tex]x[/tex]

length is [tex]x+3[/tex]

Their sum is 15

[tex]\Rightarrow x+x+3=15\\\Rightarrow 2x=12\\\Rightarrow x=6\ \text{units}[/tex]

Length is [tex]x+3=9\ \text{units}[/tex]

Width is  [tex]x=6\ \text{units}[/tex]

BOTH QUESTIONS!!!! 15 POINTS ‼️‼️‼️‼️

Answers

Answer:

Y=-3x+5

Step-by-step explanation:

The first one i dont know srry

Also I need part b on this one

Answers

Answer:

there is nothing here but thanks for the points

Step-by-step explanation:

Have a great rest of your day/night!

the ratio of dog to cats in the shelter was 4 to 6 if there were 12 cats how many dogs would there be

Answers

Answer:

8 dogs

Step-by-step explanation:

If there were 6 cats, there would be 4 dogs. Since there is double that amount of cats, then we just double the amount of dogs from 4 to 8, our final answer.

I would appreciate Brainliest but no worries.

The vertices of triangle ABC are A(−2, 3), B(4, 3), and C(−2, −4). The triangle is dilated with a scale factor of 2. Estimate the perimeter of the dilated figure to the nearest whole number.

Answers

Answer:

Use dynamic geometry software to draw any triangle and label it △ABC. a. Dilate △ABC using a scale factor of 2 and a center of dilation at the origin to form ... the scale factor is k = 3. —. 2 . So, the dilation is an enlargement. b. Because. CP′ ... Graph △ABC with vertices A(2, 1), B(4, 1), and C(4, −1) and its image after a.

Step-by-step explanation:

6th grade math help me plzzzzzz

Answers

Answer:

your answer will be 9x

Step-by-step explanation:

have a good day

I'VE BEEN ASKING THIS FOR A LONG TIME PLEASE I WILL MARK BRINLIEST! I acciently clicked a random answer, but i do not know if its the answer.

Answers

Answer:

1/3 :)

Step-by-step explanation:

A :3










REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Quadrilateral A B C D is the image of a quadrilateral ABCD under a rotation about point P
Determine the angle of the rotation
-105
-75
75
105

Answers

Answer:

D. 105°

Step-by-step explanation:

If we connect points C and C' with the center of rotation P, the angle CPC' appears greater than 90°, so the angle could be 105° or - 105°

Since the rotation is counterclockwise the angle of rotation is deemed as positive.

Correct choice is D.

A map represents every 5 miles with 1 centimeter. If two cities are 45 centimeters apart on the map, what is the actual distance between the two cities?​

Answers

Answer:

225 miles

Step-by-step explanation: I like your name LOL

Can someone help me ASAP please

Answers

Answer:

x = 10.3

y = 5.8

Step-by-step explanation:

To find both x and y, you can use the formula [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

a and b would be the sides that touch the right angle

so to find x, you would do [tex]9^{2}[/tex] + [tex]5^{2}[/tex] = [tex]x^{2}[/tex]

this would be: 81 + 25 = [tex]x^{2}[/tex]

then add it and you get: 106 = [tex]x^{2}[/tex]

now do the square root of 106 to get: 10.3 = x

Now plug in your other values to get y: [tex]5^{2}[/tex] + [tex]3^{2}[/tex] = [tex]y^{2}[/tex]

do the same thing here: 25 + 9 = [tex]y^{2}[/tex]

add your numbers: 34 = [tex]y^{2}[/tex]

square root 34: 5.8 = y

A CD usually sells for $14.00. If the CD is 20% off, and sales tax is 7%, what is the total price of the CD, including tax?

Answers

Answer:

the total price of the CD including tax is $11.984

Step-by-step explanation:

The computation of the total price of the CD including tax is shown below:

The Selling price of the CD is $14

CD is 20% off

And, the sales tax rate is 7%

So, the total price of the CD is

= ($14 - $14 × 20%) × (1.07)

= $11.2 × 1.07

= $11.984

Hence, the total price of the CD including tax is $11.984

Can anyone help me with this geometry test please like I will do anything!! I will give brainlist!!


Also NO links!!

Answers

Answer:

It c

Step-by-step explanation:

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