A rectangular swimming pool has a volume capacity of 2160 cubic feet. Water is being added to the pool at a rate of about 20 cubic feet per minute. Determine about how long it will take to fill the pool completely if there were already about 1200 gallons of water in the pool.

Answers

Answer 1

Answer:

Step-by-step explanation:

y=mx+b

2160=20x+60.417)

2160= 20x+160.417

2160-160.417=20x+160.417-160.417

1999.583=20x

1999.583/20=20x/20

x= 99.98 min

Answer 2

Total time taken to fill the pool is 100 minutes

Given:

Amount of water already in pool = 1200 gallon

Total capacity of pool = 2160 cubic feet

Rate of water supply = 20 cubic feet per minute

Find:

Total time taken to fill the pool

Computation:

1 cubic feet = 7.5 gallon water

Amount of water already in pool = 1200 / 7.5

Amount of water already in pool = 160 cubic feet

Remain volume = 2160 - 160

Remain volume = 2000 cubic feet

Total time taken to fill the pool = 2000 / 20

Total time taken to fill the pool = 100 minutes

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Related Questions

Please help! XD??????????????

Answers

Each banner uses 40/9 4 4/9 so 40/9 = 4/40 Making the whole number of 4 and 5. I hope I helped. It’s a little hard to explain.

Answer:

40/9 4 4/9 so 40/9 = 4/40 Making the whole number of 4 and 5

Step-by-step explanation:

what is the equation of the perpendicular to y=2/3x+1 that passes through the point (12,-6)

Answers

well, first off let's check what is the slope of y = 2/3x+1.... .hmmmmm, notice    [tex]\bf y=\stackrel{slope}{\cfrac{2}{3}}x+1[/tex]  , since the equation is already in slope-intercept form, we can see it has a slope of 2/3.

well then, a line perpendicular to that one, will have a negative reciprocal to it.

[tex]\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad \cfrac{2}{3}\\\\ slope=\cfrac{2}{{{ 3}}}\qquad negative\implies -\cfrac{2}{{{ 3}}}\qquad reciprocal\implies - \cfrac{{{ 3}}}{2}[/tex]

so, we're really looking for the equation of a line whose slope is -3/2 and goes through 12, -6.

 [tex]\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ 12}}\quad ,&{{ -6}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies -\cfrac{3}{2} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-6)=-\cfrac{3}{2}(x-12) \\\\\\ y+6=-\cfrac{3}{2}x+18\implies y=-\cfrac{3}{2}x+12[/tex]

The length of a rectangle is 5 m less than double the width, and the area of the rectangle is 33 m^2 . Find the dimensions of the rectangle.

Please help ASAP!

Answers

A = Lw = 33m^2
(2w-5)w = 33
2w^2 - 5w - 33 = 0, w = 5.5m and L = 6
I think







A = L * W
A = 33
L = 2W - 5

33 = W(2W - 5)
33 = 2W^2 - 5W
-2W^2 + 5W + 33 = 0
(-2W + 11)(W + 3) = 0

-2W + 11 = 0
-2W = -11
W = -11/-2
W = 11/2 or 5.5

W + 3 = 0
W = -3.....not this one because it is negative

L = 2W - 5
L = 2(5.5) - 5
L = 11 - 5
L = 6

the dimensions are : length = 6 m and width = 5.5 m <==

Using the numbers 8, 4, 6, and 2 what combination equals 16, ONLY USING THE NUMBERS ONCE, but you can do any operation such as - + ÷ and x

Answers

(8÷4+6)2
Eight divided by four equals two. 
Two plus six is eight. 
Eight multiplied by two is sixteen. 
That would be 8+4+6-2 = 16

give a verbal explanation that explains how these three numbers are related

Answers

they all relate by making 816:3 

they all relate by making 816:3  

Answer:

Step-by-step explanation:

Alice wants to use her savings ($48.40) to buy concert tickets that cost $17.50 each. how many tickets can she buy?

Answers

so u divide 48.40 by 17.50 to get 2.77 but u cant buy a fraction of a ticket so she can buy 2

. A firm produces a commodity and receives $100 for each unit sold. The cost of producing and selling x units is 20x + 0.25x 2 dollars. (a) Find the production level which maximizes profit. (in other words, find the x that maximizes profit) (b) A tax of $10 per unit is imposed on the firm. What is the new optimum production level?

Answers

so for each unit they get $100, so if they sell "x" units, they intake 100x, that's just the gross income, and therefore the Revenue.

Now, they have a cost of 20x + 0.25x² if they "x" units, now, bearing in mind that if you pluck out the costs out of the incoming revenue, what's leftover, is a surplus amount, namely the Profit.  Therefore, profit p(x) = revenue - costs, or  100x - (20x + 0.25x²), which is p(x) = -0.25x² +80x.

a)
now, what's the highest profit they can make?  check the picture below.

[tex]\bf p(x)=-0.25x^2+80x\\\\ -------------------------------\\\\ \textit{ vertex of a vertical parabola, using coefficients}\\\\ \begin{array}{lcclll} p(x) = &{{ -0.25}}x^2&{{ +80}}x&{{ +0}}\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array}\qquad \left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right) \\\\\\ \left( -\cfrac{80}{-0.50}~,~0-\cfrac{80^2}{-1} \right)\implies \left( \stackrel{\textit{quantity}}{160}~,~\stackrel{\textit{profit value}}{6400} \right)[/tex]

b)

well, if a tax is imposed on them, and say, they take it out of the revenue, then their new revenue is not 100x, is 90x, thus   [tex]\bf p(x)=-0.25x^2+70x[/tex]

and you can use the same formula as above to get the x-coordinate for that vertex.

[tex]\bf p(x)=-0.25x^2+70x\\\\ -------------------------------\\\\ \textit{ vertex of a vertical parabola, using coefficients}\\\\ \begin{array}{lcclll} p(x) = &{{ -0.25}}x^2&{{ +70}}x&{{ +0}}\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array}\qquad \left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right) \\\\\\ \left( -\cfrac{70}{-0.50}~,~0-\cfrac{70^2}{-1} \right)[/tex]

Suppose that we have the least squares regression line y = 3 + 2x and that the sum of the squares of the errors (sse) for this line is 13,712. what can be said about the sum of the squares of the errors (sse) for this data set and the line y = 3 + 2.5x?

Answers

Final answer:

The question involves linear regression and the sum of squared errors (SSE), which quantify the total deviation of the response values from the fitted line. If y=3 + 2x is the best-fit line, then the SSE for the line y=3 + 2.5x would be greater than 13,712.

Explanation:

The question involves the concept of linear regression and the sum of squared errors (SSE). The SSE of a regression line is quantified by the difference between the observed and predicted values of the dependent variable, each squared and added together. These show how well the regression line fits the data.

In the context of this question, you're given the SSE for the line y = 3 + 2x. However, you're asked about the SSE for the line y = 3 + 2.5x. Since the slope of this new line is steeper, the predicted y-values will be different from those from the original line and generally farther from the actual data points. Therefore, it can be said that if the line y = 3 + 2x is the best-fit line, then the SSE for the line y = 3 + 2.5x would be greater than 13,712.

Error in prediction is generally greater when we move away from the least-squares regression line. Thus the SSE provides a quantifiable way to determine the line that best fits the data.

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Solve the formula M = 2P + 3Q for the variable Q.

Answers

To solve for the formula Q, simply rearrange the variables and factor the appropriate number.

M = 2P + 3Q

M - 2P = 3Q

(M - 2P)/3 = Q.

Put these fraction from least to greatest: 4/9 2/9 8/9 1/9

Answers

go by the top number since they already have a common denominator..

least to greatest : 1/9, 2/9, 4/9, 8/9

First right answer gets brainliest

Answers

Problem:
find line perpendicular to 4x+7y+3=0 passing through (-2,1).

Solution:
We will first find the general form of the perpendicular line.
The perpendicular line has the form
7x-4y+k=0 .........................(1)
by switching the coefficients of x and y, and switching the sign of one of the two coefficients.  This way, the slope of (1) multiplied by that of the original equation is -1, a condition that the two lines are perpendicular. The value of k is to be determined from the given point (-2,1).

To find k, we substitute x=-2, y=1 into equation (1) and solve for k.
7(-2)-4(1)+k=0
=>
k=14+4=18
Therefore the required line is
7x-4y+18=0

If you know the slope of a line and a point the line passes through, you can find the equation of the line using the formula:

y - y_1 = m(x - x_1)

You are given a point the line passes through, (-2, 1).
Now you need to slope of your line.
You are given the equation of a line that your line is perpendicular to.
The slopes of perpendicular lines are negative reciprocals.
If you find the slope of the given line, you can find the slope of the perpendicular line.

Given line:

4x + 7y + 3 = 0

Solve for y:

7y = -4x - 3

y = (-4/7)x - 3/7

The slope of the given line is -4/7.
The slope of the perpendicular is 7/4.

Now we can find the equation of the line using the given point and the slope we just found.

y - y_1 = m(x - x_1)

y - 1 = (7/4)(x - (-2))

y - 1 = (7/4)(x + 2)

4y - 4 = 7x + 14

7x - 4y + 18 = 0

a truck driver needs to drive his load to a destination that is 2760 miles away how many miles on average will he have to drive each day if he takes one week plus one half day to get there?

Answers

1 week = 7 days....so 1 week and 1/2 day = 7.5 days

2760 / 7.5 = 368 miles per day <==

A bird leaves its nest and travels 18 miles per hour downwind for x hours. On the return trip, the bird travels 3 miles per hour slower and has 5 miles left after x hours.

Answers

d = distance down wind d - 5 = distance back time = distance ÷ speed x = d/18 x = (d - 5)/(15) 
so d/18 = (d - 5)/15. Cross multiply 18d - 120 = 15d = 40-120 = -5d 24 = d so the whole trip assuming the bird gets back to the starting point is 48 miles..

A rectangular room is three times as long as it is wide, and its perimeter is 56 meters. Find the length of the room.

Answers

width = 7

length = 21

Kerianne paints landscapes, and in late 2018 placed four paintings with a retail price of $160 each in the Holmstrom Gallery. Kerianne’s arrangement with Holmstrom is that Holmstrom will earn a 10% commission on paintings sold to gallery patrons. As of December 31, 2018, one painting had been sold by Holmstrom to gallery patrons.

Answers

Final answer:

Holmstrom earned a commission of $16 for the painting sold to gallery patrons.

Explanation:

The subject of this question is Mathematics and the grade level is High School.

To calculate the commission earned by Holmstrom for the painting sold, we can use the formula: commission = (retail price * commission rate) / 100. In this case, the retail price of the painting is $160 and the commission rate is 10%, so the commission earned by Holmstrom for the painting sold is $16.

Therefore, Holmstrom earned a commission of $16 for the painting sold to gallery patrons.

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The revenue Kerianne should recognize in 2024 with respect to these four paintings is $216.

The retail price for each painting is $270. Holmstrom Gallery earns a 20% commission on each painting sold.

The steps are:

Calculate the commission by multiplying the retail price by the commission rate:

270 × 0.20 = 54

Determine the net revenue for one painting: Subtract the commission from the retail price:

270 − 54 = 216

Calculate total revenue for the paintings sold:

Only one painting was sold by December 31, 2024. So, the total revenue Kerianne should recognize for 2024 is the net revenue from one painting:

216 × 1 = 216

The correct question is given below,

Kerianne paints landscapes, and in late 2024 placed four paintings with a retail price of $270 each in the Holmstrom Gallery. Kerianne's arrangement with Holmstrom is that Holmstrom will earn a 20% commission on paintings sold to gallery patrons. As of December 31, 2024, one painting had been sold by Holmstrom to gallery patrons. How much revenue with respect to these four paintings should Kerianne recognize in 2024?

Is -8.4 greater than or equal to 8.7

Answers

It is neither because it is less than 8.7

Answer:

Step-by-step explanation:

if the mechanical advantages of the component machines in the peeler are 2, 3, and 12, what is the overall mechanical advantage of the apple peeler?

Answers

Final answer:

The overall mechanical advantage of an apple peeler with component mechanical advantages of 2, 3, and 12 is the product of these numbers, which is 72. This implies that the input force applied to the apple peeler is multiplied by 72 times.

Explanation:

The student is asking about the overall mechanical advantage of an apple peeler, which is a complex machine made up of components with individual mechanical advantages. To find the total mechanical advantage of a complex machine, you would multiply the mechanical advantages of each component together.

Given that the mechanical advantages of the component machines are 2, 3, and 12, we can calculate the overall mechanical advantage as follows:

Mechanical Advantage of Component 1: 2

Mechanical Advantage of Component 2: 3

Mechanical Advantage of Component 3: 12

To find the overall mechanical advantage, just multiply these together:

Overall Mechanical Advantage = 2 × 3 × 12 = 72

So, the overall mechanical advantage of the apple peeler is 72. This means the input force is multiplied 72 times.

Which figure represents an undefined term?

Answers

In geometry, an undefined term is a basic figure that cannot be defined in terms of other figures.
The undefined terms in geometry are: point, line and plane.

Since you have not attached any figures, I cannot tell you which one is correct. Just choose the figure that is either a point, a line or a plane.

Will Mark Brainliest/Help Asap! (3 questions)!

1)Jeannine runs for 45 minutes every day for exercise. It takes her 8 minutes to run a mile, and she spends 5 minutes stretching halfway through the run. If x represents the number of miles she runs, then 8x + 5 ≤ 45 represents the time she runs each day. What is the fewest number of miles Jeannine must run to complete her daily exercise?


2)Which equation best represents the situation?

Cara served pizza and punch at a party. Each pizza fed 6 people, and each guest received a glass of punch. If a glass of punch cost 50¢, and Cara spent $2.50 for each guest, what was the cost of each pizza?
A. x/6 + 0.50=2.50
B. 6x 0.5x=2.50
C. x/6 + 50=2.50
D. 6x - 2.50=0.50

3)Which inequality best represents the situation?

A contractor charges a flat rate of $150 plus $6 per square foot to install concrete. Tyler has $2500 to spend on a concrete patio. How many square feet can Tyler have installed?
A.2500 + 150 ≥ 6x
B.6x + 2500 ≥ 150
C.150 – 6x ≤ 2500
D.150 + 6x ≤ 2500

Answers

1) is 5
2) is A
and                              
3) is D
Answer 1: She must run 5 miles to compete her exercise. 8*5+5=45 Answer 2: Choice A, It would total 12 dollars per pizza. Each persons total is 2.50. So take away the 50 cents for the punch leaving 2 dollars per person for the pizza. 6 people can be fed by one pizza therefore at 2 dollars per person left over that would make the price of one Pizza 12 dollars. Answer 3: Question Incomplete

To make 5 apple pies, you need about 2 pounds of apples. How many pounds of apples do you need to make 20 apple pies?

Answers

8 lbs. We have 2 lbs for every 5 pies so the first step is to find out how many sets of 5 we have. We find this out by dividing 20 by 5. 20 divided by 5 is 4, so we have 4 sets of 5. If for every one set, we need 2 lbs of apples, we need to multiply the number of sets by 2. 4*2 is 8, so 8 is our final answer.

Given the set s = { ∅, d, { d }, { { d } }, { { { d } } } }. determine the cardinality of the power set of s list the elements of the power set. to save writing, let v = ∅, w = d, x = { d }, y = { { d } }, and z = { { { d } } }.

Answers

[tex]S=\{\varnothing,d,\{d\},\{\{d\}\},\{\{\{d\}\}\}\}=\{v,w,x,y,z\}[/tex]

A set containing [tex]n[/tex] elements has a power set containing [tex]2^n[/tex] elements; here, [tex]|S|=5[/tex] so [tex]|\mathscr P(S)|=2^5=32[/tex].

The elements of the power set are all possible combinations of up to 5 of the total 5 elements to choose from:

0 choices (1): [tex]v[/tex] (since [tex]v=\varnothing[/tex])

1choice (5): [tex]\{v\},\{w\},\{x\},\{y\},\{z\}[/tex]

2 choices (10): [tex]\{v,w\},\{v,x\},\{v,y\},\{v,z\},\{w,x\},\{w,y\},\{w,z\},\{x,y\},\{x,z\},\{y,z\}[/tex]

3 choices (10): [tex]\{v,w,x\},\{v,w,y\},\{v,w,z\}[/tex] and so on

4 choices (5); [tex]\{v,w,x,y\},\{v,w,x,z\}[/tex] and so on

5 choices (1): [tex]\{v,w,x,y,z\}[/tex]

(1 + 5 + 10 + 10 + 5 + 1 = 32)

Convey 90 cubic feet into cubic yards

Answers

There are 3 feet in 1 yard, so 90/3 = x cubic yards

x = 30

30 cubic yards is your answer

hope this helps

Which phrase best defines a food web?

A.
the sum of all actual feeding relationships in an ecosystem

B.
a single pathway of feeding in an ecosystem

C.
the ecological term applied to plants and other photosynthetic organisms that produce glucose

D.
organisms that eat other organisms
PLZZ ANSWER QUICK

Answers

A. the sum of all actual feeding relationships in an ecosystem

The best phrase defines a food web as the sum of all actual feeding relationships in an ecosystem. Thus the correct option is A.

What is the definition?

A definition of any word is a detailed description defining the accurate meaning to the reader in order to gain information and understand the meaning to utilize in vocabulary and used in any sentence.

A food web is created by the combination of all the food chains in an ecosystem. Each individual in an ecosystem occupies a specific trophic level, location, or network of interrelationships with other creatures.

An ecological group's what really is depicted graphically in a food web, which is the result of the natural connections between food chains. In order to understand biology and evolution, it is vital to understand how food webs function.

Therefore, option A is appropriate.

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How do the 3's compare in 350 and 403?

Answers

In 350, the 3 is in the hundred's place

in 403, the 3 is in the one's place

hope this helps

Simplify I − 0.3i


Hurry!

Answers

i-0.3i=0.7i


because there is a 1 in front of i so you would be subtracting 1-0.3=0.7

hope you understood :)

What is the equation of a line that passes through the point (2, 7) and is perpendicular to the line whose equation is y=x4+5 ?

Answers

Attached a solution and showed work.

Why do some absolute value equations have no solution?

Answers

Because both positive and negative values have a positive absolute value.
An absolute value is the distance from 0 on a number line so it must be a positive number, and so  because of that it is impossible to get or equal -1, this equation has no solution.

What is an equation of the tangent line at x = 4, assuming that f(4) = 3 and f '(4) = 2? (enter your answer as an equation using the variables y and x.)?

Answers

The general equation for a line in the case where the slope and one point on the line are known is y-b = m(x-a), where m is the slope and (a,b) is the point.

Here f(4) = 3 corresponds to the point (4,3), and f '(4) = 2 corresponds to the slope of the tangent line at that point.

Thus the equation of the tangent line here is

         y - 3 = 2(x - 4).

An alternative form of this equation would be y = 3 + 2x - 8, or
  
          y = 2x - 5

J.c. Penny sells a timed watch for $139.99 that cost$89.97. J.C. Penny’s percent of markup based on the selling price is:

Answers

so it cost them 89.97 and they're selling it for 139.99, the difference is 50.02.

so, the markup is 50.02, if we take 89.97 to be the 100%, how much is 50.02 off of that in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 89.97&100\\ 50.02&p \end{array}\implies\cfrac{89.97}{50.02}=\cfrac{100}{p}\implies p=\cfrac{50.02\cdot 100}{89.97}[/tex]

Find dy/dx by implicit differentiation. x2 − 4xy + y2 = 4

Answers

2x -4xydy/dx+ 2ydy/dx= 0
(2y-4xy) dy/dx = -2x
dy/dx = -2x / 2y-4xy
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