Reese is installing an in-ground rectangular pool in her backyard. her pool will be 30 feet long, 14 feet wide, and have an average depth of 8 feet. she is installing two pipes to bring water to fill the pool; these pipes will also be used to drain the pool at the end of each season. one pipe can fill and drain the pool at a rate that is 1 more than 2 times faster than the other pipe. if both pipes are open and working properly, it will take 3.5 hours to fill the pool.

Answers

Answer 1

The faster pipe can fill and drain the pool at a rate of 640.34 cubic feet per hour.

Reese is installing a rectangular pool in her backyard that is 30 feet long, 14 feet wide, and has an average depth of 8 feet. To fill and drain the pool, she is using two pipes. Let's call the slower pipe's rate of filling and draining the pool "r" (in units of volume per hour). Then, according to the problem, the faster pipe's rate is 2r+1 (since it is "1 more than 2 times faster" than the slower pipe).
If both pipes are open and working properly, we know it will take 3.5 hours to fill the pool. That means the total volume of the pool is:
V = length x width x depth
V = 30 ft x 14 ft x 8 ft
V = 3,360 cubic feet
We also know that when both pipes are open, they can fill the pool in 3.5 hours. That means the combined rate of filling the pool is:
V / t = (r + 2r+1)
3360 / 3.5 = 3r+1
960 = 3r+1
959 = 3r
r = 319.67 cubic feet per hour
So the slower pipe can fill and drain the pool at a rate of 319.67 cubic feet per hour. To find the rate of the faster pipe, we just need to substitute this value into our equation for the faster pipe's rate:
2r+1 = 2(319.67) + 1
2r+1 = 640.34
Therefore, the faster pipe can fill and drain the pool at a rate of 640.34 cubic feet per hour.

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Related Questions

Describe the end behavior of the function

Describe the end behavior of the function

Answers

Answer:

The end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).

Step-by-step explanation:

umm....I really hope this helps u

help
Fill in the blank. (Simplify your answer completely.) 6 yd 3 ft 7 in. = in.

Answers

The answer is 231 inches.

To understand how we arrive at this answer, let's break down the given measurement step by step. We have 6 yards, 3 feet, and 7 inches.

Starting with yards, we know that 1 yard is equal to 3 feet, so 6 yards would be equivalent to 6 * 3 = 18 feet. Adding the 3 feet given, we have a total of 18 + 3 = 21 feet.

Moving on to inches, we know that 1 foot is equal to 12 inches. So, the 21 feet we calculated earlier would be equal to 21 * 12 = 252 inches. Finally, adding the 7 inches given, we get a total of 252 + 7 = 259 inches.

Therefore, 6 yards 3 feet 7 inches is equal to 259 inches.

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HELP!! WILL MAKE BRAINLIEST!!

The equation(24x^2 + 25x - 47)/(ax--2) = -8x - 3 - 53/(ax--2) is true of all values of x≠2/a where a is a constant. What is the value of a?

Please help me there is no multiple choice :(

Answers

Answer:

-3

Step-by-step explanation:

The fastest way to solve this problem is to multiply each side of the given equation by in order to get rid of the fraction. After you do this you should have:

Then multiply \((-8x-3)\) and \((ax-2)\) using FOIL:

\(24^2+25x-47=-8ax^2-3ax+16x+6-53\)

Then reduce on the right side of the equation:

\(24x^2+25x-47=-8ax^2-3ax+16x-47\)

Because the coefficients of the \(x^2\) term have to be equal on both sides of the equation, reduce from \(-8a=24\) to \(a = -3\) by dividing both sides by \(-8\).

How does affordance contribute to motor development?

Answers

1. Affordably presented by objects or environments, such as a ball providing the opportunity to practice grasping, throwing, and catching.
2. Individuals perceive these affordances and decide to engage with them, based on their current motor abilities and developmental stage.
3. Through interacting with affordances, individuals practice and develop their motor skills by attempting, refining, and mastering the actions associated with affordance.

Affordably is a term used to describe the relationship between an individual's perception of their environment and their ability to interact with it. In terms of motor development, affordances refer to the opportunities for movement that the environment presents. These opportunities can be both physical and social and can include objects to manipulate, spaces to explore, and people to interact with.

The concept of affordance is important for motor development because it provides children with opportunities to practice and refine their motor skills. As children explore their environment, they are able to perceive the various affordances that it presents, and they can use these affordances to develop their motor skills.

For example, a child may perceive that a box can be used as a stepping stool, and they may use this affordance to climb up onto a table. In doing so, they are developing their balance, coordination, and strength. Similarly, a child may perceive that a ball can be thrown, caught, and bounced, and they can use these affordances to develop their hand-eye coordination, spatial awareness, and timing.

Overall, affordance plays an important role in motor development by providing children with opportunities to explore and interact with their environment and to develop their motor skills in the process.
Affordance contributes to motor development by providing opportunities for individuals to interact with their environment, which in turn helps them develop and refine their motor skills. Affordance refers to the potential actions or uses that an object or environment provides to an individual. In the context of motor development, affordances can be seen as opportunities for practicing and enhancing motor abilities.


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10 pounds of
strawberries cost
$20. 7 pounds of
strawberries cost
$14. What is the
cost per pound?

Answers

20/10=2.
14/7=2.
2 dollars per pound.


Part a: Which relationship describes <1 and <2?

Part b: What is the value of x?

Part c: What is the m22?

Part a: Which relationship describes &lt;1 and &lt;2?Part b: What is the value of x?Part c: What is the

Answers

Answer:

x = 8

Step-by-step explanation:

Part a: <1 and <2 are alternate exterior angles because line horizontal lines are parallel

Part b: the value of x can be calculated with the following equation

7x + 15 = 10x - 9 because alternate angles has same measure

15 + 9 = 10x - 7x

24 = 3x divide both sides by 3

8 = x

Find matrix M such that M × [3 -2 , 6 -8 ] = [-2 16]

Answers

The matrix M is: M = [2/9 -8/27 , 4/9 -8/27 ]

Let's say that M is a 2 x 2 matrix that satisfies M × [3 -2 , 6 -8 ] = [-2 16]. This means that the product of matrix M and matrix [3 -2 , 6 -8 ] will give us the result matrix [-2 16].  We know that the product of two matrices is equal to the sum of the products of their corresponding elements.  We can use this knowledge to solve for the unknown elements in matrix M. Let us assume that M = [a b , c d] so that we can solve for its elements.

a(3) + b(6) = -2 ... (1) c(3) + d(6) = 16 ... (2) a(-2) + b(-8) = -2 ... (3) c(-2) + d(-8) = 16 ...

(4)Simplifying equations (1) to (4),  we get:

3a + 6b = -2 ... (5) 3c + 6d = 16 ... (6) -2a - 8b = -2 ... (7) -2c - 8d = 16 ... (8)

Solving for a, b, c, and d, we get:a = 2/9 b = -8/27 c = 4/9 d = -8/27.

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kurt busch won the daytona 500 (mile) race with a rate of 143.187 mph in 2017. find his time to the nearest thousandth

Answers

The time taken to finish the race is 3.49 hours

Speed is defined as. The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered.

Given,

The total distance = 500 miles

The speed = 143.187 mph

We know, Speed = Distance / Time

Time = Distance / Speed

Substitute the values

Time = \(\frac{500}{143.187}=3.49\) hours

Hence, the time taken to finish the race is 3.49 hours

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what is the range of this function

\(f(x) = \sqrt{x} - 6\)

Answers

Answer:

ghhh

Step-by-step explanation:

hhyy

nineteen students are eligible to play doubles tennis. what is the maximum number of different 2-person teams possible?

Answers

By permutation and combination, Maximum 171 number of different  2 - person teams are possible.

Provide an example of permutation and combination?

An arrangement of things in a specific order is referred to as a permutation. In this arrangement, the components or components of sets are organized in a linear or sequential order.

                       As an illustration, set A=1,6 has the permutation 2, which is 1,6,1. Permutations include the arrangement of individuals, digits, numbers, alphabets, letters, and colors. Combinations include things like choosing a menu, cuisine, clothing, a subject, and a team.

Total number of ways to choose different 2 person out of 19 person.

                     = ¹⁹C₂

              = 19!/2! (19 - 2)!

              =  19!/2!   17!

             = 19 * 18 * 17!/2 * 1 * 17!

            = 19 * 7

              = 171

Hence, maximum 171 number of different  2 - person teams are possible.

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let u = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, a = {1, 3, 5, 7, 9}, b = {6, 7, 8, 9} and c = {2, 3, 5, 7, 8}. find (a) (a − b) ∪ c. (b) a ∩ b ∩ c

Answers

The value of (a - b) ∪ c is set {1, 2, 3, 5, 7, 8} and the value of a ∩ b ∩ c is set {7}.

To find (a - b) ∪ c, we first need to determine the difference between sets a and b (a - b).

In this case, a = {1, 3, 5, 7, 9} and b = {6, 7, 8, 9}. The difference is the set of elements that are in a but not in b, which gives us {1, 3, 5}.
Next, we find the union between this result and set c.

Set c is given as {2, 3, 5, 7, 8}. The union is the set of elements that are present in either (a - b) or c or both.

In this case, the union is {1, 2, 3, 5, 7, 8}.

So, (a - b) ∪ c = {1, 2, 3, 5, 7, 8}.
To find a ∩ b ∩ c, we need to find the intersection of all three sets, which means identifying the elements that are present in all three sets. In this case, a = {1, 3, 5, 7, 9}, b = {6, 7, 8, 9}, and c = {2, 3, 5, 7, 8}.
Comparing the elements, we can see that the only element present in all three sets is 7.

Therefore, a ∩ b ∩ c = {7}.

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A function is shown. What is the value of f(–8)?

f(x) = 12 – 3x

*Type in your answer.

f(–8) =

Answers

Answer:36

Step-by-step explanation:

f(x)=12-3*(-8)

=36

Is there such thing as kidney insurance?

Answers

Answer:

yes there is

Step-by-step explanation:

surprisingly yes- it’s mainly for people with kidney disease

an atleate can swim 1/2 mile every 1/ hour what is the unit rate

Answers

Answer:

3/2

Step-by-step explanation:

The unit rate is 3/2.

I dont even know if I did the first one right. May you please help me with my little sisters Homework, Idk what her teacher gives her​

I dont even know if I did the first one right. May you please help me with my little sisters Homework,

Answers

Answer:

we cant see it

Step-by-step explanation:

Answer:

Addition Property

Step-by-step explanation:

adam, benin, chiang, deshawn, esther, and fiona have internet accounts. some, but not all, of them are internet friends with each other, and none of them has an internet friend outside this group. each of them has the same number of internet friends. in how many different ways can this happen? (2012amc10a problem 23 or 2012amc12a problem 19)

Answers

Option A, For the aptitude puzzle, the number of ways each of people has the same number of internet friends is 60.

We want to count the number of ways that the 6 people can be internet friends with each other given that each person has the same number of internet friends and no one has an internet friend outside of the group.

Let k be the number of internet friends each person has. Since each person knows 5 other people in the group, we have 6k = 5 * 6, which means that k=5.

Thus, each person has 5 internet friends. We can choose these 5 friends in 5 to choose 5 times 4 choose 5 times 3 choose 5 times 2 choose 5 times 1 choose 5 = 1 × 0 × 0 × 0 × 0 = 0 ways since we can't choose 5 friends from fewer than 5 people.

Therefore, the answer is (A) 60.

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The question is -

Adam, Benin, Chiang, Deshawn, Esther, and Fiona have internet accounts. Some, but not all, of them are internet friends with each other, and none of them has an internet friend outside this group. Each of them has the same number of internet friends. In how many different ways can this happen?

a. 60

b. 170

c. 290

d. 320

e. 660

A student received a coupon for 11% off the total purchase price at a clothing store. Let c be the
original price of the purchase. Use the expression below for the new price of the purchase. Write an
equivalent expression by combining like terms.
C-0.110
DO
C-0.11c =

Answers

Answer:

For example, if the initial price was $60, you would calculate 60 x.11= 6.60, then 60-6.60.

Step-by-step explanation:

Hope this helps you!!!!!!!! :D


Which expression is equivalent to (-4x²)³?
-12x6
-12x5
-64x6
-64x5

Answers

Answer:

-64x^6

Step-by-step explanation:

Given f(x) = 0.04x + 0.2 as a function of solution (in quarts ) to produce the percentage of boric acid. What is the amount of solution in quarts, if the amount of pure boric acid is 48%.

Answers

The amount of solution needed in quarts to achieve a 48% concentration of boric acid is 7 quarts.

To determine the amount of solution in quarts needed to produce a certain percentage of boric acid, we can set up the equation using the given function.

Let's denote the amount of solution in quarts as x. According to the given function, the percentage of boric acid is given by f(x) = 0.04x + 0.2. We want the percentage of boric acid to be 48%.

Setting up the equation:

0.04x + 0.2 = 48/100

To solve for x, we'll isolate the x variable on one side of the equation:

0.04x = 48/100 - 0.2  

0.04x = 0.48 - 0.2  

0.04x = 0.28

Now, we'll divide both sides of the equation by 0.04 to solve for x:  

x = 0.28 / 0.04  

x = 7  

Therefore, the amount of solution needed in quarts to achieve a 48% concentration of boric acid is 7 quarts.

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The focus group techniques fall under the qualitative research
paradigm. With reference to the above statement examine the
qualitative research paradigm.

Answers

A qualitative research paradigm is a research approach that focuses on understanding and interpreting subjective experiences, meanings, and social phenomena.

It involves collecting and analyzing non-numerical data to gain insights into individuals' perspectives and the social context in which they exist. Focus group techniques are one of the methods used within the qualitative research paradigm to gather data through group discussions.

The qualitative research paradigm aims to explore and understand the complexity and nuances of human experiences, behaviors, and social phenomena. It recognizes the importance of context and seeks to generate rich and in-depth understandings rather than generalizable conclusions. Qualitative research methods involve collecting data through methods such as interviews, observations, and document analysis. The data collected is typically in the form of words, images, or other non-numerical formats. Researchers then analyze the data using various techniques, such as thematic analysis or grounded theory, to identify patterns, themes, and meanings.

Focus group techniques are one of the commonly used methods within the qualitative research paradigm. Focus groups involve bringing together a small group of participants who share common characteristics or experiences to engage in a facilitated discussion on a specific topic of interest. The group interaction allows participants to share their perspectives, experiences, and opinions while also influencing and being influenced by others in the group. This method provides rich qualitative data and allows researchers to explore group dynamics, collective meanings, and shared understandings.

Overall, the qualitative research paradigm and focus group techniques emphasize the importance of understanding subjective experiences, social interactions, and contextual factors to gain insights into human phenomena.

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Drag each expression to show whether it is equivalent to (5·9)+(5·1), 45+15, or 15(3−1).

Answers

Just put your equipment to good use

En una clase de matemáticas hay 3 niñas y 3 niños del séptimo grado y 7 niñas y 5 niños del octavo grado. La maestra elige al azar un estudiante del
séptimo grado y un estudiante del octavo grado en la clase para una competencia. Cuál es la probabilidad de que los estudiantes que ella seleccione sean
Escribir la respuesta como una fracción en forma reducida.
ninas?

Answers

Answer:

No comprendo espanol. Yo se un muy poco.

Step-by-step explanation:

A candy box is made from a piece of cardboard that measures 29 by 16 inches. Squares of equal size will be cut out of each corner. The sides will then be folded up to form a rectangular box. What size square should be cut from each corner to obtain maximum volume?

Answers

The size of the square that should be cut from each corner to obtain maximum volume is 3.33 inches.

Let's assume that the size of the square to be cut from each corner is x. Therefore, the length of the base of the box would be 29-2x, and the width would be 16-2x. The height of the box would be x.

The volume of the box would be V = (29-2x)(16-2x)x = 4x^3 - 90x^2 + 464x.

To find the value of x that gives maximum volume, we can take the derivative of V with respect to x and set it to zero:

dV/dx = 12x^2 - 180x + 464 = 0

Solving for x, we get x = 3.33 inches (rounded to two decimal places).

Therefore, the appropriate size for each square is 3.33 inches.

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a function, f(x)=4x+5, has a domain 0<=x<=50. What is the range? How do you do this??

Answers

Step-by-step explanation:

remember the domain is the interval or set of valid input (x) values. the range is the interval or set of the valid result (y) values.

so, the given domain tells us the interval to look at.

what are the functional values of the function between 0 and 50 ?

since the function is continuous (there are no gaps) in this interval, we can safely assume that all values between f(0) and f(50) are valid y values.

f(0) = 4×0 + 5 = 5

f(50) = 4×50 + 5 = 205

so, the range is 5 <= y <= 205

A salesman sells a car for 960,000.If he receives a commission of 15%,how much will be his commission?​

Answers

Answer:

144 000

Step-by-step explanation:

960 000 × 0.15

= 144 000

Answer:

144,000

Step-by-step explanation:

\( \frac{15}{100} \times 960000 \\ 15 \times 9600 \\ 144000\)

please help i will give out brainliest

please help i will give out brainliest

Answers

Answer: Pls brainliest this took forever, but was really fun :)

Step-by-step explanation:

Imagine you are looking at the structure from the front or the side.  What would you see?  If you want a detailed explanation on orthogonal drawings, just ask :)

please help i will give out brainliest

Why do you think you can prove congruency with SSS but not with AAA Property. Explain your answer with figures.

Answers

In AAA (Angle-Angle-Angle), triangles do not have the same size and only have 3 pairs of congruent angles.

In SSS (Side-Side-Side), if the three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent.

(1 point) a bowl contains 6 red balls and 7 blue balls. a woman selects 4 balls at random from the bowl. how many different selections are possible if at least 3 balls must be blue?

Answers

The number of different selections possible if at least 3 balls must be blue is 35


1. Calculate the total number of possible selections (6 red + 7 blue = 13 total): 13C4 = 715
2. Calculate the number of possible selections that have fewer than 3 blue balls: 6C4 = 15
3. Subtract the number of possible selections with fewer than 3 blue balls from the total number of possible selections: 715 - 15 = 700
4. Divide the answer by the number of selections with exactly 3 blue balls: 700/7 = 100
5. Multiply the result by the number of selections with exactly 4 blue balls: 100 * 7 = 700
6. Finally, subtract the number of selections with 4 blue balls from the total number of possible selections: 715 - 700 = 35

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Rational number between 3.623623 and 0.484848​

Answers

Answer:

1

Step-by-step explanation:

A rational number between 3.623623 and 0.484848 is 1.

Answer:

Remember: rational numbers are numbers that can be written as fractions and decimals that either terminate or repeat. Here are some rational numbers:

0.5, 3/4, 1, 1.5...3, 3.5

Step-by-step explanation:

BRAINLIEST, PLEASE!

Jack is standing on the ground talking on his mobile phone. He notices a plane flying at an altitude of

2400 metres. If the angle of elevation to the plane is 70° and by the end of his phone call it has an angle

of elevation of 50°, determine the distance the plane has flown during Jack’s phone call - use the cosine rule

Answers

Using the cosine rule, the distance the plane has flown during Jack's phone call can be calculated by taking the square root of the sum of the squares of the initial and final distances, minus twice their product, multiplied by the cosine of the angle difference.

To determine the distance the plane has flown during Jack's phone call, we can use the cosine rule in trigonometry.

The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles.

Let's denote the initial distance from Jack to the plane as d1 and the final distance as d2.

We know that the altitude of the plane remains constant at 2400 meters.

According to the cosine rule:

\(d^2 = a^2 + b^2 - 2ab \times cos(C)\)

Where d is the side opposite to the angle C, and a and b are the other two sides of the triangle.

For the initial angle of elevation (70°), we have the equation:

\(d1^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \timescos(70)\)

Similarly, for the final angle of elevation (50°), we have:

\(d2^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \times cos(50)\)

To find the distance the plane has flown, we subtract the two equations:

\(d2^2 - d1^2 = 2 \times 2400 \times a \times (cos(70) - cos(50))\)

Now we can solve this equation to find the value of a, which represents the distance the plane has flown.

Finally, we calculate the square root of \(a^2\) to find the distance in meters.

It's important to note that the angle of elevation assumes a straight-line path for the plane's movement and does not account for any changes in altitude or course adjustments that might occur during the phone call.

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