It’s a hot summer day. Darius is babysitting and has promised his sweet little sister that he will fill her wading pool. He plans to soak his feet in the water as he sips a cool soda and watch little sister as she plays in the water. Sounds great, right? All he needs to do is get the pool filled. Unfortunately, little sister is impatient and starting to whine. Darius has a hose ready in the backyard to fill the pool, but he decides he will also drag the hose from the front-yard, so the two hoses can work together to fill the pool faster. Nobody wants their darling little sister to be unhappy!

Darius knows from experience that if he only uses one hose at a time, the front-yard hose takes 10 minutes longer to the fill the pool than the back-yard hose. With the two hoses working together, the pool is filled in 12 minutes. Once Darius is comfortable with his toes dangling in the water, he starts to wonder how long it would have taken to fill the pool if he had only used one of the hoses.

Darius thinks, “Hmmm. Usually when I think about how long it takes to do something I have to think about the rate it is going.”

1. What is the combined rate of the two hoses in filling the pool? What are the units of the rate?

2. What is the rate of the back-yard hose when it is working alone? What are the units of the rate?

Answers

Answer 1

Answer: The rate should normally be in

Gallons per Minute. But here, it might have to be "Pool per Hour" since the total volume is not given.

With two hoses taking 12 minutes, the rate is 5 pools per hour.

Step-by-step explanation:

Take the time to fill with two hoses, double that to get the time for two hoses with equal rates. 24 minutes. But one takes 10 minutes more, so split that. 24 + 5 is 29 minutes. 10 less is 19 minutes. Or try 27 and 17.

If you assume a typical kiddie pool 4 ft diameter and 1 ft deep, not quite full, that would hold around 84 gallons.

84÷12 = 7 gallons per minute.

84÷ 17 = about 4.9 gpm

84 ÷ 27= 3.1 gpm

So 16 and 6 might be possible times to try for realistic rates.

I realize this is not a complete answer, but it might help.


Related Questions

Drag each label to the correct location on the table.


Find the areas of the figures.

triangle TUV
rectangle ABCD
rectangle PQRS
triangle EFG

Answers

Hey there! The answer to your problem is:

6 square units: rectangle PQRS, triangle TUV

8 square units: rectangle ABCD, triangle EFG

Answer:

what he said it right

Step-by-step explanation:

On a blueprint, 1 inch = 5 feet. On the blueprint, the living room is 6.5 inches long. How long is the livining room
in real life?

Answers

Answer:

32.5 feet

Step-by-step explanation:

Since 1 inch = 5 feet, we can muliply the measure of the living room by 5 to get our answer.

6.5 x 5 = 32.5

32.5 feet for the blueprint

Graph the equation using the slope and y-intercept? y= -3x+5​

Answers

Answer:

Step-by-step explanation:

You need to graph 2 points then you have to draw a line through it.

The 2 points I used were (0,5) and (1,2). Then just draw a line.

please help me
ZB
Round your answer to the nearest hundredth.
5
2
?
B

Answers

From the info
You would use the tan x=5/2
But u would take the inverse of tan or 1/tan
The tan^-1(5/2)
=21.80140
The angle of b would be 21.80

Hope it helps

Seven times the sum of a number and 3 is 9.​

Answers

Answer: -1.71

7(x+3) = 9 is the equation

7x+21 = 9

7x = -12

x= -12/7

x= -1.71

Help me with this pls

Answers

Answer:

D. 60=(x+45)

Step-by-step explanation:

They are the same degree so they should equal eachother

Answer:

The answer should be D) 60 = (x + 45)

Step-by-step explanation:

PLEASE HELP
which mapping diagram does NOT represent function from x-y

Answers

Answer:

Diagram 1

Step-by-step explanation:

This diagram does not represent a function because the x value 6 is outputting 2 different y values, 4 and 6. This goes directly against the rules of a function.

Diagram 1 I hope this helps

What is the answer to this

Answers

9514 1404 393

Answer:

  (c)  5

Step-by-step explanation:

Put 4 where x is and do the arithmetic.

  F(4) = 3·4 -7 = 12 -7

  F(4) = 5

Neeed help asap!!!!!!!

Answers

Answer:

b

Step-by-step explanation:

its on the half

There are 26 seventh-grade students going to the big game against County Middle School. If 4 students can ride in one car, how many cars do they need?

Answers

they need 7 cars. hope this helps:)

At a snack stand, Nathan buys 2 sodas and 1 snack and spends $5. Olivia
buys 3 sodas and 4 snacks and spends $15. Set up the system of equation
(Write both equations separated by a comma)

Answers

Answer:

the soda's are one$

and the snacks are three$

If Jacob earns 20$ per month but spends 10$ every 2 weeks. How much money does Jacob earn in 1 year?

Answers

He earns $120 in one year

Answer:

he earns 170996695212345678910

How many edges does this shape have? 6 , 9 , 10 , 12​

Answers

If that’s a rectangular prism 12 edges

please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!will give brainliest

Answers

Answer:

3/10

Step-by-step explanation:

2,3,5 are the primes on the spinner so P(prime) = 3/5

probability of 'not heads' means P(tails) which equals 1/2

multiply the two probabilities 3/5 · 1/2 = 3/10

Plz help i don't know what X is

Answers

Answer:

1,920

Step-by-step explanation:

A=L x W

so we have to multiply each number

24*8=192

192*10=1,920

what is the oblique asymptote of the function f(x)= (x^2 - 5x + 6)/(x - 4)

Answers

Answer:

[tex]f(x)=x-1[/tex]

Step-by-step explanation:

From the question we are told that

Function [tex]f(x)= \frac{(x^2 - 5x + 6)}{(x - 4)}[/tex]

Generally we divide the numerator by the denominator mathematically

  [tex]y=x-4\sqrt{x^2-5x+6}[/tex]

  [tex]y=x-1[/tex]

Therefore the asymptote is given as

[tex]f(x)=x-1[/tex],

what is the value of the y-coordinate of the solution to the system of equations x-2y=1 and x +4y=7

Answers

The y-coordinate of the solution is 3.

a dream club charges $150 for the first month of membership, and $5 less each month after that. what is the total membership for a year? for 2 years?

Answers

Answer:

1 year 1470

2 years 2220

Step-by-step explanation:

Try it, it correct

Ben deosites 4580 in an account that earns 6% apr compounded weekly. What is the ending balance after 2 years

Answers

Given:

Principal value = 4580

Rate of interest = 6% apr compounded weekly

To find:

The total amount after 2 years.

Solution:

The formula for amount is

[tex]A=P\left(1+\dfrac{r}{100n}\right)^{nt}[/tex]

Where, P is principal, r is rate of interest, n is number of times interest compounded in an year and t is number of years.

1 year = 52 week

n=52

Putting P=4580, r=6, n=52, t=2 in the above formula, we get

[tex]A=4580\left(1+\dfrac{6}{100(52)}\right)^{52\times 2}[/tex]

[tex]A=4580\left(1+\dfrac{6}{5200}\right)^{104}[/tex]

[tex]A=4580\left(1+\dfrac{3}{2600}\right)^{104}[/tex]

[tex]A=4580\left(\dfrac{2603}{2600}\right)^{104}[/tex]

On further simplification, we get

[tex]A=4580(1.1274188)[/tex]

[tex]A=5163.5781[/tex]

[tex]A\approx 5163.58[/tex]

Therefore, the ending balance after 2 years is 5163.58.


Work out an expression, in terms of x, for the perimeter of the shape.
Simplify your answer.

Answers

Answer:1+3x+9+x+8+2x= 6x+9

so =3(x+3)

Step-by-step explanation:

Which of the following ordered triples is the solution to the system of equations?

2 x-y-z= -1
3 x + y - Z= 2
x + y -5 z= -8

A(1,1,2)
B(2,3,-5)
C(4,2,-6)
D(5,0,-2)

Answers

A. all of the answers are correct when you plug in these values

The solution of the linear equations will be (1, 1, 2). Then the correct option is A.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The equations are given below.

2x - y - z = -1        ...1

3x + y - z = 2       ...2

x + y - 5z = -8      ...3

Add equations 1 and 2, then we have

5x - 2z = 1       ...4

Add equations 1 and 3, then we have

3x - 6z = -9     ...5

From equations 4 and 5, then we have

15x - 3x = 12

12x = 12

x = 1

From equation 4, then we have

5(1) - 2z = 1

2z = 4

z = 2

From equation 1, then we have

2(1) - y - 2 = -1

y = 1

The solution of the linear equations will be (1, 1, 2). Then the correct option is A.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ5

I'll give brainliest and five stars if you help me!

What is the solution of the quadratic equation 2x2 + 5x – 1 = 0? Solve by using the quadratic formula.

a. 5+√17 / 4

b. -5+√33 / 4

c. 5+√33 / 4

d. -5+√17 / 4

Answers

A.)))))))))))


- Harvard university professor

Given 11 and 6, which of the following could not be the third side of the triangle?

Answers

Answer:

      Any, that is greater than 5 and less than 17

Step-by-step explanation:

Given three sides of triangle: a, b and c, and a<c and b<c, then the triangle exist only if  a+b>c

therefore:

if a = 11 and b = 6 and c = ??

then:  11 + 6 > c

            c < 17

if a = 6 and c = 11 and b = ?? {or b=6 and a=??}

then:  6 + b > 11  {subtract 6 from both sides}

            b > 5

Evaluate the function for x = 2 and x = 6.
f(x) = -(x - 2)
need help like asap

Answers

Answer:

zero and negative four

I hope that's what you meant I don't know

Step-by-step explanation:

f(x) = -(x - 2)

=-(2-2)

=0

f(x) = -(x - 2)

=-(6-2)

=-4

help asap i’ll give brainliest if ur right

Answers

Answer:

it should be the second one and the forth one

Step-by-step explanation:

first and third are also correct are they not?

Sandy orders 20 bread rolls for her party, and 3/5 of the rolls are whole wheat. What other fraction represents the part of rolls that are whole wheat?

Answers

Answer:

12/20

Step-by-step explanation:

Sandy orders 20 bread rolls for her party, and 3/5 of the rolls are whole wheat. What other fraction represents the part of rolls that are whole wheat?

The number of rolls that are whole wheat is calculated as:

3/5 × 20 bread rolls

= 12 wheat bread rolls

Hence, the other fraction thag represents the part of rolls that are whole wheat = 12 wheat bread rolls/20 bread rolls

= 12/20

round the following to the nearest hundredth place 5.4976

Answers

Answer:

5.50

Step-by-step explanation:

the 7 tells the 9 to round up and that will make the 4 turn into a 5 so it would end up being 5.50

Find one value of x that is a solution to the equation:
(3x-2)^2-4=9x-6

Answers

Answer:

x = 2, x = 1/3

Step-by-step explanation:

(3x-2)^2-4=9x-6

9x^2-12x=9x-6

9x^2-12x+6=9x

9x^2-21x+6=0

(then solve with quadratic formula)

x = 2, x = 1/3

2001 is the square number of
1007 is the square number of​

Answers

Answer:

2001 is the square number of

Exact Form: √2001

Decimal Form: 44.73253849…

1007 is the square number of​

Exact Form: √1007

Decimal Form: 31.73326330…

Step-by-step explanation:

Answer:

Square of 2001 is 44.73. Rounded to the nearest hundredth

Square of 1007 is 31.73. Rounded to the nearest hundredth

a rectangle has a length 3 meters more than three times the width. the area of the rectangle is less than 90 meters squared. write an expression that represents all possible widths (use the variable x) of the rectangle. write your answer as an inequality, a < x < b.

Answers

Answer: -6<x<5

Step-by-step explanation:

Given

Length is 3 m more than three times the width

Suppose width is x

So, the length is 3x+3

The area of a rectangle is  [tex]length\times width[/tex]

Area= [tex](3x+3)x<90[/tex]

[tex]\Rightarrow 3x^2+3x-90<0\\\Rightarrow x^2+x-30<0\\\Rightarrow x^2+6x-5x-30<0\\\Rightarrow (x+6)(x-5)<0\\\Rightarrow -6<x<5[/tex]

Other Questions
For each of the five civilizations you studied in this unit (Han, Gupta, Maya, Aztec, Inca), identify one development that you think is the most significant for each civilization. Then rank those five developments in importance from 1 to 5 (1 most important, 5 least important).While your opinion may play a role in your choice, your rankings should reflect sound reasoning. So, you should base your rankings on specific qualities such as the short- and long-term impact that each development had on other civilizations at the time or the degree of technological advancement and creativity that it demonstrates.Be prepared to defend your choices and rankings. Again, your aim is to present supportable rankings. Discuss and question the rankings of your peers as well. hey can someone please help me asap Ideal land for agricultural use in the United States is being replaced by colleges and universities military bases nature preserves outlet malls urban developments necesito signo de puntuacion para, dime con quien andas You spent 2 hours on homework yesterday. Today you spend 4 hours. What is the percent of increase? all group of 43 people are going to a concert if 6 people fit in each car how many cars will they need to take There is a current I flowing in a clockwise direction in a square loop of wire that is in the plane of the paper. If the magnetic field is toward the right, and if each side of the loop has length L, the net magnetic torque acting on the loop is: Brie and Gillian were selling tickets to sports Night. Gillian sold about 6 adult tickets and 15 student tickets for a total of $48.00. Brie sold 8 adult tickets and 7 student tickets for a total of $38.00. What was the price of each ticket? Who is Robbie and why is he important (SHADOWSHAPER) 30. Which statement gives the best example oflanguage that appeals to emotions?A Farmers know that local food ispopular.B A lot of people in Salinas would losetheir jobs.C Small local farms are less efficientthan big farms.D Many places specialize in growingone kind of crop. Which of the following atoms has sixvalence electrons?A. sulfur (S)B. silicon (Si)C. magnesium (Mg)D. argon (Ar) Add or remove commas, if necessary until the sentence has correct punctuation Compound Light Microscopes1. Why would a scientist want to stain a specimen before observing itwith a compound light microscope?A. To study the movement of the specimenB. To increase the visual contrast in the specimenC. To blur differences between structures of the specimenOD. To increase the magnification power of the microscopeCheck Answer Which sentence in the section "I have a dream" BEST supports the central idea of the paragraph above? HHHHHHHELP MEEEEEEEEEEE Need help ASAP ILL LOVE U FOREVER According to Douglass, what are the advantages in a slave owner having mixed race children? Write the equation of this circle in standard form Please help me answers What are some differences between the Britishand American colonists?