Mathematics High School

and rates: word problems ZB9
Last summer, the Abrams family had a 30-gallon baby pool that they could fill in just 2
minutes. This summer, they purchased a larger kiddie pool that holds 150 gallons of water.
If the Abrams fill the larger pool at the same rate, how long will it take to fill it?

Answers

Answer 1

Answer:

10 mins

Explanation:

Because it takes 2 minutes to fill a 30 gal pool, and 150/30=5, 2 x 5 = 10 giving you the answer of 10 mins to fill a 150 gal pool.

Answer 2

Time taken to fill the larger kiddie pool that holds 150 gallons of water is 10 minutes.

Given that, the Abrams family had a 30 gallon baby pool that could fill in just 2 minutes.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, rate of filling the pool = 30/2

= 15 gallons per minute

So, time taken to fill 150 gallons of water

= 150/15

=10 minutes

Therefore, time taken to fill the larger kiddie pool that holds 150 gallons of water is 10 minutes.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

Related Questions

·Has to be a number​

Answers

Answer:

x=-4

Step-by-step explanation:

If u understand this May u help me please

Answers

Answer:

Sure what you need help with?

Step-by-step explanation:

Write an equation of a vertical line that contains the point (-2,5)

Answers

Answer:

x=-2

Step-by-step explanation:

The line is vertical and/or undefined and it passes through the point (-2,5).

PLEASE HELP ILL MARK BRAINLIEST

Answers

Answer:

A, C, D, and E

Step-by-step explanation:

According to following triangle, the choices that explains that [tex]\triangle DBC[/tex] is isosceles, are:

-[tex]\overline {AB}[/tex] is an angle bisector of [tex]DAC[/tex]. (Choice A)

-[tex]\angle BDC[/tex] is congruent to [tex]\angle BCD[/tex]. (Choice C)

-[tex]\angle ABD[/tex] is congruent to [tex]\angle ABC[/tex]. (Choice D)

[tex]\angle DAB[/tex] is congruent to [tex]\angle CAB[/tex] (Choice E)

What is the slope of the line with the points (3,5) and (6,4)

Answers

Answer:

The slope is -1/3

Step-by-step explanation:

(y2-y1)/(x2-x1)

(4-5)/(6-3)

-1/3

Find an equation of a line containing the point (-6,3) and has slope
- 1/3

Answers

Answer: y=-1/3x+1

Step-by-step explanation:

To find an equation that contains the given point and has the same slope, we can plug it into slope-intercept form to find the y-intercept.

3=-1/3(-6)+b         [multiply]

3=2+b                   [subtract both sides by 2]

b=1

Now that we know the y-intercept, we know that the equation is y=-1/3x+1.

which is the estimate of each product 11/12 x 4/5

Answers

Answer:

[tex]\frac{11}{15}[/tex]

Step-by-step explanation:

[tex]\frac{11}{12} *\frac{4}{5}[/tex]

You can simplify to make life easier

[tex]\frac{11}{3}*\frac{1}{5}=\frac{11}{15}[/tex]

Use to isolate the variable

Answers

Answer:

reciprocals

Step-by-step explanation:

HAVE A GOOD DAY AND BE SAFE WIT THIS RONA

Using distributive property to write an expression that is equivalent to 8(a+4)

Answers

Answer:

8a+32

Step-by-step explanation:

8(a+4)= 8a+32

Hope helps :D

Answer: 8a+32.

Step-by-step explanation:

Find the slope of the line that passes through (-3,4) and (-2,-8)

Answers

Answer:

-12

Step-by-step explanation:

The slope formula is y2-y1 divided by x2-x1

I plugged it in and got

-12

I hope this helps :>

Solve 9(8x + 5) + 7 if x = 0.25.

pls help

Answers

Answer: 70

Multiply 8 by 0.25. Add 5 multiply that by nine then add 7.

Answer:

x= 9/14 or 0.642857

Step-by-step explanation:

A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame?

Answers

Answer:

4x+12

Step-by-step explanation:

A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame?

(5+2x)+(7+2x)

The perimeter would be 4x+12

Hope I helped!

Please mark Brainliest!!!

Answer:

The answer is A. 4x+12

Step-by-step explanation:

Just took the test on edge 2020 :D

The bar graph shows the differences in a city’s rainfall from the historical average. Find the sum of the differences for the year. Write your answer as a decimal.

Answers

Answer:

The total amount of rainfall for the year is negative, -1.73

Step-by-step explanation:

-0.45   +   -0.88   +   0.94   +   -1.67   +   -0.96   +   0.83   +   2.36   +   1.39   +   0.35   +   -1.35   +   -0.9   +   -1.39 = -1.73

graph the function h(x) = (x - 5)2+ 6

Answers

Answer:

x = 2

Step-by-step explanation:

have a nice rest of your day

can Someone help me ​

Answers

Answer:

I believe that the answer is x < -10

Step-by-step explanation:

I plugged in -10 into the equation and it was right.

Determine whether the ordered pair (-5,36) is a solution to the equation 2x- y/2 = -8

Answers

No.
An order pair is in the format of (x,y). Therefore, in the order pair (2,4), 2 is the x and 4 is the y. When you plug these numbers into the equations you don’t get equal answers:

4(2) = 4 - (4)
8 ≠ 0

3(2) = 26 + 5(4)
6 ≠ 46

Instantaneous vs Average Rate of change
PLEASE AND THANKSSS:))

Answers

One is average 2 is average 3 is instantaneous 4 is average 5 is average 6is instantaneous

I am unable to understand how to solve this question, please send the working out.

Answers

1 Move the negative sign to the left.
(
9
x
)
1
2
8
x
−
1
2
3
(9x)
​
​2
​
​1
​​
​​
​3
​​ √
​8x
​−
​2
​
​1
​​
​​
​
​​

2 Convert
(
9
x
)
1
2
(9x)
​
​2
​
​1
​​
​​ to square root.
9
x
8
x
−
1
2
3
√
​9x
​
​​
​3
​​ √
​8x
​−
​2
​
​1
​​
​​
​
​​

3 Use this rule:
a
b
=
a
b
√
​ab
​
​​ =√
​a
​
​​ √
​b
​
​​ .
9
x
8
x
−
1
2
3
√
​9
​
​​ √
​x
​
​​
​3
​​ √
​8x
​−
​2
​
​1
​​
​​
​
​​

4 Since
3
×
3
=
9
3×3=9, the square root of
9
9 is
3
3.
3
x
8
x
−
1
2
3
3√
​x
​
​​
​3
​​ √
​8x
​−
​2
​
​1
​​
​​
​
​​

5 Use Multiplication Distributive Property:
(
x
y
)
a
=
x
a
y
a
(xy)
​a
​​ =x
​a
​​ y
​a
​​ .
3
x
8
3
x
−
1
2
3
3√
​x
​
​​
​3
​​ √
​8
​
​​
​3
​​ √
​x
​−
​2
​
​1
​​
​​
​
​​

6 Calculate.
3
x
×
2
x
−
1
2
3
3√
​x
​
​​ ×2
​3
​​ √
​x
​−
​2
​
​1
​​
​​
​
​​

7 Use this rule:
(
x
a
)
b
=
x
a
b
(x
​a
​​ )
​b
​​ =x
​ab
​​ .
3
x
×
2
x
−
1
2
×
3
3√
​x
​
​​ ×2x
​
​2×3
​
​−1
​​
​​

8 Simplify
2
×
3
2×3 to
6
6.
3
x
×
2
x
−
1
6
3√
​x
​
​​ ×2x
​
​6
​
​−1
​​
​​

9 Move the negative sign to the left.
3
x
×
2
x
−
1
6
3√
​x
​
​​ ×2x
​−
​6
​
​1
​​
​​

10 Use Negative Power Rule:
x
−
a
=
1
x
a
x
​−a
​​ =
​x
​a
​​
​
​1
​​ .
3
x
×
2
×
1
x
6
3√
​x
​
​​ ×2×
​
​6
​​ √
​x
​
​​
​
​1
​​

11 Use Quotient Rule:
x
a
x
b
=
x
a
−
b
​x
​b
​​
​
​x
​a
​​
​​ =x
​a−b
​​ .
\[3\times 2\sqrt[2}-\frac{1}{6]{x}\]

12 Simplify
1
2
−
1
6
​2
​
​1
​​ −
​6
​
​1
​​ to
1
3
​3
​
​1
​​ .
3
×
2
x
3
3×2
​3
​​ √
​x
​
​​

13 Simplify.
6
x
3
6
​3
​​ √
​x
​
​​

Answer:

[tex](9x)^{\frac{1}{2} }.(8x^{\frac{-1}{2} })^{\frac{1}{3} }\\\\=9^{1/2}.x^{1/2}.8^{1/3}.x^{-1/2.1/3} \\\\=3.2.x^{1/2}.x^{-1/6} \\\\\\=6.x^{1/2-1/6}\\\\=6x^{1/3}[/tex]

Step-by-step explanation:

2x+y =8 and y=x-7 solve by substitution

Answers

Answer:

you can do this by this please vote also

Al sumar su doble, su mitad y 15 se obtiene 99.
​

Answers

Answer:x = numero

2x= doble

x/2= mitad

sumamos todo : x+2x+x/2+15=99

7x/2= 99-15

7x= 84(2)

x=168/7

x=24

comprueba sumando 24+48+12+15=99 suerte!!!

Step-by-step explanation:

The value of the unknown number is 33.6

Let the unknown number be "x"

The half of the number is 0.5x

Double of the number is expressed as 2x

Adding this functions together and 15 and equating to 99 will give;

0.5x + 2x + 15 =99

Solve for x

2.5x = 99 - 15

2.5x  = 84

x = 84/2.5

x = 33.6

Hence the value of the unknown number is 33.6

Learn more here: https://brainly.com/question/16510024


Determine the intercepts of the line.
x-intercept(_,_)
y-intercept(_,_)

Answers

Answer:

the X - intercept is (-7,0)

the Y - intercept is (0,2)

Step-by-step explanation:

the Y intercept is where the line crosses the Y axis

the X intercept is where the line crosses the X axis

Hope this helps

Will give brainliest

Answers

i dont no but can someone help me on this???

Pick one thing about the U.S. Constitution including its amendments that you think should be changed. What modifications that you would make? Explain your reasons for making this change. Please write a 5 paragraph essay that details the changes

the answer is b= - 4

Can someone please solve this before I get my phone taken away?

Answers

Answer:

option 1 or should be

Step-by-step explanation:

4/1.5 is 2.6 and 2/3 as a fraction is 66666 so yeah

Help me asap please!! I'll give brainliest

Answers

Answer:

first one

Step-by-step explanation:

HELP PLZ can someone simplify this equation

Answers

7n² + 48n + 42

Combine like terms, -8n x -6n= 48n

                                  -6 x -7= 42

Answer:

-49n^3 -n²+92n+42

Step-by-step explanation:

(7n²-8n-6)(-6n-7)

-42n^3-49n²+48n²+56n+36n+42

-49n^3 -n²+92n+42

Solve.

24 + d = 30

d =

Answers

Answer:

I think d = 6 because 24 + 6 = 30

Answer:

d=6

Step-by-step explanation:

Events A and B are disjointed. P(A) = 3/10; P(B) =2/5 . Find P(A or B). 1/3 7/10 1/10 9/10

Answers

Answer:

7/10

Step-by-step explanation:

Given

P(A) = 3/10P(B) = 2/5

To find

P(A or B)

Solution

P(A or B) = P(A) + P(B)P(A or B) = 3/10 + 2/5 = 3/10 + 4/10 = 7/10

Answer:

7/10

Step-by-step explanation:

^

ex.
What is the measure of angle K?
11°
O 25°
O 50°
O 65°

Answers

Answer: 25

i just took the quiz, it’s 25.

can anyone help me please heheh

Answers

I think it should be 3

Answer:

sqrt160

Step-by-step explanation:

Which expression is equivalent to (2x^2+3x-4)-(x^2-2x+4)​

Answers

Answer:

3x + 2 = 14

Step-by-step explanation:

Other Questions
Which term describes a situation in which one country can produce more of aproduct than other countries?a. surplus advantage b. absolute advantage c. deficit advantage d. comparative advantage Use two formulas for volume to find the volume of the figure. Express the answer in terms of x and then round to nearest whole number. Ray SP bisects mRST. If mRSP = 3x 2 and mPST = 9x -26 Answer: Find: mRST=Find:mRST PLEASEEEEE HELPPP!!! HL AASASASSSSASUnknown A(n)__ conveys an important idea by using a pattern repeatedly within a story A. archetypeB. motifC. clichD. flashback Write a recursive rule for the sequence 17.-11, -5, 1, ...show complete working format please (4,8) and (-2,16). how do you find the y-intercept In Paragraph 1, President Obama says: "You're not a varsity athlete the first time you play a new sport. You don't hit every note the first time you sing a song." Why does he include these examples? How do they contribute to the meaning of that paragraph? Use evidence from the text. What is the total price of a $32 restaurant tab if you leave a 20% tip? Speed of 5km. Pls help Southeast Airline had retained earnings of $1.5 million, sales of $5 million and net income of $0.5 million this year. It also paid dividends of $0.2 million this year. If the sales is projected to increase by 20% next year, what is the projected retained earnings for next year? what further observation led mendeleev to create the periodic table How was Spain able to establish an empire in the Americas during the 1500s? A low credit score can lead too? HELP MATH EXPERTS ! Points 15 !!. Need helpp Hurry to get brainliest!! Type in the name of the following compounds. Be sure to use the periodic table if needed. Why do you need to use soap when you wash oil from your hands Living organisms are made up of cells. Cells are organized at different levels to form very complex living organisms like your body. Each level has a specific role or job to perform.Which of the following lists these levels in the correct order of organization from the simplest to the most complex?Cells, tissues, organs, organ systems, organismsOrganisms, organ systems, organs, tissues, cellsTissues, cells, organs, organisms, organ systemsOrgans, organ systems, organisms, cells, tissues A stimulus is a change that occurs either inside or outside your body and brings about a