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

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:

^

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


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

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]

If u understand this May u help me please

Answers

Answer:

Sure what you need help with?

Step-by-step explanation:

Solve.

24 + d = 30

d =

Answers

Answer:

I think d = 6 because 24 + 6 = 30

Answer:

d=6

Step-by-step explanation:

can anyone help me please heheh

Answers

I think it should be 3

Answer:

sqrt160

Step-by-step explanation:

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:

·Has to be a number​

Answers

Answer:

x=-4

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 :>

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.

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).

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.

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

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

Answers

Answer:

x = 2

Step-by-step explanation:

have a nice rest of your day

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

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

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 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

Help me asap please!! I'll give brainliest

Answers

Answer:

first one

Step-by-step explanation:

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

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

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

Answers

Answer:

3x + 2 = 14

Step-by-step explanation:

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.

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)

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:

Use to isolate the variable

Answers

Answer:

reciprocals

Step-by-step explanation:

HAVE A GOOD DAY AND BE SAFE WIT THIS RONA

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:

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

Answers

Answer:

you can do this by this please vote also

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