Two pools are being filled with water. To start, the first pool contains 2164 liters of water and the second pool contains 2500 liters of water. Water is being added to the first pool at a rate of 31.75 liters per minute. Water is being added to the second pool at a rate of 21.25 liters per minute.

After how many minutes will the two pools have the same amount of water?

How much water will be in each pool when they have the same amount?

Answers

Answer 1

The amount of water in each pool at a particular time are illustrations of linear functions

Both pools will have the same amount of water after 32 minutesBoth pools will have 3180 liters at 32 minutes

How to determine the time they have the same amount

For the first pool, we have the following parameters

Initial amount = 2164 litersRate = 31.75 liters per minute

So, the equation of the amount of water in the pool is:

y = 2164 + 31.75x

For the second pool, we have the following parameters

Initial amount = 2500 litersRate = 21.25 liters per minute

So, the equation of the amount of water in the pool is:

y = 2500 + 21.25x

When both pools have the same amount of water, we have:

2164 + 31.75x = 2500 + 21.25x

Collect like terms

31.75x - 21.25x = 2500 - 2164

Evaluate the like terms

10.5x = 336

Solve for x

x = 32

This means that they will have the same amount of water after 32 minutes

Substitute 32 for x in y = 2164 + 31.75x

This gives

y = 2164 + 31.75 * 32

y = 3180

Both pools will have 3180 liters at 32 minutes

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Related Questions

volume of a sphere when radius is 50

Answers

Answer:

Step-by-step explanation:

Givens

r = 50

Formula

V = 4/3 pi r^3

Solution

V = 4/3 * 3.14 * 50^3

V = 4.19 * 50^3

V = 4.19 * 125000

V = 523750

What is the equation of a line with a slope of -1 and a y-intercept of -5?

Answers

Answer:

equation: y = -x - 5

Step-by-step explanation:

using the formula: y = mx + b ..........where m is the slope and b is y-intercept

so the equation in slope intercept form will be: y = -1x -5

The area of an 14-cm-wide rectangle is 322 cm2. What is its length?
The length is
cm.

Answers

Answer:

The length of rectangle is 23 cm.

Step-by-step explanation:

DIAGRAM :

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large{14\ cm}}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large{14\ cm}}\put(-0.5,-0.4){\bf}\put(-0.5,3.2){\bf}\put(5.3,-0.4){\bf}\put(5.3,3.2){\bf}\end{picture}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

SOLUTION :

Here's the required formula to find the length of rectangle :

[tex]{\longrightarrow{\pmb{\sf{A_{(Rectangle)} = l \times b}}}}[/tex]

A = Area l = length b = breadth

Substituting all the given values in the formula to find the length of rectangle :

[tex]\begin{gathered}\qquad{\longrightarrow{\sf{A_{(Rectangle)} = l \times b}}}\\\\\qquad{\longrightarrow{\sf{322 = l \times 14}}}\\\\\qquad{\longrightarrow{\sf{322 = 14l}}}\\\\\qquad{\longrightarrow{\sf{l = \dfrac{322}{14}}}}\\\\\qquad{\longrightarrow{\sf{l = \cancel{\dfrac{322}{14}}}}}\\\\\qquad{\longrightarrow{\sf{l = 23 \: cm}}}\\\\\qquad{\star{\underline{\boxed{\sf{ \pink{l = 23 \: cm}}}}}}\end{gathered}[/tex]

Hence, the length of rectangle is 23 cm.

[tex]\begin{gathered}\end{gathered}[/tex]

LEARN MORE :

[tex]\boxed{\begin {minipage}{9cm}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}p\sqrt {4a^2-p^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {minipage}}[/tex]

[tex]\rule{300}{2.5}[/tex]

Answer:

Area=322cm²Breadth=14cmLength=?

We know that,

[tex] \implies\displaystyle{Area_{(rectangle)}} = length(l) \times breadth(b)[/tex]

[tex]\implies\displaystyle{3 {22}^{} } = l \times 14[/tex]

[tex]\implies\displaystyle{ \frac{322}{14} = l }[/tex]

[tex] \implies \displaystyle{23=l}[/tex]

Thus,the value of length=23 cm.

plot the following points on a graph sheet. Verify if they lie on a line. A (1,3), B (3,5), C (4,6), D (6,8)​

Answers

Graph is attached

Hope this helps!

During a biology lab, students selected a flower to grow in a greenhouse. For the experiment, 4 students selected violets, 11
students selected lilies, and 3 students selected roses. If a single flower is picked at random, what is the probability that the
flower is a lily or a rose?
• Provide the final answer as a fraction.

Answers

Answer:

For the experiment, 4 students se students selected lies, and 3 students ... During a biology lab, students selected a flower to grow in a greenhouse.

Step-by-step explanation:

Lia scored 120 out of 250 in her exam , and Ash scored 170 out of 350 , who scored better ?​

Answers

Answer: Ash

Step-by-step explanation:

Convert both into a percentage so it is clearer

Lia- 48%

Ash- 48.57%

What is the exact value of 5 5/6- (1 1/4 +3 7/8)


Answers

Answer:

15/40 which simplified is 3/8

Step-by-step explanation:

To solve this equation, we first have to turn all mixed numbers into improper fractions so we can add and subtract them

When we do this we get, 35/5 - (11/4 + 31/8)

Since there is a negative (-) sign before the parentheses, we automatically sub in a -1 in there and we distribute

Now we have 35/5 - 11/4 - 31/8

We can’t subtract this directly since they all have different denominators, so we have to change them to a common denominator

The common denominator of 5 4 and 8 is 40 so we multiply both the numerators and denominators by whatever number it is so the denominators are 40

This gets us to 280/40 - 110/40 - 155/40

When we subtract all of this, we get…

15/40 which can be simplified to 3/8

Hope this helped, have a great day, and please award brainliest

Consider the diagram below.
5.66
x
у
5.66
Z
Which of the following represent the values of x, y, and z to the nearest hundredth?

Answers

Answer:

Step-by-step explanation:

y² = 5.66 × 5.66 ⇒ y = 5.66

x = z = 5.66√2 ≈ 8.00

The values of x, y and z in the given triangle are 8, 5.66 and 8.

What are triangles?

Triangles are a type of a polygon having three sides and angles.

Given is a triangle, having some unknown variables, we need to find their values,

So,

According to the figure we can say that the triangle is an isosceles triangle because the median is perpendicular to the base and dividing it into equal parts.

Therefore,

y² = 5.66 × 5.66 ⇒ y = 5.66

x = z = 5.66√2 ≈ 8.00

Hence, the values of x, y and z in the given triangle are 8, 5.66 and 8.

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PLEASE HELP WILL MARK BRAINLIEST

Answers

Step-by-step explanation:

[tex]{ \tt{9 {x}^{2} + 11x + 5}} \\ = { \tt{(18x + 11i)(18x + 11i)}}[/tex]

Ready
Practice: Understand Multiplication as Comparison - Quie - Level D
Which picture shows Chef A chopped 3 times as many carrots as Chef B?
Chef A
Chef A
Chef B
Chef B
Chef A
Chef A to
Chef B
Chef B 100
Type here to search
o
19
T
Rain to stop
6:03 PM
2/19/2022

Answers

Answer

Chef A

Explaination

Maggie has $16 to spend on lunch for the week she has already spent four dollars which inequality statement shows how much more money Maggie has left to spend for the week

Answers

Answer:

x ≤ $12

Step-by-step explanation:

Since Maggie has $16 to spend for the week, she can spend less than $16 or exactly $16. Thus, the inequality used would be ≤, which can be read as 'less than or equal to'.

Let the amount of money she has left to spend for the week be x.

Total spending for the week ≤ $16

$4 +spending for the rest of the week ≤ $16

$4 +x ≤ $16

Subtract both sides by $4:

x ≤ $16 -$4

x ≤ $12

A box in a shape of a cube with an edge length of 9 inches. Find the surface area of the box

Answers

Answer:

A=486in²

Step-by-step explanation:

Hope that helps!

please help now it kinda important i get it done soon or i cant go to a dance for my school tomorrow. im begging u ill give u 5 stars and a thanks and maby even a showt out thats how much this means to me.

Answers

Four apples.

Fifty percent - or half - of eight is four

For a certain triangle ABC, if a line intersects AC at D, intersects AB at E, and is parallel to CB, would the proportion AE | AD = EB | DC be accurate? Explain your answer.​

Answers

The given proportion of triangle ABC as AE/AD = EB/DC is; Not Accurate

Understanding Basic proportionality theorem(Thale's Theorem)

This theorem states that If a line is drawn parallel to one side of a triangle, then it cuts other two sides proportionally.

Thus, In ΔABC, DE || BC

By Thales theorem, we can say that;

AD/DB = AE/EC

Rearranging we can arrive at;

AE/AD = EC/DB

When we simplify further by adding 1 to both sides, we will get;

AD/AB = AE/AC

Thus, the given proportion is not accurate

Read more about Basic Proportionality Theorem at; https://brainly.com/question/14417137

what is the smallest possible average of five distinct positive even integers

Answers

Answer:

2+4+6+8+10/5

10 is average of this

The smallest possible average of five distinct positive even integers is 6.

To find the smallest possible average of five distinct positive even integers, to minimize the values of those integers.

The smallest distinct positive even integers start from 2, 4, 6, 8, 10, and so on.

To minimize the average, to choose the five smallest even integers. So, the five distinct positive even integers are:

2, 4, 6, 8, 10

To calculate the average, sum up these five integers and divide by 5:

Average = (2 + 4 + 6 + 8 + 10) / 5

Average = 30 / 5

Average = 6

So, the smallest possible average of five distinct positive even integers is 6.

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The difference of twice a number and 2 is at most 20. Use the variable w for the unknown number.​

Answers

Answer:

2w - 2 ≤ 20

Step-by-step explanation:

2w - 2 ≤ 20

Answer:

'w' are all values less than or equal to 11

Step-by-step explanation:

2w - 2 ≤ 20

2w ≤ 22

w ≤ 11

Someone helppppp me on this math problem

Answers

Answer:

whats the problem? ill do my best to help

Step-by-step explanation:

Hope this helps! Plz give brainliest! Also, plz sub to Kgirl633 on yt.

=
Given:
N = Natural number
| = Integer
Q = Rational number
Q' = Irrational number
R = Real number

The number
7/22
is in which of the sets N, I, Q, Q', R?

Answers

Answer:

  Q, R

Step-by-step explanation:

All of the listed sets of numbers are Real numbers. The fraction is not an integer, so is not in sets I or N. Because it is a fraction, it is in set Q, and because R includes Q, ...

  the number is in sets Q and R

Help me please please please

Answers

Answer:

15.52 is the perimeter

Step-by-step explanation:

Length(l)=5.06in

Breadth(b)=2.7in

Now,

Perimeter=2(l+b)

[tex]Perimeter=2(5.06in+2.7in)\\\\Perimeter=2(7.76in)\\\\Perimeter=15.52in[/tex]

Answer:

i think it's 15.52

what is the slope?

(2, -3)
(3, 3)

Answers

Answer:

6

Step-by-step explanation:

The slope is six
m=6

Find the vertex and focus of the parabola x^2+14x-8y+65=0

Answers

Answer:

heres the graph i don't rly understand this all but mabe it will help

Hope This Helps!!!

Find the surface area

Answers

280 bro: area of cross section x length. REWARD ME

Find the volume of the irregular
figure.
1 cm
4 cm
3 cm 1 cm
9 cm
?] cm
5 cm

Answers

Answer:

23 times 3 or just 23

ox

Step-by-step explanation:

Ordered: 30 mg. Available: 6 mg/2 ml. How many cc's should be given?

Answers

Answer:

10

Step-by-step explanation:

Based on the given conditions, formulate:

2×30÷6

Calculate:

(2×30)/6

Cross out the common factor (30 and 6):

2×5

Calculate the product or quotient:

10

10 cc's should be given, when Ordered: 30 mg. Available: 6 mg/2 ml.

What is division?

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have.

Ordered: 30 mg.

Available: 6 mg/2 ml.

now,

Based on the given conditions, formulate:

2×30÷6

Calculate:

(2×30)/6

Cross out the common factor (30 and 6):

2×5

Calculate the product or quotient:

10

Hence, 10 cc's should be given

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If Rob can eat 8 munchkins in 20 minutes, how long would it take him to eat 20 munchkins.

Answers

50 minutes
He can 8 munchkins in 20min, so,
8 munchkins in 20
8 munchkins in 20
4 minchkins in 10 (half of the minchkins)

The answer is: Rob can eat 20 munchkins in 50 minutes…

I hope it can help you :)

Will there ever be an
age, other than 14 and
7, where Pedro is twice
as old as his brother?
Explain.

Answers

Answer:

No

Step-by-step explanation:

They are 7 years apart. Therefore, the only age where Pedro will be twice as old is his brother is the age 14 because 7 is half of 14.

Hi!

Your answer is No.

This is because they are seven years apart in age. The only way for Pedro to be twice as old as his brother would be for

a + 7 = 2a

('a' is Pedro's brother's age)

Now, if we subtract a from both sides in the top equation, we get:

7 = a

There is only one solution to this equation.

What is the value of x?
D
(2x)
E R
(4x + 10)
V
700

Answers

Step-by-step explanation:

180° = 2x + 70 + 4x + 10

180° = 2x + 4x + 70 + 10

180° = 6x+ 80

180 - 80 = 6x

100 = 6x

6x = 100

x = 16.66

x ≈ 17°

What is the horizontal and vertical shift for the absolute value function below? f(x)=3|x+9|+6

Answers

a vertical stretch of 3, left 9 units, and up 6 units

Horizontal shift left 9 units and vertical shift up of 6 units

If f(x) = 2x − 5, then what is the value of f(4x − 1)?

Answers

Step-by-step explanation:

well, you put the input term into the place of the original variable (as with any actual constant value) :

f(4x-1) = 2(4x-1) - 5 = 8x - 2 - 5 = 8x - 7

we could call this now g(x) (= f(4x - 1)).

What is the value of the expression (5)^3

Answers

Given :-

To Find :-

A equivalent expression .

Solution :-

The given expression is ,

→ 5³ .

As we know that if there is aⁿ , where n is the power then we have to multiply the number at the base n times . Hence here ,

→ 5³ can be rewritten as

→ 5 * 5 *5

Simplify ,

125

Hence the required answer is 125 .

I hope this helps.

Let us evaluate

Explanation:

[tex]5³ = 5 × 5 × 5 = 125[/tex]

can also be understood as 5 cubed.

Whenever a number (x) is multiplied by itself three times, then the resultant answer is known as the cube of that number.

Thus, 5 to the 3rd power is equal to 125

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