You purchased concentrated cleaner that must be diluted (watered down)
before use. Container A is the cleaner, which is a 20% solution. Container B is
pure water. You are mixing together the contents of Container A and
Container B to produce 80 gallons of 5% solution. How many gallons from
each container are needed to create the 80 gallons of 5% cleaning solution?
Write your answers as integers only.
Container A: 20% Cleaning Solution =
gallons
Container B: Pure Water =
gallons

Answers

Answer 1

Answer:

The volume of the concentrated 80 gallons mixture is 20 gallons

The volume of water in the 80 gallons mixture is 60 gallons

Step-by-step explanation:

The given parameters are;

The content of Container A = The cleaner

The concentration of the cleaner = 20% solution

The content of Container B = Pure water

The concentration of the desired solution = 5%

The volume of the required solution = 80 gallons

Let x represent the volume of the concentrated solution and y represent the volume of water in the 80 gallons mixture

Therefore, we have;

20/100 × x + y×0 = 5/100×80

x + y = 80

y = 80 - x

20/100 × x + (80 - x)×0 = 5/100×80

0.2·x = 4

x = 4/0.2 = 20

x = 20 gallons

y = 80 - x = 80 - 20 = 60

y = 60 gallons

The volume of the concentrated solution (80 gallons mixture) = x = 20 gallons

The volume of water in the 80 gallons mixture = y = 60 gallons.


Related Questions

The line passing through which two points is parallel to the line x - 2y = 16?

I need help anyone fast please

Answers

The two points are (0,-8)&(16,0) i used Desmos download it its great for problems like these

3x²+5x-10=0 find the values of a,b and c​

Answers

Answer:

a = 3

b = 5

c = -10

Step-by-step explanation:

ax^2+bx+c

HELP MY BROTHER NEEDS HELP WITH AN ASSIGNMENT BUT I DO NOT KNOW HOW
Order the values from least to greatest. |–4|, 10, –12, |3| A. |–4|, |3|, 10, –12 B. |3|, |–4|, 10, –12 C. –12, |–4|, |3|, 10 D. –12, |3|, |–4|, 10

Answers

The answer is letter C.

Step-by-step explanation:

hope this helps

-12 < -4 < 3 < 10

Answer:

D. –12, |3|, |–4|, 10

Step-by-step explanation:

| - 4|, 10, - 12, |3|

4, 10, - 12, 3

- 12, 3, 4, 10

Question 2
The cell membrane controls what enters and exits the cell to maintain
A.energy
B. Photosynthesis
C.respiration
D.homeostasis

Answers

Answer D is correct

On January 1, 2010, Joline deposits $1000 in a bank account that does not earn interest. For the next 12 months she deposits $25 each month. Then she withdraws $25 each month for the next 12 months. On January 1, 2010, Sofia deposits $1100 in an account that earns 0.25% interest each month.

a. Write two models: one for the amount in Joline's account and one for the amount in Sophia's account. State what the variables in your models represent.

b. In what months and years do the accounts have approximately the same amount, and what are the amounts?​

Answers

Answer:

$1000 + $25m and $1300 - 25m ;

1100 + 2.75m

2010 (4th month)

2011 ( 7th month)

Step-by-step explanation:

Joline's account :

Initial deposit = $1000

Monthly deposit = $25

Monthly withdrawal = $25

Number of months = 12

Let m = number of month at any point in time

Initial deposit + total deposit

Amount in Joline's account ; first 12 months

$1000 + $25m - - - (1)

Next 12 months :

$1000 + $25 *12 - 25m

1300 - 25m

Sofia's account :

Deposit amount = $1100

Interest per month = 0.25% = 0.0025

1100 + (1100 * 0.0025 * m)

1100 + 2.75m - - (2)

To find the month:

Equate equation 1 and 2, then find m

$1000 + $25m = 1100 + (1100*0.0025*m)

1000 + 25m = 1100 + 2.75m

25m - 2.75m = 1100 - 1000

22.25m = 100

m = 100 / 22.25

m = 4.494

In year 2010, they have approximately the same amount in the fourth month

1300 - 25m = 1100 + 2.75m

1300 - 1100 = 2.75m + 25m

200 = 27.75m

m = 200 / 27.75

m = 7.207

In 2011 ; they have approximately the se amount in the 7th month

y=−2x+9 write in standard form

Answers

Answer:

2 x − y = − 9

Step-by-step explanation:

I am not 100% sure but I think this is right.

Answer:

Step-by-step explanation:

2x+y=9

what is the x variable and y variable? ​

Answers

Answer:

x is the hours worked and y is the money earned

Step-by-step explanation:

Usually the x variable is the independent variable

The independent variable is the variable that does not rely on anything

The y variable is the dependent variable

The dependent variable is the variable that relies on the independent variable

In this case the money earned depends on how many hours you work for

I hope this helps :)

Answer:

I believe that it would be x is hours worked and y is dollars earned but I could be wrong I skipped a year of math because I completed it so quickly now I cant remember some stuff

PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

9 is 39

After 8 months, you have been able to save $937. You have the ability to save $130 per month. Build a model and write an explanation of the y- intercept. What is the rate of change?

Answers

Given:

After 8 months, you have been able to save $937.

You have the ability to save $130 per month.

To find:

The model for the situation and y-intercept and rate of change.

Solution:

Let y be the ability to saving after x months.

Ability to save in one month = $130

Ability to save in x months = $130x

So, total ability is

[tex]y=130x+b[/tex]      ...(i)

where, b is initial savings.

After 8 months, you have been able to save $937.  So, the point is (8,937).

Put x=8 and y=937 in (i),

[tex]937=130(8)+b[/tex]

[tex]937=1040+b[/tex]

[tex]937-1040=b[/tex]

[tex]-103=b[/tex]

So, the y-intercept is -103. Here, negative sign represents that we cannot able to save initially or we have loan or liabilities of $103.

Put b=-103 in (i).

[tex]y=130x+(-103)[/tex]  

[tex]y=130x-103[/tex]

On comparing with slope intercept form, we get

Slope = 130 and y-intercept = -103

Therefore, the slope is 130 and y-intercept is -103.

Mike has a loan of $36,320. This loan has a simple interest rate of 6% per year. What is the
amount of interest that will be charged on this loan at the end of the first year?
Help:(

Answers

Answer:

ummm well that hard let me solve it real quick

Step-by-step explanation:

:/

Answer the following correct

Answers

Answer: a

Step-by-step explanation:

Two students used different methods to measure the length of their model bridge

project. One student measured the bridge length in feet using 11n−2.9. The second

student measured the bridge length in feet using 5n + 6.4 What is the value of n if

the two measurements are equal?

Answers

Answer:

Two students used different methods to measure the length of their model bridge

project. One student measured the bridge length in feet using 11n−2.9. The second

student measured the bridge length in feet using 5n + 6.4 What is the value of n if

the two measurements are equal?

Step-by-step explanation:

Two students used different methods to measure the length of their model bridge

project. One student measured the bridge length in feet using 11n−2.9. The second

student measured the bridge length in feet using 5n + 6.4 What is the value of n if

the two measurements are equal?

Please help look at the picture

Answers

Answer:

The correct answer would be D


What is the slope of the line?

Answers

The slope of a line is rise/run. The formula is y=mx+b. But to find it on a graph you have to pin point 2 coordinate points. Doesn’t matter which ones they are. And then you have to put them in a y2-y1 over x2-x1 and that will give you slope.

Answer:

1

Step-by-step explanation:

what is 4/7 in the lowest terms

Answers

Answer:

4/7 is already in lowest terms

Help me with the geometry work

Answers

Answer:

Step-by-step explanation:

The thing you have to realize is that the diagonals of a parallelogram bisect each other. So  DF = BF. With that fact, you get

4y + 19 = 10y - 11               Add 11 to both sides

4y+19+11 = 10y-11+11          Combine

4y + 30 = 10y                    Subtract 4y

4y-4y +30 = 10y - 4y        Combine

30 = 6y                             Divide by 6

y = 30/6

y = 5

plz help I'll give brainest

Answers

Answer:

B

Step-by-step explanation:

absolute value is 2½

hope it helped

Answer: B

Why?
The absolute value of a positive number is positive, the answer is 2 1/2

PLS , help me asap :(( , im so frustrated , idk how to do these :c

Answers

Answer:

y intercept = 5

Step-by-step explanation:

In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

Answer:

Step-by-step explanation:

i don't want to make u mad but i'm taking a test with that same question and i got 29.25 but i'm also not the smartest

Formula One race cars can reach speeds of approximately 100 meters per second. What is this speed in meters per minute?

0.6 meters per minute
1.67 meters per minute
600 meters per minute
6,000 meters per minute

Answers

Answer:

6,000 meters per minute

Step-by-step explanation:

Answer:

D. 6,000 meters per minute

Step-by-step explanation:

It's right on edg 2020

hope it helps (;

Have a good day and good luck !!!!!!!!!!!!!!!!!!!!!!!!!!!!!

There are some nickles,dimes and quarters in a large piggy bank.For every 2 nickles there are 3 dimes.For every 2 dimes there are 5 quarters.There are 500 coins total.How many Nickles,Dimes and Quarters are in the piggy bank?

Answers

Answer:

I have no clue

Step-by-step explanation:

What is the square root of 40000 step by step
Thx for everything that answers

Answers

The answers 200 of u have an iPhone u can ask siri what the square root of whatever number is and it will tell u the correct answer

Which shows the equation below written in the form ax2 + bx + c = 0?
x + 9 = 4(x-1)^2
LOOK AT THE PICTURE REALLY EASY

Answers

Answer:

D

Step-by-step explanation:

We have the equation:

[tex]x+9=4(x-1)^2[/tex]

To convert this to standard form, we can simply expand.

First, expand the right-hand side:

[tex]x+9=4(x^2-2x+1)[/tex]

Distribute the right:

[tex]x+9=4x^2-8x+4[/tex]

Subtract 9 from both sides:

[tex]x=4x^2-8x-5[/tex]

Finally, subtract an x from both sides:

[tex]0=4x^2-9x-5[/tex]

Flip:

[tex]4x^2-9x-5=0[/tex]

Hence, our answer is D.

Solve the equation. Determine the number of solution. -8(x - 3) = -8x-24
No solution
O One solution
0 Infinitely many solutions

Answers

The answer is no solution

Terry has $5.79 to go shopping Which mixed number below is the fraction equivalent to $5.79? 500 a 5 79/100 b. 5 79/1000 57 9/100 d 57 9/10​

Answers

Answer:

579/100 is the same if u turned it into a decimal it would be 5.79

Step-by-step explanation:

you would do 579 divided by 100 and that will give you 5.79  

Answer:

the answer is 579/100

Step-by-step explanation:

Kiera wants to increase her savings account to a balance of $1,350. Her current balance is $174 and she adds $84 a month to her savings.

How many months will it take for her to reach her goal of $1,350?

18 months
16 months
12 months
14 months

Answers

Answer:

Her goal : 1350

What she has now: 174

she earns 84$ a month

answer is 14 months because 84* 14 is 1176 and if u add 174 $ to that it will give u 1350.

Step-by-step explanation:

I think 14 months bc if uu add 84 to 14 it will get you 1,350

Triangles ABC and DEF are similar. Find e.

A.) 11
B.) 12
C.) 10
D.) 9

Answers

Answer:

C) 10

Step-by-step explanation:

The triangle on the right shows that the side AB is 4 and the triangle on the left shows that the side DE is 8. Based on these two numbers I can conclude that the triangle DEF is double the size of triangle ABC. With this information, I can find e by doing 5*2=e and get 10 as my answer.

Hope this helps you :)

The answer is C.10 (:

don't guess!! pls help!!
THERE'S 4 IMAGES.

Answers

Answer:

pic one is rock cycle, pic 2 crystaline structure, and pic three and 4 are the same pictures as question 2

Step-by-step explanation:

What is the solution of the equation modeled below?

Answers

Answer:

3x+4=7x-8

Step-by-step explanation:

hoped it helped..

You are given a various set of values: xbar = 12 ybar = 16 r = .46 Sy = 18 Sx = 6 Find a and b, then write them as an equation for a line. b = a = yhat =

Answers

Answer:

Slope, b = 1.38 ; intercept, a = - 0.56 ;

Y = - 0.56 + 1.38x

Step-by-step explanation:

Given that :

xbar = 12

ybar = 16

r = .46

Sy = 18

Sx = 6

The equation of a line can be expressed as :

Y = a + bx

Where ;

a = intercept ; b = slope ; x = independent variable ; y = dependent variable

The slope b ; can be obtained using the relation :

b = r(Sy / Sx)

= 0.46(18/6)

= 0.46(3)

= 1.38

The intercept a, can be obtained using the relation :

Ybar - b(Xbar)

16 - 1.38(12)

16 - 16.56

a = - 0.56

Hence ;

Slope, b = 1.38 ; intercept, a = - 0.56

Th equation of the line will be :

Y = - 0.56 + 1.38x

2+8+9+4-3-4-6+9+5+3+8

Answers

[tex]2+8+9+4-3-4-6+9+5+3+8 \\ \\ = > 10 + 9+4-3-4-6+9+5+3+8 \\ \\ = > 19+4-3-4-6+9+5+3+8 \\ \\ = > 23-3-4-6+9+5+3+8 \\ \\ = > 20-4-6+9+5+3+8 \\ \\ = > 16-6+9+5+3+8 \\ \\ = > 10+9+5+3+8 \\ \\ = > 19+5+3+8 \\ \\ = > 24 + 3 + 8 \\ \\ = > 27 + 8 \\ \\ = > \green{\boxed{ 35}}[/tex]

Answer:

35

Step-by-step explanation:

2+8+9+4-3-4-6+9+5+3+8

10+13-3-4-6+9+16

23-13+25

10+25

35

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