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

Nancy is knitting a scarf. It takes her 0.2 of an hour to knit each inch of the scarf. She wants the length of the scarf to be 60 inches.

Answers

Answer:

2 hours

Step-by-step explanation:

60 *20

Answer:

The answer would be 30 minutes.

Step-by-step explanation:

Chestnut is trying to break his school record for eating the most hot dogs in 10 minutes he needs to eat more than 72 hot dogs to break his record after 1 minute Joy has eaten 71 for the hot dogs lady represent the number of hotdogs Joy East per minute for the next 9 minutes​

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Chestnut has diabetes

A student builds a model of her bathroom. The scale is 1:25. In the scale model, the students bed is 3 inches long.
HOW LONG IS THE STUDENTS ACTUAL BED?


PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

75

Step-by-step explanation:

The answer is 75 because you have to cross mutiply:

1       3

25     x

3 x 25 is 75

how much was asher initial deposit

Answers

Is there more to this question because it’s missing the information.

Answer the question please:
The correct answer will be marked as brainliest =)
thanks xoxo

Answers

(3^2)^2 * (10^3)^2
= 3^4 * 10^6
81 * 1000000 = 81,000,000
Answer 81,000,000

Answer:

sol;

=(3^2)^2×(10)^6

=(3)^4×(10)^6

=81×10^6

=8.1×10^7

=81,000,000

Nicole is using a ¾ cup scooper to scoop some potting soil from a big bag. The bag contains 9 cups of potting soil. How many times will she have to scoop to use up the entire bag of potting soil?

Answers

Answer:

12 times

Step-by-step explanation:

Given that :

Amount of potting soil in bag = 9 cups

Size of scooping cup = 3/4 cup

The number of times scooping will be done to use entire bag of potting soil will be ;

(Amount of potting soil in bag ÷ size of scooping cup)

(9 ÷ 3/4)

9/ 1 * 4/3

= 36/3

= 12 times

Hence, scooping will have to be done 12 times in other to use entire bag if potting soil.

What is the first step in solving this problem?
⅘ + ½ =

Answers

Answer:

Find the least common denominator, which is 10.

Setting both fractions up so that they have a common denominator

Which of the following sets couldn't represent the sides of a triangle?
A.(1,2,4)
B.(5,5,5)
C.(7,8,7)
D.(9,10,11)

Answers

Answer:

A

Step-by-step explanation:

Opposite sides are equal

Is 152 points in 8 games
171 points in 9 games equivalent

Answers

Answer:

Yes, they are equivalent.

solve: -3 |x-3| = -6 ​

Answers

Answer:

x = 5

Step-by-step explanation:

-3 * (x-3) = -6

3x+9 = -6 (divide by 3)

-x + 3 = -2 (minus 3)

-x = -5 (multiply by -1)

x = 5

Answer & Step-by-step explanation:

PLEase Hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Mr. Ash owns a tree, which is 42 feet tall. He estimates that this tree is 75% as tall now as it will be when fully grown. How tall will the tree be when it is fully grown?

Answers

Answer: 56

Step-by-step explanation: Divide 42 by 3 and then multiply by 4

If the ordered pairs graphed are all equivalent ratios, what ordered pair is missing?

Answers

Answer:

12,3

Step-by-step explanation:

x axis is going by 4

y axis is going by 1

Max's town voted on a new speed limit. Of the votes received, 576 were in favor of the new speed limit and 64 were opposed. What percentage of the votes were in favor of the new speed limit?​

Answers

9 I think that the Answer so if not delet this Answer

4. A math tutor makes $12 an hour for the first 40 hours she works during a week and $24 an hour for each hour over 40 hours. As an exercise for her students, she had them graph her total weekly pay in dollars as it relates to her number of hours worked. Now you will do the same. (6 points: Part I - 1 point; Part II - 2 points; Part III - 1 point; Part IV - 2 points)
Part I: What equation models the tutor's total weekly pay y in dollars as it relates to the number of hours x that she has worked if the tutor has worked 40 hours or fewer?








Part II: What equation models the tutor's total weekly pay y in dollars as it relates to the number of hours x that she has worked if the tutor has worked more than 40 hours?








Part III: Combine the slope-intercept equations found in parts I and II into one piecewise equation.








Part IV: Graph the tutor's total weekly pay in dollars as it relates to her number of hours worked by using the piecewise equation from part III and the coordinate grid below.

Answers

Answer:

See below

Step-by-step explanation:

Part I

When x ≤ 40, the equation is

y = 12xPart II

When x > 40

y = 12*40 + 24(x - 40) ⇒ y = 24x - 960 + 480   ⇒y = 24x - 480Part III

[tex]y = \left \{ {12x, if x < or = 40 \atop {24x - 480, if x>40}} \right. \\[/tex]

Part IV

The graph is attached

How many times bigger is 2 1/4 than 2

Answers

Answer:

1 1/8

Step-by-step explanation:

Divide 2 1/4 by 2.

-|-2-3(6)| evaluation

Answers

Answer:

-20

Step-by-step explanation:

The answer is -20 because you have to subtract some numbers and then multiply some

help please !!!!!!!!!!!!!!

Answers

Answer:

two of the points are (0,5) and (2.5,0)

Answer:

Place one dot at y = 5 x = 0. This represents the y intercept or the "5" in the equation.

Then place dots at:

(-3,10)

(-2,9)

(-1,7)

(1,3)

(2,1)

(3,-1)

(4,-3)

(5, -5)

(6, -7)

(7, -9)

The slope is -2x which makes the line slope downward, and the points above are the points on the line. Starting at the y intercept we can use the rise over run method to plot the points.

I hope this helps!!

- Kay :)

(BRAINILEST IF YOU ANSWER!) The graph below shows the costs of blueberries at two different fruit stands. Which fruit stand, A or B, offers a better deal on blueberries? Explain your thinking!!

Answers

Answer:

B

Step-by-step explanation:

B cost less money bet has the same weight as A

Answer:

B.

Step-by-step explanation:

B. is less money to buy the blueberries. The highest point you can buy them at is pretty low compared to A.

HELP! - 14 points!!!

Find three consecutive ODD integers with a sum of 75. First, write an equation, then solve.

Answers

Answer:

x+x+2+x+4 = 75

3x + 6 = 75

3x = 75-6

3x = 69

x = 23

x = 23

x+2 = 23+2      = 25

x+3 = 23+4      = 27

please helpppppppppppp

Answers

Answer:

20/3

Step-by-step explanation:

Slope = Rise/Run

11-(-9)/2-(-1)

= 20/3

It would be a positive slope (line going upwards)
The slope (m) would come out to 6

Hannah has another candle that is 14 cm tall. How fast must it burn in order to also be 6 cm tall after 4 hours? Explain your thinking.

Answers

Answer:

The candle must burn at 2cm per hour in order to be 6cm tall after 4 hours. I know this because the candle has to burn 8cm in 4 hours and that amounts to 2cm per hour.

Step-by-step explanation:

Lets solve!

We have to find out how much of the candle needs to be burned!

14cm - 6cm = 8cm

The candle must burn 8cm in 4 hours!

Lets find out how much the candle burns in 1 hour.

[tex]\frac{8cm}{4hours}[/tex]= 2cm per hour

The candle must burn at 2cm per hour in order to be 6cm tall after 4 hours. I know this because the candle has to burn 8cm in 4 hours and that amounts to 2cm per hour.

Woohoo, We did it! Would you like to mark my answer as brainliest? I would love that!

Given that triangle ABC congruent to triangle DEC and m

Answers

Answer:

m∠ABC=67°

Step-by-step explanation:

Shelly pays $22.75 for 3.5 yards of fabric. What is the price per yard of fabric?

Answers

Answer:

Price per yard is $6,5

Step-by-step explanation:

22.75/3.5 = 6,5

$6.5 per yard of fabric

To control an infection, a doctor recommends that a patient who weighs 92 pounds be given 320 milligrams of antibiotic. If the antibiotic is given proportionally according to the patient's weight, how much antibiotic should be given to a patient who weighs 138 pounds?
A 400 milligrams
B 480 milligrams
C 550 milligrams
D 600 milligrams

Answers

Answer:

480 milligrams

Step-by-step explanation:

92 pounds → 320 milligrams

138 pounds → 320/92 x 138 = 480 milligrams

If there are 20 values in a data set in order from smallest to largest, what is
the median of the data set?
A. The 10th value
B. The 9th value
C. The mean of the 10th and 11th values
D. The mean of the 9th and 10th values

Answers

Answer:

C The mean of the 10th and 11th values

Step-by-step explanation:

Strike the lowest and largest number until you get 1 or 2:

1, 2, 3,4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17, 18, 19, 20

2, 3,4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17, 18, 19

3,4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17, 18

4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17

5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16,

,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15

,7 8, 9, 10, 11, 12, 13 ,14,

8, 9, 10, 11, 12, 13

9, 10, 11, 12

10, 11,

Finding the Mean:

10+11

21

21/2

Mean:

10.5

ANSWER ASAP !! NEED HELP ASAP

Answers

Answer:

130

Step-by-step explanation:

The two angles add up to be 180 degrees, so you could find the value of the second angle to be 110 degrees, but it is asking for the x value so you would choose 130 since when you subtract 20 from 130 you get 110.

Write the number 2.1 x 10-6 in standard form.

Answers

0.0000021 you need to divide 2.1 by 10^6

Which number line models the solution set of -2x + 7 > 17?Pls do 2 answers for good measures (and brainliest)

Answers

Step-by-step explanation:

We can immediately eliminate answers B and C because we have >, meaning that the circle on the number line has to be open.

-2x+7>17

subtract 7 on both sides

-2x>10

divide by -2. remember that dividing by a negative flips the greater than or less than sign.

x<-5

the answer is D

Last year's computer models were priced at $1,850. They are now discounted 20%. What is the new retail price to the nearest dollar of that computer? $370 $1,480 $1,510 $1,830

Answers

Answer:

$1480

Step-by-step explanation:

Step one:

Given that the price last year was $1850

and now the discount is 20%

we first need to solve for 20% of $1850

=20/100*$1850

=0.2*$1850

=$370

This means that the price was reduced by $370

so the new retail price is calculated as

=$1850-$370

=$1480

The correction option is the second in the list of options

7th grade math, I will give brainliest to right answer!
t/4 = 1
what is the value of t?

Answers

Answer:

t = 4

Step-by-step explanation:

Anything divided by itself is 1

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