You purchased concentrated cleaner that must be diluted before use. Container a is the cleaner, which is 20% solution. Container b is pure water. You are mixing together the contents of container a and container b to produce 40 gallons of 9% solution. How many gallons from each container are needed to create the 40 gallons of 9% cleaning solution?

Answers

Answer 1

Answer:

18 gallons from container [tex]a[/tex] and 22 gallons from the container [tex]b[/tex] to be mixed to get the required mixture.

Step-by-step explanation:

Given that the container [tex]a[/tex] has 20% concentrated cleaner

and container [tex]b[/tex] has pure water which has 0% cleaner.

Let x gallons from container a and y gallons from the container b are mixed to get a 9% concentrated solution.

So,

[tex]9\%\; \text{of}\; (x+y) = (20\% \; \text{of}\; x )+(0\% \; \text{of}\; y)\cdots(i)[/tex]

As the total amount of the final solution= 40 gallons

So, [tex]x+y=40\cdots(ii)[/tex]

Using the value of equation (ii) in equation (i), we have

9% of 40 = 20% of x

[tex]\Rightarrow 0.09\times 40=0.2 \times x[/tex]

[tex]\Rightarrow x=\frac{0.09\times 40}{0.2}[/tex]

[tex]\Rightarrow x=18[/tex] gallons.

From equation (ii),

18+y=40

[tex]\Rightarrow y=40-18=22[/tex] gallons.

Hence, 18 gallons from container [tex]a[/tex] and 22 gallons from the container [tex]b[/tex] to be mixed to get the required mixture.


Related Questions

Asappppp , pls help me :((

Answers

Answer:

Not a function

Step-by-step explanation:

This is not a function because every x value has more than one y value. Think about it this way. If you have a person and you are telling them to go to three different places at once, they can't. That means this isn't a function. Hope this helps!

Answer: That is not a function

Hope it helped

Step-by-step explanation:

Check my answers plz <3\

Answers

Answer:

all three are correct

Step-by-step explanation:

Joseph’s lunch at a restaurant costs $13.00, without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax. What is the total cost of the lunch, including the tip without tax? *

Answers

Answer:

17% of 13 is 2.21

13 + 2.21 = 15.21

Step-by-step explanation:

Joseph's lunch costs = $13 without taxes

He leaves tip for the waiter = 17% of cost of the lunch

= 17% of $13

= 13 ×  

= ( 13 × 0.17)

= $2.21

Total cost of lunch + tip = 13 + 2.21

                                      = $15.21

-4 2/3 times (-1 1/2)
SHOW YOUR WORK TO GET BRAINLIEST~~~~!!~

Answers

Answer:

-4 2/3 times (-1 1/2)

Step-by-step explanation:

14.6 repeating

Leila pumped 6 gallons of water out of her pool each minute for 24 minutes what was the total change in the amount of water in her pool answer in gallons

Answers

Answer:

The answer is 144.

Step-by-step explanation:

The question said 6 gallons of water comes out every minute. So, if you multiply 6x24 you get the answer of 144.

Upload the worksheet with your constructions below.

Answers

Answer:

I attached a pic of my work, its 100% correct.

Its a bit messy....

5.7 x 3.6 help me asap​

Answers

Answer:

20.52

Step-by-step explanation:

I used a calculator

The conversion rates between kilograms and pounds are: 1 k g ≈ 2.2 l b s 1 l b ≈ 0.454 k g A. How many kilograms is a backpack that weighs 6 pounds? 2.724 B. How many pounds is a cat that weighs 11 kilograms?

Answers

Answer:

[tex]6\ lb = 2.724\ kg[/tex]

[tex]11\ kg = 24.2\ lb[/tex]

Step-by-step explanation:

Given

[tex]1\ kg = 2.2\ lb[/tex]

[tex]1\ lb = 0.454\ kg[/tex]

Required

- Convert 6 lb to kg

- Convert 11kg to lb

To solve for (a), we make use of the second conversion unit:

[tex]1\ lb = 0.454\ kg[/tex]

Multiply both sides by 6

[tex]6 * 1\ lb = 0.454\ kg * 6[/tex]

[tex]6\ lb = 2.724\ kg[/tex]

Hence, a 6lb backpack weighs 2.724kg

Solving (b): 11 kg to lb

Here, we make use of the first conversion unit

[tex]1\ kg = 2.2\ lb[/tex]

Multiply both sides by 11

[tex]11 * 1\ kg = 2.2\ lb * 11[/tex]

[tex]11\ kg = 24.2\ lb[/tex]

Hence, the cat weighs 24.2lb

How do I find x in this triangle?

Answers

Answer:

B=5

Step-by-step explanation:

a2+b2=c2

12squared+b2=13squared

144+b2=169 Subtract by 144 on both sides

b2=25 Find square root of 25

b=5

An angle measures 90º more than the measure of its supplementary angle. What is the measure of each angle?

Answers

Is the a shape. I assume the 90 degree angle is a right angle and the others are also 90

Answer:

theyre both 90 degrees because supplementary angles always add up to 180

this is science but pls help

Answers

2 is the answer!! stream dynamite and back door :)

Boat travel 27 miles in two hours how many miles travel in 1/2 hours

Answers

Answer:

6.75

Step-by-step explanation:

6 1/7 as an improper fraction

Answers

43/7 is an improper fraction

If the numerator is equal to or greater than the denominator then the fraction will be an improper fraction thus 6 1/7 as 43/7 can show the fraction is improper.

What is a fraction?

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

The fraction is the division of the two numbers but the division is not wholly complete.

A fraction x/y has two terms x is called a numerator and y is the denominator.

An improper fraction is a fraction when x ≥ y.

Therefore, 6 1/7 = 6 + 1/7

⇒ (42 + 1)/7 = 43/7

Since 43 > 7 so it will be an improper fraction.

Hence "If the numerator is equal to or greater than the denominator then the fraction will be an improper fraction thus 6 1/7 as 43/7 can show the fraction is improper".

For more about fractions,

https://brainly.com/question/10354322

#SPJ2

Jessica wants to go on a school trip next month. The trip will cost $100 and she already has $10 and plans to babysit for $5 an hour to earn the rest of the money.
A. Write an equation that could be used to determine h, the number of hours Jessica needs to babysit to earn $100.


B. From your equation, determine the number of hours she needs to babysit.

Answers

Answer:

Step-by-step explanation:

100=10+5x  x is the hours she needs to babysit

90=5x

x=18

She needs to babysit for 18 hours at $5 an hour if she already has $10

Mr. Bell earns a yearly salary of $34,567. Mr. Lee earns $22,999 per year. How much more does Mr. Bell earn
per year?

Answers

Answer:

34,567-22,999=11,568

The amount of paper that the copy shop used this month was a 25% increase of the amount of paper they used last month. What percent represents the amount of paper used this month? *

Answers

Answer:

You didn't include any image here, but numerically, the amount of paper consumed this month is 125% compared to last month.

If last month's consumption is represented by 4 equal shapes, then the current month's consumption will be 5 shapes.  

If last month's consumption is represented by 8 equal shapes, then the current month's consumption will be 10 shapes.  

this pattern keeps repeating.

A park is showing a movie on the lawn. The base of the screen is 6 feet off the ground and the screen is 22 feet high (see figure).

Answers

Answer:

A. 61.82°;

15.64°

B. 33.37°

Step-by-step explanation:

A.

✍️Angle of elevation from 15 ft:

A right triangle is formed. Apply trigonometric ratios formula to find the angle of elevation from 15 ft.

Thus,

Length of the side Opposite to reference angle = 22 + 6 = 28 ft

Adjacent length = 15 ft

Thus, we would have:

[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{15} [/tex]

[tex] tan(\theta) = 1.8667 [/tex]

[tex] \theta = tan^{-1}(1.8667) [/tex]

[tex] \theta = 61.82 [/tex] (2 d.p)

✍️Angle of elevation from 100 ft:

Thus,

Length of the side Opposite to reference angle = 22 + 6 = 28 ft

Adjacent length = 100 ft

Thus, we would have:

[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{100} [/tex]

[tex] tan(\theta) = 0.28 [/tex]

[tex] \theta = tan^{-1}(0.28) [/tex]

[tex] \theta = 15.64 [/tex] (2 d.p)

B.

✍️Distance you'd be from the screen if you lie on the ground and make an angle of elevation of 40° to the top of the screen:

Adjacent length = your distance from the screen = x

Opposite length = 22 + 6 = 28 ft

Angle of elevation = 40°

Tge trigonometric ratios formula to use would be:

[tex] tan(\theta) = \frac{opp}{adjacent} [/tex]

Plug in the values

[tex] tan(40) = \frac{28}{x} [/tex]

Multiply both sides by x

[tex] x*tan(40) = 28 [/tex]

Divide both sides by tan(40)

[tex] x = \frac{28}{tan(40)} [/tex]

[tex] x = 33.37 [/tex] (2 d.p)

4. Triangle HEF is the image of triangle FGH after a 180 degree rotation about point K. Select all statements that must be true.

a. Triangle FGJ is congruent to triangle FEH.
b. Triangle EFH is congruent to triangle GFH.
c. Angle KHE is congruent to angle KFG.
d.Angle GHK is congruent to angle KHE.
e. Segment EH is congruent to segment FG.
f. Segment GH is congruent to segment EF.

Answers

Answer: C, E, F

Step-by-step explanation: dude tbh idek but ik that it’s the right answer

The true statements are:

Angle KHE is congruent to angle KFG.Segment EH is congruent to segment FGSegment GH is congruent to segment EF.

Given:

Triangle HEF is the image of triangle FGH after a 180-degree rotation about point KAnd Six statements

To find:

The true statements out of given sic statements.

Solution:

ΔHEF is the image of ΔFGH after a 180°rotation about point K.

This simply implies that ΔFGH is congruent to ΔHEF. As no dilation is done while rotation of the ΔFGH.

In congruent ΔFGH and  ΔHEF

HF = HF (common)GH = EFFG = EH∠FGH=∠HEF∠GFH=∠EHF

      Can also be written as:

        ⇒ ∠KFG=∠KHE

∠GHF=∠EFH

       Can also be written as:

        ⇒ ∠GHK=∠EFK

So, from the given statements the true statements are:

Angle KHE is congruent to angle KFG.Segment EH is congruent to segment FGSegment GH is congruent to segment EF.

Learn more about the congruency of triangles here:

brainly.com/question/19258025?referrer=searchResults

brainly.com/question/19561311?referrer=searchResults

Can anyone give me the answer?

Answers

Answer:

The 2nd one/Green

Step-by-step explanation:

A plane figure with five straight sides and five angles.

3 is the answer to your question

Write the number for one million six hundred thousand .

Answers

Answer:

1,600,000

Step-by-step explanation:

Answer:

1001600

Step-by-step explanation:

What is the next term in the following sequence? 54, -18, 6,.....

Answers

-2 is the right answer

What is an
equation of the line that passes through the points (-6,5) and (6, 7)?

Answers

Answer:

[tex]y = \frac{1}{6} x + 6[/tex]

Step-by-step explanation:

The equation of a line can be written in the form of y=mx+c, where m is the gradient and c is the y-intercept. This form is known as the slope-intercept form.

Use the gradient formula below to find the value of m:

[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]

*(x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate.

[tex]m = \frac{7 - 5}{6 - ( - 6)} \\ m = \frac{2}{12} \\ m = \frac{1}{6} [/tex]

Substitute the value of m into the equation:

y= ⅙x +c

To find the value of c, substitute a pair of coordinates.

When x= 6, y= 7,

[tex]7 = \frac{1}{6} (6) + c \\ 7 = 1 + c \\ c = 7 - 1 \\ c = 6[/tex]

Thus, the equation of the line is y= ⅙x +6.

9 - 8(x+1) < 3 (2 - 4x)​

Answers

Answer: x < 5/4

Step-by-step explanation:

A ship anchored in a port has a ladder which hangs over the side. The length of the ladder is 200cm, the distance between each rung in 20cm and the bottom rung touches the water. The tide rises at a rate of 10cm an hour. When will the water reach the fifth rung?

Answers

Bakugou here:

Answer:

The tide raises both the water and the boat so the water will never reach the fifth rung.

Step-by-step explanation:

Brainlyest??!!

Vicki earns $30 for washing 6 cars. If Vicky charges the same rate, how many cars. must she wash to earn $35? (Label your answer for full credit)

Answers

Answer:

7

Step-by-step explanation:

if she got 30 from 6 cars then 30/6 is 5. $5 per car times 7 is $35

6*5=30 so she charges 5 dollars a car. so to earn 35 dollars she would have to wash an extra car here is the equation 30/6=5 anyway she needs to wash 7 cars because 7*5=35

If a line is parallel to y=-6x +3 , what is the slop of that line ?

A.-6
B.3
C.8
D.1/6

Answers

Answer:

Step-by-step explanation:

A

Please help!!!!!!!!!!!!!!!!

Answers

Answer:

I don't know much about linear regression, but I would say the answer is 15.25. The x-value number closest to 75 is 77, and the corresponding y value is 16.5. Since there is a big difference between the other answers and 16.5, you can estimate and conclude that 15.25 is probably the answer. Sorry if this doesn't help much since I wasn't able to explain the correct way they asked you to do the problem. :/

You are running a fuel economy study. One of the cars you find is blue. It can travel 38 1/2 miles on 1 1/4 of gasoline. Another car is red. It can travel 21 3/5 on 4/5 of gasoline. What is the unit rate for miles per gallon for each​ car? Which car could travel the greater distance on 1 gallon of​ gasoline?

Answers

Answer:

Blue car: 30.8 miles per galon

Red car: 27 miles per galon

Blue car can travel longer distances on one galon!

Step-by-step explanation:

Blue car:

38 1/2=77/2=38.5 miles

1 1/4=5/4=1.25 gasoline

38.5/1.25=30.8miles per galon

Red car:

21 3/5=108/5=21.6 miles

4/5=0.8 gasoline

21.6/0.8=27 miles per galon

Find the perimeter. Simplify your answer.
6-4
b
b
6-4

Answers

Answer:

6-4 because if you meausure it by the sides

Find the value of x. Then find the measure of each labeled angle

Answers

Answer:

x = 109

Top Right Angle = 109

Bottom Right Angle = 71

Step-by-step explanation:

Notice the two right angles on the left and recognize that the figure is a a quadrilateral (4 sides). That means it adds up to a total of 360 degrees.

(x-38) + x + 90 + 90 = 360

2x + 142 = 360

2x = 218

x = 109

(x - 38) = (109 - 38)

71 degrees for bottom right angle

109 for top right angle

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