You need a 15% alcohol solution. On hand, you have a 180 mL of a 45% alcohol mixture. How much pure
water will you need to add to obtain the desired solution?
You will need
mL of pure water
to obtain
mL of the desired 15% solution.
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Answers

Answer 1

Let x be the amount of pure water that you use.

The solution you have contains 0.45 • 180 mL = 81 mL of alcohol.

However much water you use, it won't add any alcohol to the solution, so only its total volume changes. Its new volume would be (180 + x) mL. You want the new solution to have a concentration of 15% so that

(81 mL) / ((180 + x) mL) = 0.15

Solve for x :

81 / (180 + x) = 0.15

81 / 0.15 = 180 + x

540 = 180 + x

x = 360

Then the new solution will have a total volume of 180 mL + 360 mL = 540 mL.

So you need to use 360 mL of pure water to get 540 mL of 15% solution.


Related Questions

The perimeter of a rectangular room is 60 feet. Let x be the width of the room (in feet) and let y be the length of the room (in feet). Select all of the equations below that could model this situation.
2(x+y)=60
2x+2y=60
x+2y=60
2x+y=60
x+y=60

Answers

Answer:

Step-by-step explanation:

2(x+y)=60

2x+2y=60

The second is the same  as the 1st but with the distribution

                    perimeter formula: P=2(W+L)

 We can distribute .Then P =  2W+2L

Plzzzzz answer quick ill mark brainliest

Answers

(a) Coordinates:

A (0, 0)
B (3, 2)
C (9, 6)

Triangle A to B has a change of +3 in x values, but Triangle B to C has a change of +6 values so each triangle doesn’t have the same changes in x values.

Triangle A to B has a change of +2 in y values, Triangle B to C has a change of +4 values so each triangle doesn’t have same change in values.

Triangle A to B change in y over change in x = 2/3, Triangle B to C change in y over change in x = 4/6, both have decimal values of 0.66. Therefore, each triangles has the same ratio of change in y over change in x.

HELPPPPPP!!! PLEASEEE!!!
Given a ⊥ c and b ⊥ c, what can you say about a and b?
A. a ⊥ b, because if two lines are perpendicular to the same line, then they are perpendicular to each other.
B. a and b form a straight line, because if two lines are perpendicular to the same line, then they form a straight line.
C. a and b are intersecting lines because if two lines are perpendicular to the same line, then they are intersecting lines.
D. a || b, because if two lines are perpendicular to the same line, then they are parallel to each other.

Answers

Answer:

Answer is B.

Step-by-step explanation:

C is the middle line and A is on one side and B is on the other.

Hope it helps :)

What is the absolute value of these respective values?
18 and -91

Answers

Answer:

|18| and |91|

Step-by-step explanation:

absolute values means that you just take away any negative signs basically

Help - I need the range for the graph

Answers

The picture is blurry I can’t see

Answer:

4, 11

Step-by-step explanation:

The lowest y value is 0, the highest value is 11

how many times as large is 600000000 as 2000

Answers

Answer: 300,000 times as large

Step-by-step explanation: 600000000/2000 = 300000

Answer:

300000

Step-by-step explanation:

This is a division problem.

600000000/2000 = 600000/2 = 300000

Answer: 300000

The sum of two numbers is 25. Create an equation using two variables that represents this situation.

Answers

Answer:

it could be multiple things it depends what its really asking, id say X+11=25

Step-by-step explanation:

X+11=25

X=14

Short Response What is the cost of 15 tomatoes?
HOME GROWN VEGETABLES
Cucumbers 6 for $2
Peppers 12 for $9
Tomatoes 6 for $4

Answers

Answer:

60

Step-by-step explanation:

15x4= 60

How many significant figures in 3400?

Answers

3400
There are only 2 sig-figs in 3400

Answer:
2 sig-figs

Last year, Netanel paid 15% of his earnings in federal taxes. He paid $3000. Jose also paid 15% of his earnings in federal taxes, but he paid $3600. How much more did Jose earn than Netanel?

Answers

Netanel / 3000/0.15=$20,000

Jose / 3600/0.15=$24,000

Jose earned 4,000$ more than netanel

Assume you have applied for two scholarships, a Merit scholarship (M) and an Athletic scholarship (A). The probability that you receive an Athletic scholarship is 0.18. The probability of receiving both scholarships is 0.11. The probability of getting at least one of the scholarships is 0.3. Let M denote the event that you will receive a Merit scholarship. Let A denote the event that you will receive an Athletic scholarship. Answer questions 11-15. What is the probability that you will receive a Merit scholarship

Answers

Answer:

The probability of obtaining a Merit Scholarship = 0.23

Step-by-step explanation:

From the given information:

The probability of obtaining a merit scholarship P(A) = 0.18

The probability of obtaining both P(A ∩ M) = 0.11

The probability of getting at least one P(A ∪ M)  = 0.3

The objective is to determine the probability of obtaining a Merit Scholarship.

So, as given:

if M represents Merit Scholarship and A represent Athletic Scholarship,

the probability of obtaining a Merit Scholarship is as follows;

P(M) = P(A ∪ M) + P(A ∩ M) - P(A)

P(M) = 0.3 + 0.11 - 0.18 = 0.23

P(M) = 0.23

What is 6 1/3 - 4 1/9

Answers

Answer:

2 2/9

Step-by-step explanation:

6 1/3 - 4 1/9

1/3: 1x3 3x3= 3/9

1/9: 1x1 9x1= 1/9

3/9 - 1/9 = 2/9

6-4=2

Answer: 2 2/9

Given the following dimensions, what is the volume of a block? Length: 7
cm, Width: 3 cm, Height: 4 cm *
63 cubic centimeters
84 cubic centimeters
21 cubic centimeters
12 cubic centimeters

Answers

Answer:

84 cubic centimeters

Step-by-step explanation:

L×W×H

deandre finished a race in 6 minutes. how many seconds is this?

Answers

Answer:

360 seconds. 60 seconds in a minute multiplied by 6

Step-by-step explanation:

Nick earns 108$ for working 9 hours. Ian earns 77$ for working 7 hours. Ryan earns 92$ for working 8 hours and Justin earns 115$ for working for 10 hours. Who has the highest hourly wage?


(Not mine its my little sister's math test Imao)

Answers

Nick has the highest hourly wage at $12 dollars per hour.

If Shane’s average number of jumps completed is greater than one-half, then the eighth graders earn 50 points. If not, the seventh graders earn 50 points. Which grade should be awarded 50 points?

Answers

Answer:4 2/4

Step-by-step explanation:

Hope this helps

Answer:

The 8th Graders.

Step-by-step explanation:

I don't have an explanation but have a good day.

Daria states that the value of the expression –45 x 2 – x + 2.5 is sometimes negative. Which of the following values of x would support Daria’s claim? Select two that apply.
– 5 1/4
1
2.3
– 1.84

Answers

I’m just putting this so someone else can get Brainliest :)

What is 9/10 divided by 3/4?

Answers

Answer:

6/5

Step-by-step explanation:

hi! when dividing fractions, we use the KCF rule, which stands for keep,change,flip. we keep the first fraction the same, change the division symbol to multiplication, and flip the second fraction to its reciprocal. therefore, we now have:

9/10 * 4/3

now, we can multiply the numerators and denominators.

36/30

we can simplify this.

6/5

Estandieu's cell phone plan includes 4 GB of data. On the 2nd day of his 31 day billing
cycle he received a text message from his service provider that he has already used
16% of his data. At this rate, will he use more than 4 GB this month?

Answers

Answer:78

Step-by-step explanation:

78 that is it I think I have use my cactlatur

Find the common ratio of the geometric sequence 20,80,320,...

Answers

Answer:

1:4

Step-by-step explanation:

all of the numbers are being multiplied by 4

1 An insurance salesperson earns a 4% commission on every piece of automobile insurance that she writes. What is her commission if she sells a policy that has an $890 premium?​

Answers

$890 x .04 = 35.6$ bonus

Help pleaseeee!!
-4x - 3x^2 + 6 - 9x^2

Answers

Answer:

The answer would be -12x^2-4x+6

Step-by-step explanation:

This is the simplest form it could get since you subtract the two x^2 together.

Your answer would be -12x ^ 2 - 4x+6

Does a linear relation exist between age and HDL​ cholesterol? A. There appears to be a positive linear association because r is positive and greater than the critical value. B. There is little or no evidence of a linear association because r is positive and greater than the critical value. C. There appears to be a negative linear association because r is negative and less than the negative critical value. D. There is little or no evidence of a linear association because the absolute value of r is less than the critical value. More

Answers

Answer:

The correct answer is - option D. There is little or no evidence of a linear association because the absolute value of r is less than the critical value.

Step-by-step explanation:

Given:

Age Cholesterol

49 55

27 45

52 40

38 57

44 28

The linear correlation coefficient between age and HDL cholesterol can be computed by the=

r = Cov (X, Y)/ δx.δy

=v∑XY /√∑X2. ∑Y2

rv=  negative 0.192

The absolute value of r is less than the critical value so there is no or very little evidence of linear association.

A drag racer accelerated from 0 m/s to 200 m/s in 5 s.what was the acceleration

Answers

Answer:

40 m/s/s.

Step-by-step explanation:

Acceleration = velocity / time

= 200 / 5

= 40 m/s/s.

Answer:

a = 40m\s^2

Step-by-step explanation:

acceleration is the change of velocity in a certain time interval, which means that it is equal to ( V final - V initial ) \ t

so acceleration here is ( 200 - 0 ) \ 5

which is equal to: 40 m\s^2 and that means that the racer is speeding up by 40 meters each second

Hope it helps! :)

10 points
3. Austin solved the equation as shown below. Which describes the error
that Austin made in his work?
Austin's Work:
-3 + 7x - 9 + 8x = 54
15x - 6 = 54
15x = 60
x = 4
A. Austin did not combine 7x and 8x correctly.
B. Austin did not combine -3 and -9 correctly.
C. Austin did not divide correctly
D. Austin did not make an error in his work.

Answers

Answer:

B. he didn't combine -3 and -9 correctly

The error that Austin made in his work is  Austin did not combine -3 and -9 correctly.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that  solved the equation -3 + 7x - 9 + 8x = 54 as shown below.

-3 + 7x - 9 + 8x = 54

15x - 6 = 54

15x = 60

x = 4

We need to check where did Austins has done wrong.

-3 + 7x - 9 + 8x = 54

15x-12=54

For Austin while combining -3 and -9 he got -6 which is wrong.

So Austin did not combine -3 and -9 correctly.

Hence, the error that Austin made in his work is  Austin did not combine -3 and -9 correctly.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

if the circumference of a circle is 221cm find the area of the circle​

Answers

Answer:

first find the radius of the circle r^2=221/22/7 then find the area

Answer:

3885.93 cm² or 3886.64 cm²

Step-by-step explanation:

Hello!

Circumference of a Circle: [tex]C = 2\pi r[/tex]

We first have to find the radius. To do so, we can plug in 221 for "C" and isolate "r".

Find the Radius[tex]C = 2\pi r[/tex][tex]221 = 2\pi r[/tex][tex]110.5 = \pi r[/tex][tex]35.1732424233 = r[/tex][tex]r \approx 35.17[/tex]

Area of a Circle: [tex]A = \pi r^2[/tex]

Now that we have the radius, we can use it to find the area using the area formula.

Find the Area[tex]A = \pi r^2[/tex][tex]A = \pi (35.17)^2[/tex][tex]A = \pi(1,236.9289)[/tex][tex]A = 3,885.9267452529[/tex][tex]A \approx 3,885.93[/tex]

The area is approximately 3885.93 cm².

If we used the full number (all decimals given by the calculator), you would have an answer around 3886.64.

Solve for the value of N

Answers

Answer:n=9

Step-by-step explanation:

90°=(3n+2)°+(7n-2)°
=3n+7n + 2- 2
=10n
=> n=90/10=9
So, n=9

WILL GIVE BRAINLYIST!!!
Apples are ____% of the total number of fruits.

Answers

Answer:

34%

Step-by-step explanation:

Because out of all ripe fruits is 85% of 5692000.

Write a quadratic function f whose zeros are 8 and -3.

Answers

Answer:

f(x) = x² - 5x - 24

Step-by-step explanation:

Step 1: Define

Roots/zeros = 8, -3

Step 2: Rewrite

x = 8, -3

Step 3: Write quadratic function

Set zeros into factored binomials: (x + 3)(x - 8)Expand: x² - 8x + 3x - 24Combine like terms: x² - 5x - 24

Answer:

f(x) = x^2 - 5x - 24.

Step-by-step explanation:

In factor form that would be:

f(x) = (x - 8)(x + 3)

f(x) = x(x + 3) - 8(x + 3)

= x^2 + 3x - 8x - 24

f(x) = x^2 - 5x - 24.

Total volume of tree?

Answers

Answer:

9,000 cubic feet (250 m3) of wood in the branches.

Step-by-step explanation:

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