Sharon has a soap and water mixture that is 36% soap. How many liters of water must

Sharon add to 5 liters of this mixture to make a solution that is 12% soap?

Answers

Answer 1

The volume of water that Sharon must add to the 5 liters mixture to make a solution that is 12% soap is 10 liters

Dilution law

From the question, we are to determine how many liters of water must Sharon add to 12% soap solution

Using the dilution law formula,

C₁V₁ = C₂V₂

Where C₁ is the initial concentration

V₁ is the initial volume

C₂ is the final concentration

and V₂ is the final volume

From the given information,

C₁ = 36%

V₁ = 5 liters

C₂ = 12%

V₂ = ?

Putting the parameters into the equation, we get

36 × 5 = 12 × V₂

180 = 12V₂

∴ V₂ = 180 / 12

V₂ = 15 liters

This means the final volume of the solution will be 15 liters.

Volume of water that must be added = V₂ - V₁

Volume of water that must be added = 15 liter - 5 liters

Volume of water that must be added = 10 liters

Hence, the volume of water that Sharon must add to the 5 liters mixture to make a solution that is 12% soap is 10 liters.

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Answer 2

Answer:

10 liters

Step-by-step explanation:

hope it helps:3


Related Questions

Factor completely
-2x^4+6x^3+8x^2

Answers

Answer:

-2x²(x + 1)(x - 4)

Step-by-step explanation:

Hello!

Factor:

[tex]-2x^4 + 6x^3 + 8x^2[/tex][tex]-2x^2(x^2 - 3x - 4)[/tex]        Take out GCF

Think: What numbers add up to -3 and multiply to -4?

Answer: -4 and 1

Continue:

[tex]-2x^2(x^2 - 3x - 4)[/tex][tex]-2x^2(x^2 - 4x + x - 4)[/tex][tex]-2x^2(x(x - 4) + 1(x - 4))[/tex]       Factor by Grouping[tex]-2x^2(x + 1)(x - 4)[/tex]

The complete factored form is -2x²(x + 1)(x - 4)

The 5 students in Mrs. Jackson's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered. 11, 3, 7, 9, 12 Find the mean and median travel times for these students. If necessary, round your answers to the nearest tenth.

Answers

Answer:

the mean in all of the numbers added together devided by how many numbers there are so it would be 8.4, and the median is the middle so it would be 9.

Step-by-step explanation:

your welcome

Screenshot 2022-05-05 2.
03.15 PM.p

Answers

Answer:

A. y= -2x-3

Step-by-step explanation:

multiply the parenthasis by -2 to get -2x-8 then add 5 to both sides with equals y= -2x-3

What is the area of this figure?

Answers

The answer is:
172 cm squared

Working out/ Explanation:
13 times 4 = 52
7 times 6 = 42
26 times 3 = 78
52+42+78= 172

Hope this helps!
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Leslie has a rectangular garden with an area of 24.7 square feet. if the length of the garden is 5.7 feet, what is the length of the diagonal of the garden? round to the nearest tenth.
a. 7.2 feet

b. 6.7 feet

c. 4.8 feet

d. 4.3 feet

Answers

The measure of the diagonal of the rectangular garden will be 7.2 feet. Then the correct option is a.

What is a rectangle?

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the centre.

Landon has a rectangular garden with an area of 24.7 square feet. If the length of the garden is 5.7 feet.

Then the width of the garden will be

Area = Length x Width

24.7 = 5.7 x  W

 W = 4.33

Then the measure of the diagonal of the rectangular garden will be

D² = L² + W²

D² = 5.7² + 4.33²

D² = 32.49+ 18.74

D² = 51.23

D = 7.2

D ≅ 7.2 feet

Thus, the correct option is a.

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choose the function to match the graph.
a) f(x) = log x + 2
b) f(x) = log x - 2
c) f(x) = log (x + 2)
d) f(x) = log (x - 2)

Answers

The answer to your question is C f(x) = log (x+2)

HELPPPP ASAP ILL GIVE BRAINLY!!! Identify bottom material based on refraction. Water, Glass, Air

Answers

Your answer for air is correct. Glass has a higher refractive index compared to water.
So the answers should go in this order: Water, Glass, Air

Explanation:
Light moves slower in glass, so glass has a higher refractive index than water. This means that light is refracted at a greater angle

What is the distance between (22,-3) and (1, -3)?
0 -31
units
0 -15 units
2
- 15 units
3 units

Answers

Answer:

Option D

Step-by-step explanation:

Distance between two points

The y-value of the two points is unchanged. So, the line is parralel to x-axis.

The distance will be the diffrence between the x-co ordinates.

[tex]\sf Distance = 1 - (-2\dfrac{1}{2})[/tex]

             [tex]\sf =1+\dfrac{5}{2}\\\\= \dfrac{2}{2}+\dfrac{5}{2}\\\\=\dfrac{7}{2}\\\\=3\dfrac{1}{2}[/tex]

The value of √-4 and not -2 because

Answers

Answer:

Step-by-step explanation:

The value of √-4 and not -2 because

-2 * -2 = + 4.

Also there is no real number whose square is a negative.

Hi Student!

This question can seem quite complex but it has a simple explanation.  Just imagine, what is the purpose of a square root?  It shows what can by multiplied against itself and produce the number that is in the square root.  That is why when we take the square root of 4 we get 2 and -2 because they both produce the number 4 when we square them.  Whenever we square a number, no matter if it's positive or negative, the answer will always be positive.  This is because in order to get a negative number only one can be negative to overcome the positive otherwise it's just a double negative.

Therefore, there is a solution to the question of what is the square root of -4.  What we do is practically take out the negative because the square root of -1 is equal to i.  So we take the following steps

Separate the square root

[tex]\sqrt{-4}[/tex][tex]\sqrt{4}*\sqrt{-1}[/tex]

Simplify the expression

[tex]\sqrt{4}*i[/tex][tex]2*i[/tex]

Looking at what we have done, we see that although the explanation behind it might seem complex the actual solving portion isn't too hard when explained.  Therefore, the solution to the square root of -4 would be 2i.

Lori is interested in astronomy. She wants to build a scale model of the solar system in a nearby park. She is using a table that lists the planets’ average distance from the sun in millions of miles.

Answers

Answer: 8.2831

Step-by-step explanation:

Please give a proper explanation.

A book store carries 41 Ocean calendars and 48 Space calendars. Every day, the store sells 3 Ocean calendars and 4 Space calendars.

After how many days there are the same number of both calendars left in the store?

Answers

Answer:

After 7 days there are the same number of both calendars left in the store

Step-by-step explanation:

Let x be defined by the number of days,

41 total, 3 Ocean calendars sell each day

48 total, 4 Space calendars sell each day

expression: 41 - 3x = 48 - 4x

- we set them equal to find when x amount days are the same for both calendars

- we subtract due to selling each calendars

solving:

41 - 3x = 48 - 4x                      

add 4x to both sides, trying to get like terms on the same side

41 - 3x + 4x = 48 - 4x + 4x

41 + x = 48

now subtracts 41 from both sides to get x alone

41 - 41 + x = 48 - 41

x = 7

Answer answer questions please

Answers

Answer:

d

Step-by-step explanation:

it is 4/5ths of the answer towards one and the only other likely answer would seem as though b but b=9/10ths so D.

Answer: the answer is choice d .

Step-by-step explanation: as 4 over 5 is 0.8 which is less than one on a number line . It is close to one but ofcourse lesser . HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .

PLEASE HELP! A juice company gives prizes to anyone finding specially marked caps on its juice bottles. You and your friends buy 20 bottles of juice. You find that 4 of the bottles have winning caps. What are the odds in favor of winning a prize in the contest?

Answers

The odds in favor of winning a prize in the contest of the juice company which gives prizes to anyone finding specially marked caps is 3.2.

What is odds against?

In probability, the term odds against is the ratio of probability of non occurring a favorable event to the probability of occurring a favorable event. It can be given as,

[tex]\text{odd against}=\dfrac{P(\overline A)}{P(A)}[/tex]

Here, [tex]P(\overline A)[/tex] is the probability of not occurring a favorable event, and P(A) is the probability of occurring a favorable event.

A juice company gives the prizes to anyone finding specially marked caps on its juice bottles. The 4 bottles have winning cap in 20 bottles. Thus, the probability of winning is,

[tex]P(A)=\dfrac{4}{20}\\P(A)=\dfrac{1}{5}[/tex]

The probability of not winning is,

[tex]P(\overline A)=1-\dfrac{1}{5}\\P=\dfrac{4}{5}[/tex]

Thus, the odd against the winning is,

[tex]\text{odd against}=\dfrac{\dfrac{4}{5}}{\dfrac{1}{4}}\\\text{odd against}=\dfrac{16}{5}\\\text{odd against}=3.2[/tex]

Thus, the odds in favor of winning a prize in the contest of the juice company which gives prizes to anyone finding specially marked caps is 3.2.

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equation of a circle that has a center of (-4,-1) and passes through (1,-3)

Answers

Answer:

[tex](x + 4)^{2} + (y + 1)^{2} = 29[/tex].

Step-by-step explanation:

The equation of a circle of radius [tex]r[/tex] and center [tex](a,\, b)[/tex] is:

[tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex].

In this question, it is given that the center is [tex](-4,\, -1)[/tex], such that [tex]a = (-4)[/tex] while [tex]b = (-1)[/tex].

The radius of this circle could be found as the distance between the center of this circle, [tex](-4,\, -1)[/tex], and any point on the circle- such as [tex](1,\, -3)[/tex]. Using the distance formula, the radius of this circle would be:

[tex]\begin{aligned}r &= \sqrt{((-4) - 1)^{2} + ((-1) - (-3))^{2}} \\ &= \sqrt{29}\end{aligned}[/tex].

Therefore, the equation of this circle would be:

[tex](x - (-4))^{2} + (y - (-1))^{2} = (\sqrt{29})^{2}[/tex].

Simplify to obtain:

[tex](x + 4)^{2} + (y + 1)^{2} = 29[/tex].

100PT AND BRAINLIEST! PLEASE HELP! Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit.
f(x) = 1/4^x
g(x) = log(2x)

Select all that apply.

A. (0.4, 0.7)
B. (-0.3, 0.9)
C. (0.9, 0.3)
D. (1.4, 0.1)
E. (1.4, -0.3)

I'd really appreciate any help you can give! Thanks!

Answers

Answer:

C. (0.9, 0.3)

Explanation:

[tex]\rightarrow \sf \dfrac{1}{4^{x}} = \log(2x)[/tex]

The above given equation is critical to solve algebraically thus they have mentioned to solve it using a technology - graphing calculator.

When graphed the following equations:

They meet each other at: (0.9371, 0.2728)   [tex]\sf \underset{ solution }{ \xrightarrow{ \text{ nearest tenth } } }[/tex]  (0.9, 0.3)

f(x)=1/4^xg(x)=log2x

Let's graph both

Graph attached

Solution

(0,9,0.3)

data set a is a normal distribution with mean 20 end mean absolute deviation two Dallas it be is normal distribution with a mean of 10 and mean absolute deviation to which best describes the data sets select all that apply

Answers

Answer:

C. They are both symmetric about the mean.

D. Data Set B is more spread out than Data Set A.

Question :

Data Set A is a normal distribution with mean 20 and mean absolute deviation 2. Data Set B is a normal distribution with mean 10 and mean absolute deviation 4. Which best describes the data sets? Select all that apply.

A.They are both identical.

B. They both have the same median.

C. They are both symmetric about the mean.

D. Data Set B is more spread out than Data Set A.

Help me find the figure , area formula and graph the dots and find the area

Answers

Answer:

Looking at the given points we know that it is going to be a triangle because it only have 3 points.  Therefore the figure is a triangle and the area formula would be [tex]A=\frac{1}{2}*b*h[/tex].

You can look at the attached graph and what we see is that our height of the triangle is from [tex]y=-3[/tex] to [tex]y=4[/tex] which means that our height is 7 units high.  We can also see that our base starts at [tex]x=-4[/tex] and ends at [tex]x=4[/tex] making us have a base of 8 units.

We then plug in the values and solve

[tex]A = \frac{1}{2}*7\ units * 8\ units[/tex]

[tex]A = \frac{1}{2}*56\ units^2[/tex]

[tex]A = 28\ units^2[/tex]

Therefore, the area of our triangle is [tex]28\ units^2[/tex]

Hope this helps!  Let me know if you have any questions

24 seconds, 24 minutes, 24 hours, 24 days, 24 weeks, 24 months, 24 years, equals how many days?

Answers

Answer:

1345.01694448 days

Step-by-step explanation:

24 weeks = 24 x 7 = 168 days

24 months = 24 x 30 x 7 =  168 x 7 = 1176 days

24 seconds = 0.000277778 days

24 minutes = 0.0166667 days

24 hours = 1 day

Total = 1345.01694448 days

48.49 ÷ 0.4
Round your answer to the nearest hundredth

Answers

Answer:

121.23

Step-by-step explanation:

When you enter the equation, you get 121.225.  The hundredths place is 2 decimal places.  You need to determine if the 5 will make the 2 go up or down.  5 or more, raise the score, 4 or less, let it rest.  Since it is a 5, you will round up.  

Can I Get Some Help But Dont Mind The "You will use the same image for question 8 and 9."

Answers

Answer:

mPEQ is 220°, mPQ is 140°

Step-by-step explanation:

Let mPEQ = x and mPQ = y

The angle between two tangents is half the difference between the major and minor arcs.

(x - y)/2 = 40

The sum of same arcs is full circle

x + y = 360

Simplify the first equation

x - y = 80

Add up with the second one and solve for x

x - y + x + y = 80 + 3602x = 440x = 220

Find the minor arc measure

y = 360 - 220 = 140

Please help me with this math problem!! Will give brainliest!! :) (Pictures below)

Answers

Answer:

Step-by-step explanation:

1. Y-axis (the vertical one) is money

2.X-axis (the horizontal one) is days

What else do u need?

Answer:

See answers below

Step-by-step explanation:

Y-axis =    account balance  ( starts at 48 dollars)

X axis =     days

-3x+ 48             for  x <= 5

33                     for     5 <x  <= 10

-1.5 (x-16)+ 24   for    10< x <=  32

is 111 cubic unit.
What is the volume of the following figure?
All of the cubes are visible.
A.9 cubic units
B.7 cubic units
C. 10 cubic units
D. 8 cubic units

Answers

Answer:

B.7 cubic units

Step-by-step explanation:

If each block is 1 cubic unit, you can count the blocks

There are 7 blocks so there are 7 cubic units

PLEASE I REALLY NEED THIS BY TODAY A parent donated 50 cups for the juice. Each cup can hold 500 ml of juice. What is the least amount of juice needed if each student will receive one cup filled with juice? Show your work in the space below.​

Answers

Answer:

it 25,000

Step-by-step explanation:

if u multiply 50x500 it will give u 25,000 hope this works

(1) A workshop venue has 35 participants. Each participant shakes hands with each and every other participant. (a) How many handshakes will be made by the first participants? (1)​

Answers

There are 595 handshakes at maximum.

What is handshaking lemma?

Every finite undirected graph, the number of vertices that touch an odd number of edges is even.

given that:

Number of participants in a party = 35

Now,  By "handshake lemma":

number of shakes that would be

=n(n-1)2

=35(35-1)/2

=35*34/2

=35*17

= 595

Hence, there are 595 handshakes at maximum.

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Jordan invests $9,500 into an account that earns 3.25% annual interest. How much will
be in the account after 10 years if the interest rate is compounded daily or continuously?
Which compounded interest rate should Jordan choose?

Answers

The amount of money that Jordan will earn at the end of 10 years = $12,587.5

Calculation of compounded interests

The principal amount invested(P) = $9,500

The annual compounded daily interest rate(R) of the account = 3.25%

The time given (T) = 10 years

Simple interest (SI) = P×T × R/100

SI = 9,500×10×3.25/100

SI= 308750/100

SI= $3087.50

Therefore the total amount that would be in the account after 10 years = $9,500 + $3,087.50

= $12,587.5

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Can somebody help me with this one?

Answers

Answer:

i think b

Step-by-step explanation:

could be wrong sorry

Which two of the following expressions are equivalent to cos(theta)? answers are cos(2pi+theta), cos(-theta), cos(pi-theta), and cos(pi+theta), also can someone explain this concept to me, i literally dont understand

Answers

The expressions which are equivalent to the trigonometric function cos(theta) are cos(2pi+theta) and cos(-theta)

What is the equivalent expression?

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The given trigonometric expressions is,

[tex]f(\theta)=\cos\theta[/tex]

The cosine function is the periodic function. The function repeats itself after the 2π. Thus,

[tex]f(\theta)=\cos\theta\\f(\theta)=\cos(2\pi+\theta)[/tex]

The cosine function is an even function. Thus,

[tex]f(\theta)=\cos\theta\\f(\theta)=\cos(-\theta)[/tex]

Thus, the expressions which are equivalent to the trigonometric function cos(theta) are cos(2pi+theta) and cos(-theta)

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does the given value make the inequality true x + 9 21 when x = 15

Answers

x = 15 is in fact a solution of the given inequality.

Is the inequality true for the given value?

Here we have the inequality:

x + 9 > 21

We want to see if it is true for x = 15, to check it, we need to repace the value:

15 + 9 > 21

24 > 21

This is true, 24 is larger than 21, then we conclude that x = 15 is a solution of the given inequality.

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what is 1258 divided by 24 with remainder

Answers

Answer:

50

Step-by-step explanation:

I got you this the answer

The required result of the division can be written as:

1258 ÷ 24 = 52 R 14, where R 14 means "52 with a remainder of 14".

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation.

For example 4/2 = 2

When you divide 1258 by 24, the result is a whole number with a remainder.

To find the result of this division, you can use a long division.

24 ) 1258 (52

    -   120

--------------------

       58

    -  48

--------------------

        14

--------------------

So, 1258 divided by 24 is equal to 52 with a remainder of 14.

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Pollsters take a survey of people at a ball game to collect and analyze data about favorite leisure activities of star city’s residents. would this study be biased? why or why not? no, it is not biased. the sample of people at the ball park is representative of star city’s residents. no, it is not biased. all people at the ball park will respond to the survey. yes, it is biased. not all people at the ball park will respond to the survey. yes, it is biased. the sample of people at the ball park is not representative of star city’s residents.

Answers

Using sampling concepts, it is found that the correct option regarding the sample is given as follows:

It is biased. The sample of people at the ball park is not representative of star city’s residents.

What is sampling?

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, we have that only one group is sampled, that is, the people that went to the ballgame, hence the sample is not representative and the correct option is given by:

It is biased. The sample of people at the ball park is not representative of star city’s residents.

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Answer:

d

Step-by-step explanation:

edge

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