Silvia wants to mix a 20% apple juice drink with pure apple juice to make 4 L of a juice drink that is 80% apple juice. How much pure apple juice should she use?​

Answers

Answer 1

95141 1404 393

Answer:

  3 liters

Step-by-step explanation:

There's a simple and effective "visual" way to solve mixture problems that makes short work of this.

In the attached, the concentrations of the contributors are listed on the left. It can work well to put the largest contributor on top (though that is not strictly necessary). The target concentration is put in the middle between them, and the differences along the diagonals are computed.

The diagonal differences are reduced to lowest terms as a ratio in the right-hand column. These numbers can be compared to the problem statement to see how they relate.

In this case, the total is 4 L of juice, and the total of the ratio units is 4. Then the ratio units are the number of liters of the corresponding contributor:

3 L of 100% juice1 L of 20% juice
Silvia Wants To Mix A 20% Apple Juice Drink With Pure Apple Juice To Make 4 L Of A Juice Drink That Is

Related Questions

Baba Yaga lost her broom somewhere between her hut and Bald Mountain, and wants to get it back. She calculates that with a tailwind of 2 km/ h, she can fly from her hut to Bald Mountain in 6 hours. Baba Yaga starts her trip, finds her broom 40 km before Bald Mountain, and turns around and flies home. The entire journey takes 9 hours. Find the speed Baba Yaga flies in quiet weather (with no tailwind or headwind).

Answers

Answer:

18 km/h

Step-by-step explanation:

Let the speed of Baba Yaga is x

The speed with tailwind: x + 2The speed with headwind: x - 2

The distance to Bald Mountain:

6(x + 2)

The distance she actually travelled is less by 40 km:

6x + 12 - 40 = 6x - 28

The time she spent:

(6x - 28)/(x+2) + (6x - 28)/(x -2) = 9

Solve for x to find the speed:

((6x + 12) - 40)/(x + 2) + ((6x - 12) - 16)/(x - 2) = 96 - 40/(x + 2) + 6 - 16/(x - 2) = 940/(x + 2) + 16/(x - 2) = 340(x - 2) + 16(x + 2) = 3(x+2)(x - 2)40x - 80 + 16x + 32 = 3x² - 123x² - 56x + 36 = 0

Solving the quadratic equation we get:

x = 18 km/h(x = 2/3 discounted as not realistic)

someone help with math:

For which equation is b = 5 not the solution?

options:

1. 8 - b = 13
2. b + 6 = 11
3. b + 4 = 9
4. 12 - b = 7

Answers

Answer:

option 2 and 3

b+6=11

b+4=9

Answer:

1. 8 - b = 13

Step-by-step explanation:

It says for which equation is b = 5 not the solution.

So, we need to plug in 5 into every b, and find out which one is incorrect.

1. 8 - 5 = 13 (incorrect)

2. 5 + 6 (correct)

3. 5 + 4 = 9 (correct)

4. 12 - 5 = 7 (correct)

Therefore, option 1 is the answer to your question.

Solve the exponential equation.

2-x = 16

4
1/4
-4

Answers

Answer:

-4

Step-by-step explanation:

plot two points that are seven units from point c and also share the same y coordinates as point c

ANSWER IT QUICK PLEASE.

DUE AT 3:00PM​

Answers

Answer: 8 , -4 I think

Step-by-step explanation:

Answer:

The real answer is (8, -4) and (-6, -4)

PLEASE HELP mathematics

Answers

Answer:

21+10.5 which would equal 31.5

Step-by-step explanation:

Answer:

21+10.5 which would equal 31.5

Step-by-step explanation:

i have two bags of marbles. The first bag contains 4 red marbles, 2 blue marbles, and 3 green marbles. The second bag contains 6 red marbles, 3 blue marble, and 6 green marbles. I will randomly select one marble from each bag.

What is the probability that i will select a green
marble from each bag?
A.2/15
B.1/135
C.1/3
D.11/15​

Answers

Answer:

1/3

Step-by-step explanation:

You add up the amount in each bag then you take the amount of green then that will be the answer but since there is 2 bags it is 1/3

A large factory that builds machines has three shifts, one that starts at 4:00 A.M., one that starts at noon, and one that starts at 8:00 P.M. The manager of the factory wanted to know whether there is an association between an employee’s work experience (less than five years with the company, between five and twenty years with the company, over twenty years with the company) and the time of the employee’s shift. The manager selected a random sample of 125 employees and classified employees by their shift time and work experience. What is an appropriate pair of hypotheses for the manager to use?

Answers

Answer:

if the worker has more experience, then they will have longer shifts because they will be better at their job and be able to complete more tasks.

Step-by-step explanation:

use and "if then because" structure in a hypothesis, and use common logic based on the info provided :)

Answer:

[tex]H_{0}[/tex] : Work experience is independent of the time of an employee's shift

[tex]H_{A}[/tex] : Work experience is dependent on the time of an employee's shift

Step-by-step explanation:

Since we have one population but multiple variables, so we are using a chi-square test of independence. Thus, our null should be that there is no association, and the alternative that there IS an association.

PLS PLS PLS HELP ME ​

Answers

Answer:

A) x > -5

Step-by-step explanation:

The answer is A

Hope this helps!

The true answer is 3.75

Answers

Answer:

interesting

Step-by-step explanation:

very interesting

⚠️PLEASE HELP⚠️
What is the value of the interquartile range of the data below?
25
30
35
40
45 50

Answers

Answer:

5

Step-by-step explanation:

The value of the interquartile range of the data below is 5.

What is Interquartile Range?

The difference between the third and the first quartile is defined by the interquartile range. There are so three quartiles.

The first quartile, also known as the lower quartile, is marked by Q1, the second quartile by Q2, and the third quartile, sometimes known as the upper quartile, is denoted by Q3. The lower quartile less the upper quartile equals the interquartile range.

From the Plot we can write

Minimum = 27

Lower quartile = 32

Median = 36

Upper Quartile = 37

Maximum = 40

So, Interquartile range (IQR)

= Third Quartile (Q3) - First Quartile (Q1)

= 37 - 32

= 5

Learn more about IQR here:

https://brainly.com/question/16361595

#SPJ7

The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 8.9 cm. a. Find the probability that an individual distance is greater than 207.50 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 193.50 cm. c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30

Answers

Answer:

a) P(X > 207.50) = 0.0808

b) P(X-bar > 193.5) = 0.7734

c) It matters only in sampling distribution when we does not know the shape of distribution.

Step-by-step explanation:

Given - The overhead reach distances of adult females are normally distributed with a mean of 195 cm and a standard deviation of 8.9 cm.

To find - a. Find the probability that an individual distance is greater than 207.50 cm.

              b. Find the probability that the mean for 20 randomly selected distances is greater than 193.50 cm.

              c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30 ?

Proof -

Given that,

μ = 195 cm

σ = 8.9 cm

a)

P(X > 207.50) = 1 - P(X < 207.5)

                       = 1 - P(Z < [tex]\frac{207.5 - 195}{8.9}[/tex] )

                       = 1 - P(Z < 1.4)

                       = 1 - 0.9192

                       = 0.0808

⇒P(X > 207.50) = 0.0808

b)

n = 20

μₓ- = μ = 195

σₓ⁻ = [tex]\frac{\sigma}{\sqrt{n} }[/tex] = [tex]\frac{8.9}{\sqrt{20} }[/tex] = 1.99

Now,

P(X-bar > 193.5) = 1 - P(X-bar < 193.5)

                          = 1 - P(Z < [tex]\frac{193.5 - 195}{1.99}[/tex] )

                          = 1 - P(Z < -0.75)

                          = 1 - 0.2266

                          = 0.7734

⇒P(X-bar > 193.5) = 0.7734

c)

Given that If the population is normally distributed , then the sample does not have to be greater than 30.

It matters only in sampling distribution when we does not know the shape of distribution.

According to Newton's Second Law, if force equals 17 N and acceleration equals 8 m/s2, what is the mass in kilograms?
Answer as a number, rounded to the nearest thousandth?

Answers

Answer:

2.13kg

Step-by-step explanation:

fnet=ma

17=m(8)

17÷8 =m

2.13=m

Answer:

The mass is 2¹/₈, or 2.125, kg

Step-by-step explanation:

We know that force is equal to mass times acceleration, so given a force of 17 newtons and an acceleration of 8m/s², we can say:

[tex]f = ma\\m = f/a\\m = \frac{17\ N}{8\ m/s^2}\\m = \frac{17\ kg\times m/s^2}{8\ m/s^2}\\m = 17/8\ kg\\m = 2.125 kg[/tex]

giving us a mass of 2¹/₈, or 2.125 kg.

is 32/24 equivalent to 12/9

Answers

Answer:

32/24 is equivalent to 12/19

yes

how do you solve the inequality -8x is greater than 72​

Answers

Answer:

8n < 72

Step-by-step explanation:

Eight times a number (n) is less than 72.

What is the ratio as a fraction 9 and 6

Answers

Answer:

9/15 will become 3/5 and 6/15 will become 2/5.

1/3 would be the answer I think.

What is $6.977 rounded to the nearest cent

Answers

Answer:

6.98

Step-by-step explanation:

You just round the seven up

Which is the equation for the line that has a slope of 12 and passes through the point (3, 20)?

y = 12x - 16

y = 12x + 16

y = 16x - 12

y = 16x + 12

Answers

Answer:

the first one

Step-by-step explanation:

y-y1=m(x-x1)

y-20=12(x-3)

[tex]y-20+20=12\left(x-3\right)+20[/tex]

simplify:

[tex]y=12x-16[/tex]

Math help please what is the line grsph

Answers

So you need to find the slope that is perpendicular to equation.

Line L: y = 3x + 5

For it to be perpendicular, the slope has to be the opposite of 3 in 3x.

Since it is a positive value, we need to change it into a negative value in order for it to be opposite (perpendicular). So that will be -3.

Now we have to flip it. There is a 1 under that -3, it’s just not necessarily shown. So you flip it upside down and that will be -1/3.

-3/1 —> -1/3


The answer is -1/3.

The angle -456° terminates in which quadrant?

Answers

Answer:

Step-by-step explanation:

n o The angle terminates in Quadrant II In degrees, the reference angle for the given angle is 30°.

which equation represents the linear function that is shown on the graph ​

Answers

Answer:

Y = (1/2)x - 2

Step-by-step explanation:

To compose a linear equation, always use the form

Y = Mx + C where C is the y-intercept and M is the gradient.

In this case, pick any 2 points on the graph to solve for M

e.g (8,2) and (6,1)

Gradient = (2 - 1) /(8 -6) given by (y1 - y2) / (x1 - x2) = 1 / 2

Substitute into the form, we get

Y = (1/2)x + C

Now, we use any point again on the graph,

e.g (6,1) and substitute as (x, y) into the above function.

We will get 1 = (6)(0.5) + C

C = -2

Piece them up and u get the full function.

help mee pleaseeeeee

Answers

Answer:

Option 1

Step-by-step explanation:

Find the GCF of the numbers. 8, 16

Answers

Answer:

8

Step-by-step explanation:

Answer:

What is the Greatest Common Factor of 8 and 16? Greatest common factor (GCF) of 8 and 16 is 8.

hope it help plz heart and vote plz po..

6xq=54 what is q? PLEASE HURRY THIS IS DUE TOMORROW!!!!!!!!!

Answers

The answer to this question is 9 I hope

please help me with these problems.... please answer all the questions with the method I already started with... due at 11:59pm TODAY

Answers

Step-by-step explanation:

Howdy, did you do a, b, and c by yourself? Because there are some slight issues, so I'll do my best to explain.

a. 3x+5x

We know that x=2, so we can substitute 2 in for x right now, or we can combine like terms.

3x and 5x both have the variable x so we can add them easily to get 8x. If you substitute in 2, you're just multiplying 8×2, which is 16.

b. 5z+4z+z

Again, since

we know that z=-3, we can substitute in now, or we can combine like terms first. 5z, 4z, and z all have the variable x, we addition is easy. 5+4+1=10, so you'll have 10z. Substitute in -3 for z, and you're just multiplying 10×-3=-30

c. 3x+6+5x

This is trickier since 6 doesn't have the variable x. So to combine like terms means to only add 3x and 5x. So the equation will turn out looming like 8x+6. now substitute in 2 for x and you get

8(2)+6

16+6

22

d. 8y+8-4y

Combine like terms

4y+8

substitute in 5 for y

4(5)+8

20+8

28

e. 5z-4z+z

combine like terms

z+z

2z

substitute -3 for z

2(-3)

-6

f. 3x+6+5x-2

combine like terms

(so that's 3x+5x and 6-2)

8x+4

substitute in 2 for x

8(2)+4

16+4

20

g. 8y+8-4y-3

combine like terms

8y-4y+8-3

4y+5

substitute in 5 for y

4(5)+5

20+5

25

h. 5z-4z+z-3z

combine like terms

-z

substitute in -3 for z

-(-3)

double negatives make a positive

3

Ms. Perry spent $2000 to buy some new computer equipment. Of this money, $120 was used to
buy some new keyboards. What percent of the money was spent on keyboards?

Answers

Answer: 6%

Step-by-step explanation: Step 1: We make the assumption that 2000 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100%=2000$.

Step 4: In the same vein, x%=120.

Step 5: This gives us a pair of simple equations:

100%=2000(1).

x%=120(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

[tex]\frac{100\%}{x\%}=\frac{2000}{120}[/tex]

Step 7: Taking the inverse (or reciprocal) of both sides yields

[tex]\frac{x\%}{100\%}=\frac{120}{2000}[/tex]

[tex]\Rightarrow x=6\%[/tex]

Therefore, 120 is 6% of 2000$.

what does 5 cards to 7 cards mean?

Answers

Answer:

That is a ratio. Like for every 5 blue cards there are 7 red cards, read the context and you'll be able to see the ratio.

Step-by-step explanation:

Hope this helps :)

Help needed Asap on calc practice problems

Answers

Answer:

Integrate from 3 to 1 and then you should get 4/3

So C.

i will give a crown if you are the first one to answer and if you get it right and if you just get it right then i will i give you a full star rating and a thanks

Answers

81+54x because 9 *9 = 81 and 9*6 is 54 and add the x to it and put it all together.

to give someone a crown there has to be 2 answers and it will show up and you can mark the brainliest. you’re welcome :))

Help needed Asap on calc practice problems

Answers

Baje a spebdeka jajajqu

Please and I’ll give Brain list to you

Answers

Answer:

e

Step-by-step explanation:

e

Answer:

6

Step-by-step explanation:

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