How much of an 80% orange juice drink must be mixed with 12 gallons of a 20% orange juice drink to obtain a mixture that is 50% orange juice

Answers

Answer 1

Answer:

  12 gallons

Step-by-step explanation:

The amount of juice in the mix is the sum of the amounts of juice contributed by each of the constituents of the mix. Those amounts will be the product of the quantity of constituent and the fraction that is juice.

__

setup

Let x represent the amount of 80% juice drink that must be added to the mix. The total amount of orange juice in the mix is ...

  20% × 12 gallons + 80% × x gallons = 50% × (12 +x) gallons

__

solution

Dividing by gallons, eliminating parentheses, and using decimals for percentages, we have ...

  2.4 +0.80x = 6.0 +0.50x

  0.30x = 3.6 . . . . . . . . subtract 0.50x+2.4

  x = 12 . . . . . . . . . . . divide by 0.30

12 gallons of 80% juice drink must be added to obtain the desired mix.

_____

Additional comment

We notice that 50% is the average of 20% and 80%, so each must be half of the mix. If there are 12 gallons of 20%, then there must be 12 gallons of 80%.

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Related Questions

Consider this function.

please help!

Answers

the answer is W
feel free to ask me if you didn't understand a part

If 50% of a number is 80 and 35% of the same number is 56, find 85% of that
number.

Answers

The answer is 85% = 136

Jillian is trying to determine what helium tank pressure she needs to fill balloons for the student council dance. Find the unknown numbers in the table until you find the best answer to the question. Which cylinder pressure will Jillian need if she plans to fill 90 balloons? Tank Pressure and Balloon Quantity Pressure in the helium cylinder (psi) Number of 9-inch balloons 100 30 150 ? 200 ? 250 ? 300 ?

Answers

Going by the standard Helium Cylinder/Balloon Chart, the amount of pressure she will require to fill 90 balloons is 300 per squared inch (PSI.)

How much pressure will each balloon take at 300 psi total?

To get this amount, we simply divide the number of balloons with the total amount of PSI.

Thus:

90/300

= 0.3psi each.

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Answer: 300?

Step-by-step explanation:

tell me if i am wrong

find a pattern for each sequence 0,1, 0.01, 0.001,.....

Answers

Answer:

Divided by 10 every time

Step-by-step explanation:

/10 is the pattern

Which equation matches the graph of the greatest integer function given
below?

Answers

Answer:

B

Step-by-step explanation:

Hope this will help on the problem

The table shows information about the meals
ordered at a restaurant.
Meal ordered
Frequency
Sandwich
11
Curry
12
Salad
7
If this information was shown on a pie chart,
how many degrees should the central angle of
the section that represents curry be?

Answers

Answer:

  144°

Step-by-step explanation:

The central angle of a sector in a pie chart is proportional to the fraction the represented data is of the whole.

__

fraction

The total number of meals ordered at the restaurant was ...

  11 +12 +7 = 30

The fraction of those that were Curry was ...

  12/30 = 2/5

angle

Then the central angle of the sector representing Curry will be 2/5 of the circle, or ...

  2/5 × 360° = 144°

The central angle of the section representing Curry will be 144°.

En una encuesta a 150 personas, se les pregunta sobre los deportes que ven por televisión
los fines de semana, ofreciendo como opciones fútbol, tenis y basquetbol. Los resultados
fueron los siguientes: 52 ven tenis; 54 ven básquetbol; 24 solo ven fútbol y tenis; 19 solo
ven fútbol y básquetbol; 23 ven tenis y básquetbol; 14 ven fútbol, tenis y básquetbol; 24
no ven deportes.

Answers

Teniendo en cuenta que el total de encuestados fue 150 personas, se puede calcular que el porcentaje de personas que solo ven tenis es 34.3%.

¿Cómo calcular el porcentaje de personas que solo ven tenis?

Para calcular el porcentaje de encuestados que solo ven tenis es necesario realizar la siguiente operación:

100 ÷ 150 = 0.660.66 × 52 = 34.3%

De acuerdo con lo anterior, se puede inferir que el porcentaje de encuestados que solo ve tenis es el 34.3%.

Nota: Esta pregunta está incompleta porque le falta información. Aquí está la información faltante.

Qué porcentaje de personas solo ve tenis por televisión?

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How does acidic soil negatively affect living things?
A. It can affect the enzymes of organisms, as well as make certain minerals unavailable.
B. The acidity can destroy essential nutrients in the soil, such as amino acids or nitrates.
C. It can alter the permeability of the soil, causing it to become waterlogged easily.
D. It can alter the porosity of the soil, causing it to become dry easily.

Answers

Answer:

B. The acidity can destroy essential nutrients in the soil, such as amino acids or nitrates.

2x²-5x-6=0 What are the values for a,b,c of the equation in standard form?​

Answers

Answer:

Standard form: 2x²-5x+12=0

a=2 b=-5 c=12

Step-by-step explanation:

2(x+3)²-5x=6

2(x²+9)-5x-6=0

2x²+18-5x-6=0

2x²-5x+18-6=0

2x²-5x+12=0

a=2 b=-5 c=12

Difference of 8 Let's dig into this and find out for sure. First think of two numbers that have a difference of 8. Type the LARGER of these numbers below.

Answers

Answer:

16

Step-by-step explanation:

We need to find 2 numbers that have a difference of 8.

Let take's 16 and 8.

As we know :

⇒ 16 - 8

⇒ 8

The larger of these 2 numbers is 16

What is the solution for x in the equation?

-2x + 14 + 10x = 34

A.

B.

C.

D.

Answers

Answer: 2.5

Step-by-step explanation:

-2x + 14 + 10x = 34

8x + 14 = 34

8x = 34 - 14

8x = 20

x = 20/8

x = 5/2

x = 2.5

Combine the like terms first
14 +8x =34
Subtract 14 both sides
8x = 20
Divide both sides by 8
x = 20/8
Reduce
x= 5/2
x = 2 1/2 or 2.5

What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1? m Y 1 77](V₂ − V₁] + V₁ m+n -8 -5 0 6​

Answers

The y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

How to carry out division of line segments?

From the attached line segment graph, we see the coordinates as;

J (1, -10) and K (7, 2)

Let us assume that, point L divides the directed line segment from J to K into a ratio of 5:1.

From the properties of coordinate geometry we know that, the coordinates of point that divides the line joining (x₁, y₁), (x₂, y₂) in m:n, are;

[(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]

Plugging in the relevant values gives;

[(5 * 7 + 1 * 1)/(5 + 1)], [(5 * 2 + 1 * -10)/(5 + 1)]

⇒ (6, 0)

Therefore, the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

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Answer:

c. 0

Step-by-step explanation:

Big Brothers, Inc. borrows $267,999 from the bank at 18.16 percent per year, compounded annually, to purchase new machinery. This loan is to be repaid in equal annual installments at the end of each year over the next 10 years. How much will each annual payment be?

Round the answer to two decimal places.

Answers

Based on the amount borrowed and the interest per year, Big Brothers, Inc will pay an annual payment of $59,973.15.

How much will Big Brothers, Inc. pay annually?

This can be found by using the present value of an annuity formula because the annual payment will be constant and therefore like an annuity.

Formula is:

Present value of annuity = Annual payment x ( 1 - (1 + rate) ^ -number of periods) / rate

Solving gives:

267,999 = Amount x ( 1 - ( 1 + 18.16%)⁻¹⁰) / 18.16%

267,999 = Amount x 4.46865

Amount = 267,999 / 4.46865

= $59,973.15

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find the sum 70.6+74.02+121.985=​

Answers

266.605 is the answer.

Step-by-step explanation:

70.6 + 74.02 + 121.985 = 266.605

Which algebraic rule describes the translation of quadrilateral ABCD to quadrilateral A’B’C’D?

Answers

Answer:

A.

Step-by-step explanation:

The figure moves to the right 8 units which is positive and then up 7 units which is also positive.

The perimeter of a rectangle is 42 inches if the width of the rectangle is 6 inches what is the length

Answers

Answer:

The length would be 15 inches.

Step-by-step explanation:

Since we are solving for perimeter the first step would be doing 6+6 = 12 (covering 2 sides). The next thing we would do is subtract 12 from 42 getting 30 as our answer. We need to divide 30 by 2 to get an answer of 15. I hope this helps! :)

Answer:

15 inches

Step-by-step explanation:

if jermeey has 9 apples, and sabrina has 10, how many apples do they have if erica takes 19 of them?

Answers

Answer:

0 apples

Step-by-step explanation:

I’m not sure but I think 10+9 is 19 and then 19-19 is 0

Penelope’s 2000 kg new painted car accelerates from 50.0 m/s to 100.0 m/s. Calculate the impulse experienced by Penelope’s car.(Note: Include correct units and sign. Ex. "20 J" , "20 m" , "20 m/s")

Answers

The impulse that Penelope's car would experience is 100, 000 Kg. m/s

How to calculate the impulse

The formula for calculating the impulse is;

Impulse = m Δ v

Where m = mass = 2000kg

Δv = change in velocity = 100 - 50 = 50m/s

Substitute values into formula

Impulse = 2000 × 50 = 100, 000 Kg. m/s

Therefore, the impulse would be 100, 000 Kg. m/s

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Seven x's and 3y's cost as much as 4z's. One z costs as much as 1x plus 1y together. How many x's cost as much as 1y?

Answers

Answer:

Step-by-step explanation:

Equations

7x + 3y = 4z

Second equation

x + y = z                          Multiply the entire equation by 4

4[x + y = z]                      Now distribute the 4 through the equation

4x + 4y = 4z                    Both equations = 4z. Equate the lefts.

Third equation  

7x+3y = 4x + 4y              Subtract 3y from both sides

7x + 3y -3y = 4x + 4y -3y

7x = y + 4x                      Subtract 4x from both sides

7x - 4x = y + 4x - 4x       Combine

3x = y

Answer: 3x = y

( PLEASE HELP WILL MARK BRAINLIEST PLEZ ) Calculate the area of a triangle with a base of 6 cm and a height of 12 cm. Draw and label the triangle.

Answers

Base=B=6cmHeight=H=12cm

Area

1/2BH1/2(6)(12)3(12)36cm²

Step-by-step explanation:

Base=6cm

Height=12cm

So,

1/2BH

= 1/2×6×12

= (3×12)

= 36 cm²

_________________________________

[tex]\boxed{\blue{ » \: Lear \: math \: with \: Kareninajovanka \: « コ: \: 彡}}[/tex]

Can someone help with this? I don't understand how to find the answer

Answers

Center (1,4)
Hope this helps!

rewrite this inequality so y is by itself:

3x − 4y ≥ 24.

Answers

Answer:

y [tex]\leq[/tex] 6 + [tex]\frac{3x}{4}[/tex]

Step-by-step explanation:

3x - 4y [tex]\geq[/tex] 24

-3x                 -3x

(-4y [tex]\geq[/tex] 24 - 3x ) / -4

y [tex]\leq[/tex] 6 + [tex]\frac{3x}{4}[/tex]

                 

describe in detail how you would create a number line with the following points:3, 2.25, the oppisite of 4 and- (-1 1/2). please be sure to describe on which tick marks each point is plotted and how many tick marks are between each iteger. it may help for you to draw this number line by hand on a sheet of paper pls answer NO WRONG ANSWERES

Answers

Answer:

here man that's the answer

Let's suppose someone flips a fair coin three times. 1. How many outcomes are possible? [a] 2. What is the probability of getting exactly one tail? Give as a fraction [b] 3. What is the probability of getting at most two tails? Give asa fraction [c]​

Answers

Probability helps us to know the chances of an event occurring. There are 8 outcomes.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Let's suppose someone flips a fair coin three times.

1. The outcomes of the coins are,

HHHHHTHTHHTTTTHTHTTTHTTT

Therefore, there are 8 outcomes.

2. The probability of getting exactly one tail is,

P(X=1) = 2/8 = 1/4

3. The probability of getting at most two tails is,

P(X≤2) = P(X=1) + P(X+2) = 1/4 + 1/2 = 3/4

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Find the area of a regular polygon with 8 sides that has a perimeter of 96 inches and an apothem of 5 inches.


Area = [?]in2

Answers

Answer:

see the attachment photo!

For the given fact below, which subsequent true/false statement is true?



Fact: Mel received a C+ in Chemistry.

Answers

Mel did pass the class , Option B is the correct answer.

The missing options are

Mel does not like chemistry

Mel did pass the class

Mel did not achieve a passing grade for the class

Mel took math this semester

What are True/False Statements ?

The statements that are based on fact and is assertive is a true statement and opposite of that is a false statement.

In the question it is mentioned that Mel received a C+ in Chemistry.

It is not known that she took maths test , she did achieve passing grades and by grades it cannot be said if she didn't like chemistry

This can make only Option B statement true , as she did pass the class.

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What are m∠1 and m∠2?

Answers

Answer:

B. <1 = 35, m<2 = 30

Step-by-step explanation:

To figure out m<1 I first need to figure out the other missing angle. A straight line is a 180 degree angle. Taking that information you can do 180 - 115. This means that the missing angle is 65 degrees. The interior angles of triangles always add up to 180.

80 + 65 = 145

180 - 145 = 35

<1 = 35

Repeat with the other side.

85 + 65 = 150

180 - 150 = 30

<2 = 30

Hope this helps!

What is the mean of the data set below?
15, 5, 16, 9, 14, 3, 4, 18, 10, 4

Answers

Answer:

Mean = Sum of Values ÷ Total number of Values

Step-by-step explanation:

= 15+5+16+9+14+3+4+18+10+4 ÷ 10

= 98 ÷ 10

= 9.8     (Decimal point moves 1 place to the left when divided by 10)

help me to solve maths​

Answers

Answer:

9. 105/-21 = -5

10. -5 + 11 = 6

11. 368 x -16 = -5888

12. To prove this you don't need the integers provided, you can just expand out the first one. a x (b + c) = (a x b) + (a x c)

Can 3×2×2×3 be written as a power with an exponent of 4? Explain your thinking.​

Answers

No, because when you write a number that has a power that means the number is multiplied by itself. So, 3^4=81 whereas 3x2x2x3=36.
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