How would i do this??:: Some kinds of fruit juice are only 10% juice. Other brands are 40% juice how much of each kind of juice should be mixed together to form 5 gallons of punch which is 25% juice?

Answers

Answer 1

Answer:

You should mix

2.5 gallons of the first juice with

2.5 gallons of the second juice

Step-by-step explanation:

Step one

Let the first kind of juice be x

Let the second be y

Given x contain 10% juice

and y contains 40% juice

So for the percentage constituent concentration of each the expression is

0.1x+ 0.4y=0.25(5)

0.1x+0.4y=1.25—----------------1

Step two

Also for the volume of the mixture, we are working with 5 gallons hence the expression

x+y=5-------------------------------2

The system of equation for the situation is

0.1x+0.4y=1.25------1

x+y=5-------------------2

From equation 2

x=5-y

Put x=5-y in the equation

0.1(5-y) +0.4y=1.25------1

0.5-0.1y+0.4y=1.25

0.3y=1.25-0.5

0.3y=0.75

Dividing both sides by 0. 3

y=0.75/0.3

y=2.5

x=5-y

x=5-2.5

x=2.5

The mixture should consist of

2.5 gallons of the first juice with

2.5 gallons of the second juice


Related Questions

(HELP! I HAVE NO TIME) At 2pm, a store had sold 15 packs of toilet paper. By 5pm, the store had sold 57 packs of toilet paper. What is the average rate of change?

Answers

[tex]\mathrm {Hey, there!}[/tex]

Let's solve your problem:

The answer would be 280%.

We know the following information:

2pm - 15 toilet paper rolls

5pm - 57 toilet paper rolls

We have to find the percent rate of change.

Here is how we will do this problem:

First, Set up a ratio:

Change in the quantity [15 - 57]

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

Original quantity [15]

57 - 15 = 42

Next, we will divide. the ratio.

Given quantity - 42

Number of packs sold at 2pm - 15

Fraction - 42/15

Convert the fraction to a decimal.

Fraction - 42/15

Decimal - 2.8

Make the decimal to a percent.

Decimal - 2.8

Percent - 28%

Add a zero to the 28.

Our answer is 280%

Answer:

14 packs per hour

Step-by-step explanation:

2pm ⇒ sold 15 packs  5pm ⇒ sold 57 packs

Average rate of change = change in sale/ change in time

(57 - 15) / (5 - 2) = 42/3 = 14 packs per hour

Convert 120 L/hr to L/min

Answers

Answer:

2

Step-by-step explanation:

As a fundraiser, the Robotics team is selling cookies. The cost to make each cookie can be written as c(x)=0.25x+0.5 and the functions that represents the amount they sell the cookie for can be written as s(x)=2x. Write a function represents the profit, P(x)

Answers

Answer:

The profit is 1.75x-0.5

Step-by-step explanation:

Mathematically,

profit = sales - cost

So with respect to this case, we have that;

Profit = s(x) - c(x)

Profit = 2x - (0.25x + 0.5)

Profit = 2x - 0.25x -0.5

Profit = 1.75x - 0.5

Jesse and Jonah are making party favors. Jesse has made 108 favors and Jonah has made x number of favors. If they have made a total of 550 favors, how many has Jonah made?

Answers

108+x = 550

550-108= 442

Jonah made 442 party favors .

What is the answer to this fast smart people

Answers

Answer:

m<R = 106°

Step-by-step explanation:

Given,

m<R = (6x+10)°

m<S = (2x+5)°

m<T = (3x-11)°

Now,

6x+10°+2x+5°+3x-11° = 180°{the sum of angles of triangle is 180°}

or, 11x+4° = 180°

or, 11x = 180°-4

or, x = 176°/11

or, x = 16°

therefore, x = 16°

m<R = (6x+10)°

= 6×16°+10°

= 96°+10°

= 106°

The Garcia family started the day with 2 gallons of milk. They drank 111 quart of milk for breakfast and 3 pints for lunch.
How many pints of milk did the Garcia family have left after lunch?

Answers

3 pints

There are 8 pints of milk in 1 gallon. There is also 4 quarts in 1 gallon. So each quart is 2 pints.
After breakfast they had 3 quarts of the original gallon left since 4 - 1 = 3.
3 quarts is the same as 6 pints. They drank 3 pints at lunch. This means 6 - 3 = 3. After lunch, there were 3 pints left.

Helllp it's due tonight ​

Answers

it’s linear, the rate is -2/2.5 The rate is staying constant so therefore it’s linear and not exponential.

Plzzzz help I will mark brainliestttt

Answers

Answer:

Not

Step-by-step explanation:

6 and 4 are paired with 2 x values, and a function is something which's y values are paired with only 1 x value.

Hope I helped!!!

One of your friends gives you $10 for a charity walkathon. Another friend gives you an amount per mile. After 5 miles, you have raised $13.50 total. Write an equation in slope-intercept form that represents the amount y of money you have raised after x miles.

y=

Answers

Answer:

y  = 0.70x-  10.00

Step-by-step explanation:

--  Since one friend gave you 10.00 ,subtractthis from the 13.50 to give you the amount earned by walking the 5 miles

--  13.5-10.00  =  $3.50  

--  Since you walked 5 miles, divide by 5 to give you 0.70 per mile earned.

So, an equation that represents the amount of money earned is:  

y  = 0.70x-  10.00  . This is in slope-intercept form; the slope is $0.70 and represents the amount of money earned per mile  and the intercept is $10.00 and represents the initial amount of money that you were given.

How does the minimum or maximum value of a parabola relate to the vertex of the same parabola?

Answers

Answer:

The graph of a quadratic function is a U-shaped curve called a parabola. ... If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value.

Step-by-step explanation:

please mark me brainlist

The relationship between the vertex and the minimum or maximum value of the parabola is given below.

What is a parabola?

A plane curve produced by a moving point such that its separation from a fixed point equals that of a fixed line is a parabola.

Let the vertex be any parabola is (x, y).

When the graph of the parabola opens up,

then the y-value of the vertex is the minimum value.

And when the graph of the parabola opens down,

then the y-value of the vertex is the maximum value.

Therefore, the explanation is given above.

To learn more about the parabola;

https://brainly.com/question/21685473

#SPJ2

if g(x)=3x-1 and if g(x)=7, then which of the following is the value of x

Answers

Answer:

g(x)=3x-1=7<=> 3x=8<=> x=8/3

Answer:

The value of x will be 8/3

Step-by-step explanation:

g(x) = 3x-1

3x-1 = 7

3x = 7+1  

3x = 8

x = 8/3

Hope that helped :)

Nick and his family traveled by train to New York City. The clocks show when the train left the station and when it arrived in New York City. How long was the train ride?

Answers

Answer:

Answer: 4 hr 15 min is the right answer

somebody please help

Answers

Answer:

169

Step-by-step explanation:

13²

=169

The price of a new car is $24,990. If the sales tax rate is 9%, then how much sales tax is being
charged?

Answers

Answer:

Sales tax = 2249.1

$ 2249.10

Step-by-step explanation:

HELP THIS IS DUE TONIGHT AT 12!!!

Answers

i know i’m late but... i hope this still helps. (-3,-10)
the answer is (-3, -10)

Which graph represents the function -2x - 5y = -10?
Please explain!!

Answers

The answer would be J because if the equation was transferred into a positive then it would be 2y and 5x marking 5x on the bottom and 2y vertically.
Hope this helps!!

Answer:

Graph J represents the function -2x-5y=-10

Step-by-step explanation

To find the answer you have to find the y and x-intercepts first. To find the x and y-intercept I came up with two equations; -5y=-10 and -2x=-10. I came up with these equations because I'm finding the intercepts, so I know I have to substitute x and y with 0 one at a time. To solve the first equation I just divided -5 from both sides and got y=2, so my first intercept is (0, 2). I solved the second equation by dividing -2 from both sides and got x=5 which means my second intercept is (5, 0). Now I graph the two points on a graph and connect the dots, which turns out to be graph J on your image.

Hoped this helped you : )

During one week, a truck driver spent 51 hours driving 3,468 miles. Which rate best represents the relationship between the miles and the hours?

Answers

Answer:

68

Step-by-step explanation:

Some paint is made by mixing 3 cans of white paint to 7 cans of green paint. How many cans of white would you mix with 21 cans of green to keep the colour the same?

Answers

Well to get to the point
21 / 7= 3
So I then would multiply the 3 by 3 which would give me 9
And just to check your answer 7 x 3 is 21
So your answer would be 9

MO is twice as long as MN. NO=36cm. Find MO and NM. Can you solve this problem? If so, give the solution. If not, explain why not.

Answers

here’s my answer assuming N bisects MO and this is all on a straight line

If this is helpful, please mark me brainliest. :)

(5x-2)cm (3x+14) what is the length of the sides

Answers

Answer:

5xcm−2cm

Step-by-step explanation:

sry if im wrong

Valerie bought a guitar at a sale price of S = 0.8g, where g represents the original cost of the guitar. Which expression shows the sale price in a way that emphasizes the percent discount that she received? A S = (1 + 0.8). B S= (1 +0.2) g C S= (1 - 0.8). D S = (1 – 0.2) g​

Answers

Answer:

D S = (1 - 0.2)g

Step-by-step explanation:

The original price of the guitar was g.

She paid 0.8g.

0.8g = 0.80g = 80% of g

If she paid 80% of the price, that means the discount was 20%.

100% - 20% = 1 - 0.2

Subtracting 20% form the whole 100% of the price is the same as subtracting 0.2 from the whole price of 1.

Answer: D S = (1 - 0.2)g

Help find domain and range

Answers

the answer is 2 because you plug 2 in 3x
Yo jus use desmos.com. It’s really good for graphing and tells you all the important intersecting points on a graph.

If John is leaving a 15% tip on $24 what is the amount of money he is leaving?

Answers

Answer:

Just the tip: $3.60, Total amount: $27.60

Step-by-step explanation:

Multiply 24 by 0.15 to find what 15% of 24 is.

2 × 10 + 10 – 8 = ? show work

Answers

2 x 10 = 20
10 - 8 = 2
20 + 2 = 22
Answer: Umm, 2 x 10+10-8=22

2 x 10=20
20+10=30
30-8=22

Maribel deposited $1,500 in a new account at her bank. -The bank pays 4.5% annual simple interest on this account. -Maribel did not make any additional deposits or withdrawals. What is the balance of the account at the end of five years?

Answers

Answer:

1500+337.50 = $1,837.5

Step-by-step explanation:

You want to calculate the interest on $1500 at 4.5% interest per year after 5 year(s).

The formula we'll use for this is the simple interest formula, or:

I = P x r x t

Where:

P is the principal amount, $1500.00.

r is the interest rate, 4.5% per year, or in decimal form, 4.5/100=0.045.

t is the time involved, 5....year(s) time periods.

So, t is 5....year time periods.

To find the simple interest, we multiply 1500 × 0.045 × 5 to get that:

The interest is: $337.50

please answer this and don't do it for the points

Answers

11/30 - 6/30 - 5/30 = 0
The answer is 0

What graph shows the linear equation y = 1?

Answers

Answer:

I don't see a picture; where are the graphs?

I’ll Mark u as brainless if you solve this

Answers

i think the person below me is correct and the answer is 12

Answer:

M  equals 12

I hope this helps you.

Need help asap...,..........

Answers

Answer:

x2+ 16k+ 64= not factorable with rational numbers

x2+ 7x+ 10= (x+2)(x+5)

These are what I got from your picture, so don't quote me on this the picture wasn't the best.

BACKGROUND INFO: Monthly sales for ABC company can be modeled by the equation S=3000 + 42m, where S=total items sold and m = months

Monthly sales for XYZ company can be modeled by the equation S=2500(1.15)", where S=total items sold and m = months

QUESTION: Which of the following statements is true?

ANSWERS:

A.) ABC currently has greater monthly sales than XYZ but in three months XYZ will have greater monthly sales than

B.) ABC monthly sales are growing exponentially while XYZ monthly sales are growing exponentially while XYZ will have greater monthly sales than ABC

C.) ABC currently has greater monthly sales than XYZ and will continue to have greater monthly sales for the next year (12 month)

D.) Both companies monthly sales are growing exponentially and therefore cannot be compared for future months

Please answer only if you can help :) ​

Answers

Answer:

b

Step-by-step explanation:

Answer: this was the correct answer for me (A)

ABC currently has greater monthly sales than XYZ but in three months XYZ will have greater monthly sales than ABC

Step-by-step explanation:

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