A solution containing 30 percent juice is mixed with a solution containing 10 percent juice to make 100 gallons of a 12 percent juice mixture. how much of the 30 percent juice solution was used

Answers

Answer 1

let there be x gallons of 30 percent juice, then there are (100-x) gallons of 12 percent juice.

0.30x+0.10(100-x)=100*0.12
0.3x+10-0.1x=12
0.2x=2
x=10

10 gallons of 30 percent juice should be used.

Answer 2

10 gallons of 30% juice was mixed with 90 gallons of 10% juice to make 100 gallons of 12% juice.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount of 30% juice and y represent the amount of 10% juice, hence:

x + y = 100 (1)

Also:

0.3x + 0.1y = 0.12(100) (2)

From eqn 1 and 2:

x = 10, y = 90

10 gallons of 30% juice was mixed with 90 gallons of 10% juice to make 100 gallons of 12% juice.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ2

Related Questions

Can someone explain to me what a consistent-dependent system is?

Answers

the consistent system is compose of the dependent and independent solution so when you are talking about consistent you are talking about the dependent solution which is when it the same line inconsistent is when they intercept inconsistent is when they are parallel

(a + b)2 = 1a^2 + 2ab + 1b^2
(a + b)^3 = 1a^3 + 3a^2b + 3ab^2 + 1b^3

How are binomial expansions related to Pascal’s triangle?

Answers

Consider the binomial [tex]\displaystyle{ (a+b)^\displaystyle{n[/tex],

where n=0, 1, 2, 3, ...

For example

[tex]\displaystyle{ (a+b)^0=1[/tex]

[tex]\displaystyle{(a+b)^1=1a+1b[/tex]

[tex]\displaystyle{(a+b)^2=1a^2+2ab+1b^2[/tex]

[tex]\displaystyle{ (a + b)^3 = 1a^3 + 3a^2b + 3ab^2 + 1b^3[/tex]
...
...

Consider the Pascal's triangle, as shown in the picture, where the very first row is denoted by row 0, the second by row 1, the third by row 2 and so on...

We notice that the coefficients of the expansion of [tex](a+b)^n[/tex], are the entries in the [tex]n^{th}[/tex] row of Pascal's triangle.

Answer:

The coefficients of the terms come from rows of the triangle.

If the exponent is n, look at the entries in row n.

Jim has received scores of 72 72 and 77 77 on his first two 100 point tests. what score must he get on his third 100 point test to keep an average of 79 79 or greater?

Answers

77+72=149
149/2=74.5
through the process of elimination, I found that Jim needs to get an 88 or higher to receive an average of 79 or greater.

77+72+88=237
237/3=79

How do I solve this?

Answers

Hello,

If 3x-1>=0 then

x>=1/3
|3x-1\=3x-1
2*|3x-1|=18
2*(3x-1)=18
6x-2=18
6x=20
x=10/3

else
x<1/3
|3x-1|=-(3x-1)
2*|3x-1|=18
2(-(3x-1))=18
-6x+2=18
-6x=16
x=-8/3
endif

Two cars leave the origin; one goes north at 45 mph and the other goes south at 30 mph. after how many hours will they be 400 miles apart?

Answers

400 = 45x + 30x
400 = 75x
5.333 = x

Lets test

45mph for 5.333 hours = 240 miles
30mph for 5.333 hours = 160 miles
240 + 160 = 400 miles apart.

How did geography influence the economy in the Mid-Atlantic/Middle colonies?

A) Different land types allowed colonists to export crops and other goods.
B) The short growing season allowed colonists to grow many types of grains.
C) Poor soils and rocky hills caused colonists to import most of their grains.
D) The many natural resources available drove colonists to focus on agriculture.

Answers

I believe the answer could be A

How did geography influence the economy in the Mid-Atlantic/Middle colonies?

A) Different land types allowed colonists to export crops and other goods.

A grocery store sells crackers in three box sizes. Which size box is the best buy? 8 oz for $2.00 12 oz for $2.64 16 oz for $3.20

Answers

Hello, schrklar a way to do this is divide the oz by the number, $ 2.00 / 8 = 0.25
$ 2.64 / 12 = 0.22 and $ 3.20 / 16 = 0.2. So the correct answer would be, 8 oz for $2.00.

Answer:

Option C is the correct choice.

Step-by-step explanation:

We have been given that a grocery store sells crackers in three box sizes.

To find the best buy, we will find the cost of per ounce crackers for each box.

[tex]\text{The price per oz for option A}=\frac{\$2}{8\text{ oz}}[/tex]

[tex]\text{The price per oz for option A}=\frac{\$0.25}{\text{ oz}}[/tex]

Therefore, the option A offers $0.25 for per oz of crackers.

[tex]\text{The price per oz for option B}=\frac{\$2.64}{12\text{ oz}}[/tex]

[tex]\text{The price per oz for option B}=\frac{\$0.22}{\text{ oz}}[/tex]

Therefore, the option B offers $0.22 for per oz of crackers.

[tex]\text{The price per oz for option C}=\frac{\$3.20}{16\text{ oz}}[/tex]

[tex]\text{The price per oz for option C}=\frac{\$0.20}{\text{ oz}}[/tex]

Therefore, the option C offers $0.20 for per oz of crackers.

Since the price offered by option C is less than other two options, therefore, option C is the correct choice.

One theme from "The Yellow Wallpaper" is that women played a lesser role in marriage during the 19th century. Which line from the passage best supports this theme?

Answers

Plz put the passage and I can figure this one out easily! I'm good at these kind of things

Answer: Answer is A for apex ; ` And I know John would think it absurd. But I MUST say what I feel and think in some way - it is such a relief! ´

Step-by-step explanation:

A student measures a rectangular room to be 20.0 m * 17.16m. which of the numbers below represents the room's area with the correct number of significant figures

Answers

The area of the rectangle is calculated through the equation,
A = L x W

in which A is the area, L is the length, and W is the width. Substituting the known values to the equation,
A = (20.0 m)(17.16 m) = 343.2 m²

Since, the least number of significant figures in the multiplier is 3, our answer ought to be in 3 significant figures. The answer to this item is therefore 343 m².

What is the original price of a telescope the discount is 30% and the sale price is $126?

Answers

The original price would be $420

x = The original price.

[tex]\displaystyle x\cdot \frac{30}{100} = 126 \\\\ \frac{3x}{10}=126\\\\3x=1260\\\\x=420 [/tex]

HELP PLEASE

Which of the following graphs is not a function

Answers

a simple rule to tell whether a graph is a function is to pretend to cut it vertically, if any cut intercept the graph twice, it is not a function. otherwise, it is.
In this case, the heart is not a function, because if you cut it up-down direction, your imaginary knife will touch the edge of the heart twice.
I hope this explanation helps.

What are the domain and range of the function

Answers

Answer:

The domain is the all possible value of x which give the real value of y whereas Range is the all possible value of y after putting the values of x.

For example: We have function: f(x) = x²

Here Domain = All Real Numbers = (-∞, ∞) {∵ For every value of x f(x) give real value)

and, Range = All positive real number = (0, ∞) {∵ f(x) is giving only positive value no matter what the value of x is}

If 7 times a certain number is added to 12, the result is 47

Answers

So first we want to assign the certain number a variable, let's say x.

So we can write this out as an equation, or:

7x + 12 = 47

Now we can just solve this.

7x + 12 - 12 = 47 - 12

7x = 35

/7 /7

x = 5

So the certain number is 5.

5 beacause 5 times 7 is 35 and 35 plus 12 is 47.

If k= am + 3mx, Express the value of m in terms of a, k and x?

Answers

k=am+3mx
factorise m
k= m(a+3x)
divide by a+3x

k= am + 3 mx
Factorise m
k= m (a+3x)
Divide by a + 3x

The length of the boston marathon is 138,435 ft. each stride, or step, by a particular runner is 3ft. long. does the number of strides the runner takes fit evenly into the length of the race? explain.

Answers

Yes! If you divide 138,435 by 3, the number of strides the runner takes fit evenly into the length of the race. Therefore the answer is 46,145 ft.

Yes 138,435 can be divided by 3 it equals to 46,145

Which line segment is parallel to plane FGKJ?

Answers

not enough information. where's the graph or the image to see where line FGKJ is placed?

what is the value for X?
- 24
-9
-21
-14
what is the measure of <1?
- 45
- 60
- 120
-125

Answers

X=21 and the mesure of one would be 120 to check if its correct multiply 5 by 21 then add it to 15 and that would be the answer for what 1 is you can also check of its 21 by multiplying 3 by 21 and subtracting 3 then adding both to get 180 which is the normal measurements of the line. hope this helps somehow

3 out of 5 picks are orange.If 12 picks are orange,how many picks are there in all?

Answers

20. The ratio would be 3:5, and to get to 12 oranges, you multiply the 3 by 4. You must do the same thing on the other side, and you get 20 picked in all.

What is the simplified form of the left side of the following equation?

2x-4+5x=8

Select the correct answer below.

A.2x+1

B.3x-4

C.5x-2

D.7x-4

Answers

Answer:

D. 7x -4

Step-by-step explanation:

You want the simplified form of the expression 2x-4+5x.

Like terms

An expression is simplified by eliminating parentheses and combining like terms. Here, there are no parentheses, but there are like terms: 2x and 5x. Combining them gives ...

2x -4 +5x

= (2 +5)x -4

= 7x -4 . . . . . . . . . matches choice D

From a point level with and 1000ft away from the base of the washington monument, the angle of elevation to the top of the momument is 29 degrees. find the height of the monument

Answers

h = 1000 tan 29.5 i think.

If a set of xy-axes has 20 grid units in each direction and the greatest value the data to be placed on the horizontal axis is 132, what would be the appropriate and convenient scale to use for this axis? Explain

Answers

Given that the xy-axis has 20 grid units in each direction and the greatest value the data to be placed on the horizontal axis is 132, then the appropriate and convenient scale to use for the horizontal axis is 1 to 8.

Thus will make the graph spread adequately across the axis as well provide a good sub-units for the graph (i.e. each grid unit will be divided into 8 equal subunits)

In general, you want the graph to occupy as much room as possible. This makes interpolation of values on the graph easier to perform. And since you have 20 units, the largest possible value would be 132 / 20 = 6.6. However, you also want the units to be easy to handle while counting and 6.6 is rather messy. So you increase to the next larger integer which would be 7. And 7 would work, but it's still rather hard to handle. For instance, what's 13 multiplied by 7? That's not something most people do easily, so you'll want to round up to a power of 2, 5, or 10 for the greatest ease of use. That leaves as reasonable candidates the numbers 8, or 10. So for that axis, there are three choices with advantages and disadvantages. 7 - Gives the largest graph for more detail, but an inconvenient scale to quickly multiply by. 8 - Almost as good as 7 for graph detail, but still a bothersome scale to multiply by. 10 - Not as good in terms of the graph size ( you'll only be using 14 of the 20 divisions). But it is a very convenient size to multiply by. Given the lack of detailed knowledge of the data this graph needs to display, I'd recommend using 10 units per division on the graph.

f f(x) = x2 – 25 and g(x) = x – 5, what is the domain of (F/g)(x)

Answers

(f/g)(x)=((x-5)(x+5))/(x-5)=x+5 & Domain=R

Please help.

The graph of the function f(x)=|x+3| is translated 5 units down.

What is the equation of the transformed function?

Enter your answer in the box.

g(x)= _________

Answers

g(x)=|x+3|-5
down five units means add -5 to then end of the equation

Keywords

transformed function, translation, rule

In this problem we have

[tex]f(x)=|x+3|[/tex]

we know that

If the translation is [tex]5[/tex] units down

then

the rule of the translation is equal to

[tex](x,y)-------> (x,y-5)[/tex]

therefore

the answer is

the equation of the transformed function is equal to

[tex]g(x)=|x+3|-5[/tex]

see the attached figure to better understand the problem

If A = James's present age, write an expression for his age seven years from now.

Answers

Answer:

A + 7

Step-by-step explanation:

Given,

James's present age be = A

So,

After seven years from now will be +7

Therefore,

James age, seven years after his present age is,

= (A) + (7)

= A + 7

Hence, the required expression is: A + 7 (Ans)

Hello there, I hope you are having a nice day.

We are given that James's present age is A years.

If James's present age is a years, then in 7 years his age will be

A+7

Which means that whatever A is, it will be 7 more in 7 years.

Hence, the expression is A+7 (Answer)

Hope it helps.

~An emotional teen who helps others and listens to her favourite song "How Far I'll Go"

-Grace ;-)

Good luck with your studies.

Determine the dimensions of the rectangle that requires a minimum amount of fence.

Answers

It doesn't matter what the dimensions are. the Perimeter will be the same.

ABC and CBD form a linear pair and have equal measures. Tell if ABC is acute, right, or obtuse

Answers

to form a linear pair means that when added, they equal 180 degrees.
but if they have equal measures....180/2 = 90...then they would both equal 90 degrees.....and 90 degrees is a right angle.
So ABC and CBD are both right angles

Answer:

Right angle

Step-by-step explanation:

When two lines intersect, a linear pair is formed, two angles being linear pair means the sum of those two angles is 180°.

Now if ∠ABC and ∠CBD for a linear pair,

∴∠ABC + ∠CBD = 180°

also given that ∠ABC and ∠CBD are of equal measure

∴ ∠ABC + ∠ABC = 180°

⇒ ∠ABC = 90° = ∠CBD

∴ ∠ABC is right angle

a deck of 28 cards contains 6 blue cards, 13 red cards and, 9 yellow cards what is the probability of randomly drawing a blue card from this deck?
Answer choices:
1/6
1/3
11/14
3/14

Answers

the answer is the 4th option bc you divide 6/28 by 2 and it gives the answer 3/14

The cost of a ticket to ride a roller coaster at the fair is $2. there are n people in a group who want to go on the ride. write an expression that describes the total amount of money the group will need to ride this roller coaster.

Answers

n # of people times $2 per ticket

n(2)

which polygon does NOT belong with the other three?

A. parallelogram
B. rectangle
C. rhombus
D. Pentagon

Answers

D) Pentagon, it is the only one which doesn't have 4 sides/corners, but 5 instead, and therefore also has no parallel sides

Answer:

The polygon that does NOT belong with the other three is a pentagon.

Step-by-step explanation:

A polygon is a 2 D shape formed with straight lines. Like - triangles, quadrilaterals, pentagons, hexagons etc.

Here in the given choices, parallelogram , rectangle and rhombus all are four sided polygons and has parallel sides.

Only pentagon has 5 sides with no parallel sides.

Hence, the polygon that does NOT belong with the other three is a pentagon.

81 1/4 is equal to 2. True or False

Answers

False.
81 1/4 is much greater than 2.

Other Questions

Who makes most of the important governmental decisions in an autocracy Belgium is well-known for its efficient postal system. What international group founded the treaty of versailles if f(x)= 5x +40 what is f(x) when x= -5 How many diagonals can be drawn from one vertex of a hexagon Boats can travel anywhere between 50 and 150 kilometers per hour. Choose a speed between 50 and 150. Convert the speed you chose into meters per second and explain how you set up the conversion factor. The prefix 'mono' means _______________ while the suffix 'saccharide' means ______________. Therefore, a ________________________ is a simple sugar. Glucose is a common example used in class.Two, protein, monosacchrarideTwo, sugar, monosaccharideOne, lipid, monosaccharideOne, sugar, monosaccharide Order the taxa from largest (first) to smallest (fifth). 1.first phyla/division 2.second kingdom 3.third class 4.fourth order 5.fifth domain. Three interior angles of a quadrilateral measure 55, 117 and 120 degrees. What is the measure of the fourth interior angle? Based on your reading of the text, about one in _____ american adults has a drinking problem. Amphibians develop special adaptation to live in water and on land. Although amphibians spend their early lives in water, they undergo.. A-metamorphosis B-regeneration C-molting to develop ..A-trachea B-lungs c- gills, so that they can survive on land. How did new knowledge, based on Aristotle and other Greek thinkers, pose a challenge to Christian scholars ? Gail owns a small business. There was a profit of $43 on Saturday and a loss of $48 on Sunday. Find the total profit or loss for the weekend.A) $5 profit B) $5 loss C) $91 loss D) $91 profit HELP! solve for p p+10/p-7=8/9 find the product of (a+b)(2a-5b) which best describes the effect of flooding on the development of civilization in Mesopotamia? Which of the following is rationalA. 3*piB. 2/3+9.26C. sqrt of 45 + sqrt of 36D.14.3... + 5.78765239... An auditor assesses the risk of material misstatement because ita. is relevant to the auditor's understanding of the control environment.b. provides assurance that the auditor's overall materiality levels are appropriate.c. indicates to the auditor where inherent risk may be the greatest.d. affects the level of detection risk that the auditor may accept. in what present-day was the cherokee nation once found? Nobody has ever proved that using cell phones causes brain tumors. therefore, using cell phones does not cause brain tumors. Steam Workshop Downloader