How many ounces of 50% alcohol solution must be mixed with 80 ounces of a 20% alcohol solution to make a 40% alcohol solution?

Answers

Answer 1
x = amount of 50% solution
y = total amount after mixing

Note that the amount of alcohol in the 20% solution is 80 (0.2) = 16 oz.

We have 2 unknowns, so we need 2 equations:
first, we can write the equation for the total volume:
y = x + 80

next, apply the percentages to get an equation for the amount of alcohol:

0.4 y = 0.5 x + 16

Finally, solve the pair of equations (in this case, by substitution of the 1st into the second:
0.4 (x + 80) = 0.5x + 16
0.4 x + 32 = 0.5X + 16
rearrange and combine like terms:
0.1x = 16
x = 160
from the 1st equation:
y = 160 + 80 = 240

Related Questions

Find the range for the domain {-3, 1,4.5} f(x) = 2x

Answers

Answer:

Step-by-step explanation:

f(x) = 2x2

Range = {f(-3), f(1), f(4), f(5)} = {18, 2, 32, 50}

How do you find the slope of the line passing through each pair of points (-4, 19), (4, 9)

Answers

Answer:

[tex]m=\frac{7}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-4, 19)

Point (4, 9)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{9+19}{4+4}[/tex]Add:                              [tex]m=\frac{28}{8}[/tex]Simplify:                        [tex]m=\frac{7}{2}[/tex]

Whats The Answer Marking Brainliest, Please explain your answer:D..............................Please HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Wyatt I'm pretty sure so D

Step-by-step explanation:

Your answer would become D

consider helping me please​

Answers

Answer:

Step-by-step explanation:

only because you asked nicely ofc

18.40

it took me forever but the answer is 18.40

so 17 trips with the 30 bucks a month one and 8 trips with the 2.30$ a trip

]I need help with just B and c I got A

Year number Western Beach width (in feet) Dunes Beach width (in feet)
0 100 20
5 90 45
10 80 70
11 78 75
12 76 80
15 70 95
A. Describe the patterns shown by the erosion data measurements shown for each of the beaches in the table.
B. Between which years will the beaches have approximately the same width?
C. Assuming these rates remain constant, what can you do to get a better approximation of when the two beaches will have the same width?

Answers

Answer:

heres b i cant answer c cause i dont really understand it sorry Q-Q

Step-by-step explanation:

(b) Dunes Beach

In 15 yr, Dunes Beach builds up from 20 ft to 95 ft.

The rate of buildup is 75 ft/15 yr = 5 ft/yr.

Given a circle with the center (4,0) with a point P(4,8) on the circle, find the diameter of the circle.

Answers

Answer:

16

Step-by-step explanation:

To find the radius find the distance between (4,0) and (4,8). The radius is 8. Then multiply by 2 to find out the diameter.

Answer:

16

Step-by-step explanation:

Graphing the two points, you see that (4,8) is 8 points away from (4,0) - the center of the circle.

Knowing that 8 would be the radius, and that diameter = 2(radius), multiply the radius by two to find the diameter.

diameter = 2(8)

diameter = 16

Can some one help me wit this please

Answers

Answer:

I think its taylor,pine,rector or pine,taylor,rector

a chemist is using 356 milliliters of a solution of acid and water. if 19.3% of the solution is acid, how many milliliters of acid are there? round your answer to the nearest tenth.

Answers

The solution contains 68.7 milliliters of acid, according to the data provided.

What is a acid in a solution?

An acid is any substance that tastes sour in water, turns blue litmus paper red, combines with some metals to free hydrogen, reacts without bases to form salts, and facilitates chemical reactions (acid catalysis).

How do you recognize an acid?

Count the hydrogens in each component both before and after the reaction to determine if it is an acid or a basic. If the amount of hydrogens has reduced, that material seems to be the acid (which donates hydrogen ions).

According to the given data:

Solution = 356 milliliters

Acid = 19.3% of solution

The amount of acid in the solution is calculated as:

Acid = 19.3% × 356 milliliters

Evaluate

Acid = 68.708 milliliters

Acid = 68.7 milliliters

The solution contains 68.7 milliliters of acid, according to the data provided.

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Solve for x.
4(1 - x) + 2 x = -3(x + 1)

Answers

the answer is. x= -7

Factor each expression into its simplest form
5x-30

Answers

Answer:

5(x-6)

Step-by-step explanation:

fisifjejgjskdkakskfk

Place the numbers in order from smallest to largest. 22, -14, -35, 6

Answers

Answer:

-35, -14, 6, 22

Step-by-step explanation:

-35, -14, 6, 22

Step-by-step explanation:

It just is

question 5: 6 people go to a movie and sit next to each other in 6 adjacent seats in the front row of the theatre. if a cannot sit to the right of f, how many different arrangements are possible?

Answers

The number of different arrangements possible will be 600.

What are permutation and combination?

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

6 people go to a movie and sit next to each other in 6 adjacent seats in the front row of the theatre. If "A" cannot sit to the right of "F".

The total number of sitting will be

⇒ 6!

⇒ 6 x 5 x 4 x 3 x 2 x 1

⇒ 720

If A and F sit together, then the number of arrangements will be

⇒ 5!

⇒ 5 x 4 x 3 x 2 x 1

⇒ 120

Then the number of different arrangements possible will be

⇒ 720 - 120

⇒ 600

Thus, the number of different arrangements possible will be 600.

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Juan and Maria walk dogs in their neighborhood. Maria walks 10 more than twice the number of dogs Juan walks. Together they walk 52 dogs. Which system of equations models this situation if j represents the number of dogs Juan walks and m represents the number of dogs Maria walks? j=2m−10 j+m=52 m=2j+10 m+j=52 j=2m+10 j+m=52 m=2j−10 m=52−j

Answers

Answer:

m=2j+10

m+j=52

Step-by-step explanation:

juan = j

maria = m

m = 2j + 10

m + j = 52

Harry earned d dollars mowing lawns. He put 20% of his earnings in the bank and paid back $50.00 to his father. He spent
one-fifth of the remaining money on a video game. Which expression represents the amount he spent on the video game?
(0.20 - 10) dollars
(0.20 - 50) dollars
(0.160 + 10) dollars
(0.160 - 10) dollars

Answers

Answer:

(0.16d - 10) dollars

Step-by-step explanation:

"Harry earned d dollars mowing lawns. He put 20% of his earnings in the bank and paid back $50.00 to his father."

Start with d dollars.

He put 20% of d dollars in the bank. 20% of d is the same as 0.2d.

Now he has d - 0.2d = 0.8d

He paid his father $50.

Now he has 0.8d - 50

"He spent  one-fifth of the remaining money on a video game. Which expression represents the amount he spent on the video game?"

He spent 1/5 of 0.8d - 50 on a video game, so he spent on the video game:

1/5 * (0.8d - 50) = 0.16d - 10

Answer: 0.16d - 10 dollars

(You forgot the "d" in the answers."

(0.16d - 10) dollars

have an nice day

Select all of the fractions that are equivalent to 2/3​

Answers

Answer:

there's a lot:

Step-by-step explanation:

4/6,3/9,4/12,5/15,10/30,20/60,60/180.

this is the most i can do until i cant multiply anymore.

If I would drop two eggs off of a building (one being at a higher position than the other) which one would drop faster and why?

Answers

Answer: Simple Answer.

The simplest way to obtain the minimal floor is to throw an egg from the first floor, then from the second and so on. This way when the egg is finally broken then we will know that this is the floor. This is a reliable algorithm, but in the worst-case scenario it would take 100 throws.

The important thing to notice is that it is the only reliable algorithm when you have only one egg. So you need to start using this algorithm when you break the first egg.

Step-by-step explanation: Intuitive answer.

This way, our first egg should be used to split the 100 floors range into smaller ranges as efficiently as possible. Thus, an intuitive and popular answer is to throw the first egg from 1/n-th of the floors to check. For instance 1/3. Then the algorithm will look like the following:

Throw the egg from 33rd floor. If it breaks, then we check the first 32 floors using the second egg.

Otherwise, we throw the egg from 33 + (67 * 1/3) = 55th floor. If it breaks, then we check floors 34 to 55 using the second egg.

Worst case scenario for 1/3 is max(33, 24, …) = 33. This way we might find a perfect n that optimizes the number of throws using some dynamic programming. This is a valuable solution that presents programming thinking, but it is not an optimal solution.

The optimal solution is when all arguments of this max function are equal. How do we achieve it? Looking from the end, the last D(n) is going to be 1, because we will finally get to the point where there is only the single floor for the first egg. Therefore D(n-1) should be equal to 2 because it has one less throw of the first egg.

We see then that the first egg should be thrown finally from the 99th floor, previously from 99–2=97, previously from 97–3=94, 90, 85, 79, 72, 64, 55, 45, 34, 22 and the 9th floor. This is an optimal solution! This way, we need 14 throws in the worst case scenario (the smallest difference is 13, but we had to make one extra throw on the 9th floor).

Simple equation to find the answer is following:

Where f is number of floors. This can be simplified to: min n*n+ divided by 2 greater than f

That is equal to: n=ceil 8f + 1 - 1, divided by 2

the question is on the image
simply find the model class interval
and the esimage the mean ​

Answers

a) the modal class interval is 0 - 2

b) the mean number of letters delivered = 3.2

In this question, we have been given the table that shows some information about the number of letters delivered to 50 houses.

a) To find the modal class interval

In given table, the maximum frequency is 25 and the corresponding class-interval is 0 - 2.

so, the modal class interval is 0 - 2

b) To find an estimate for the mean number of letters delivered.

Number of letters | mid-point | Number of |  (mid-point × frequency)

    delivered          |                  |     houses   |

      0 - 2                |       1          |        25        |               25

      3 - 4                |      3.5       |         12        |               42

      5 - 7                |        6        |         8          |               48

      8 - 10              |       9         |         5          |                45

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

                                  Total :            50                          160

Mean = 160 / 50

          = 3.2

Therefore, a) the modal class interval is 0 - 2

b) the mean number of letters delivered = 3.2

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Corrine bought 8.4 pounds of almonds. She divided them into 30 snack-size bags. How many pounds are in each bag?
helphelphelp ASAPPPPP!!!!!

Answers

Answer:

0.28 pounds in each bag.

Step-by-step explanation:

There are 0.28 pounds in each snack-size bag.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings.

For example 4/2 = 2

We have been given that she bought 8.4 pounds of almonds. She divided them into 30 snack-size bags.

We have to determine the number of pounds in each bag.

The number of pounds in each bag = total quantity of almonds ÷ number of bags

The number of pounds in each bag = 8.4 pounds ÷ 30 bags

The number of pounds in each bag = 8.4/30

Apply the division operation, and we get

The number of pounds in each bag = 0.28 pounds

Thus, there are 0.28 pounds in each snack-size bag.

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Consider the equation 2x + 2y=8.
Write an equivalent equation by multiplying the equation by 3.
Does the equation have the same solution set?
6x+ 2y = 24, yes it has the same solution se
2x + 6y =8, no it doesn't have the same solution set.
6x+ 6y = 24, no it doesn't have the same solution set.
6x + 6y = 24, yes it has the same solution set!
O

Answers

Answer:

A) 6x + 6y = 24, Yes, they have the same solution set

Step-by-step explanation:

Let's first start by multiplying the equation by 3:

(2*3)x + (2*3)y = 24

6x + 6y = 24

Now lets find the solution set for both:

6y = -6x + 24

y = -x +4

2y = -2x + 8

y = -x +4

Yes, they have the same solution set

tentukan hasil dari (2√3–5√7)(2√3–5√7)=
pakai cara

Answers

Answer:

solving the expression [tex]\left(2\sqrt{3}-5\sqrt{7}\right)\:\left(2\sqrt{3}-5\sqrt{7}\right)[/tex] we get [tex]\mathbf{187+20\sqrt{21}}[/tex]

Step-by-step explanation:

We need to solve: [tex]\left(2\sqrt{3}-5\sqrt{7}\right)\:\left(2\sqrt{3}-5\sqrt{7}\right)[/tex]

We can write it as:

[tex]\left(2\sqrt{3}-5\sqrt{7}\right)\:\left(2\sqrt{3}-5\sqrt{7}\right)\\=\left(2\sqrt{3}-5\sqrt{7}\right)^2[/tex]

We can use formula: [tex]a^2-b^2=a^2-2ab+b^2[/tex]

[tex]=\left(2\sqrt{3})^2-2(2\sqrt{3})(-5\sqrt{7})+(-5\sqrt{7}\right)^2\\=4(3)+20\sqrt{3}\sqrt{7}+25(7)\\=12+20\sqrt{3\times 7}+175\\=187+20\sqrt{21}[/tex]

So, solving the expression [tex]\left(2\sqrt{3}-5\sqrt{7}\right)\:\left(2\sqrt{3}-5\sqrt{7}\right)[/tex] we get [tex]\mathbf{187+20\sqrt{21}}[/tex]

convert the binary number to a decimal number (show workings)


1011101

Answers

1011101₂ = 1 • 2⁶ + 1 • 2⁴ + 1 • 2³ + 1 • 2² + 1 • 2⁰

1011101₂ = 64 + 16 + 8 + 4 + 1

1011101₂ = 93₁₀

plss help me im on a timer 12 mins left plsssss

Answers

Answer:

$47.85

Step-by-step explanation:

you multiply.

Answer:

$47.85

Step-by-step explanation:

Calculator

4 2/5 divided by 3 1/7 euals plz give mixed number answer ty

Answers

4 2/5 = 22/5
3 1/7 = 22/7
22/5 x 7/22 = 154/110 = 7/5

The answer is 1 2/5

What is the value of -5 x 6

Answers

Answer:

-30

Step-by-step explanation:

I used a calculator

how do I do 3y - 6 = 2x​

Answers

Answer is if your looking for the slope and y-intercept
Slope: 2/3
Y-Intercept: (0,2)

Identify the sample space of the probability experiment: Answering a true or false question.

A) 1
B)2
C)4
D)5

Answers

Answer:

there are 5

Step-by-step explanation:

"im different"

The sample space of the statement is 2.

What is sample space?

"A sample space is a collection or a set of possible outcomes of a random experiment. The sample space is represented using the symbol, “S”. The subset of possible outcomes of an experiment is called events. A sample space may contain a number of outcomes that depends on the experiment. If it contains a finite number of outcomes, then it is known as discrete or finite sample spaces."

"The samples spaces for a random experiment is written within curly braces “ { } “. There is a difference between the sample space and the events."

The given statement is "Answering a false question"

Sample space of the following is S = {True, False}

Hence B is the correct option.

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help plz i rely need help with this question

Answers

b. it will get smaller.

Answer:

It gets smaller which is B

Step-by-step explanation:

multiplying by a number less than 1 will make a fraction smaller like 1/2 (4) which is basilcally asking ou half of 4 which makes the final answer smaller.

SOMEONE PLEASE HELP!!!Which of the following represents the synthetic division form of the long
division problem below?

Answers

Answer:

Choice C

Step-by-step explanation:

When setting up synthetic division you do:

x-5=0

x=5

and get the numerator's coefficients:

1, -3, 4

                   

so that's 5 | 1 -3 4

Answer:

C

Step-by-step explanation:

You need to equal the denominator (x — 5 = 0)

When you leave the x alone the result is x=5, so the number outside the “house” is five.

Then you look at the equation in the numerator and you place the coefficients in order and with their signals.

X^2 the coefficient is 1

-3x the coefficient is -3

4 the coefficient is 4

Helppppppppppppppppp

Answers

Answer:

AD if my calculations are correct

Step-by-step explanation:

Answer:

I think the answer would be CD

Step-by-step explanation:

If I remember correctly, the angles correspond with the line they are opposite of

an amusement park charges an admission fee of 40 dollars per person. the cost, c (in dollars), of admission for a group of people is given by the following function.

Answers

Cost of admission for a group of 2 people = 80 dollars

Admission fee for one person = 40 dollars.

Let 'c' be the cost (in dollars) of admission for a group of people, 'p'.

The function modelling this situation is given by, c(p) = 40p

This is an example for linear function modelling in real life situations.

To find the cost of admission for a group of 2 people , substitute p = 2 in c(p).

That is , c(2) = 40 x 2 = 80 dollars.

So the cost of admission for a group of 2 people = 80 dollars.

The question is incomplete. Find the complete question below:

An amusement park charges an admission fee of 40 dollars per person. The cost, C (in dollars), of admission for a group of P people is given by the following. C=40p What is the cost of admission for a group of 2 people?

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