An ammonia and water mixture fills a five-gallon container. Eighty percent of the mixture is ammonia but some of the mixture will be drained and replaced with pure water. If a five-gallon mixture of fifty percent ammonia is desired, how many quarts of the mixture need to be drained before the water is added

Answers

Answer 1

Answer:

The volume of the 80% ammonia that is to be drained before water is added is 7.5 quartz

Step-by-step explanation:

The volume of the ammonia and water mixture = 5 gallons

The percentage of ammonia in the mixture = 80%

The volume of ammonia desired = 5 gallons

The percentage concentration of ammonia desired = 50%

The diluting solution = Pure water

The measure of 4 quarts = 1 gallon

Therefore, we have, by equivalence solutions;

80% × x gallon = 50% × 5 gallons

x gallon = 50% × 5 gallons/(80%) = 3.125 gallons

x = 3.125 gallons

The volume of the 80% ammonia that is to be drained = 5 gallons - 3.125 gallons = 1.875 gallons

4 quarts = 1 gallon

1 gallon = 4 quarts

∴ 1.875 gallons = 4 × 1.875 quartz = 7.5 quartz

The volume of the 80% ammonia that is to be drained before water is added = 7.5 quartz


Related Questions

A circle is represented by the equation x2 + 8x + y2 – 12y = –29. Describe the algebraic technique(s) needed to rewrite the equation in standard form. Identify the center and radius of the circle. Show your work

Answers

The equation of the circle can be written in standard form and in a general form

The center of the circle is (-4,6) and the radius is [tex]\sqrt{23[/tex]

How to identify the radius and the center of the circle

The equation of the circle is given as:

[tex]x^2 + 8x + y^2 - 12y = -29[/tex]

Rewrite as:

[tex]x^2 + 8x + k - k + y^2 - 12y + k - k= -29[/tex]

Express k as the square of the half of the coefficients of x and y.

So, we have:

[tex]x^2 + 8x + (4)^2 - (4)^2 + y^2 - 12y + (6)^2 - (6)^2= -29[/tex]

Evaluate the exponents

[tex]x^2 + 8x + 16 - 16 + y^2 - 12y + 36 - 36 = -29[/tex]

Collect like terms

[tex]x^2 + 8x + 16 + y^2 - 12y + 36 = -29 + 16 + 36[/tex]

Express as perfect squares

[tex](x + 4)^2 + (y - 6)^2 = -29 + 16 + 36[/tex]

[tex](x + 4)^2 + (y - 6)^2 = 23[/tex]

The standard equation of a circle is:

[tex](x - a)^2 + (y - b)^2 + r^2[/tex]

Where:

Center = (a,b)

Radius = r

So, we have:

Center = (-4,6)

Radius = [tex]\sqrt{23[/tex]

Hence, the center of the circle is (-4,6) and the radius is [tex]\sqrt{23[/tex]

Read more about circle equation at:

https://brainly.com/question/1559324

An antique vase is worth £300 when I buy it, its value increases by 2% each year. How much will it be worth in 8 years time?

Answers

300 x 1.02^8 = 351.4978 = £351.50 after 8 years

Somebody please help me with this please

Answers

Answer:

x = 52.2

Step-by-step explanation:

we have adjacent (56) and opposite (x) so we use tan (Toa = opposite/adjacent).

Set up like so:

tan 43 = x/56

x = 52.2208

x = 52.2

Which graph represents the solution set of the compound inequality?
−5
please help!!!

Answers

Answer:

the first

Step-by-step explanation:

it just is. Be smarter.

Barry and his sister went to lunch at Applebee's. The total bill was $21.60 and they left a $3.40 tip. Approximately what percent of the total bill did they leave as a tip?​

Answers

Answer:

25.20

Step-by-step explanation:

Answer:

The answer is 0.7344

I'm not sure tho

Factor completely 6x2 − 11x − 10. (6x 2)(x − 5) (6x − 2)(x 5) (3x 2)(2x − 5) (3x − 2)(2x 5).

Answers

Factors of the given expression are [tex](2x-5) ,(3x+2)[/tex]

The given expression is:

[tex]6x^2-11x-10[/tex]

What is a factor?

A factor is a number that divides another number leaving no remainder.

we can split the middle term as,

[tex]6x^2-15x +4x-10\\[/tex]

[tex]3x(2x-5)+2(2x-5)\\\\(2x-5) (3x+2)[/tex]

Therefore factors of the given expression are [tex](2x-5) ,(3x+2)[/tex]

To get more about factors visit:

https://brainly.com/question/9781037

For the same data, two differ models are graphed. Which model more closely matches the data?

Answers

Answer: A.

I would say that it would have to be A. because it seems like B has all of the dots a little higher than the line while on A they seem closer packed into the line.

Step-by-step explanation:

The outside service area of a cereal box and printed with texts and pictures what is the surface area in square inches of a box that is 2 inches wide 7 inches long and 10 inches tall

Answers

The answer is 208square inches

Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
2, 5, 8, ...

Answers

3, 12, 48 ... =
3(4)^0, 3(4)^1, 3(4)^2 ... =
3(1), 3(4), 3(16) ....
3, 12, 48 ...

please help me with that question​

Answers

Answer:

Step-by-step explanation:

at the end of;                Karabo                         John

1st hour                           80km                          0km(bcause he hasn't started)

2nd hour                       160 km                         100km

3rd hour                        240 km                         200km

4th hour                        300 km                         300km

now I'm not sure whether we should consider the time period after the starting time of karabo, or that of John (they have a gap of one hour u know..)

so, from the starting time of karabo, it takes 4 hours, and from the starting time of John it's 3hours. (Because John started 1 hour later)

The sum of three consecutive even numbers is 144. Find the highest even number.( Take the lowest even number as 4x-2)​

Answers

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Given :-

The sum of 3 consecutive even number is 144The lowest even number as 4x - 2

To Find :-

We have to find the highest consecutive number.

Let's Begin :-

Here ,we have

The sum of three consecutive even numbers is 144[ Consecutive even numbers are the sequence of numbers that differ by 2 or that are divisible by 2 ]The lowest even number is 4x - 2

Let the three consecutive number be

(4x - 2) , 4x , ( 4x + 2)

According to the question,

[tex]\sf{ (4x - 2) + 4x + ( 4x + 2) = 144}[/tex]

[tex]\sf{ 4x - 2 + 4x + 4x + 2 = 144}[/tex]

[tex]\sf{ 8x - 2 + 4x + 2 = 144}[/tex]

[tex]\sf{ 12x = 144}[/tex]

[tex]\sf{ x = }{\sf{\dfrac{ 144}{12}}}[/tex]

[tex]\sf{ x = }{\sf{\cancel{\dfrac{ 144}{12}}}}[/tex]

[tex]\sf{ x = 12 }[/tex]

Thus, The value of x is 12

Therefore,

The three consecutive even numbers are

[tex]\sf{ 4x - 2 = 48 - 2 = 46 }[/tex][tex]\sf{ 4x = 48 }[/tex][tex]\sf{ 4x + 2 = 48 + 2 = 50 }[/tex]

Hence, The highest consecutive even number is 50 .

Explain how to describe the data on a histogram.

Answers

A histogram is a graphical representation of discrete or continuous data. To put it another way, it gives a visual representation of numerical data by displaying the amount of data points that fall within a given range of values.

Answer:

 visual interpretation. of numerical data

Step-by-step explanation:

A histogram is a graphical representation of discrete or continuous data. To put it another way, it gives a visual representation of numerical data by displaying the number of data points that fall within a given range of values.

5. Find the area.
What do I do

Answers

Answer:

508.68cm^2

Step-by-step explanation:

this is a semicircle, so first get the whole circle by s=

[tex]\pi \: r {}^{2} [/tex]

so it said you should plug in 3.14 for pi,

3.14×18^2=1017.36

and semicircle should be the half of it, which is 508.68 cm^2

Answer:

127.17 cm²

Step-by-step explanation:

The area of a circle of radius r is given the the formula below.

A = πr²

Since you have a semicircle, divide the area of a circle by 2.

A[semicircle] = πr²/2

A[semicircle] = 3.14 × (9 cm)² / 2 = 127.17 cm²

Answer: 127.17 cm²

You are correct. Remember to include the units. In this case, it is cm².

Jon Deposits $7,050 into an account paying 5% annual interest compounded quarterly and Sara deposits $4,867 into an account paying 10% annual interest compounded daily who will have more money after 1 year? How much more will that person have? Show and explain all work.

Answers

The person that would have more money at the end of the year is Sara.

Who would have more money?

The formula that would be used to determine the future value of an amount is:

FV = P (1 + r/m)^nm

FV = Future value P = Present value R = interest rate m = number of compoundingN = number of years

Jon = $7050 x (1 + 0.05/4)^4 = $7409.16

Sara = $4867 x (1 + 0.1 / 365)^365 = $5378.79

To learn more about future value, please check: https://brainly.com/question/18760477

how many holes does a t shirt have?​

Answers

Answer:

This shirt has 8 holes :)

Please mark as brainliest

Students are making the scenery for a school play. They use a large piece of plywood
to represent the front of a house, with a semicircular window cut out. Now they need
to paint the plywood. Find the area that will be painted.

1. List the shapes that make up the front of the house. (2 points)

2. Describe your strategy for finding the area that needs to be painted. (2 points)

3. Find the area for f each shape. Use 3.14 for n (4 points)

4. What is the total area to be painted? (2 points)

Please help me find the answers and shiw your work step by srep for eac question to get to the answer please and ill guve brainlist and some points please answer quickly!!!


Answers

Answer:

57.72 in^2

Step-by-step explanation:

Question 1. Shapes are triangle, semi-circle, and rectangle.

Question 2.Find area of rectangle first. Then area of triangle and circle. Subtract area of triangle and circle. Then add the difference with the rectangles area.

Question 3.

Rectangle's area:48 in^2

Triangles area:8*4/2=  16 in^2

Circle Area: pi*r^2/2(since its a semi-circle)

3.14*2^2=3.14*4=12.56/2=6.28 in^2

Question 4.

16-6.28=9.72

9.72+48=57.72 in^2

A gymnastics coach records the scores of a gymnast and develops the probability distribution below. what is the probability the gymnast scores a 9 or 9.5? probability distribution gymnastics score: x probability: p(x) 5 0.02 5.5 0.02 6 0.06 6.5 0.1 7 0.16 7.5 0.14 8 0.18 8.5 0.18 9 ? 9.5 0.02 0.02 0.04 0.12 0.14

Answers

The sum of all the probabilities must be one. Then the probability that the gymnast scores a 9 or 9.95 is 0.14.

What is a probability distribution?

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

Researching on the internet, the probability of the gymnast getting each score is given by:

P(X = 5) = 0.02P(X = 5.5) = 0.02P(X = 6) = 0.06P(X = 6.5) = 0.1P(X = 7) = 0.16P(X = 7.5) = 0.14P(X = 8) = 0.18P(X = 8.5) = 0.18P(X = 9) = xP(X = 9.5) = 0.02

Considering that it is a distribution, the sum of all the probabilities must be one.

0.02 + 0.02 + 0.06 + 0.1 + 0.16 + 0.14 + 0.18 + 0.18 + x + 0.02 = 1

0.88 + x = 1

           x = 0.12

The probability that the gymnast scores a 9 or 9.95 will be

P(9 or 9.5) = (X = 9) + P(X = 9.5) = 0.12 + 0.02 = 0.14

More about the probability distribution link is given below.

https://brainly.com/question/795909

Answer: D

Step-by-step explanation:

trust me bro I got it right

combine like terms 4(p+3)-8

Answers

man i  don't   know

Step-by-step explanation:

 i  hope  it's   like 20 ? i guess  it's  20

Answer:

4(p+1)

Step-by-step explanation:

Please help me Asap thanks if you do!

Answers

Answer:

(A) 9

Step-by-step explanation:

Substitute 2 for X

[tex]7-(-2)=9[/tex]

Determine the values of the requested variables

Answers

Answer:

y = 24

angle V = 67

as a 4 sided shape, the angles all have to add up to 360 degrees.

we already have the answers for R, 120, and B, 53. We have 187 degrees left to work with.

Based of the information the tics on the sides of the figure gives us, we know that angle P and R are the same! First (just for fun, this isn't needed) we'll find X.

(x+95) = 120

   -95     -95

       x = 25

We know 3/4 angles now, so by subtracting their sum from 360, we'll find angle V!

360 - 53 -120 - 120 = 67

Angle V is 67

Now to find y!

(2y+19)=67

     -19  -19

     2y = 48

     /2     /2

       y = 24

Help ASAP I’ll give brainliest don’t answer of u do not know thank u Sm:)

Answers

the answer to the question is >
hopefully this helps!

A point at (54, -27) is rotated 720° clockwise about the
origin. What are the new coordinates for the point?
a. (54,-27)
b. (-27, -54)
c. (-54, 27)
d. (27,54)

Answers

La respuesta para esa es B

Eduardo is making a friendship bracelet with 6 different colors of thread. He uses 22 inches of each color. How many feet of thread does he use in all?

Answers

11 ft in all I believe

please help, this is due tomorrow

True or false. justify your answer.

if horse A is twice as far as horse B from the center of a merry-go-round, then horse A travels twice as fast as horse B​

Answers

Answer:

True

Step-by-step explanation:

Horse A travels twice the distance horse B travels.

It is because the distance, the circumference of circle, is the function of the radius. The circumference is directly proportional with the radius.

Since r₁ = 2r₂, the distance is:

C₁ = 2πr₁ = 4πr₂C₂ = 2πr₂

The time of travel is same so the difference is reflected in the speed.

The horse A has twice the speed of horse B.

what is the difference between 35.032 and 20.1

Answers

Answer:

35 is different from 20

Step-by-step explanation:

too easy for explanation

Answer:

The difference is 14.932

Step-by-step explanation:

In other words, it's asking you to subtract 20.1 from 35.032.

Hope that helps!

Jameelah got 4 kilograms of candy. Since she didn’t want to eat it all, she decided to share it with her 4 friends. If the 5 of them share the 4 kilograms, how much will each of them have?
help me

Answers

Answer:

Each of them will have 0.8 kg of the candy.

Step-by-step explanation:

Don't have one sorry!

Write −x^2+2xy−y^2 as the opposite of the square of a binomial.
PLEASE HELP ME PLEASE I WILL GIVE BRAINLYEST

Answers

Answer:

[tex]-(x-y)^2[/tex]

Step-by-step explanation:

Original expression:

[tex]-x^2+2xy-y^2[/tex]

Factor out -1:

[tex]\implies -(x^2-2xy+y^2)[/tex]

Factor [tex]x^2-2xy+y^2[/tex]:

[tex]\implies -(x-y)(x-y)[/tex]

Apply exponent rule [tex]aa=a^2[/tex]:

[tex]\implies -(x-y)^2[/tex]

Resolva a expressão: 6÷3+2•7

Answers

Step-by-step explanation:

What is the molar mass of an element?

the total number of particles in one gram of the element

the mass of 6.02 x 1023 representative particles of the element

the number of amus (atomic mass units) in 6.02 x 1023 moles of the element

1.0 gram divided by the atomic weight of the element

The answer is 16…
because 6 •|• 3 is 2 and 2•7 is 14 then add them together. 2+14=16

Complete the ratio table

Answers

Answer:

110

Step-by-step explanation:

101-86=15

95+15=110

110-15=95

Answer:

110

Step-by-step explanation:

In this problem, you are adding 15 to each Input to get the Output. That is why I added 15 to 95 in order to get 110.

The hourly wage of some Toyota automobile assembly line workers is being increased annually by the same percentage

If their wage went from $6.80 to $10.19 in 7 years what is the doubling time?

(nearest year)

Answers

The doubling time of the hourly wage of the workers is an illustration of an exponential function that has a rate of 2

The doubling time of the wage is 4 years

How to determine the doubling time

A doubling function is represented as:

[tex]p = w \times 2^{\frac{x}{t}}[/tex]

Where:

p represents the final amount i.e. p = 10.19w represents the initial amount i.e. w = 6.80t represents the duration i.e. t = 7x represents the doubling time

So, we have:

[tex]10.19 = 6.80 \times 2^{\frac{x}{7}}[/tex]

Divide both sides by 6.80

[tex]1.50 = 2^{\frac{x}{7}}[/tex]

Take the logarithm of both sides

[tex]\log(1.50) = \log(2^{\frac{x}{7}})[/tex]

Apply the law of logarithm

[tex]\log(1.50) = \frac{x}{7}}\log(2)[/tex]

Multiply both sides by 7

[tex]7 \times \log(1.50) = x\log(2)[/tex]

Divide both sides by log(2)

[tex]x = 7 \times \log(1.50) \div \log(2)[/tex]

[tex]x = 4.09[/tex]

Approximate

[tex]x \approx 4[/tex]

Hence, the doubling time is 4 years

Read more about doubling time at:

https://brainly.com/question/188355

Other Questions
Explain why there are convection currents and why there are hotter and colder parts of the earth. Which of the following are said to be physical properties of gases?Select one:a.The atoms or molecules of a gas are relatively far apart.b.A gas expands to fill the space in a closed container.c.A gas is easily compressed.d.All of the above.e.Answers A and B only. 50 points + brainliest Choose A B C or D for problems 1,2,3,4*No explanation needed*TY:)) A 35.3 g of element M is reacted with nitrogen to produce 43.5 g of compound M3N2 What is (i) the molar mass of the element and (ii) name of the element? Stacy uses slang and abstract words during her everyday speech, but during her speech on a recent change to her state's tax laws, she uses her own developed style that avoids both of these things. By using her own developed style, Stacy is using language that is which of these is not a function of the digestive system A) break down foodB) absorb nutrients C)synthesis of insulin D)synthesis of vitamin K hello people ~Which of the following can be beaten into thin sheets?A. ZincB. PhosphorusC. SulphurD. Oxygen how many zeros in x^4 + 3x2 + 12 please help me due today the table shows the results for spinning the spinner 75 times. what is the relative for the event spin a 1? outcome: 1. 2. 3. 4. frequency:12. 20. 27. 16 the relative frequency for the event spin a 1 is? ___ In how many ways can 3 oaks, 4 pines, and 2 maples be arranged along a property line if one does not distinguish among trees of the same kind? Jose invested $5,100 in an account paying an interest rate of 8 % compoundedquarterly. Michael invested $5,100 in an account paying an interest rate of 83%compounded monthly. To the nearest dollar, how much money would Michael havein his account when Jose's money has doubled in value? I UNDERSTAND THIS BUT IM NOT SURE HOW TO DO THIS AND IF IM ANSWER IS RIGHT If p is a statement, which of the statements is the negation of p? (select all that apply)p is falsep is trueand pnot por p when people who are allergic to pollen come in contact with pollen their eyes begin to water an inch due to the release of According to reports, 30% of American adults have chronic insomnia. If 3 American adults are chosen at random, what is the probability that all 3 have chronic insomnia? an iron wire bent in the shape of parabola has rectum of length 60cm what is it's focal length? Find the area of the triangle.b= 4mh= 200cm 36 people pay a total of $936 to visit the theatre. If each person pays thesame amount, how much does each person pay? The poster shows how many of its games the football team has won. Express this information as a fraction a percent and decimal