Stephanie wants to make 22.5 qt. of a 20%

alcohol solution by mixing together a 6%

alcohol solution and a 36% alcohol solution.

How much of each solution must she use?

Answers

Answer 1

Answer:

y = 10.5qt

x = 12 qt

Step-by-step explanation:

0.6x+ 0.36y = 22.5 * 0.2

0.06x + 0.36y = 4.5

x + y = 22.5

x = 22.5 - y

0.06(22.5 - y) + 0.36y = 4.5

1.35 - 0.06y + 0.36y = 4.5

0.3y = 4.5 - 1.35

0.3y = 3.15

y = 3.15 / 0.3

y = 10.5 qt

x = 22.5 - y

x = 22.5 - 10.5

x = 12 qt


Related Questions


(0,2), (3,3), (8,7), (2,2), (3,9)
Domain :
Range:​

Answers

Answer:

Domain: ( 0, 3, 8, 2 )

Range : (2, 3, 7, 9)

Step-by-step explanation:

write the recurring decimal 0.25656565656 as a fraction in its simplest form

Answers

Answer:

127/495

Step-by-step explanation:

Turning repeating decimals into fractions is a little like surgery: you need to make sure to "cut out" just the right part to let you simplify. In this case, it'd be very nice if we could deal with that repeating 0...565656... part. Let's start by giving our decimal a name:

[tex]x=0.25656...[/tex]

We're gonna split this into two parts: a number we can operate on, and "knife" to make the incision. For both, we'd like the only part to the right of the decimal to be the repeating part. To make our "knife," we'll multiply both sides of the equation by 10:

[tex]10x=2.5656...[/tex]

To make the number we'll be cutting from, we can shift the decimal point by any multiple of two more to the right. I'll keep things simple and stick with 2. This corresponds to multiplying the "knife" equation by 100 on both sides:

[tex]1000x=256.5656...[/tex]

Surgery time! To cut out the repeating bit, we can now just subtract the "knife" equation from the one above:

[tex]1000x-10x=256.5656...-2.5656...\\990x=254[/tex]

And just like that, it's gone! All that's left to do now is divide both sides by 990 and simplify:

[tex]x=254/990=127/495[/tex]

Please help me I’m lost

Answers

Y=8z+2 ? That might be the answer because he learns 8 songs each month and z stands for months and the 2 is the songs he needs to learn

Please help sbdbdbdbdbdbdndbndbbdbdbdbdb

Answers

Answer:

x ≤ [tex]\frac{7}{17}[/tex]

Step-by-step explanation:

multipy both sides by twelve

move the variable to the left side and change the sign

collect like terms

divide both sides by -17 and flip the inequality sign

What is the coefficient in the term 7x-8

Answers

Answer:About "Identify the terms and coefficients" Identify the terms and coefficients : A single variable or a constant or a combination of these as a product or quotient forms a term.

Step-by-step explanation:

Answer:

I think you forgot to put the picture

Step-by-step explanation:

but try this:

A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient. Variables with no number have a coefficient of 1.

2
Find the Surface area of the prism.
(2 Points)
5 in
3 in
8 in
4 in

Answers

Answer:

The surface area of the prism is 108 square in.

Ted's company has received an order to print 10^6 pages. Ted's company has 100 machines., each of which can print 10^4 pages a day. Ted's coompany can print the 10^6 pages in 1/10 day, 1 day, 10 days, or 100 days?

Answers

Answer:

1 day because he has 100 machines not just one

Step-by-step explanation:

I NEED HELP WITH MATH CAN ANYONE HELP!!!

Answers

Answer:

ummmmmmmmmm I can try c:

Answer:

YES MAM , WHAT SEEMS TO BE THE PROBLEM < BECAUSE I DONT SEE ONE

Step-by-step explanation:

Are the Rectangles Similar? Why you why not?

Answers

Answer:

The rectangles are similar.

Step-by-step explanation:

They are similar because the rectangle on the bottom is two times bigger than the rectangle on the top.

write down the factors of 57 which lie between 1 and 57​

Answers

Answer:

The factors of 57 which lie between 1 and 57 are as follows:

{1,3,19,57}

There are 320 students in a school. The ratio of the number of boys to the number of girls is 3:2. When some new boys and girls are admitted, the number of boys increases by 8 and the ratio of number of boys and girls changes to 4:3. Find how many new girls are admitted.​

Answers

320/5=64
64 x 3 = 192 (number of boys in the beginning)
64 x 2 = 128 (number of girls in the beginning)
192 + 8 = 200 (boys now)
200/4=50
50 x 3 = 150
150 - 128 = 22 (amount of girls added)
Number of girls added: 22

Helpppp plssss. PLSSS

Answers

Answer:

81

Step-by-step explanation:

Hope this helps you!!!

Answer: C: 81

Step-by-step explanation:

What is the length of segment TR?

Answers

Answer:

8 units

Step-by-step explanation:

5+ 2 1/2 + 7 1/2 + 2 1/2+ 7 1/2 +5=

Answers

Answer:

its 30.

Step-by-step explanation:

that's all I know.

answer should be 30! hope this helps

How do you find the circumference of a circle? Please include an example if you’d like.

Answers

Answer:

Step-by-step explanation:

Plug the given value of the diameter into the formula and solve.[2]

Example problem: You have a circle tub with a diameter of 8 feet, and you want to build a white fence that creates a 6-foot wide space around the tub. To find the circumference of the fence that has to be created, you should first find the diameter of the tub and the fence which will be 8 feet + 6 feet + 6 feet, which will account for the entire diameter of the tub and fence. The diameter is 8 + 6 + 6, or 20 feet. Now plug it into the formula, plug π into your calculator for its numerical value, and solve for the circumference:

C = πd

C = π x 20

C = 62.8 feet

Raju bought an old car for Rs.125000 and spent Rs.25000 on its repair . He sold the car for Rs.200000 . Find his gain or loss percent .

Answers

Answer: [tex]33.33\%[/tex]

Step-by-step explanation:

Given

Raju buy an old car for [tex]Rs\ 1,25,000[/tex]

He spent [tex]Rs\ 25000[/tex] on its repair

The selling price of the car  [tex]Rs\ 2,00,000[/tex]

So, the cost price is

[tex]\Rightarrow C.P.=1,25,000+25,000=Rs\ 1,50,000[/tex]

Here, [tex]S.P.> C.P.\quad \text{i.e. gain}[/tex]

Gain percent is

[tex]\Rightarrow \text{Gain percent}=\dfrac{2,00,000-1,50,000}{1,50,000}\times 100=\dfrac{50,000}{1,50,000}\times 100\\\Rightarrow \text{Gain percent}=33.33\ \%[/tex]

THIS IS WORTH 24 FREAKING POINTS SO GIVE ME NO WRONG ANSWER NOW, read the question carefully and answer it correctly and carefully

Answers

Answer:

I am not the best at math but I know that u can't change the bottom half of the fraction so it would just be four and then multiply the five and the three which would be fifteen. The answer would be 15/4ths. So you want to color in 15 boxes. Hopefully I could be of some kind of help to you!

Answer:

color in 15 boxes

15/32

Step-by-step explanation:

first off, the points are split so I'm only getting 12, just so that you know.

so 1/8x1/4 is 1/32, so each box is 1/32.

5/8x3/4=15/32 (multiply the top of the first with the top of the second and the bottom of the first with the bottom of the second)

so color in 15 boxes and the answer to the multiplication is 15/32

Hope I could help!

Tom made fruit punch for a party. He mixed 2 gallons of orange juice, 4 quats of pinnapple juice, 3 pints of cranberry juice. How many quarts did he make in all?

Answers

Answer:

13.5

Step-by-step explanation:

Tom made fruit punch for a party

He used the following amount of fruits

2 gallons of orange juice

= if 1 gallon is 4 quart then 2 gallon is 4×2= 8 quarts

3 pints of cranberry juice

= if 1 pint is 0.5 quart then 3 pints is 0.5×3 = 1.5 quarts

The amount of quartz he made can be calculated as follows

= 1.5 + 8 + 4

= 13.5

Hence he made 13.5 quarts of fruit punch

What is an equation of the line that passes through the points (5, 8) and (5, 3)?

Answers

Answer:

x = 5

Step-by-step explanation:

Use the slope formula and slope-intercept form  y =  m x  +  b  to find the equation.

Hope this helps:)

Blank plus 1/5 equals 1/2​

Answers

Answer:

2/10 + ___ = 1/2              

Step-by-step explanation:

2/10 + 3/10 = 1/2

1.5/5 + 1/5 = 1/2

2.5/5 = 1/2

ANSWE = 1.5/5

I’LL GIVE BRAINLIEST :)

Answers

You’ll want to set up a proportion of 5/99=x/1485. To solve for x you will divide 5/99 to get approximately 0.05050505 and then multiply by 1485 to get 75 puppies.

Henry wanted to turn the following circle graph into a bar graph. the tallest bar in this bar graph will be represented by what part of the family budget?
A: insurance/pension
B: food
C: transportation
D: housing ​

Answers

Did you try looking it up first?

Find AC please, help is very much appreciated.

Answers

Answer:

AC ≈ 67.9

Step-by-step explanation:

15² = 9 (3x + 1 + 9)

225 = 9 (3x + 10)

225 = 27x + 90

135 = 27x

x ≈ 19.29

AC = (3x + 1 + 9)

AC = 3 (19.2857...) + 1 + 9

AC = 57.857... + 1 + 9

AC =  57.857... + 10

AC ≈ 67.9

Determine whether a triangle with the given vertices is a scalene, isosceles, or equilateral triangle. Check all that apply.

Answers

9514 1404 393

Answer:

  (a) isosceles

  (b), (c) scalene

Step-by-step explanation:

The lengths of the sides can be found from the distance formula:

  d = √((x2 -x1)^2 +(y2 -y1)^2)

Here, there are 9 lengths to be computed, so it is useful to let a spreadsheet or graphing calculator do it.

We find triangle (a) has two sides the same length, so it is isosceles.

The other two triangles have three different side lengths, so they are scalene.

_____

Additional comment

It is impossible to specify an equilateral triangle using rational coordinates.

1. Both of the equations shown have the same solution when solved for x. What is
the value of k? Show or explain all your work. *
5x + 34 = -2 (1 – 7x) and – 3 (4x + 3) + 4 (6x + 1) = k
Your answer
PLS HELPPPP

Answers

Answer:

Step-by-step explanation:

“twice the sum of a number and 6 is more than 84”

i need to write this as an inequality.

Someone please help

Answers

Step-by-step explanation:

2x + 6 > 84

2x > 78

x > 39

is the answer

Using the line ab name two line segments
Brainliest

Answers

Answer:

A. AC, CB

Step-by-step explanation:

The answer you have selected is correct because a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints. Thus the answer A is correct!

Hope this helps

All the love, Ya boi Fraser :)

Answer:

Give him brainliest!

Step-by-step explanation:

Which of the following is a difference of cubes? x^6 + 27y^9 3x^9 - 64y^3 27x^{15} - 9y^3 125x^{21} - 64y^3

Answers

Answer:

D) 125x²¹- 64y³  

Step-by-step explanation:

A) x⁶ + 27y⁹ = (x²)³ + (3y³)³  - sum of cubesB) 3x⁹ - 64y³ - the first term is not a cubeC) 27x¹⁵ - 9y³ - the second term is not a cubeD) 125x²¹- 64y³ = (5x⁷)³ - (4y)³ - difference of cubes

Correct option is the last one

Answer:

D) 125x²¹- 64y³  

Step-by-step explanation:

A) x⁶ + 27y⁹ = (x²)³ + (3y³)³  - sum of cubes

B) 3x⁹ - 64y³ - the first term is not a cube

C) 27x¹⁵ - 9y³ - the second term is not a cube

D) 125x²¹- 64y³ = (5x⁷)³ - (4y)³ - difference of cubes

Correct option is the last one

A prop for the theater club's play is constructed as a cone topped with a half-sphere. What is the volume of
the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi. Complete
sentences

Answers

Answer:

Volume of the prop = 706.5 in³

Step-by-step explanation:

Volume of the prop given in the picture = Volume of hemisphere + Volume of the cone

Volume of the hemisphere = [tex]\frac{2}{3}\pi r^{3}[/tex]

where 'r' = radius of the hemisphere

For r = 5 in,

Volume of the hemisphere = [tex]\frac{2}{3}(3.14)(5)^{3}[/tex]

                                             = 261.67 in³

Volume of a cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]

Here r = radius of the circular base

h = height of the cone

For 'r' = 5 in and h  17 in.

Volume of the cone = [tex]\frac{1}{3}(3.14)(5)^2(17)[/tex]

                                  = 444.83 in³

Volume of the prop = 261.67 + 444.83

                                 = 706.5 in³

Fred drew 2/3 on a number line. Sara broke her number line into 6 equal pieces but found the same fraction on the number line as Fred. What fraction did Sara make?

Answers

Answer:

4 / 6

Step-by-step explanation:

Fred fraction = 2/3

Sarah formed a fraction by dividing her number line into 6 equal pieces. This is given as;

x / 6

Since her fraction is equal to that of fred, we have;

x / 6 = 2 / 3

x = 6 * 2 / 3 = 4

Sarah Fraction = 4 / 6

Other Questions
What is The ability of the heart and lungs to supply oxygen to the muscles during long periods of phyiscal activity. Answer Choices A-Muscular Endurance B- Cardiorespiratory Endurance C- Flexibility D- Muscular Strength 3/18 of the teachers at Naran's school are math teachers, and 30 of the teachers are not math teachers. How many teachers are there at Naran's school? Find the area.2m 2m3m Give the center and radius of the circle x2+y2=25A) (2,3)r=5B) (0,0)r=5C) (0,0)r=25D) (3,2)r=25 Do you think i did good on my essay! :)if not I respect your opinion! How is energy produced in the sun? Draw a diagram to explain the processes. As the skin ages, it loses its ability to restore its shape due to a:decrease in collagen.decrease in hormones.decrease in keratin.decrease in elastin. A fill covering a wide area is to be placed at the surface of this profile. The fill has a total unit weight of 20 kN/m^3 and is 3 m thick. Assume that the data for the sample at 7.0 m are representative of the entire clay profile. Also assume that the clay is heavily over consolidated and that the danse sands at the surface of the profile are so stiff that they do not contribute to the settlement. Find the settlement of the surface due to compression of the clay layer Argue for or against the death penalty. Do you think the threat of the death penalty is successful or unsuccessful in discouraging people from committing murder? Why or why not? Do you think the death penalty is an acceptable punishment or that it is un Which of the following is an example of the transformation of gravitational potential energy into motion energy (kinetic energy)? Kim bought a lawn chair that had a ticket price of $25.00. She ended up paying $26.50 after tax. If she were to buy a $40.00 patio table, how much would she have to pay after tax? Last question I need help with. How did World War I and World War II bring change to the African American community and lay the groundwork for the future civil rights movement? Find the area of the shape shown below. 1. True or false, Europe's eastern regional border is clearly defined by a physical geographic feature,such as a body of water or a mountain range. A soccer ball is kicked at a velocity of 25 meters per second. The following table shows the horizontal distance (in meters) at different angles of elevation (in degrees), ignoring wind resistance.Angle of Elevation Distance Traveled15 31.925 48.830 55.545 63.850 62.855 59.960 55.570 41.0Using a quadratic regression calculator, determine the values of a, b, and c that can be used to write a quadratic function that provides a reasonable fit to the set of data. What is the value of c?A). 8.5411B). -8.5411C). 85.411D). -85.411 Solve showing all the steps need help geometry question it may rain soon,....?question tag what is the equivalent slope intercept for 5x = 4 + y Ms. Hunzikers toaster uses 60 amps of current and has a resistance of 10 ohms. What voltage would be needed for the toaster to operate correctly? plz help ill brainleist6 volts600 volts60 volts0.6 volts