Mathematics College

Container R holds a solution that is 20% alcohol and Container S holds a solution that is 60% alcohol. How many liters of solution from each container should be used to create 2 liters of solution that is 50% alcohol?
*make two equations*

Answers

Answer 1

Answer:

The number of liters for container R = x = 0.5 liters

The number of liters for container S = y = 1.5 liters.

Step-by-step explanation:

Let the number of liters of container R = x

Let the number of liters of container S = y

We are told in the question : that

Container R holds a solution that is 20% alcohol

= 20% × x = 0.20x

Container S holds a solution that is 60% alcohol.

= 60% × y = 0.60y

How many liters of solution from each container should be used to create 2 liters of solution that is 50% alcohol?

Hence;

x + y = 2 ....... Equation 1

x = 2 - y

0.20x + 0.60y = 2 × 50%

0.20x + 0.60y = 1........ Equation 2

Substitute

2-y for x in Equation 3

0.20(2 - y) + 0.60y = 1

0.40 - 0.20y + 0.60y = 1

Collect like terms

0.40y = 1 - 0.40

0.40y = 0.60

y = 0.60/0.40

y = 1.5 liters

Note that :

x = 2 - y

x = 2 - 1.5

x = 0.5 liters

Therefore,

the number of liters for container R = x = 0.5 liters

the number of liters for container S = y = 1.5 liters.

Related Questions

Mike’s dinner bill is $60. He leaves 15% for gratuity and sales tax is 5%. What was his total cost?

PLS SHOW WORK

Answers

Answer:

16

Step-by-step explanation:

Basically,

1st step: Look at the key words 5%, 60%, total cost, 15%.

Next, divide 60/15 (=4)

Then, divide 60/5 (=12)

Now, you add up 4 + 12 (=16)

Then, you lastly subtract 60 - 16 (=44)

And, they were asking for the total cost of the tax and tip (16)

So, your answer is 16!

Hope I could help! :D

Let me know if you have any problems understanding, I will be very glad to help you.

WILL MARK BRAINLIEST
The picture shows a triangular island
Which expression shows the value of c?
b/tan 45°
b/COS 45°
a cos 45º
a tan 45°

Answers

Answer: Second choice. b/cos(45)

=============================================

Work Shown:

cos(angle) = adjacent/hypotenuse

cos(45) = b/c

c*cos(45) = b

c = b/cos(45)

In the third step, I multiplied both sides by c. Afterward, I divided both sides by cos(45) to isolate c.

Answer:

ans: b/cos45

Step-by-step explanation:

as we know that cos45=b/c

then, c/b=1/cos45

therefore, c=b/cos45

What is pi/π used for in math

Answers

Answer:

In basic mathematics, pi is used to find the area and circumference of a circle. Pi is used to find area by multiplying the radius squared times pi. So, in trying to find the area of a circle with a radius of 3 centimeters, π32 = 28.27 cm.

Answer:

Succinctly, pi or π is the ratio of the circumference of any circle to the diameter of that circle.

Have A Nice Day!!!!!!

:))))))

How do you solve 4x - 18 < -x -3

Answers

Answer:

x<3

Step-by-step explanation:

--add 18--

[tex]4x-18+18<-x-3+18[/tex]

--simpifly--

[tex]4x<-x+15[/tex]

--add x--

[tex]4x+x<-x+15+x[/tex]

--simpifly--

[tex]5x<15[/tex]

--divide both side by 15--

x<3

sorry for late

<3

Red

uhm help pleaseeee <3

Answers

They can buy 20 pumpkins

Answer:

they can buy 20 pumpkin

Step-by-step explanation:

250/12.32=20.29222077922

so 20 pumpkin they can buy

REDUCE THE FRACTION -20T5U2V3/48T7U4V

Answers

Answer:

-5V2/12T2U2

Step-by-step explanation:

i thinks this would help you to understand

Answer:

-5V2/12T2U2

Step-by-step explanation:

What is the relationship between area in the scale drawing and area on the on the actual tennis court if the scale is 1in.: 5ft. and the length of the scale is 15.6 and the width is 7.2 in.

What is the ratio of areaof the actual court to the area of the drawing (as a unit rate)? Is it the same as the ratio of length of the actual court to the length of the drawing?

Answers

Given:

Length of the scale = 15.6 in.

Width of the scale = 7.2 in.

Scale of drawing = 1 in. : 5ft.

To find:

The ratio of area of the actual court to the area of the drawing (as a unit rate).

And to check whether it is the same as the ratio of length of the actual court to the length of the drawing.

Step-by-step explanation:

We have,

1 in. = 5ft.

Now, using this scale we get

15.6 in. = (15.6 × 5) ft =78 ft.

7.2 in. = (7.2 × 5) ft = 36 ft.

So, the actual length and width of tennis court are 78 ft and 36 ft respectively.

Area of actual tennis court is

[tex]Area=length\times width[/tex]

[tex]Area=78\times 36[/tex]

[tex]Area=2808\text{ ft}^2[/tex]

The area of drawing is

[tex]Area=15.6\times 7.2[/tex]

[tex]Area=112.32\text{ in.}^2[/tex]

Now, ratio of area of the actual court to the area of the drawing (as a unit rate) is

[tex]\dfrac{2808}{112.32}=\dfrac{25}{1}=25:1[/tex]

Ratio of area is 25:1 and ratio of length is 5:1 both area not same.

Therefore, the ratio of area of the actual court to the area of the drawing (as a unit rate) is 25:1.

Which expression shows the ASSOCIATIVE PROPERTY?
3 + a + b = a + 3 + b
3(ab) = (3a)b
(3 + a) + b = 3 + (a + b)
3 - a = 3 - b

Answers

Answer:

the first one

Step-by-step explanation:

Need Help running out of time: Best answer will get brainliest


In Sam's drawer, there are 17 red socks, 13 green socks, and 20 black socks. Any two socks of the same color make a pair.


* If the first sock that Sam took out was black, how many more socks must he take out from the drawer without looking to be absolutely sure to have a pair of socks (of any color)?

Answers

Answer:

19:50

Step-by-step explanation:

well when you add all the socks you have 50 socks. if the first sock that Sam took out was black the second sock would be a ratio of 19:50.

(i think)

I need help and it due today someone help meee

Answers

Alright so 1 cup feeds 3 people each, since the pattern is multiplying by 3 to get to the second number.

For a, multiply 10 by 3, which gives you 30. This will serve 30 people.

For b, divide 45 by 3, which gives you 15, meaning 15 cups of rice will feed 45 people.

Hope this helps!!

Help! I’ll mark you brainly and give extra points!!

Answers

Its in the file.

Hope it helps ;)

Add 10 8/9+ 2 2/8+ 16 2/9+ 5 7/9=

Answers

Answer:

[tex]\frac{1265}{36}[/tex]

Step-by-step explanation:

[tex]10\frac{8}{9} + 2\frac{2}{8} + 16\frac{2}{9} + 5\frac{7}{9} = \frac{1265}{36}[/tex]  

I hope this helps!

Janelle graphed a line through (−6, 5) that had a slope of −7/9. What is the y-coordinate of a point on the line that has an x-coordinate of 3?

A. −3
B. −2
C. 2
D. 3


WILL GIVE BRAINLIEST AND 80 POINTS NO WRONG ASNWERS PLZ

Answers

Answer:

b is the correct answer

hope it helps you and remember me

4. Over the span of a month, a school tracks student choices at lunch. They 1 point
find that 56% of all students buy milk with lunch and 32% buy a piece of
fruit. If 22% of all students buy both milk and fruit, which of the following
represents the percent of students who buy neither?

A. 0.28
B. 0.34
C. 0.42
D. 0.46

Answers

Answer:

b

Step-by-step explanation:

56 +32 =88

88 - 22 = 66 remove this who did both as to not double count

100-66=34 bought neither

Jskakjsjskwjwisnwjisjsjskaknsjsnsjwjsjwjwjjwjw

Answer B!!!

Renee divided an integer “x” by -4 and got 10. Then, she divided the 10 by integer “y” and got -2. Find the quotient of integers “x” and “y”. What's the quotient of x and y?


Write a complete explanation (5 or more sentences) about how you got to this answer and include your steps.

Answers

Answer:

x=-40, y= -5 the quotient of x and y ie x/y = 8

Step-by-step explanation:

we first have that when -4 divides x we get 10, thus x must be -40, simmilarly we have that 10/y = -2 thus y= -5 , therefore y=-5, their ratio or quotient is simply -40/-5 = 8.

Josie buys o purse that costs $64.95. If the sales tax is 5.5%, what is the cost of the tax.​

Answers

Answer:

3.57

Step-by-step explanation:

64.95×5.5/100=3.57

PLEASE HELP
DUE SOON
Your class is selling boxes of flower seeds as a fundraiser. The total profit p depends on the amount x that your class charges for each box of seeds. The equation
p= -0.53 +25x - 120
models the profit of the fundraiser. What's the
smallest amount, in dollars, that you can charge and make a profit of at least $105?

Answers

Answer:

$9.03

If you want smallest amount it dollars, you have to go with $9. However, this will only give you a profit of $104.47

Step-by-step explanation:

p = -0.53 +25x - 120

105 = -0.53 +25x - 120

225.53 = 25x

         x = 9.0212

Check work:

105 = -0.53 +25(9.02) - 120

105 ≠ 104.97

Since $9.02 doesn't equal $105 profit, let's add a penny to make it $9.03.

105 = -0.53 +25(9.03) - 120

105 ≠ 105.22      

If you charge $9.03 for each box you will make a profit of at least $105.

Round to smallest amount in dollars:

105 = -0.53 +25(9) - 120

105 ≠ 104.47

Simplify the fraction -24/6 then add -2

Answers

Answer:

-6

Step-by-step explanation:

-24 divided by 6 is -4, so the fraction would be simplified to -4/1, then change to a whole number and subtract 2, which equals -6.

I really need help ASAP. plz

Answers

Answer:

1---  x > 5    #4

2----x< 7     #3

3----x< 6     #2

4----x> 6      #1

Step-by-step explanation:

I googled the answers and the graphs look like they match up.  Double check ok

By selling goods for $168, a profit of 12% was made by a merchant . How much did the goods cost him ?

Answers

Answer:

$147.84

Step-by-step explanation:

168 * 0.12 = 20.16

168-20.16 = 147.84

Which is JK = C solved for K?

Answers

Answer:

k=c/j

Step-by-step explanation:

Find the common difference of the arithmetic sequence -19,-16,-13,...

Answers

Answer:

it goes up by 3 every time hope it helped <3

WILL GIVE BRAINLYIST!!!
Apples are ____% of the total number of fruits.

Answers

Answer:

25%

Step-by-step explanation:

Find the area of the figure

Answers

147 square meters.

We can break it up into two rectangles, then add the values together.

[tex]a = b \times h[/tex]

Rectangle #1 (verticle)

[tex]a = (6) \times (15 + 3)[/tex]

[tex]a = (6) \times (18)[/tex]

[tex]a = 108m^{2} [/tex]

Rectangle #2 (horizontal)

[tex]a = (13) \times (3)[/tex]

[tex]a = 39 {m}^{2} [/tex]

Add them together:

[tex]39 {m}^{2} + 108 {m}^{2} = 147 {m}^{2} [/tex]

Lisa used 1/4 cups of milk per batch using her muffin recipes. How many cups of Milan will she use when she made 6 batches of muffins?

Answers

Answer:

1 1/2

Step-by-step explanation:

1/4 cups * 6 batches = 1/4 * 6 = 6/4 = 1 2/4 = 1 1/2

[ it's a fraction but i can't write it as such. ]

Solve for M.

m/5 = 4



9


20


-9


-20

Answers

Answer:

the value of m will be 20


What is 321 divided by 49

Answers

Answer:

6.55

(6.55102040816)

Step-by-step explanation:

321 / 49 = 6.55102040816

can be rounded to 6.55 or 6.6

Answer:

6.55

Step-by-step explanation:

A group of 12 students is deciding whether to go to the science center or the zoo. Science center tickets are 3 for $36.75 and zoo tickets are 4 for $51.
How much will a group of 12 students save by choosing the science center?
Enter your answer in the box.

Answers

ANSWER:

$6

ExPLANATION:

Step 1:

36.75 × 4 = 147

Step 2:

51 × 3 = 153

Step 3:

153 - 147 = 6

The group of 12 students will save $6 by visiting the science center instead of the Zoo.

Science center fee :

3 tickets = $36.75

Total cost of visiting Science center = (12/3) × 36.75 = $147

Zoo Fee :

4 tickets = $51

Total cost of visiting Zoo = (12/4) × 51 = $153

The difference in the total amount spent :

Total cost of Zoo - Total cost of Science center

$153 - $147 = $6

Therefore, the group will save $6 by visiting the science center.

Learn more : https://brainly.com/question/18109354

Big help! if you could help me answer this worth 30pts

Answers

Answer:

Recipe 1 will taste different because it is a different proportion compared to recipe 2 and 3

Step-by-step explanation:

Joshua is 5 1/4 weeks younger than Armani. Sara is 11 1/2 weeks older than Joshua. To the nearest week, what is the difference in Armani's age and Sara's age?

Answers

Answer: 6 weeks difference
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