A student in a chemistry lab has access to two acid solution .The first solution is 20% acid and the second is 45% acid .(the percentage are by volume). How many milliliters of each solution the student mix together to obtain 100 ml of a 30% acid solution?

Answers

Answer 1

Answer:

x = 20% acid = 60 ml

y = 45% acid = 40 ml

Step-by-step explanation:

Let

x = 20% acid

y = 45% acid

x + y = 100 (1)

.20x + .45y = .3 ×100

.20x + .45y = 30 (2)

From (1)

x + y = 100 (1)

x = 100 - y

Substitute x = 100 - y into (2)

.20x + .45y = 30

.20(100 - y) + .45y = 30

20 - .20y + .45y = 30

- .20y + .45y = 30 - 20

.25y = 10

y = 10/.25

y = 40 ml

Substitute y = 40 into (1)

x + y = 100

x + 40 = 100

x = 100 - 40

x = 60 ml

x = 20% acid = 60 ml

y = 45% acid = 40 ml


Related Questions

The mean age of the members of a baseball team is 28, the median age is 24, and the ages range from 20 to 45. Which of the following statements is best supported by the data?

Answers

Answer:

half are 28 or older

Step-by-step explanation:

also, im taking a math test i have the same question on my jupiter and the same amount of questions. could u send me the answers to all the questions if thats possible :) thx sm

The required statement by the details is an option (D) that half of the players are 24 or younger.

What is mean?

The mean of the values is the ratio of the total sum of values to the number of values.

Here,
We are given that the mean age of the members of a baseball team is 28 and the median age is 24. We can use this information to eliminate some answer choices.

Option (A) states that more than half of the players are older than 28. Since the median age is 24 and the ages range from 20 to 45, this option is not supported by the data.

Option (B) states that half of the players are 28 or older. Since the median age is 24 and the ages range from 20 to 45, this option is not supported by the data.

Option (C) states that the mode of the data is less than 28. We do not have enough information to determine the mode, so this option could be true or false.

Option (D) states that half of the players are 24 or younger. Since the median age is 24, this option is supported by the data.

Therefore, the best-supported statement by the facts is option (D) that half of the players are 24 or younger.

Learn more about mean here:

https://brainly.com/question/15397049

#SPJ3

What is the volume of corn held in this cone-shaped grain silo? Use 3.14 for π and round to the nearest cubic foot. Enter your answer in the box.

Answers

Answer:

3014 cubit foot

Step-by-step explanation:

Find the diagram attached

Volume of the cone = 1/3πr²h

r is the base radius of the cone

h is the height

Given

r = 6ft

Get the height using the pythagoras theorem

h² = 10² - 6²

h² = 100 - 36

h² = 64

h = √64

h = 8ft

Get the volume

Volume = 1/3πr²h

Volume = 1/3 * 3.14 * 6^2*8

Volume = 3.14 * 12 * 8

Volume =3,014.4

Volume = 3014 cubit foot to the nearest foot

Lisa is baking 3 cakes. Each cake needs 2-thirds cup of water. What is the total amount of water she needs?Answer options with 4 options.2 cups.3 and 2-thirds cupsC.4 and 1-half cupsD.6 cups

Answers

Answer:

6/3

Step-by-step explanation:

Lisa is baking 3 cakes

Each cake required 2/3 water

Therefore the total needed to finish the cake can be calculated as follows

=>2/3 ×2

= 6/3

Hence 6/3 cup of water needed for the cake

I Need Help Only #8

Answers

Answer:

15

Step-by-step explanation:

............. ............. .............

HELP ME PLEASE I'll give brainless.

Answers

∠IJG = ∠FGE (they are corresponding angle)

So, ∠FGE = 50°

Answer:

∠FGE is also 50°

Step-by-step explanation:

they are corresponding angles.

what is the value of 5 in 13,542 plz help

Answers

Answer:

500

Step-by-step explanation:

it is in the hundreths place

Answer:

Step-by-step explanation:

500 because it's in the hundredths place

What number goes in the blank to make this number sentence true?
12x2= (?x2) + (2x2)
10
12
20
24

Answers

Answer:

10

Step-by-step explanation:

12 x 2 = 24

2 x 2 = 4

10 x 2 = 20

20 + 4 = 24

I hope this helps!

A garden center has 150 fruit trees to sell.
1/10 of the trees are lemon trees.
2/5 of the trees are orange trees.
1/3 of the trees are peach trees.
The rest are pear trees.
How many trees are pear trees?

Answers

Step-by-step explanation:

Take pear trees be X

1/10+2/5+1/3+x=150 (Take LCM of 10,5,3=30)

3/30+12/30+10/30+30x/30= 150

25/30+30x/30=150

25+x=150/30

X=5-25=-20 are pear trees

hope it helps

1/10 of 150 is 15. 2/5 is 60. 1/3 is 50. All together that is 125 leaving is with 25 pear trees.

Solve the equation. What is the value of x? x minus 6.8 = 356.3 x =

Answers

X= 363.1 do you need me to show you the work?

Answer:

363.1

Step-by-step explanation:

Apr 17, 1:42:09 AM
Solve the system of equations x +y = 4 and 3x + 7y = 32 by combining the
equations.

Answers

Answer:

(-1, 5)

Step-by-step explanation:

3 [x + y = 4]

  3x + 3y = 12

-  3x + 7y = 32

-4y = -20

y = 5

x + 5 = 4

x = -1

Shanice's school made $850 by selling 125 tickets to the annual talent show. They sold adult
tickets for $10 and student tickets cost $6. How many adult tickets did they sell? How many
student tickets did they sell?
Write a system of equations to represent this situation. Define your variables.

Answers

Let S = student
Let A = adult
First equation is total tickets
Second should be the cost
S + A = 125
6S + 10A = 850
Use substitution or elimination
S + A = 125
S = -A + 125
I used substitution
6(-A + 125) + 10A = 850
-6A + 750 + 10A = 850
4A + 750 = 850
4A = 100, A = 25 adult tickets
125 - 25 = 100

Solution: 100 student tickets

Answer:

25 adult tickets were sold and 100 student tickets were sold.

Step-by-step explanation:

Let the number of adult tickets sold be x and the number of student tickets sold be y.

We know that the total amount collected from the tickets was $850, and that a total of 125 tickets were sold. We can use this information to come up with two equations.

10x + 6y = 850 - Equation 1

x + y = 125 - Equation 2

Then, use the substitution method to solve for either x or y first, followed by the other.

From equation two:

x + y = 125

x = 125 - y - Equation 3

Sub eqn 3 into eqn 1:

10(125-y) + 6y = 850

1250 - 10y + 6y = 850

1250 - 4y = 850

-4y = - 400

y - 100

Sub y = 100 into eqn 2:

x + 100 = 125

x = 25

Check:

10(25) + 6(100) = 850

4. if m<AOB = 45° in circle O, what is m<ABC​

Answers

Answer:

Answer:

m<ACB=22.5° [as inscribed angle is half to the central angle]

Answer:

m<ABC=22.5°

hope it helps

Which is the approximate value of x? 4 9 17 20

Answers

Answer: it’s d. 20 .

Binaya spent 10 of his pocket money. He has Rs 120 left now. Find:
(1) How much money did he spend? (i) How much money did he have?​

Answers

Answer:

$10 and $130

Step-by-step explanation:

If he spent 10 of his pocket money, then he spent 10

Because he spent 10, that means that he had 120 + 10 = 130 at the start

The equations of three lines are given below.

Line 1: 10x+6y=6

Line 2: 5y=3x + 6

Line 3: y= 3/5 x -4

Please help

Answers

Answer:

They are parallel because they hold a same gradient which is 3/5

PLS HELP IT’S PAST DUE!

Answers

Answer:

i believe 95 ft ² but I'm not sure sorry

Answer:

95

Step-by-step explanation:

this seems to be a triangular prism. Hopefull this works?

6*1/3 (5+5+5)=95

A faraway planet is populated by creatures called Jolos. All Jolos are either green or purple and either one-headed or two-headed. Balan, who lives on this planet, does a survey and finds that her colony of 852 contains 170 green, one-headed Jolos; 284 purple, two-headed Jolos; and 430 one-headed Jolos. One-headed Two-headed Total Green 170 Purple 284 Total 430 852 How many green Jolos are there in Balan's colony? O A. 138 B. 308 O C. 422 D. 260​

Answers

Answer:

B. 308

Step-by-step explanation:

Table is given belowFind the missing values.The one we are looking for is total of green = y.

                 |              1 -H        |       2-H          |       Total

Green       |           170            |          x           |       y      

Purple       |            z              |       284          |       w        

Total         |            430          |          v            |      852      

z = 430 - 170 = 260w = 260 + 284 = 544y = 852 - 544 = 308v = 852 - 430 = 422

Correct choice is B

3) What is 3x +15y=-16 in slope intercept form?

Answers

Answer:

y=-1/5x-16/15

Step-by-step explanation:

slope intercept form y=mx+b

3x+15y=-16

15y=-3x-16 divide both sides by 15

y=-3/15x-16/15   simplify -3/15 to -1/5

y=-1/5x-16/15

Gym A charges $60 a month plus $5 per visit. The monthly cost at Gym B is represented by y = 7x + 40, where x is the number of visits per month. What conclusions can you draw about the monthly costs of the gyms? Select all correct answers.

Answers

Answer:

See the explanation

Step-by-step explanation:

Given data

Gym A charges $60 a month plus $5 per visit

let the number of visits be x, and the total charge be y

Hence the total charge is expressed as

y=5x+60--------------1

Gym B is represented by

y = 7x + 40-----------2

Although I can not find any option, we can conclude that gym A monthly charge is $20  more expensive than gym B

Box A has a surface area of 98 in 2. If box B is 4 times the size of box A, what is the surface area of box B?

Answers

Given:

Box A has a surface area of 98 in².

Box B is 4 times the size of box A.

To find:

The surface area of box B.

Solution:

Let "a" be the side of box A , then "4a" be the side of box B because box B is 4 times the size of box A.

We know that the areas of similar figures are proportional to the square of their corresponding sides.

[tex]\dfrac{\text{Area of box A}}{\text{Area of box B}}=\dfrac{(\text{Side of box A})^2}{(\text{Side of box B})^2}[/tex]

[tex]\dfrac{98}{A_B}=\dfrac{(a)^2}{(4a)^2}[/tex]

[tex]\dfrac{98}{A_B}=\dfrac{(a)^2}{16a^2}[/tex]

[tex]\dfrac{98}{A_B}=\dfrac{1}{16}[/tex]

Using cross multiplication, we get

[tex]98\times 16=1\times A_B[/tex]

[tex]1568=A_B[/tex]

Therefore, the surface area of box B is 1568 in².

Eight friends started a business. They will wear either a baseball cap or a shirt imprinted with their logo while working. They want to spend exactly $36 on the shirts and caps. Shirts cost $6 each and caps cost $3 each.​

Answers

6 time 2 times 3 times 2

Consider the equation r + 2 = 3x – 4.
a. Solve the equation using algebra.
X=

Answers

Answer:

r/6 +2 = X

Step-by-step explanation:

We want to isolate X by itself to find its value. First transpose your -4 to the other side (note that -4 will become positive)

r + 2 +4 = 3x

r + 6 = 3x

To find the X, we get rid of the 3, so divide both sides by 3

r/3 + 6/3 = x

r/3 + 2 = x

OR

(r+6)/3 = x

Both works : )

Answer:

Step-by-step explanation:

We want to solve r + 2 = 3x – 4 for x.

This means isolating x on one side.  To do this, first add 4 to both sides, obtaining r + 2 + 4 =3x, or:

r + 6 = 3x

Finally, divide both sides by 3:

        r + 6

x = -------------

            3

Please help!!!!!
Can someone please help me with this question.
The answer choices are in the picture right along with the question.
I will mark the first person brainliest if they answer with an actual answer not a link.

Answers

Answer:

The best answer is A.

Step-by-step explanation:

5a-7=2a can someone also explain

Answers

Answer:7/3 or 2.333 for short.

Step 1 add both sides with seven, Step 2 simplify by adding the numbers,  

step 3 Subtract  2a from both sides of the equation,step 4 Combine like terms, step 5 Divide both sides of the equation by the same term,Step 6 Cancel terms that are in both the numerator and denominator.

Select the correct answer from the drop-down me
The length of a rectangle is (3x - 5) inches, and its width is 2x inches. Find the a
Hint: Area of a rectangle = length x width.
The area of the rectangle is
square inches.
Reset

Answers

Answer:

A = 6x² - 10x

Step-by-step explanation:

A = lw

Given:

l = 3x - 5

w = 2x

Work:

A = lw

A = (3x - 5)(2x)

A = 6x² - 10x

Geometry help please. Thank you!

Answers

It’s 4 because we find the bigger side on PQR and the same side on the smaller triangle. So PR=VW. This is the same as 4/1

Ryan has 4 cups of grape juice, and Kelsey has 7 cups of lemonade. They want to combine what they have to make punch. How many 12-cup servings of punch can they make?

Answers

Answer:

8

Step-by-step explanation:

Actually since there is only 4 cups of grape juice and 7 cups of lemonade you could only make 4 cups of punch. So your answer would be 8 because 4x2=8

A board is 22.5 inches long. How long is the board in centimeters?

Answers

Answer:

57.15 cm

Step-by-step explanation:

FORMULA  

multiply the value by 2.54

Hope this helps! have a great day :)

Answer:

57.15 cm

Step-by-step explanation:

Use the appropriate conversion factor:

22.5 in     2.54 cm

----------- * -------------- = 57.15 cm

      1            1 in

The product of 6x5/3 will be (less than, greater than, equal to) 6 because the fraction 5/3 is (less than, greater than, equal to) 1

Answers

Answer:

The product of 6x5/3 will be greater than 6 because the fraction 5/3 is greater than 1.

Step-by-step explanation:

Note: If any fraction which the numerator and denominator have the same number , for example 6/6 it will equal to 1. If the numerator overpasses the denominator, it will be more than 1.

Simplify the expression to a + bi form:
(-8 – 9i)2

Answers

Answer:

-17+144i

Step-by-step explanation:

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