Theodore needs to mix a 30% alcohol solution with a 50% alcohol solution to create 100 milliliters of a 32% solution. How many milliliters of each solution must Theodore use

Answers

Answer 1

Answer:

50 % alcohol solution = 10 millimetres

30 % alcohol solution = 90 millimetres

Step-by-step explanation:

two equations can be derived from this question

x + y = 100 equation 1

0.3x + 0.5y = 100 x 0.32 = 32

0.3x + 0.5y = 32 equation 2

where :

x = 30% alcohol solution

y = 50% alcohol solution

multiply equation 1 by 0.3

0.3x + 0.3y = 30 equation 3

subtract equation 3 from 2

0.2y = 2

y = 10

substitute for y in equation 1

x + 10 = 100

x = 100 - 10

x = 90


Related Questions

solve 3x by 4 - 2x+5 by 3 = 5 by 2​

Answers

Answer:

50

Step-by-step explanation:

The given equation is,

→ 3x/4 - (2x + 5)/3 = 5/2

→ 3x × 3 - 4(2x +5)/12 = 5/2

→ 9x - 8x -20/12 = 5/2

→ (x - 20)/12 = 5/2

→ x - 20 / 6 = 5

→ x - 20 = 30

→ x = 20 + 30

x = 50

Hence the value of x is 50 .

Answer:

x=50

Step-by-step explanation:

In order to select new board members, the French club held an election. 30% of the 20 members of the club voted. How many members voted?

Answers

Answer:

6

Step-by-step explanation:

30%*20 = 6

Ferris wheel diameter was 250 feet. Calculate it’s radius. If 40 steel rods were joined at the centre find the total steel required?

Answers

Answer:

785.5ft

Step-by-step explanation:

Given data

Diameter= 250ft

Radius= D/2= 250/2= 125ft

The total steel required can be found from the Circumference

C= 2πr

C= 2*3.142*125

C= 785.5ft

Hence the total steel required is 785.5ft    

Which of the following can cause market failure?
too much mobility
too much competition
not enough information
too much information

Answers

Answer: C

Step-by-step explanation: not enough information

6c + 7c + 5y + 2c + 7y
Thank u ahead of time:)

Answers

Answer:

15c+12y

Step-by-step explanation:

6c + 7c + 5y + 2c + 7y

13c+2c +12y

15c+12y

have a great day!

There is a photo. No explanation needed just answer thank you

Answers

It’s 125 because 5 over 3 is 5 (3) times so 5x5x5= 125 hoped this helped.

Can someone help me out my grads are bad

Answers

Answer:

5/10 + 1/10 = 6/10 or if you simplify it 3/5

Step-by-step explanation:

1/2 = 5/10

1/10 = 1/10

5/10 + 1/10 = 6/10

6/10 = 3/5

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

1/2 + 1/10 = 5/10+ 1/10 = 3/5

Step-by-step explanation:

Find the LCD of 2 and 10 (10)

Add the two together (6/10)

Reduce (3/5)

Have a good day :)

find the sum of the numbers if their sum is -11 and their difference is 41

Answers

Answer:

-52

Step-by-step explanation:

-11 -14 are same sign is equal to plus ,,so that is answer -52 ...

Answer:

- 11 - 41

-52 is the right answer....

Keisha buys 2/3 dozen bagels for $4.80.

Answers

Answer:

Im sorry but your going to have to provide more information for me to answer my G!

Step-by-step explanation:

what’s the rest of it?

A random sample of internet subscribers from the west coast of the United States was asked if they were
satisfied with their internet speeds. A separate random sample of adults from the east coast was asked the same
question. Here are the results:


A market researcher wants to perform a x2 test of homogeneity on these results.
What is the expected count for the cell corresponding to east coast subscibers who
responded "yes"?
You may round your answer to the nearest hundredth.

Answers

Answer:

19.2

Step-by-step explanation:

khan

The expected count for the cell corresponding to east coast subscribers who responded "yes" is 19.2.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

We need to first calculate the expected frequencies for each cell under the assumption that the null hypothesis of homogeneity is true.

The null hypothesis of homogeneity assumes that the proportion of internet subscribers satisfied with their internet speeds is the same on both the east and west coasts of the United States.

To calculate the expected frequencies, we can use the formula:

Expected frequency = (row total x column total) / grand total

For the cell corresponding to east coast subscribers who responded "yes":

Expected frequency = (row total for east coast x column total for "yes") / grand total

= (80 x 48) / 200

= 19.2

Therefore, the expected count for the cell corresponding to east coast subscribers who responded "yes" is 19.2.

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ2

Help me please help, me help me help me help me help me help me help me help me

Answers

A- x=A

B- x=27

C- x=3

D- x=4

E- x=17

ANSWER- A and C

Hope this Helped! :T

help please help help help

Answers

Answer:

area = 32

perimeter = 30

Step-by-step explanation:

Formulas:

Area of a parallelogram: A = bh

Perimeter of a parallelogram: P = 2 ( b + s )

Where h = height s = slant height and b = base length

Define:

b = 8

h = 4

s = 7

Plug in given values into formulas and calculate

A = (8)(4)

8 * 4 = 32

A = 32

P = 2 ( 8 + 7 )

8 + 7 = 15

2(15) = 30

P = 30

Let’s figure out one more adjustment for the butterscotch chip cookies. The butterscotch chip cookie recipe calls for 12 ounces of chips for every 2 cups of flour. How many ounces of chips are needed if 3 cups of flour are added?


Remember to keep your units consistent.

Answers

I believe it would 18 ounces of chips for 3 cups of flour. If you take half of 12 ounces then you get 6 ounces per cup of flour. Adding 6 ounces to the 12 would get us the total of the 18 ounces.

-y = 7x+5 written in standard form

Answers

Answer:

7x+y=-5

Step-by-step explanation:

-y=7x+5

7x+y=-5

The answer is must be y =_7x-5

Hey guys I need help please show your work worth 20 points

-8x-14>2
-

Answers

Answer:

x > - 2

Step-by-step explanation:

- 8x - 14 > 2

- 8x - 14 + 14 > 2 + 14

- 8x > 16

- 8x ÷ - 8 > 16 ÷ - 8

x > - 2

could someone just edit this and show me what u got by attaching a picture pls????? I NEED HELP IMMEDIATELY!!!! PLS HELPP. PLS DO NOT GUESS EITHER BUT PLS CMON AND HELP ME PLSSS

Answers

Answer: answers down below in the picture

lol i tried my best placing the dots and labeling .. sorry.. if you don't understand pls let me know

Photo Attached :)

I hope I did it correctly, just a little tedious.

the diameter is a circle is 16in. Find it’s circumference in terms of π.

C= ________in

Answers

S O L U T I O N :

According to the question,

Diameter of circle = 16 in

We are asked to calculate it’s circumference in terms of π.

Circumference of circle = 2πr

___________________________________

Let us first calculate the radius of the circle.

→ Diameter = 2 × Radius

→ 16 in = 2r

→ r = 16 in ÷ 2

→ r = 8 in

___________________________________

Substituting values in the formula of circumference,

→ C = 2πr

→ C = (2 × π × 8) in

C = 16π in

Therefore, 16π inches is the required answer.

There is just enough water in the container to exactly fill the

hemisphere. The container is held so that the point of the cone

is down and the altitude of the cone is exactly vertical. Find the

height of the water in the cone. Round to the nearest tenth.

Answers

Answer: hello your question is Vague hence I will provide a general solution. in which you can input your values into  and get your answer.

answer = h  = 3 ( V / π r^2 )  

Step-by-step explanation:

The volume of a cone is exactly the volume of a hemisphere, given that the radius and height are the same .

The height of the water in the cone = height of the hemisphere / height of cone ( given that the water completely fills the hemisphere )

∴ h  = 3 ( V / π r^2 )

plz solve this question mhanifa

Answers

Answer:

Option B

Step-by-step explanation:

Given:

4 - 3i

Conjugate of the given number is:

4 + 3i

Divide the given number by its conjugate:

(4 - 3i) / (4 + 3i) = (4 - 3i)(4 - 3i) / (4 + 3i)(4 - 3i) =(16 + 9i² - 24i) / (16 - 9i²) = (16 - 9 - 24i) / (16 + 9) = (7 - 24i) / 25 = 7/25 - 24i/25

Correct choice is B

The circumference of a circle is 100.48 feet. What is the circle's diameter?

Answers

Answer:

631.334460 ft

Step-by-step explanation:

i think

Answer:

32 feet

Step-by-step explanation:

Since we know that the formula for finding circumference is C = π · d, and π is equal to 3.14, we reverse the formula so it fits what information we have.

We know that C = 100.48 and we also know that π = 3.14 so all we have to find is the diameter.

To do this, you divide 100.48 by 3.14 to get 32 feet as your final answer.

PLEASE HELP ASAP!!
What is the vertex of the graph and is the vertex a maximum or minimum?

А. (1, 3); maximum

B. (-1,-1); minimum

C. (3, 1); maximum

D. (0, 2); minimum

Answers

(A)

Step-by-step explanation:

The vertex is located at (1, 3) and it's a maximum.

Savannah has a package of 20 candies with an equal number of candies colored white, blue, orange, purple, and yellow. If Savannah selected a yellow candy the first time, what is the
probability that she will randomly select, without replacement, another yellow candy?
A 3/19
B 1/5
C 4/19
D 1/4

Answers

Answer:

A 3/19

Step-by-step explanation:

There are 4 candies of each color. If you take out one yellow, you not only have three yellows; you have 19 candies. 3/19 is the answer.

Answer:

3/19

Step-by-step explanation:

There is an equal number of colored candies, in which there are 20 candies in all, and 5 colors:

20/5 = 4

Each color has 4 candies.

Savannah was able to obtain a yellow candy, and she does not replace it:

4/20 removing one yellow candy = 3/19

A) 3/19 is her chance of getting another yellow.

please help! 20 points for answering. if you guess or just write something to just get points i will make sure your account gets banned. thank you!

Answers

It's the one with the greater than or less than sign (the second option) because Logan wants to make money greater than or less than $1000

Place an X in the table to match the diameter of each circle with its approximate area.
Use 3.14 for 11.
7
314 m?
706.5 m?
1,256 m
2,122.64 m2
30 m
40 m
52 m

Answers

Answer:

bjbjy

Step-by-step explanation:

The formula for the area of a triangle is 1A bh2=, where b is the length of the base and his the height. Rearrange the formula to isolate h

Answers

Answer:

h = 2A/b

Step-by-step explanation:

Area of a triangle, A = 1/2bh

Where,

b = base of the triangle

h = height of the triangle

Rearrange the formula to isolate h

A = 1/2bh

Multiply both sides by 2

2 * A = 2 * 1/2bh

2A = bh

Divide both sides by b

2A / b = bh / b

2A / b = h

Therefore,

h = 2A/b

One of the base angles in an isosceles triangle is 75 degrees, then its exterior angle is
A. 105 degrees
B.75 degrees
C. 285 degrees
D, 30 degrees

Answers

Answer:

105 degrees

Step-by-step explanation:

Supplementary angles add up to 180 degrees.

You just gotta subtract your given (in your case 75) from 180 to get your answer my guy

Answer: 105

Triangle sum theorem 180-75=105

The order of numbers is not important in ____________ of rational numbers.​

Answers

Answer:

addition?

Step-by-step explanation:

Two functions are shown. f(x) = 3x+1 g(x) =-3/2X-7 What is the value of x when f(x) = g(x)

Answers

Answer:

-1.778

Step-by-step explanation:

The two lines cross at the point (-1.778,-4.333), but the x value is -1.778

Hope this helps

Closest to the shaded area

Answers

Answer:

B) 30.9

Step-by-step explanation:

So, because the radius is 6, we know the diameter is 12, meaning we know each side is 12, so the total area of the square is 144.

To find the area of a square we should use pi(r) ^2 which is pi(6) ^2 which is 113.09. to find the area of the shaded are we would subtract these. 144- 113.09 this gets us 30.91, this is closest to B) 30.9

I need some help finding the volume of a sphere with a diameter of 18.6cm. The website says the answer I got from my calculator was wrong! Help would be greatly appreciated!

Answers

Answer:

V = 3,367.6 cm³

Step-by-step explanation:

Diameter of sphere (D) = 18.6 cm

radius (r) = ½(18.6) = 9.3

π = 3.14

Formula for volume of a sphere = ⁴/3πr³

Plug in the values

V = ⁴/3 × 3.14 × 9.3³

V = ⁴/3 × 3.14 × 804.357

V = (4*3.14*804.357)/3

V = 3,367.57463

V = 3,367.6 cm³ (nearest tenth)

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