Two solutions of different concentrations of acid are mixed creating 40 mL of a solution that is 32% acid. One-quarter of the solution is made up of a 20% acid solution. The remaining three-quarters is made up of a solution of unknown concentration, c.

Which equation can be used to determine c, the unknown concentration?

30c + 10(0.2) = 40(0.32)
StartFraction 3 Over 4 EndFraction left-parenthesis c right parenthesis plus left-parenthesis StartFraction 1 Over 4 EndFraction left-parenthesis 0.2 right-parenthesis right-parenthesis equals 40 times 0.32.(c) + StartFraction 1 Over 4 EndFraction cup.(0.2) = 40(0.32)
(c)( (0.2)) = 40(0.32)
30(c)(10(0.2)) = 40(0.32)

Answers

Answer 1

Answer:

Solution 1 : 10mL with 20% acid

Solution 2 : 30mL with x% acid

Solution 3 : 40mL with 32% acid

Step-by-step explanation:

Since solution 1 + solution 2 = solution 3, let us substitute the given values we have:

10(0.2) + 30(x) = 40(0.32)

2 + 30x = 12.8

To solve for the unknown concentration x, we subtract 2 from both sides:

2 + 30x - 2 = 12.8 - 2

30x = 10.8

Dividing both sides by 30:

30x/30 = 10.8/30

x = 0.36

Therefore the unknown solution is 36% acid.

Answer 2

Answer:

The first option (30c + 10(0.2) = 40(0.32)


Related Questions

What is the probability that someone doesn’t eat breakfast?

Answers

1/2

hope it helps..!!!!!

Question 4(Multiple Choice Worth 3 points)
(04.04 MC)
Which is the equation of a parabola with a directrix at y = -3 and a focus at (5, 3)?
a
a
a
HELPPOO

Answers

Answer:

B

Step-by-step explanation:

What is the distance between points A and B on the coordinate plane?
a ) 12
b) 10
c) 14.5
d) 100

Answers

Answer:

Step-by-step explanation:

use pythagorean theorem a^2 + b^2 = c^2

a = 6, b = 8

6^2 + 8^2 = c^2

100 = c^2

c = -10

since it cant really be negative, the distance becomes 10.

The distance between points A and B is 10

Katie has these 2 boxes shaped likerectangular prísms. How do the volumes of the two bones compare?
A. Box 2 and Box 1 have the same volume.
B. Box 2 has 3 times the volume of Box1
C. Box2 has 9 times the volume of Box 1.
cm
D. Box 2 has 27 times the volume of Box1.
2 cm
1.5 cm
1.5cm
25
25 am
Box1
Box 2

Answers

Answer:

Box 2 has 3 times the volume of Box 1....

The main sail of a sailboat has the dimensions shown in the figure at the right. What is the height of the main sail?

Answers

Answer:

[tex]h = 16.1[/tex]

Step-by-step explanation:

[tex]sin A /a = sin B / b = sin C/c[/tex]   where A is angle and a is side opposite of angle

[tex]sin (49) / h = sin(41)/ 14[/tex]       cross-multiply

[tex]h*sin(41) = 14 * sin(49)[/tex]

[tex]h = (14*sin(49))/ sin(41)[/tex]

[tex]h = 16.1[/tex]

Laurie throws a tennis ball toward her dog from a height of 4.5 ft. The initial vertical velocity of the ball is 18 ft/s. At the same time as Laurie throws the ball, her dog jumps with an initial vertical velocity of 21 ft/s. When the dog jumps, its mouth is 1.5 ft above the ground.

Projectile motion formula:

h = -16t2 + vt + h0

t = time, in seconds, since the ball was thrown

h = height, in feet, above the ground

Which system models the height of the tennis ball and the height of the dog's mouth over time?

h = 4.5t + 18 and h = -16t2 + 1.5t + 21

h = 18t + 4.5 and h =-16t2 + 21t + 1.5

h = -16t2 + 4.5t + 18 and h = -16t2 + 1.5t + 14

h = -16t2 + 18t + 4.5 and h = -16t2 + 21t + 1.5

Answers

Using quadratic function concepts, it is found that the system that models the height of the tennis ball and the height of the dog's mouth over time is given by:

h(t) = -16t² + 18t + 4.5 and h(t) = -16t² + 21t + 1.5.

What is the quadratic function for the height of a projectile?

It is given by:

h(t) = -16t² + v(0)t + h(0)

In which:

v(0) is the initial velocity.h(0) is the initial height.

For the tennis ball, we have that v(0) = 18, h(0) = 4.5, hence the equation is:

h(t) = -16t² + 18t + 4.5.

For the dog jump, we have that v(0) = 21, h(0) = 1.5, hence:

h(t) = -16t² + 21t + 1.5.

Hence, the system is given by:

h(t) = -16t² + 18t + 4.5 and h(t) = -16t² + 21t + 1.5.

More can be learned about quadratic function concepts at https://brainly.com/question/24737967

Answer:

D) h = -16t2 + 18t + 4.5 and h = -16t2 + 21t + 1.5

Step-by-step explanation:

The next answer is, "the time at which the ball and the dog's mouth are at the same height"

NO LINKS!!

The Odd Man Out
For each set of figures below, three are similar (meaning that they are related through a sequence through a sequence of transformations including dilations), and one is an exception. Find the exception in each set of figures and answer the questions. PART 1​

Answers

Answer:

Step-by-step explanation:

Write an eqaution in slope-intercwpt form for the line with slope -5 and y-intercept 9

Answers

Answer:

y = -5x + 9

Step-by-step explanation:

Slope-intercept form of an equation is:

y = mx + b

Since they gave you the slope and y-intercept, it is kind of a fill-in-the-blank problem. Nothing to calculate!

Fill in the slope for the m. Fill in the y-intercept for the b.

y = -5x + 9

Which of the following best describes a circle?
A. The set of all points in a plane at a given distance from a given
point
O B. The set of all points in a plane that are equidistant from two points
C. The set of all points in a plane that are equidistant from a given
point and a given line
D. The set of all points smaller than or equal to a given distance from
a given point

Answers

The answer is a. i hope this helps

I will give Brainliest!!! :D

Match each situation to an equation.

(You can just write the color of the equation card and the fraction in the situation, ex. Green card to 2/5) :)

Answers

Answer:

Going left to right:

2/5

1/5

1/4

13/10

Step-by-step explanation:

Camilo uses 32 ounces of filling to make empanadas de quest. He puts 0 empanadas on each of the 3 trays. write a fraction to show how many ounces of filling Camilo uses in each empanadas​

Answers

⚠ANSWER⚠

The fraction that shows the number of ounces of filling camilo uses in each empanadas is,

↪32 ounces

...hope this helps...

_♡_mashi_♡_

[tex] \bold{ \underline{SOLUTION }}[/tex]

Required Answer

32

Camilo uses ounce = 32

he put emandas = 0

each tray = 3

find how many ounce of filling camilo uses in each empandas

[tex] \bold {\underline{ \underline{Let's Begin -: }}}[/tex]

0 × 3 = 0

{and any number is cant divided by zero.}

Thus ,,

32 empanadas fill on each ounce

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

what is approximate distance between (-1, 3) and (2, -4)

Answers

Answer:

d= 7.62

Step-by-step explanation:

(-1,3)(2,-4)

the formula of distance is-

[tex]d=\sqrt{((x_{2}-x_{1})^2 + (y_{2}-y_{1})^2)} \\\\d=\sqrt{(2+1)^2+(-4-3)^2}\\ d=7.62[/tex]

Predicted distance traveled in 10 minutes: 3 km
(b) Lena is deciding how many people to take to the movies. The table below
shows the cost for different sized groups of people.
Number in group
4
8
9
Cost (in dollars)
36
64
72
O The cost for each person is not always the same.
O The cost for each person appears to be the same.
Predicted number in group for a cost of $80:
Explanation
Check

Answers

Answer:

Cost for person is not always the same

For 80 dollars predicted would be 10 people

Step-by-step explanation:

4 people 36 dollars = 9 each

8 people 64 dollars = 8 each  

9 people 72 dollars = 8 each       seems to flatten at 8 dollars each

25 Points! Please tell me how to answer this.

Answers

Answer: ....

Ok done. Thank to me :>

A bag contains 15 beads that are either red or yellow.
The probability of randomly removing a red bead is 20%.
What is the probability of randomly removing a yellow bead?

Answers

The probability of randomly removing a yellow bead is 0.8 or 80% if the bag contains 15 beads that are either red or yellow the probability of randomly removing a red bead is 20%.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

We have the probability P(R) of randomly removing a red bead is 20%.

Let's suppose the number of red beads is n(R)

[tex]\rm P(R) = 20\% \Rightarrow 0.20\\\\\rm \frac{n(R)}{15} = 0.20[/tex]

n(R) = 15×0.20

n(R) = 3

Number of yellow beads = 15 -3 = 12

The probability randomly removing a yellow bead:

[tex]=\rm \frac{12}{15}[/tex]

= 0.8 or 80%

Thus, the probability of randomly removing a yellow bead is 0.8 or 80% if the bag contains 15 beads that are either red or yellow the probability of randomly removing a red bead is 20%.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

Why is it wrong to draw y=ln(2x-5) this way?

Answers

well because he did not do it

Notice how

2x-5 = 2x - 2*2.5 = 2(x-2.5)

This means we can replace x with x-2.5 in the second step, in the "wrong way" column.

So,

y = ln(2x)

y = ln( 2(x-2.5) )

y = ln( 2x - 2*2.5 )

y = ln( 2x - 5 )

In the second step, the x-2.5 tells the reader to shift the curve 2.5 units to the right. Therefore, the 1/2 = 0.5 would shift to 0.5+2.5 = 3 as indicated by the correct graph.

Find the area of an equilateral triangle with a side length of 14.

Answers

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

Given - An equilateral triangle with side 14 cm To find - Area of that equilateral triangle

Solution -

[tex]Area\: of \:equilateral \:triangle\: = \: \frac{ \sqrt{3} }{4} a {}^{2} \\ \\ \implies \frac{ \sqrt{3}}{4} \times 14^{2} \\ \\ \implies \: \frac{ \sqrt{3} }{\cancel4} \times \cancel{196} \\ \\ \implies \: \sqrt{3} \times 49 \\ \\ \implies \: \bold\blue{49 \sqrt{3} \:units {}^{2}} [/tex]

Further ,

value of [tex]\bold\orange{\sqrt{3} = 1.732}[/tex]

therefore ,

[tex]Area = 49 \times 1.732 \\ \\ \implies \: \bold\red{84.69 \: units {}^{2} \: (approx.)}[/tex]

hope helpful :D

Help me please permutations and computations?

Answers

Answer:

i think it's 14c5 sincce theres 5 colors to choose from .

Elizabeth bought a cheese pizza. It was served on a metal tray with a diameter of 22 centimeters. What is the tray's area?

Answers

Answer:

The Area of the tray ≈380 cm

Solution:We are given the diameter of the tray, which is equivalent to 22 cm.We are asked to find the area of the tray.Remember the formula:Area of a circle = πr²Whereπ -> pi (3.14...)r -> radiusNotice that we aren't given the radius. We're given the diameter only.No reason to panic. We can easily find the radius by dividing the diameter by 2.The radius is equal to 11 cm.Now, plug the values into the formula:A=π(11)²A=121πA≈380 cm

Hope it helps.

Do comment if you have any query.

a department store has a jacket on sale for 114 which is 60% of the original price what is the difference between the original price and sale price

Answers

Answer:

$76

Step-by-step explanation:

Let the original price be ‘P’114 = 0.6PDivide both sides by 0.6190 = PTo find difference, subtract sale price from original price190 - 114 = $76

Paul has a car that is 8 years old and has 126,000 miles on it. Even though he couldn't get more than $2,000 if he sold it, he still pays $350 per year for collision insurance to pay him up to the value of his car if it were damaged. If Paul decides to drop his collision insurance coverage, how is he handling that risk? A. Reducing it B. Transferring it C. Assuming it D. Avoiding it

Answers

Answer:

Assuming

Step-by-step explanation:

If he has a wreck he will ASSUME the risk....his loss

What is the ratio of the radius to the circumference of any circle, using 3.14 for pi?

Answers

Answer:

1 : 6.28

Step-by-step explanation:

The circumference formula is

C = 2πr orC = 2(3.14)r = 6.28r

The ratio of the radius to the circumference is

r/C = 1/6.28

or

r : C = 1 : 6.28

r : C = 1 : 6.28

Formula's:

circumference of any circle: 2πr

radius: r

Their ratio:

radius : circumference

r : 2πr

r : 2(3.14)r

1 : 6.28

During this year, the budget has increased by 3 %. This increased budget is $ 16,068 . How much was the budget in the past, before the increase?

Answers

Answer:

Step-by-step explanation:

The school cafeteria has 16 round tables that each fit-8 students and..
12 rectangular tables that each fit 12 students. How many students can
fit in the cafeteria at once?
A 128
- B 256
C 144
D 272

Answers

Answer:

The answer is D. 272

Step-by-step explanation:

All you need to do is find out how many people can be seated at each table, then add them together.

16 x 8 = 128

12 x 12 = 144

128 + 144 = 272

272 students can fit in the cafeteria at once.

Find the slope of the line passing through the points , 2−6 and , −9−6

Answers

I will assume that we are trying to find the slope between (2,-6) and (-9,-6)

The slope's equation ⇒  [tex]\frac{y2-y1}{x2-x1}[/tex]

Let's set the variables:

    (x1, y1) --> (2, -6)

    (x2, y2) --> (-9, -6)

Now let's plug them in:

 [tex]Slope = \frac{-6--6}{-9-2} =\frac{0}{-11} =0[/tex]

Thus the slope of the line is 0.

Hope that helps!

Select the expression that is equivalent to
(m2-16)

A. (m-4)2
B. (m+4)(m-4)
C. (m2-8m+16)
D. (m2+8m+16)

Answers

Answer:

if it's m^2-16, than it's B, (m+4)(m-4)

Step-by-step explanation:

remember (a+b)(a-b)=a^2-b^2, or m^2-4^2=m^2-16

What is 4,321,109,432 rounded to the nearest billion?

Answers

Answer:

I think 4000000000

Answer: 4,321,109,432 rounded to the nearest billion is 4,000,000,000

Step-by-step explanation:

First, you find the billions place which is right here:

4,321,109,432

Look to the number to the right of it. Is it greater or less than 5? Since it's less, you round down to 0, leaving a 4 and 3 sets of 3 zeroes.



What is x in this equation?

Answers

Answer:

x = 6.08 units

Step-by-step explanation:

For a right triangle

sin = opp leg / hyp

for this triangle    sin 34 =  3.4 / x    re-arrange to

                         x = 3.4 / sin34   = 3.4 / .5591 = 6.08

NEED HELP ASAP!!!!
A) 12 sq. cm.
B) 6 sq. cm.
C) 12 cm
D) 6 cm

Answers

Answer:

its B- 6 sq. cm.

Step-by-step explanation:

1/2 times base times height

1/2 x 4 x 3

6

Answer:

The answer is given below

Step-by-step explanation:

[tex]area = \frac{1}{2} \times base \times perpendicular[/tex]

[tex]area = \frac{1}{2} \times 3 \times 4[/tex]

Area = 1/2 * 12

Area = 6

is planetarium showing programs about the night sky has a shape of a hemisphere. The diameter of the planetarium is 50 ft what is the volume to the nearest cubic foot of the planetarium use 3.14 for pi ​

Answers

Answer:

32,708.3 cu. ft

Step-by-step explanation:

First we find the volume of a sphere with the same dimensions

is the formula for the volume of a sphere

substitute the radius with 25 because radius is half the diameter and use 3.14 for pie. The answer to that formula is 65,416.6

Since you're finding the volume of a hemisphere, divide the volume of the sphere in half

65,416.6/2= 32,708.3

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