A chemist is adding pure (100%) acid to a 12 liter solution that is 15% acid in order to increase it to 49% acid. How much pure acid must she add?

How many ounces of 35% ethanol must be added to a 23 ounce mixture that contains 26% ethanol in order to obtain a mixture of 30.86% ethanol?

How many liters of 30% acid must be added to 10 liters of 53.66% acid in order to obtain a mixture that is 43% acid?

Answers

Answer 1

Answer:

1) 8 liters of pure acid

2) 27 liters of 35% ethanol

3) 8.2 liters of 30% acid

Step-by-step explanation:

The inicial amount of acid is 15% of 12 L, and the inicial volume is 12L.

Adding 'x' L of 100% acid, we have the amount of acid equal to 12 * 0.15 + x * 1, and the volume of 12 + x. The concentration is the amount of acid over the volume, so we have that:

(12*0.15 + x) / (12 + x) = 49/100

(1.8 + x)*100 = (12 + x) * 49

180 + 100x = 588 + 49x

51x = 408

x = 8 liters of pure acid

Similar to the solution above, for the second question we have:

(23*0.26 + 0.35*x) / (23 + x) = 30.86/100

(5.98 + 0.35*x)*100 = (23 + x) * 30.86

598 + 35x = 709.78 + 30.86x

4.14x = 111.78

x = 27 liters of 35% ethanol

For the third question, we have:

(10*0.5366 + 0.3*x) / (10 + x) = 43/100

(5.366 + 0.3x)*100 = (10 + x)*43

536.6 + 30x = 430 + 43x

13x = 106.6

x = 8.2 liters of 30% acid


Related Questions

Is anyone good at this? Can you answer some of the questions I cant figure out?

Answers

Answer:

sure, what questions?

Step-by-step explanation:

Answer:

Sure what are the question

Step-by-step explanation:

15 pts!!! will mark BRAINLIEST Sharon found a couch for $1,770.00. The sales person said it was on sale for 25% off. How much did Sharon pay for the couch if she also had to pay 6% sales tax on the total?

Answers

Answer:

$1407.15

Step-by-step explanation:

$1,770.00*0.25= $442.5

$1.770-$442.50 = $1327.5

$1327.5*0.06 = $79.65

$1327.50+$79.65 = $1407.15

Will Give Brainilest If Correct:

True or False:
0 is neither positive or negative.

Answers

Answer:

true

Step-by-step explanation:

0 is one of the many things in life that make no sense.

// have a great day //

Answer:

True

Step-by-step explanation:

0 is like the barrier between positive and negative numbers.

So the answer is true.

15. Select the graph which correctly displays the function f(x) = |x + 2|– 3.

Answers

Answer:

Step-by-step explanation:

f(0)=2-3=-1 so the point (0,-1) must be on the graph

f(-5)=|-5+2|-3=3-3=0 so the point (-5,0) must be on the graph

Then, the correct answer is the second graph

The graph that correctly displays the function f(x) = |x + 2|– 3 is the second graph.

How do we graph a function?

We graph a function by calculating some values of f(x), plotting the points calculated as (x, f(x)), recognizing the trend, and completing the graph.

How do we solve the given question?

To solve the given question, we will plot a graph of the function

f(x) = |x + 2|– 3 and then compare the graphs with it.

Our function f(x) = |x + 2|– 3 can be written as the combination of two functions g(x) = |x+2| and h(x) = -3

Since g(x) is a modulus function, it will be V-shaped. To recognize its start point and the trend, first we calculate x, when g(x) = 0

or, |x+2| = 0

or, x + 2 = 0

or, x = -2.

We find two more points, g(-1) and g(-3) to find if the V is upright or inverted.

g(-1) = |-1+2| = 1

g(-3) = |-3+2| = 1

Since g(-1) and g(-3) are greater than g(-2), g(x) = |x+2| is an upright V-shaped function starting from the point (-2,0)

h(x) = -3, is a straight line parallel to the x-axis, passing through the point -3 on the y-axis.

∴ f(x) = g(x) + h(x) = |x+2|-3 will move the graph of g(x) 3 points down.

The graph of f(x) will then be a V-Shaped upright curve, with the start point (-2, -3) and going up.

Our graph has been attached. The graph matching our graph is the 2nd one, so that is the right option.

Learn more about plotting graphs at

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I need help on my algebra. :)

Answers

Answer:

Option B

Step-by-step explanation:

Consider the steps below;

[tex]3x - 4y = 25,\\3x + 2y = 1\\\\3x - 4y = 25,\\+ ( - 3x - 2y = - 1 )\\\\- 6y = 24,\\y = - 4\\\\3x - 4y = 25,\\3x - 4 * ( - 4 ) = 25,\\3x + 16 = 25,\\3x = 9,\\x = 3\\\\Solution, x = 3, y = - 4[/tex]

To solve this system of equations, I applied process of elimination, which I thought was most convenient. Multiplying the bottom equation by - 1, I added both equations to cancel out the x's and solved for the value of y. Substituting this value of y into the top equation, I solved for the value of x;

Solution ⇒ Option B

The solution is option B

Alaine has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 inches wide, 12 inches long, and 5 cm deep.
(1 gallon = 231 in 1 inch = 2.54 cm)
Which of the following scenarios will happen?
The paint will not fill the tray by 369 cm
The paint will not fill the tray by 5.22 in?
The paint will fill the tray exactly
The paint will overfill the tray by 5 22 in?

Answers

Answer:

Aliane is bruh......................

Step-by-step explanation:

The value of cos X is
40/41
42/41
9/41
35/41

Answers

Answer:

I think we're probably talking about a right triangle. So just find the adjacent side and the hypotenuse.

Step-by-step explanation:

Once we are considering [tex]x \in \mathbb{R}[/tex], the range of  [tex]\text{cos}(x)[/tex] is [tex][1, -1][/tex]. Therefore, [tex]$\frac{42}{41} $[/tex] is not true.

In this exercise, we may have

[tex]$\text{cos}(x)=\frac{x}{r} =\frac{x}{\sqrt{x^2 +y^2} } $[/tex]

Considering the trigonometric functions beyond the unit circle.

Or considering the definition in the right triangle:

[tex]$\text{cos}(x)=\frac{\text{adjacent}}{\text{hypotenuse}} $[/tex]

3/4 of a number is 5/8. Find the number.

Answers

Answer:

N = 5/6

Step-by-step explanation:

of means multiply and is means equals

3/4 * N = 5/8

Multiply each side by 4/3

4/3 * 3/4 N = 5/8 *4/3

N = 20/24

Simplifying

N = 5/6

The answer is 5/6.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Solve for n
n+1 = 4(n-8)
0 n = 1
On = 8
0 n = 11
0 n = 16

Answers

I want to say 16 but I’m not quite sure

what number is being factored in this factor tree?

Answers

Answer:

164

Step-by-step explanation:

82 multiplied by 2

Answer:

164

Step-by-step explanation:

2 *82=164

What additional information could be used to prove that
AABC - ANML? Check all that apply.
O ZB ZM
O AABC is a right triangle.
AABC was rotated and dilated by a scale factor
between 0 and 1.
AABC was translated right and down.
OLC ZL

Answers

Answer:

A

C

E

that's the answer I got it right

on Edg

The experimental probability of getting a 6 on a number cube is 7 over 40 . Which is true about the event’s experimental probability? The number 6 came up a total of 40 times. The number 6 came up 7 times out of a total of 40 trials. The number cube was rolled a total of 47 times. After 7 trials, the number 6 came up 40 times.

Answers

Answer:

The number 6 came up 7 times out of a total of 40 trials

Step-by-step explanation:

Correct me if i am wrong

Answer:B

Step-by-step explanation:

Because I said so, if you don’t believe me you are a looser

An isosceles triangle has legs whose lengths are 10 inches and a base whose length is 12 inches. Which of
the following is the area of the triangle in square inches?
(1) 34
(2) 48
(3) 60
(4) 84​

Answers

Answer:

48

Step-by-step explanation:

We have to find the height of the triangle to find its area. The altitude to the base of an isosceles triangle is also the median, meaning the altitude forms a 6-8-10 right triangle, so the length of the height is 8, and therefore the area is 0.5 * 8 * 12 = 48.

The interior angles of triangle ABC measure 34°, 63°, and xº. The Interior angles of
triangle DEF measure yº, 63°, and 83º.
Which statement is true?
The triangles are similar because y=34 and there are three pairs of congruent
angles.
The triangles are similar because they each have an interior angles that
measures 63º.
The triangles are not similar because x does not equal y.
The triangles are not similar because y does not equal 34º.

Answers

Answer:

the triangles are similar because y=34 and there are three pairs of congruent angles

Step-by-step explanation:

this is correct because all of the angles in a triangle add up to 180, so if y = 34 then 34 + 63 + 83 = 180

this also means x is equal to 83  which means both triangles share all of the same angle measures

student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 34 ​centimeters, and the length of the other leg is 26 centimeters. The student incorrectly says that the length of the hypotenuse is 7.7 centimeters. Answer parts a and b.
a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter.

Answers

Answer = 42.8

Step-by-step explanation:

All right triangles have one right (90-degree) angle, and the hypotenuse is the side that is opposite or the right angle, or the longest side of the right triangle.[1] The hypotenuse is the longest side of the triangle, and it’s also very easy to find using a couple of different methods. This article will teach you how to find the length of the hypotenuse using the Pythagorean theorem when you know the length of the other two sides of the triangle. It will then teach you to recognize the hypotenuse of some special right triangles that often appear on tests. It will finally teach you to find the length of the hypotenuse using the Law of Sines when you only know the length of one side and the measure of one additional angle

Another question worth brainliest and 30 points!
But give me correct answers and i’ll give it to u

Write 18 in lowest terms
30

A. 3/10
B. 3/5
C. 4/5
D. 6/10

Answers

Answer:

B. 3/5

Step-by-step explanation:

I actually dont know how to explain srry

Answer: B; 3/5

Step-by-step explanation: There are multiple different ways for solving this. We could guess and check, convert into a decimal, and/or percentage. Just to keep things simple, I will be converting these to decimals.

First, 18/30=.6

Now we have to convert the following multiple choice into decimals to find out which is equivalent.

3/10=.3 --> This is not .6 so this is incorrect

3/5=---->.6, so this is one choice we could pick

4/5--->.8, so this is incorrect

6/10---> which is also .6, so this option qualifies.

But then, in the question it states the lowest terms. So your answer would be 3/5.

hope this helps

-Carrie

P.S. be sure to mark BRAINLIEST

If an electric circuit is not grounded, it is best to reach out and touch it to
provide the ground.
O A. True
O B. False

Answers

the answer is B because it is not safe to touch it

Find the explicit formula for the geometric sequence. Then find a8.
4, 8, 16, 64, ....

Which Answer is Correct:
A) an = 4 ⋅ rn – 1; 1,024
B) an = a1 ⋅ 2n – 1; 256
C) an = 4 ⋅ 2n – 1; 512
D) an = 2 ⋅ 4n – 1; 512

Answers

Answer:

Step-


Honey it c !!!!………!l║.by-step explanation:

The explicit formula for the given "geometric-sequence" is aₙ = 4 × 2ⁿ⁻¹, and the eight term is 512, Option(c) is correct.

To find the explicit formula for a geometric-sequence, we need to find the common ratio between any two consecutive terms.

In this sequence, we can see that each term is obtained by multiplying the previous term by 2. So, the "common-ratio" is 2.

We also know the "first-term" is 4, so we use the formula for the nth term of a geometric sequence which is : aₙ = a₁ × rⁿ⁻¹,

Substituting the values,

We get,

⇒ a₈ = 4 × 2⁽⁸⁻¹⁾

⇒ a₈ = 4 × 2⁷

⇒ a₈ = 512,

Therefore, the correct answer is (c) aₙ = 4 × 2ⁿ⁻¹; 512.

Learn more about Explicit Formula here

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The given question is incomplete, the complete question is

Find the explicit formula for the geometric sequence. Then find a₈.

4, 8, 16, 32, 64,....

Which Answer is Correct:

(a) aₙ = 4 × rₙ - 1; 1024

(b) aₙ = a₁ × 2ⁿ⁻¹; 256

(c) aₙ = 4 × 2ⁿ⁻¹; 512

(d) aₙ = 2 × 4ⁿ⁻¹; 512

Change the mixed number into an improper faction 6 5/12

Answers

Answer:

77/12

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

12 × 6 = 72

Step 2

Add the answer from Step 1 to the numerator

72 + 5 = 77

Step 3

Write answer from Step 2 over the denominator

77/12

=12×6+512= 77/12

Answer:

77/12

Step-by-step explanation:

You multiply the whole number by the station's denominator. You will get 72.

Then you add the 72/12 and 5/12 together.

You will get 77/12.

Which statement is not true about these triangles?​

Answers

Answer:

the answer is the second option.

Step-by-step explanation:

Answer:

the second option

Step-by-step explanation:

∠S corresponds to ∠V.

HELP!!!
Solve for x given that CE = 36.
Show your work

Answers

Answer:

x=7

Step-by-step explanation:

CE = 36

CE = 9+(3x+6) = 9+6+3x = 15+3x

36= 15+3x

36-15 = 15-15+3x (removing 15 from left side also means removing 15 from right side)

21 = 3x

x= 21/3 = 7

Answer:

x=7

Step-by-step explanation:

First, I wrote down the equation.

3x+6=36-9

Then, I simplified it.

3x+6=27

Then, I moved the six from the right to the left.

3x=21

After that, I divided both sides by 3.

x=7

Yay! You got your answer!

AABC has coordinates of A(-6, -3), B(7, -7), and C(0, 3). Find the coordinates of its image after a dilation centered at the origin with a scale factor of 1.5.

Answers

Since the scale factor is 1.5 it is more than one so it is an enlargement. You will multiply each point by 1.5 for example (x,y) becomes (1.5x, 1.5y) so for point A you would do (-6 x 1.5, -3 x 1.5). After you multiple that would be your new coordinate. Hope that helps!

select the postulate or theorem that you can use to conclude that the triangles are similar.

Answers

Answer:

First state that two triangles are similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Let's take two triangles that are similar:

Taking two triangles:

[tex]{\triangle ABC \text{ and } \triangle PQR[/tex]

If

[tex]\angle A \displaystyle \cong \angle P[/tex]

and

[tex]\angle C \displaystyle \cong \angle R[/tex]

Then,

[tex]{\triangle ABC \sim \triangle PQR[/tex]

It is Angle-Angle (or AA) Theorem.

It says that two triangles are similar if they have two pairs of corresponding angles that are congruent.

5, Construct Arguments May bought 12
hats. What solid figure do the hats look
like? What attributes help you decide?

Answers

Answer:

Cone.

Step-by-step explanation:

From the given figure it is clear the hat is look like a solid figure, which have a circular base and single vertex, i.e., cone.

The following attributes help as to decide that the hat is a cone:

1. Hat and cone both have one vertex.

2. Hat and cone both have one circular base.

Therefore, the hat is look like cone.

Triangle ABC has vertices A(4,5), B(8,9), and C(6,7). What are the vertices of triangle A′B′C′ if triangle ABC is translated according to the algebraic description (x, y) → (x + 3, y – 2)?

Answers

Answer:

A'(7,3), B'(11,7) and C'(9,5).

Step-by-step explanation:

The vertices of given triangle are A(4,5), B(8,9), and C(6,7).

Given rule of translation is

[tex](x,y)\rightarrow (x+3,y-2)[/tex]

We need to find the vertices of triangle A'B'C'.

Now,

[tex]A(4,5)\rightarrow A'(4+3,5-2)=A'(7,3)[/tex]

[tex]B(8,9)\rightarrow B'(8+3,9-2)=B'(11,7)[/tex]

[tex]C(6,7)\rightarrow C'(6+3,7-2)=C'(9,5)[/tex]

Therefore, the vertices of triangle A'B'C' are A'(7,3), B'(11,7) and C'(9,5).

½ of the length of rope A is equal to 3/5 of the length of rope B. Rope A is 42cm longer than rope B. How long is rope A? ​

Answers

Answer: A = x^2/16 + (5 - x/4)^2 > 20.5

Hope this helped.

Given a segment with endpoint coordinates (0,4) and (-4,-3) find the
coordinates of the midpoint.
Enter the x-coordinate value here
Enter the y-coordinate value here​

Answers

Answer:

(-2 , 1/2)

Step-by-step explanation:

x = -2

y = 1/2 or 0.5

Solve for y
-1 + y/8< 15

А. У<7/4
B. y < 2
C. y < 112
D. y<128​

Answers

Answer:

D. y < 128

Step-by-step explanation:

-1 + y/8 < 15

y/8 < 15 + 1

y/8 < 16

y < 16 × 8

y < 128

Answer:

Y<128

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

1/8y-1<15

Step 2: Add 1 to both sides.

1/8y-1+1<15+1

1/8y=16

Step 3: Multiply both sides by 8.

(8)*(1/8y)<(8)*(16)

Y<128

Which of the following equations is equivalent to the slope formula

Answers

Answer: D

Step-by-step explanation: Notice that if you multiply both sides of the equation of y2 = m (x2 - x1) + y1 by X2 - X1.

This gives you m(X2 - X1) = Y2 - Y1.

Then add Y1 to both sides to get m(X2 - X1) + Y1 = Y2.

This slope would be equivalent to the usual slope formula.

The relationship between the number of pounds (lb) of peppers and the
total cost in dollars is shown in the graph. What is the unit price of
peppers?

(Brainly this isn't a quiz for me so don't at me) ​

Answers

Answer:   3 dollars per pound

Explanation:

The unit price is the price of 1 unit, in this case one pound. So we locate x = 1 on the x axis, draw a vertical line upward til we get to the diagonal line, and then draw a horizontal line until we reach the y axis. You should arrive at y = 3.

Answer:

3$/1lb

Step-by-step explanation:

thats the answerrrr

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