A chemist wishes to mix a solution that is 12% acid. She has on hand 6 liters of a 4% acid solution and wishes to add some 16% acid solution to obtain the desired
12% acid solution. How much 16% acid solution should she add?
Complete the table.
Liters of
Solution
Percent Acid Liters of
(as a decimal) Pure Acid
0.04
6
Х
0.16
0.12

Answers

Answer 1

Answer:

25 liters of the 16% solution should be added.

Step-by-step explanation:

pure acid amount + pure acid amount = total pure acid amount

0.02*10          + 0.16*x           = 0.12*(10+x)     <<<---=== it is your balance equation;  x is the amount (in liters) of the 16% solution.

0.02*10 + 0.16x = 0.12*10 + 0.12*x

0.16*x - 0.12*x = 0.12*10 - 0.02*10

(0.16 - 0.12)*x = 0.12*10 - 0.02*10

x = %280.12%2A10-0.02%2A10%29%2F%280.16-0.12%29 = 25.

Answer.  25 liters of the 16% solution should be added.

Check.   %280.02%2A10+%2B+0.16%2A25%29%2F%2810+%2B+25%29 = 0.12 = 12% of concentration of the final mixture.   ! Correct !


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Answer:

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Step-by-step explanation:

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In a standard 52-card deck, half of the cards are red, and half are black. The 52 cards are evenly divided into 4 suits: spades, hearts, diamonds, and clubs. Each suit has three face cards (jack, queen, king), and an ace. Each suit also has 9 cards numbered 2 to 10.

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8/10 is the answer to the question

Answer:

18/20 chance

Step-by-step explanation:

if you have 20 total marbles and two are green you have to subtract two because we are finding out the probability of NOT getting a green marble

What is the perimeter of square ABCD?

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This is how you do it.

Use the distance formula to find the distance from A to B, B to C, C to D and D to A. Then add up all 4 distances to find the perimeter.

 

Annabelle invested $5,900 in an account paying an interest rate of 2% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $7,440?

Answers

Answer:

Step-by-step explanation:

Continuous compounding has the form

[tex]A=Pe^{rt}\\ \\ t=\frac{ln\frac{A}{P}}{r}\\ \\ t=\frac{ln\frac{7440}{5900}}{0.02}\\ \\ t\approx 11.6\\ \\ t=12[/tex]

Therefore it will take 12 years for the value of the account to reach $7,440.

What is Compound Interest ?

Compound interest (or compounding interest) is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.

Annabelle invested amount $5900

Final Amount $7440

Rate = 2% compounded continuously

When compounded Continuously ,

[tex]\rm A = P e^{rt}\\\\\\t=\dfrac{ln \frac{A}{P}}{r}\\\\\\\\t=\dfrac{ln \frac{7440}{5900}}{0.02}\\\\t= 12[/tex]

it will take 12 years for the value of the account to reach $7,440.

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PLEASE HELP! The AHS football team did a weigh-in at the start of training camp. The weights of the players were distributed normally with a mean of 98kg and a standard deviation of 6kg. What percentage of players are under 86kg?

Answers

Answer:  2.5%

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

Explanation:

Notice how 98-2*6 = 98-12 = 86. So we're 2 standard deviations below the mean.

Start at the center, which is where the highest point is located. The value 98 is at the center. Then move 2 spots to the left, which has us move 2 standard deviations lower than the mean, and we arrive at 86. Refer to the diagram below.

From here, we add up the percentages in that diagram that are below the 86 mark. Those percentages are the 0.15% and 2.35%

So we get (0.15%) + (2.35%) = 2.5% which is the answer

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Waitrose-
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Answers

Answer: Budging because if you 3.25 + 2 = 5.25 and that

more than the Budging so therefore it's Budging.

and on Budging you get a discount.

Step-by-step explanation:

Eight hundred and eighty-six ten-thousandths in decimal

Answers

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Answer:

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Step-by-step explanation:

18b - 32

2 (9b - 16)

Answer:

2(9b-16)

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Answers

Answer:

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Step-by-step explanation:

Answer:

12

Step-by-step explanation:

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Answer:

x = 41

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Step-by-step explanation:

In order to find the hypotenuse of a right triangle, you must remember the theorem:

a² + b² = c².

40 to the second power is 1600, and 9 to the second power is 81.

Add these together for a total of 1681, but you're not done yet. We need to find what multiplied by itself equals 1681, since c is to the second power.

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The answer is A I think sorry if I’m wrong
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Sharon is using a calculator to find out how many hours she has spent on a certain job.She divides,and her display reads:​

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

Remove the parentheses

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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-----------------------------------------------------------------------------------------------------------------

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Answer:

1. Trapezoid.

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

XZ > XY > YZ

Step-by-step explanation:

1. Approach

To solve this problem, one must find the value of (x), then the measure of every angle in the triangle. Remember, the sum of all angles in a triangle is equal to 180 degrees. Another property of a triangle is that the largest side of a triangle will be opposite the largest angle of the triangle, conversely, the smallest side of a triangle will be opposite the smallest angle in the triangle.

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Inverse operations,

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3. Find the measure of each angle

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4. Now apply this to find the comparative lengths of the sides

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m<Y = 70

m<Z = 60

m< X = 50

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Side XZ is opposite m<Y

Side XY is opposite m<Z

Side YZ is opposite m<X

This means,

XZ > XY > YZ

See photo. Hope it helps

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Answers

Answer:

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Step-by-step explanation:

The given inequality is :

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The attached figure shows the solution to the given inequality.

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Answers

Answer:

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Step-by-step explanation:

6 x 4 / 2 + 10 x 10 = 24 / 2 + 100

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Hope that helps!

it takes 4.5 ounces to my a copper pipe fitting. American pipe estimates they produce an average of 25.4 fittings per week. How much copper will it take to make fittings for the whole year?

Answers

Answer: 5,943.6 ounces of copper

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What does it mean to say that a data point has a residual of 0?
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Answers

Hi!!!

B. the point lies directly on the regression line.

Hope this helped!

Have a good day:)

The point lies directly on the regression line.

Option B is the correct answer.

What is a regression line?

A regression line is a straight line that represents the relationship between two variables in a scatter plot.

In other words, it is a line that best fits the data points in a scatter plot by minimizing the difference between the actual data points and the predicted values on the line.

We have,

When we talk about the residual of a data point in the context of regression analysis, we are referring to the difference between the actual value of the response variable (dependent variable) for that data point and the predicted value of the response variable based on the regression equation.

If a data point has a residual of 0, it means that the predicted value for that data point is exactly equal to the actual value of the response variable.

This can occur when the data point falls directly on the regression line, as in option B.

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The point lies directly on the regression line.

Learn more about regression lines here:

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