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Nikolay [14]
3 years ago
7

A pharmacy mixes different concentrations of saline solutions for its customers. The pharmacy has a supply of two​ concentration

s, 0.4% and 4%. The function y=((100)(0.4)+x(0.004))/(100+x) gives the concentration of the saline solution after adding x milliliters of the 0..4% solution to 100 milliliters of the 4% solution. How many milliliters of the 0.4% solution must be added to the 4% solution to get a 0.85% solution?
Please answer soon it's timed
Mathematics
1 answer:
Talja [164]3 years ago
6 0

Answer:

8700

Step-by-step explanation:

(100)(0.4) + (x)(0.004) = (100+x)(0.0085)

40 + 0.004x = 0.85 + 0.0085x

0.0045x = 39.15

x = 8700

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What is the average rate of change of the function over the interval x = 0 to x = 8?
goblinko [34]

Answer:

-13/400

Step-by-step explanation:

The pertinent formula is

                             change in f(x) over [a, b]        f(8) - f(0)

a. r. of change = --------------------------------------- = ----------------

                              change in x over [a, b]               8 - 0

Continuing these calculations, we get:

                               2(8) - 2              2(0) - 2        14/8           -2/8

                     (1/8) -------------- - (1/8) ------------- = -----------  -  -----------

                                5(8) - 6              5(0) - 6       40 - 6           -6

                         

                                                                                7/4       1/4

This simplifies to    average rate of change =      ------- - --------

                                                                                  34         6

                                                                                    7                 1

                                                                          =   ------------- - ---------- = -13/400

                                                                                   136             24

8 0
3 years ago
The fish population in a local stream is decreasing at a rate of 3% per year. The original population was 48,000. Write an expon
ElenaW [278]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Decrease rate (d)= 7%

Number of periods (n)= 7 years

Current population (PV)= 48,000

<u>First, to calculate the future value, we need to use the following decrease exponential formula:</u>

<u />

FV= PV*[(1+d)^-n]

<u>After 7 years:</u>

FV= 48,000*(1.07^-7)

FV= 29,892

8 0
3 years ago
Please help me with this problem:Which properties justify the steps taken to solve the system?{2x−4y=183x+3y=0Drag and drop the
Hatshy [7]

First step.

If we multiply by 3 the first equation and by 2 the second equation we get the first step:

\begin{gathered} 6x-12y=54 \\ 6x+6y=0 \end{gathered}

therefore, the answer for the first box is: Multiplication property of equality.

Second step.

If we subtract both equations, we have

-18y=54

then, the answer for the second box is: Subtraction property of equality

Third step.

By dividing both sides of our last result by -18, we get

y=\frac{54}{-18}=-3

then, the answer for the third step is: Division property of equality.

Fourth step.

Once we have obtained the result for variable y (which is -3), we need to find the result for variable x. So, by substituting our result for y into the first equation, we have

2x-4(-3)=18

Therefore, the answer for the fourth box is: Substitution property of equality.

Fifth step.

Then, by simplifying our last result, in which there is a product of -4 and -3, we get

2x+12=18

Thefore, the answer for the fifth box is: Simplify.

Sixth step.

Now, by subtracting 12 to both sides, we have

2x=6

then, the answer for the sixth box is: Subtraction property of equality.

Seventh step.

Finally, by dividing both sides by 2, we obtain

x=3

Then, the answer for the seventh box is: Division property of equality.

5 0
2 years ago
Billy has 1 gallon of paint. He is going to pour it into a paint tray that measures 10 inches wide, 14 inches long, and 4 cm dee
Free_Kalibri [48]

Answer:

The paint will not fill the tray by 10.53 in3.

Step-by-step explanation:

Length = 14 inches

Width = 10 inches

Depth = 4 cm = 1.57 inches

Volume = length x width x depth

Volume = 14 x 10 x 1.57

= 220.47 inches cube

Volume of Gallon = 231 inches cube

5 0
3 years ago
Today, she continued reading the book at the same speed. She read 10 pages in 35 minutes. How much time did she spend reading th
7nadin3 [17]

Answer:

49min

Step-by-step explanation:

6 0
3 years ago
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