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Romashka [77]
3 years ago
7

solve using a system of equations. a pharmacist wants to mix two solutions to obtain 350 cc of a solution that has a 14% concent

ration of a certain medicine. if one solution has a 17% concentration of the medicine and the second has a 7% concentration, how much of each solution should she mix ?
Mathematics
1 answer:
Pavlova-9 [17]3 years ago
7 0

Answer:

105 cc of 7% solution

245 cc of 17% solution

Step-by-step explanation:

If x = volume of 7% solution, and y = volume of 17% solution, then:

x + y = 350

0.07x + 0.17y = 0.14(350)

Solve with substitution:

0.07x + 0.17(350 − x) = 0.14(350)

0.07x + 59.5 − 0.17x = 49

10.5 = 0.10x

x = 105

y = 245

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The center on a target has a diameter of 5 inches. The whole target has a diameter of 25 inches. Complete the explanation for wh
kicyunya [14]

Answer:

The center is \frac{1}{25} of the whole target.

Step-by-step explanation:

Given:

Diameter of the center = 5 inches

Diameter of the whole target = 25 inches

We need to find the part of the center to the whole target.

Solution,

Firstly we will find out the areas of center and whole target.

For center;

Diameter = 5 in

Radius of circle is equal to half of the diameter.

radius = \frac{diameter}{2}=\frac{5}{2}=2.5\ in

Now we know that the area of circle is equal to π times square of the radius.

framing in equation form, we get;

Area = \pi \times{2.5}^2

For whole target;

Diameter = 25 in

Radius of circle is equal to half of the diameter.

radius = \frac{diameter}{2}=\frac{25}{2}=12.5\ in

Now we know that the area of circle is equal to π times square of the radius.

framing in equation form, we get;

Area = \pi \times12.5^2

Now to find the part of the center to the whole target we will divide Area of center with Area of the target.

framing in equation form we get;

the part of the center to the whole target = \frac{\pi \times2.5^2}{\pi \times12.5^2}= \frac{6.25}{156.25} = \frac{1}{25}

Hence the center is \frac{1}{25} of the whole target.

6 0
3 years ago
(-3,-2). (9. -15)<br> Slope
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answer:

-13/12

Step-by-step explanation:

use the formula to find slope using points

it is: y2-y1/x2-x1

plug in point values into formula

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-15-(-2)/ 9-(-3)

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Hey boo! The answer is 0.000001. Have a lovely day!
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inysia [295]

Answer:

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Step-by-step explanation:    

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