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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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At what point on the curve y = 2 + 2ex − 4x is the tangent line parallel to the line 4x − y = 3? (x, y) =
Papessa [141]

Answer:

{ln 4, (2 + 2e^ln 4 − 4 ln 4)} or (1.39, 4.45)

Step-by-step explanation:

From this equation 4x − y = 3

-y = 3 - 4x

then, y = 4x - 3

From line equation y = mx + b

Therefore, the slope is 4

Since the are parallel line, they will have same slope

Finding the derivative of y = 2 + 2e^x − 4x

y = 2 + 2e^x − 4x

y' = 0 + 2e^x - 4

Therefore,

4 = 2e^x - 4

4 = e^x

x = ln 4 = 1.39

To find the y coordinate

y = 2 + 2e^x − 4x

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y = 4.45

Hence, they are parallel at point (1.39 and 4.45)

3 0
3 years ago
A scale model of the Vancouver Olympic cauldron is to be built in memory of the 2010 Olympics. If the scale to be used is 1:27,
timurjin [86]

Answer:

23/54 meters

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Assuming that the scale model is smaller, then the scale model should be 1/27th of the actual thing. Therefore:

11.5/27

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4 0
3 years ago
(a) suppose 3 children in a village ages 3, 5, and 7 are vaccinated with the qiv vaccine. what is the probability that at least
murzikaleks [220]

The probability that at least one child among the 3 will get influenza is 0.07.

<h3>Define probability.</h3>

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given,

3 children in a village ages 3, 5, and 7 are vaccinated with the qiv vaccine

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The probability that at least one child among the 3 will get influenza is 0.07.

To learn more about probability, visit:

brainly.com/question/11234923

#SPJ4

7 0
1 year ago
If u go to sleep at 9:30 p.m. and wake up at 6:30a.m. The next morning how long did u sleep
puteri [66]
Well first do this
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8 0
3 years ago
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B. f(x)=2x, g(x)= -1/2x. Hope this helps. :-)
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3 years ago
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