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Ray Of Light [21]
3 years ago
11

How many ounces of a 30% alcohol solution must be mixed with 9 ounces of a 35% alcohol solution to make a 31% alcohol solution ?

Mathematics
1 answer:
sleet_krkn [62]3 years ago
6 0

Answer:

  36 ounces

Step-by-step explanation:

Let q represent the quantity of 30% solution required. The total amount of alcohol in the mix is ...

  30%·q + 35%·9 = 31%·(q +9)

  30q + 315 = 31q +279 . . . . multiply by 100 and eliminate parentheses

  36 = q . . . . . add -(279+30q) to both sides

36 ounces of 30% alcohol must be mixed to make the 31% solution.

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Answer: The result of the division is the number pi.

And the approximation of pi is: pi = 3.14

Step-by-step explanation:

The distance around a circle is called the perimeter of the circle.

The distance across a circle (This is a line that starts on one point of the circle, go through the center of the circle, and end in the next time it intersects the circle) is called the diameter of the circle.

The quotient between these two quantities is maybe one of the most famous numbers in the world, is the number pi, written as:

π = 3.14159265358979...

Is an irrational number, which means that the decimals keep going infinitely.

Then we can conclude that:

"The result of dividing the perimeter by the diameter, is equal to the number pi = π = 3.14159265358979..."

Because this is an irrational number and is actually impossible to write it, we usually use pi = 3.14 to aproximate it.

6 0
3 years ago
Find the volume of the prism.<br><br> 5 units<br> 2 units<br> 8 units
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Answer:

80 units.

Step-by-step explanation:

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Consider an espresso stand with a single barista. Customers arrive at the stand at the rate of 28 per hour according to a Poisso
Snowcat [4.5K]

Answer:

The average number of customers in the system is 3.2

Step-by-step explanation:

The average number of customes in the system is given by:

L = \frac{\lambda^{2}}{\mu(\mu - \lambda)}

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\lambda is the number of arirvals per time period

\mu is the average number of people being served per period.

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This means that \lambda = 28

Service times are exponentially distributed with a service rate of 35 customers per hour.

This means that \mu = 35. So

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L = \frac{28^{2}}{35(35 - 28)} = 3.2

The average number of customers in the system is 3.2

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Answer:

c = 60

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