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2 years ago

12

Kristin wants to make 12 ml of an 8% alcohol solution by mixing together a 32% alcohol solution and pure water. How much of each

solution must she use?

2 answers:

Vikentia [17]2 years ago

5 0

Answer:

6% of each

Step-by-step explanation:

beks73 [17]2 years ago

3 0

6%....................

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Water is withdrawn from a conical reservoir, 8 feet in diameter and 10 feet deep (vertex down) at the constant rate of 5 ft³/min

denis23 [38]

Answer:

Water level in the reservoir is falling at the rate of 0.398 ft per minute.

Step-by-step explanation:

From the figure attached,

Water level in the reservoir has been given as 10 feet and radius of the reservoir is 4 feet.

Let the level of water in the reservoir after time t is h where radius of the water level becomes r.

ΔABE and ΔCDE are similar.

Therefore, their corresponding sides will be in the same ratio.

$\frac{r}{h}=\frac{4}{10}$

$r=\frac{2}{5}h$ --------(1)

Now volume of the water V = $\frac{1}{3}\pi r^{2}h$

From equation (1),

V = $\frac{1}{3}\pi (\frac{2}{5}h)^{2} h$

V = $\frac{4\pi h^{2}\times h}{75}$

$\frac{dV}{dt}=\frac{4\pi }{75}\times \frac{d}{dt}(h^{3})$

$\frac{dV}{dt}=\frac{4\pi }{75}\times (3h^{2})\frac{dh}{dt}$

$\frac{dV}{dt}=\frac{12\pi h^{2}}{75}\times \frac{dh}{dt}$

Since $\frac{dV}{dt}=5$ feet³ per minute and h = 5 feet

$5=\frac{12\pi (5)^{2}}{75}\times \frac{dh}{dt}$

$5=4\pi \frac{dh}{dt}$

$\frac{dh}{dt}=\frac{5}{4\pi}$

$\frac{dh}{dt}=0.398$ feet per minute

Therefore, water level in the reservoir is falling at the rate of 0.398 feet per minute.

3 0

3 years ago

Help with number 27 can you explain how u got the answer

Natasha2012 [34]

So you subsitute 275 for n in the equation

becaue the question says 'let n represent the number of text messages'
so .15(n-250)+5=.15(275-250)+5
so we do the stuff in the parenthasees () first so .15(25)+5

multiply by .15 or 15/100 so
and you get 3.75
3.75+5
you add 5 and get 8.75

8 0

2 years ago

A school sold small and large boxes of fruit for a fundraiser. One student sold 5 small boxes and 13 large boxes for $232. Anoth

algol [13]

Answer: the right answer is

The first equation can be multiplied by –12 and the second equation by 5 to eliminate x.

The first equation can be multiplied by –7 and the second equation by 13 to eliminate y.

The first equation can be multiplied by 7 and the second equation by –13 to eliminate y.

The first equation can be multiplied by 12 and the second equation by –5 to eliminate x.

Step-by-step explanation:

e d g e n u i t y and it says check all that apply ,it was not (A).

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(3×10)×8= <br>which property is being used on this equation

vlada-n [284]

ASSOCIATIVE PROPERTY OF MULTIPLICATION because only the parenthesis moved

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3 years ago

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The last time Sophie checked, the corn stalks in her back yard were 56 inches tall. Now they are 25% taller. How tall are the st

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Answer: 70 inches

Step-by-step explanation: 25 percent of 56 is 14. 14 + 56 = 70.

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