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liubo4ka [24]
3 years ago
8

gn="absmiddle" class="latex-formula"> for h
Mathematics
1 answer:
Dmitriy789 [7]3 years ago
4 0
v = \frac{\pi}{3r^{2}h}
hv = \frac{\pi}{3r^{2}}
h = \frac{\pi}{3r^{2}v}
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A druggist wants to reduce a 20-ounce quantity of a 7% solution of iodine to a 4% solution by adding pure alcohol. How much alco
Radda [10]
So hmmm 7% of anything is (7/100) * anything.

now... how much iodine is in the 20oz solution? well (7/100) * 20, or 1.4 is iodine, the rest is some other substances, but 1.4oz is iodine.

now, he wants to drop it to a mixture of 4% iodine, let's say the mixture "m" in ounces, has 4% iodine, how much is that? well (4/100) * m, or 0.04m.

well, he wants to do so by adding say "a" oz of pure alcohol... how much iodine in the alcohol?  none or 0%, or (0/100) * a, or 0.00a or just 0a or 0 anyway.

\bf \begin{array}{lccclll}
&\stackrel{oz}{amount}&\stackrel{iodine~\%}{quantity}&\stackrel{iodine~oz}{quantity}\\
&------&------&------\\
\textit{20oz sol'n}&20&0.07&1.4\\
\textit{pure alcohol}&a&0.00&0a\\
------&------&------&------\\
mixture&m&0.04&0.04m
\end{array}

now, whatever "m" may be, we know that 20 + a = m, and we also know likewise that 1.4+0 = 0.04m.

\bf \begin{cases}
20+a=\boxed{m}\\
1.4+0=0.04m\\
----------\\
1.4=0.04\left( \boxed{20+a} \right)
\end{cases}
\\\\\\
1.4=0.04a+0.8\implies 1.4-0.8=0.04a\implies 0.6=0.04a
\\\\\\
\cfrac{0.6}{0.04}=a\implies \stackrel{oz}{15}=a
4 0
3 years ago
Dylan has two cubes of iron. The larger cube has twice the mass of the smaller cube. He measures the smaller cube. It's mass is
Lelu [443]
Density \rho
is given by \rho = frac{m}{V}
where m is the mass of the object
V is the Volume of the object

let m1 be the mass of the smaller cube
let m2 be the mass of the larger cube

you know that the larger cube has twice the mass of the smaller cube
or m2=2*m1

so apply this information into the density equation and you can determine the volume of the larger cube
6 0
3 years ago
Danyel took a test that had 20 questions on it. He got 4/5 of the question correct. How many questions did he get correct?
KengaRu [80]

Answer:

16

Step-by-step explanation:

20 divided by 5 times 4 = 16 OR 20 times 4/5 = 16  

Hope this helps! If it did please mark it as brainliest!

8 0
2 years ago
Someone Help please!
Shtirlitz [24]
What question do we need to solve??
7 0
3 years ago
I need a lot of questions answered, I'm sorry!
Rashid [163]

1.3272
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Sorry I dont know the rest but i hope i helped.

4 0
3 years ago
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