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3 years ago

how many kilograms of pure water is to be added to 100 kilograms of a 30% saline solution to make it a 10% saline solution

Mathematics

1 answer:

Irina-Kira [14]3 years ago

4 0

Answer:

200 kg

Step-by-step explanation:

If w is the amount of water added, then the concentration of the solution is ...

salt/solute = 100(0.30)/(100 +w) = 0.10

30 = 10 +0.10w . . . . . simplify

20 = 0.10w . . . . . . . . subtract 10

20/0.10 = w = 200 . . . . divide by 0.10

200 kg of water must be added to dilute the solution to 10%.

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3 years ago

In 2003 a town’s population was 1431. By 2007 the population had grown to 2134. Assume the population is changing linearly.How m

sergiy2304 [10]

We will have the following:

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$\Delta P=2134-1431\Rightarrow\Delta P=703$

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$\Delta y=2007-2003\Rightarrow\Delta y=4$

So, it took 4 years to changes from 1431 to 2134.

$m=\frac{2134-1431}{2007-2003}\Rightarrow m=175.75$

The average population growth per year is of 175.75 people per year.

The population in 2000 would have been:

$P_{2000}=\frac{2000\cdot1431}{2003}\Rightarrow P_{2000}=1428.856715\ldots$

$\Rightarrow P_{2000}\approx1429$

So, the population in 2000 would have been approximately 1429 people.

We will have that the equation for the population would be:

$P=(\frac{2134-1431}{2007-2003})t+1429\Rightarrow P=\frac{703}{4}t+1429$

So, the equation would be:

$P=175.75t+1429$

Now, we predict the number of people of the town in 2014:

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1 year ago

3+2x+x-1=2x+x-2 answer?

konstantin123 [22]

It’d be 2=-2 ... but then subtract two from both side and the answer is a null set. Also known as “no solution”..

Best of luck in your studies :)
-Nicky

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