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2 years ago

Mixed 3 liters 20% solutions with 2 liters 70% solution. What’s the final concentration,

Mathematics

2 answers:

Ivenika [448]2 years ago

8 0

Answer:

The final concentration is 40%.

Step-by-step explanation:

Let x the concentration of final solution.

3 liters of solution (1) with 20% concentration is mixed with 2 liters of 70% solution producing (3 + 2) = 5 liters of x% mixture.

Now 3 × (20%) + 2 × (70% = 5 (x%)

3 × 0.2 + 2 × 0.7 = 5 (0.1x)

0.6 + 1.4 = 0.05x

2 = 0.5x

x = 2/0.05

= 40%

The final concentration is 40%.

Advocard [28]2 years ago

5 0

Answer:

(3×20%+2×70%)/3+2=40%

Step-by-step explanation:

Assuming the potions are the same type or do mix then probably the concentration of the potion depends on the type of reaction they have to each other.

Yet we can average the percentage of the active ingredient by the principle mentioned above

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Interpret the slope based on the chart.

bogdanovich [222]

Answer:

b. For 100 additional burglaries in California one expects to see an increase of about 3 burglaries in Hawaii.

Step-by-step explanation:

The slope gives the increase in the independent variable per unit increase in the dependent variable. Hence, a reasonable interpretation for the slope would be ;

the rate of change in the number of burglaries in Hawaii per 100 unit change in number of burglaries in California is 3.

Hence, for 100 additional burglaries in California, the rate of change in the number of burglaries in Hawaii is 3.

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2 years ago

A one-parameter family of solutions of the de p' = p(1 − p) is given below.

tensa zangetsu [6.8K]

Answer:

A solution curve pass through the point (0,4) when $c_{1} = -\frac{4}{3}$ .

There is not a solution curve passing through the point(0,1).

Step-by-step explanation:

We have the following solution:

$P(t) = \frac{c_{1}e^{t}}{1 + c_{1}e^{t}}$

Does any solution curve pass through the point (0, 4)?

We have to see if P = 4 when t = 0.

$P(t) = \frac{c_{1}e^{t}}{1 + c_{1}e^{t}}$

$4 = \frac{c_{1}}{1 + c_{1}}$

$4 + 4c_{1} = c_{1}$

$c_{1} = -\frac{4}{3}$

A solution curve pass through the point (0,4) when $c_{1} = -\frac{4}{3}$ .

Through the point (0, 1)?

Same thing as above

$P(t) = \frac{c_{1}e^{t}}{1 + c_{1}e^{t}}$

$1 = \frac{c_{1}}{1 + c_{1}}$

$1 + c_{1} = c_{1}$

$0c_{1} = 1$

No solution.

So there is not a solution curve passing through the point(0,1).

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2 years ago

Prove that the sum of all natural numbers is -1/12.

ankoles [38]

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$\displaystyle\sum_{n=1}^\infty n$

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$\displaystyle\sum_{n=1}^kn=\frac{k(k+1)}2$

but clearly this diverges as $k$ gets arbitrarily large.

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2 years ago

If you have the fraction 8/25, and you are trying to turn it into a decimal, which of the following would be helpful?

AysviL [449]

In this situation you will need to do 8 divided by 25 which will give the answer 0.32.

8 0

2 years ago

Read 2 more answers

Given the coordinates for the function below which of the following are coordinates for its inverse

IgorLugansk [536]

Answer:

Not sure but I believe it is A