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4 years ago

What is the concentration of a new solution obtained by mixing 25ml of water with 125ml of a 20% salt solution in water?

1 answer:

5 0

Given that the concentration of salt in a 125 ml of salt solution is 20%, this means that the ratio of salt to water in the solution is 20 : 80 = 1 : 4.

Thus, the amount of salt in the 125 ml 20% salt solution is given by 20% of 125 = 0.2 x 125 = 25ml and the amount of water in the 125ml 20% salt solution is 125 - 25 = 100 ml.

When 25 ml of water is added to the 125 ml 20% salt solution, the new amount of water is 100 + 25 =125 and the amount of salt remain 25 ml.

Thus, the new volume of the solution is 125 + 25 = 150 ml and the proprtion of salt in the new solution is given by 25 / 150 = 0.1667

Therefore, the concentration of a new solution obtained by mixing 25ml of water with 125ml of a 20% salt solution in water is 16.67%

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In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1 is the first term and d is the commo

Dmitry_Shevchenko [17]

Answer:

$a_{10} = \frac{10}{65536}$

Step-by-step explanation:

The first step to solving this problem is verifying if this sequence is an arithmetic sequence or a geometric sequence.

This sequence is arithmetic if:

$a_{3} - a_{2} = a_{2} - a_{1}$

We have that:

$a_{3} = 40, a_{2} = 10, a_{3} = \frac{5}{2}$

$a_{3} - a_{2} = a_{2} - a_{1}$

$\frac{5}{2} - 10 = 10 - 40$

$\frac{-15}{2} \neq -30$

This is not an arithmetic sequence.

This sequence is geometric if:

$\frac{a_{3}}{a_{2}} = \frac{a_{2}}{a_{1}}$

$\frac{\frac{5}[2}}{10} = \frac{10}{40}$

$\frac{5}{20} = \frac{1}{4}$

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

This is a geometric sequence, in which:

The first term is 40, so $a_{1} = 40$

The common ratio is $\frac{1}{4}$ , so $r = \frac{1}{4}$ .

We have that:

$a_{n} = a_{1}*r^{n-1}$

The 10th term is $a_{10}$ . So:

$a_{10} = a_{1}*r^{9}$

$a_{10} = 40*(\frac{1}{4})^{9}$

$a_{10} = \frac{40}{262144}$

Simplifying by 4, we have:

$a_{10} = \frac{10}{65536}$

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4 years ago

Michaela is planning a pizza party for 48 people. she has $200 to buy pizza and soda for the party. Each 12-pack of soda can cos

Dominik [7]

The answer to this question would be: D. 200>6P(8.00)+4S(5.00)


Michaela is planning a pizza party for 48 people and she uses 12-pack of soda and 8-slice pizza. That means the pack of soda she needs would be:
48 people/ (12soda/pack)= 4 pack

Then, number the pizza she needs:
48 people/ 8 (slice/pizza)= 6 pizza

She has $200 so the price she can afford should be lower than that. The function would be:
the money she has > number of pizza(price of pizza) + number of soda(price of soda)
200>6P(8.00)+4S(5.00)

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4 years ago

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kvasek [131]

Answer:

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Step-by-step explanation:

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3 years ago

Sarah bought a TV for $250. Three years later she sold it for $180. Work out her percentage loss.

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