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lana66690 [7]
3 years ago
13

A chemistry teacher needs to mix a 20% salt solution with a 80% salt solution to make 25 qt of a 44% salt solution. How many qua

rts of each solution should the teacher mix to get the desired result?
Mathematics
1 answer:
NNADVOKAT [17]3 years ago
5 0
Let there be x quarts of the 20% salt solution, and (25 - x) quarts of the 80% salt solution.
Then the total amount of salt in the 20% portion would be 0.2x, while that from the 80% portion would be (0.8)(25 - x). This would have to total up to (0.44)(25) in the final solution, so the equation is:
0.2x + 0.8(25 - x) = (0.44)(25)
-0.6x + 20 = 11
x = 15 quarts of the 20% salt solution
25 - x = 10 quarts of the 80% salt solution
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Answer:

4 \times  {3}^{n + 3}

Step-by-step explanation:

\frac{ {18}^{n + 1}  \times {3}^{1 - n}}{  {2}^{n - 1}  }

\frac{ {3}^{2n + 2}  \times  {2}^{n + 1}  \times  {3}^{1 - n} }{ {2}^{n - 1} }

{3}^{2n + 2}  \times  {2}^{2}  \times  {3}^{1 - n}

{3}^{2n + 2}  \times 4 \times  {3}^{1 - n}

= 4 \times  {3}^{n + 3}

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Cindy multiple her age by 5, subtracted 12, and then divide by 3. The result was 16. How old is Cindy?
sergejj [24]

Let's give Cindy's age a variable.

Cindy's age = x

Cindy multiplies her age by 5

x(5)

Subtracted by 12

x(5) - 12

Divide by 3

(5x - 12)/3

The result was 16

(5x - 12)/3 = 16

Let's solve

Multiply both sides by 3

(5x - 12) = 48

Open brackets

5x - 12 = 48

Add 12 to both sides

5x = 60

Divide by 5 on both sides to isolate x

x = 12

Cindy is 12 years old.

8 0
2 years ago
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