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Maurinko [17]
3 years ago
12

A scientist needs 4.8 liters of a 12% alcohol solution. She has available a 22% and a 10% solution. How many liters of the 22% a

nd how many liters of the 10% solutions should she mix to make the 12% solution?
Liters of 10% solution =


Liters of 22% solution =

pls someone help!!
Mathematics
1 answer:
yanalaym [24]3 years ago
5 0

Answer:

  • 4.0 L of 10%
  • 0.8 L of 22%

Step-by-step explanation:

For mixture problems, it is convenient to define a variable to represent the amount of the greatest contributor. Let x represent the amount of 22% solution in the mix. Then 4.8-x is the amount of 10% solution.

The amount of alcohol in the mix is ...

  0.22x +0.10(4.8-x) = 0.12(4.8)

Eliminating parentheses, we have ...

  0.22x -0.10x +0.10(4.8) = 0.12(4.8)

Subtracting (0.10)(4.8) and combining x-terms gives ...

  0.12x = 0.02(4.8)

  x = (0.02/0.12)(4.8) = 0.8 . . . . . divide by the x-coefficient

The scientist needs 0.8 L of 22% solution and 4.0 L of 10% solution.

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Minchanka [31]
The answer is the letter d the anwer is 30 I think it was just a guess and I'm bored dont throw no hate comment cuz I'm from Newark run my 30 just like the answer 30
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3 years ago
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olasank [31]

Answer:

A is true and B is false.

Step-by-step explanation:

x + 6.2 ≥ 10.9

Replace x for 4.7...

4.7 + 6.2 ≥ 10.9

10. ≥ 10.9 ( So this is true!)

x - 6.2 ≤ - 5

Replace x for 4.7...

4.7 - 6.2  ≤ -5

-1.2  is not ≤ -5 (So this is false!)

8 0
3 years ago
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Drag expressions to complete each equation.
Ainat [17]
A^-b is the same as 1/a^b.

When there is a negative power, place the number and power over 1.

a^b/a^c = a^(b-c).

c is a negative power, because it is being divided, and is underneath b, which is a positive (and so it stays in the numerator).

a^c/b^c = (a/b)^c

Inside this one, the power of c is distributed to all numbers inside the parenthesis, in this case a and b.


hope this helps
3 0
3 years ago
Read 2 more answers
Help and explain thanks!
katen-ka-za [31]

Answer:

120 cm

Step-by-step explanation:

One way to tackle this is by getting another sheet of paper and drawing it out, then counting up the total of the sides. If you draw it, you can see that you're dealing with a rectangle; two sides of length 12 and two sides of length 8. If you don't like drawing or don't want to in this case, another way to get the answer is by knowing one vertex is at (0, 0), so the next vertex (0, 8), would create a side that's exactly 8 units long. Kind of the same, you know from (0, 0), you also have a point (12, 0), so drawing that would create a side that's 12 units long. All in all, to get the perimeter in units, you have 12 + 12 + 8 + 8 = 40.

The problem says it wants the amount of wood in centimeters needed for the perimeter. What we just found was the perimeter in generic units, so if the problem says every "grid square", or unit, is 3 centimeters long, then all you have to do is take our result 40 and multiply it by 3 to get the number of centimeters. Your perimeter in centimeters would be 120 cm.

7 0
3 years ago
Rainbow bread company delivered a total of 180 loaves of bread to three markets. Savemart received 12 more loaves than vons. Ral
sasho [114]

Let vons market receive x  loaves. Then savemart received x+12 loaves and Ralphs received x + 12 + 6 = x + 18 loaves, Therefore:-

x + x + 12 + x + 18 = 180

3x + 30 = 180

3x = 150

x = 150/3 = 50  

So vons received 50, savemart received 62 and ralph's received 68 loves.  Answer


8 0
3 years ago
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