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Pepsi [2]
3 years ago
9

how many liters of a 40% acid solution must be added to 12 liters of a 20% solution to obtain a 25% solution​

Mathematics
1 answer:
kkurt [141]3 years ago
6 0

Answer:

The answer is 4 liters.

Step-by-step explanation:

We want a final 25% solution, which means that the solvent should constitute 25 percent of all the liters of solution.

Let us call x the litres of 40% solution, so when they are added to the 12 litres of 20% solution, the total litres of the new solution are:

x+12

of these liters, 25% must be the solvent:

N=0.25(x+12)

Now for the 40% solution, the liters of the solvent are 0.4x, and for the 20% liter solution, the liters of solve are 0.2*12=2.4 liters. Thus the total liters N of the solvent are

N=0.4x+2.4

Therefore

N=0.4x+2.4=0.25(x+12)

\therefore x=4\:litres

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denpristay [2]

Answer:

The answer to this question is $14,916

Step-by-step explanation:

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7 0
3 years ago
What is the center and radius of the circle with equation (x - 2)^2 + (y - 5)^2 = 100?
ololo11 [35]
Answer: 
Center = (2,5)
Radius = 10
Choice A

To find this answer, first write the equation 
(x-2)^2 + (y-5)^2 = 100
into 
(x-2)^2 + (y-5)^2 = 10^2

Note how the second equation is in the form
(x-h)^2 + (y-k)^2 = r^2

We see that (h,k) = (2,5) is the center
and r = 10 is the radius
5 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20-22x%3D10%5C%5C" id="TexFormula1" title="x^{2} -22x=10\\" alt="x^{2} -22x=10\\"
Ronch [10]

Answer:

Step-by-step explanation:

x^2 - 22x = 10

Next step is to complete the square on the left hand side of the equation and it would be balanced by adding the same number to the right side of the equation. It becomes

x^2 - 22x + (22/2)^2 = 10 + (22/2)^2

x^2 - 22x + (11)^2 = 10 + (11)^2

x^2 - 22x + (11)^2 = 10 + 121

x^2 - 22x + (11)^2 = 131

x^2 - 22x + 121^2 = 131

(x - 11)^2 = 131

Taking square root of both the left hand side and the right hand side of the equation, it becomes

x - 11 = ±√131

x - 11 = ±11.45

Adding 11 to the left hand side and the right hand side of the equation, it becomes

x - 11 + 11 = ±11.45 + 11

x = 11.45 + 11 or x = -11.45 + 11

x = 22.45 or x = - 0.45

5 0
4 years ago
What is e+f/g in distributive property​
enot [183]

Answer:

e/g+f/g

Step-by-step explanation:

(e+f)/g  can be split up. e/g+f/g is equal to (e+f)/g so your answer is e/g +f/g

7 0
3 years ago
In order to make an A on her project, Sarah needs at least 160 points. She has already turned in part of her work and has been g
antoniya [11.8K]

to get an A, she needs >=160 points and she already has 125 points

let 'x' be the number of points on the last part of her project then

125 + x >= 160

x >= 160 - 125

x >= 35

Sarah needs at least 35 points on the last part of her project.

8 0
3 years ago
Read 2 more answers
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