Let x% be the salt concentration of first solution.
Then in 8ml, amount of salt = ![\frac{8x}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B8x%7D%7B100%7D)
Given that to this 8ml solution, 11ml solution of a 47% salt solution is mixed.
amount of salt in 11ml of 47% salt solution is
= ![\frac{517}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B517%7D%7B100%7D)
So, total amount of salt in new mixture = ![\frac{8x}{100} +\frac{517}{100} = \frac{8x+517}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B8x%7D%7B100%7D%20%2B%5Cfrac%7B517%7D%7B100%7D%20%3D%20%5Cfrac%7B8x%2B517%7D%7B100%7D)
But given that this new solution is a 43% salt solution.
Hence amount of salt in new mixture of (8+11)=19ml solution of 43% salt solution is ![\frac{19*43}{100} = \frac{817}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B19%2A43%7D%7B100%7D%20%3D%20%5Cfrac%7B817%7D%7B100%7D)
Hence ![\frac{8x+517}{100} = \frac{817}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B8x%2B517%7D%7B100%7D%20%3D%20%5Cfrac%7B817%7D%7B100%7D)
8x+517 = 817
8x=817-517 = 300
x= 300/8 = 37.5
Hence the salt concentration in the first solution is 37.5%
Answer:
x = - 4, x = 1
Step-by-step explanation:
At the point of intersection
f(x) = g(x) , that is
(x + 3)² = 3x + 13 ← expand left side using FOIL
x² + 6x + 9 = 3x + 13 ( subtract 3x + 13 from both sides )
x² + 3x - 4 = 0 ← in standard form
(x + 4)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 1 = 0 ⇒ x = 1
Answer:
40
Step-by-step explanation:
2 x -4 x -5 = 2 x 20 = <u>40</u>
Answer:
Dependent Value: Cost (C)
Independent Value: Bushels (B)
Step-by-step explanation:
You can make the letter D out of the side of the bar graph and the letter I on the bottom, this tells you the label on the side is the dependent and the label on the bottom is the independent. If you dont have a line graph then think about this sentence starter: ...... effects.......
Quote to make you happy:
M=c/at
Divide both sides by a and t to isolate m. Then the solution is just m=c/at