You need one equation of this problem to balance the amount of a boric acid.
The amount of boric acid in 50% solution is expressed as 0.50*x
Next, the amount of water is taken from 25 liters and x (based on 50% solution), that is 25 - x. However, there is NO amount of BORIC ACID in water, and that is 0.
For the output solution, the amount of boric acid will be 0.10*2.5 = 2.5
Then, the balance equation is
0.50*x + 0*(25 - x) = 2.5
Solving for x,
0.50*x + 0 = 2.5
x = 2.5/0.5 = 5
Therefore the amount of liters in 50% solution is
5*0.50 = 2.5 liters
The amount of water is 25 - 5 = 20 liters
Answer:
I'm not 100% sure, but I think it's 3
Here, it is helpful to use the formulae for the volume of a cone and a cylinder. I am assuming we are dealing with a right cone and a right cylinder.
and
.
The volumes of both of these figures are equal to 34 cubic inches, as you said. Notice in our formulae, everything is identical EXCEPT that the volume of a cone is basically that of a cylinder divided by three. To reverse this, that is, to find the volume of the cylinder, we would multiply by 3. 34 cubic inches times 3 is
102 cubic inches.
I would like to add that sometimes these formulae seem totally arbitrary. But when you think about the cylinder like a circle with a rolled-up rectangle, you can see that the
part is the area of a circle, and the height is because it's three dimensional. To translate this into the volume of a cone is a bit trickier. It involves calculus...
. If that looks like nonsense to you, then you can just remember that a cone is kind of a pointy cylinder and must be smaller than a cylinder!
Answer:
its hidden!!!!!!! :D thanks for points ;)