Answer:
x= 44 ounces y = 66 ounces
Step-by-step explanation:
Distribution would be an increase to find 80% salt.
Where we use 4/5 = 80 but use here 4/5.
We find 19/20 but just say 95 for solution B =
Let x = the number of ounces of Solution A
Let y = the number of ounces of Solution B
x + y = 110 y = 110 - x
(70x + 95y) = 4/5 x 110
70x + 95y = 88
70x + 95 y = 88
70x + 95 (88 - x) = 8800 make units equal or for start convert decimalization = same units as 2nd multiplied value.
70x + 8360 - 88x = 8800
-10x - 8360 - 8800 = y
-10x = 440
x = 44 ounces
y = 110- 44
y = 66 ounces
Answer:
The area of the bases must be the same.
Step-by-step explanation:
Volume=LxWxH
Length and width create the base so another formula would be V=B•h, and if they have the same height they would need the same base. Hope this helps, sorry if I’m incorrect.
Set the whole expression = to 0 and solve for x.
3x^(5/3) - 4x^(7/3) = 0. Factor out x^(5/3): x^(5/3) [3 - 4x^(2/3)] = 0
Then either x^(5/3) = 0, or 3 - 4x^(2/3) = 0.
In the latter case, 4x^(2/3) = 3.
To solve this: mult. both sides by x^(-2/3). Then we have
4x^(2/3)x^(-2/3) = 3x^(-2/3), or 4 = 3x^(-2/3). It'd be easier to work with this if we rewrote it as
4 3
--- = --------------------
1 x^(+2/3)
Then
4
--- = x^(-2/3). Then, x^(2/3) = (3/4), and x = (3/4)^(3/2). According to my 3 calculator, that comes out to x = 0.65 (approx.)
Check this result! subst. 0.65 for x in the given equation. Is the equation then true?
My method here was a bit roundabout, and longer than it should have been. Can you think of a more elegant (and shorter) solution?
