Let
x-------------> liters of <span>10% alcohol solution
</span>y-------------> liters of 60% alcohol solution
we know that
x+y=50----------------------> x=50-y-----------------> equation 1
0.10x+0.60y=0.40*50----------> 0.10x+0.60y=20---------> equation 2
substitute 1 in 2
0.10*(50-y)+0.60y=20---------> 5-0.10y+0.60y=20
5+0.50y=20------------> 0.50y=15-----------------> y=30
x+y=50----------> x=50-30---------> x=20
the answer is
20 liters of 10% alcohol solution
30 liters of 60% alcohol solution
Answer:
y = 11.5
Step-by-step explanation:
Given 2 secants from an external point to the circle.
Then the product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is
6(6 + y) = 5(5 + 16)
36 + 6y = 5 × 21 = 105 ( subtract 36 from both sides )
6y = 69 ( divide both parts by 6 )
y = 11.5
what grade is this also what page in the book
In a function, you cannot have more than one point with any x-coordinate.
There are two sets of points that cause problems.
(-2, 2) and (-2, 3) have the same x-coordinate, -2.
(2, -2) and (2, -4) have the same x-coordinate, 2.
If you remove one of the points with x-coordinate -2 and one of the points with x-coordinate 2, then you'd have a function, so the answer is 2.
The next step after distribution is isolating the terms with the variable at one side and the terms with no variables at the other. Then solve to get the variable.
-2a+32 = -24a-40-2a
-2a+24a+2a = -40-32
24a = -72
a = -3