Answer:
33 1/3 L of the 40% solution, 16 2/3 L of the 25% solution
Step-by-step explanation:
Set up two equations...
Let x represent the number of Liters of the 40% solution
Let y represent the number of Liters of the 25% solution
We need 50 liters total, so
x + y = 50
and we need the 50 L to be 35% solution, so
0.4x = 0.25y = 0.35(50)
Solve the first equation for one variable...
x = 50 - y (subtract y from both sides in equation 1)
Now substitute that value into the second equation...
0.4(50 - y) + 0.25y = 17.5 (x becomes 50 - y, 0.35(50) = 17.5)
Now solve for y...
20 - 0.4y + 0.25y = 17.5
-0.15y = -2.5
y = 16.66666667
y = 16 2/3 L
So we need to plug that into the first equation to find 'x'
x + 16 2/3 = 50
x = 50 - 16 2/3
x = 33 1/3
Answer:
x = 2
Step-by-step explanation:
Rewrite the equation as 4x - 6 = 2
Move all terms not containing x to the right side of the equation:
Add 6 to both sides of the equation.
4x = 2 + 6
Add 2 and 6.
4x = 8
Divide each term by 4 and simplify.
Divide each term in 4x = 8 by 4.
Reduce the expression by cancelling the common factors.
Divide 8 by 4.
x = 2
Answer:
D
Step-by-step explanation:
you subtract 180 from 119 and you get 61
Probability=blue marbles/total marbles
Probability=5/10=1/2
If you draw from the bag twice...
Probability = 1/2 x 1/2 = 1/4
answer: 1/4
