Let x represent the number of liters of 50% acid Theresa puts into the mix. The the number of liters of 30% acid will be (420-x). The total amount of acid in the final solution will be ...
0.50x + 0.30(420-x) = 0.45(420)
0.20x + 126 = 189 . . . . . . . . . . . . . . . simplify
0.20x = 63 . . . . . . . . . . . . . . . . . . . . . subtract 126
x = 63/0.20 = 315 . . . . . . . . . . . . . . . liters of 50% solution
(420-x) = 420-315 = 105 . . . . . . . . . liters of 30% solution
Theresa should mix ...
105 liters of 30% solution
315 liters of 50% solution
Hello :D
Answer:

The answer should have a negative sign.
Step-by-step explanation:
First, you do is divide by 17 from both sides of an equation.

Then, you simplify and solve to find the answer.

, which is our answer.
I hope this helps you!
Have a great day! :D
I think the answer is 9.3, but I’m not sure
Answer:
Step-by-step explanation:
Simplifying
2m + -6n + 5n + 3m = 0
Reorder the terms:
2m + 3m + -6n + 5n = 0
Combine like terms: 2m + 3m = 5m
5m + -6n + 5n = 0
Combine like terms: -6n + 5n = -1n
5m + -1n = 0
Solving
5m + -1n = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add 'n' to each side of the equation.
5m + -1n + n = 0 + n
Combine like terms: -1n + n = 0
5m + 0 = 0 + n
5m = 0 + n
Remove the zero:
5m = n
Divide each side by '5'.
m = 0.2n
Simplifying
m = 0.2n
Answer:
Step-by-step explanation:
<u><em>h. -1</em></u>
<u><em>i. 5</em></u>
<u><em>j. 11</em></u>
<u><em>k. -3</em></u>
<u><em>l. 1</em></u>
<u><em></em></u>
<u><em>Hope it helps.</em></u>