9514 1404 393
Answer:
- 100 mL of 75% solution
- 150 mL of pure alcohol
Step-by-step explanation:
Let x represent the quantity (in mL) of pure alcohol needed for the mix. Then the amount of 75% needed is (250-x). The amount of alcohol in the mixture is ...
1.00x +0.75(250 -x) = 0.90(250)
0.25x +187.5 = 225 . . simplify
0.25x = 37.5 . . . . . . . . subtract 187.5
x = 150 . . . . . . . . . . . . . divide by 0.25
(250 -x) = 100 . . . . mL of 75% solution
You need 100 mL of the 75% solution and 150 mL of pure alcohol to obtain the desired mixture.
It's been a while since I have done these kind of questions, but I would say a 180 transformation would be my best answer. Hope this helps a bit!
<span>(x+3)^2 = x^2 + 69
x^2 + 6x + 9 = x^2 + 69
x^2 + 6x + 9 - x^2 = x^2 + 69 - x^2
6x + 9 = 69</span>
The width would be 9 I don’t want to explain it but if you want me to leave a comment
Answer:You haven't attached a picture but this is what your line should look like
Step-by-step explanation:
For this equation you simply have to graph it.
First, you have to remember that these equations follow a formula: y=mx+b. m is the slope of you line and b is the y-intercept.
Next, you need to graph it. First, graph your b, in this case 2. You would go up 2 on you graph (graph (0,2)). Then, you would graph your slope which is 3.
Now, remember that slope equals y/x, so think of the number 3 being like 3/1. You would start at (0,2) and go up 3 points in the graph, then over 1 point (graph where you end up). You repeat that from each new point you make until you have enough points to create a straight line.
Hope this helps a bit,
Flips