Answer:
120 liters of 60% alcohol solution is needed
Step-by-step explanation:
Let's assume
x liters of 60% alcohol solution is added
so, we get solution as
we are given
40 liters of a 20% alcohol solution is
so, total alcohol solution is
now, we can find total solutions
total solutions is
now, it is making 50% solution
so, we get
now, we can solve for x
So,
120 liters of 60% alcohol solution is needed
9514 1404 393
Answer:
10
Step-by-step explanation:
The distance formula is useful.
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((7 -1)^2 +(12 -4)^2) = √(6^2 +8^2) = √(36 +64) = √100
d = 10
The distance between P and Q is 10.
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<em>Additional comment</em>
You may recognize the run : rise ratio of 6 : 8 = 3 : 4. This suggests a 3-4-5 right triangle with a scale factor of 2. If you're familiar with that Pythagorean triple, you can write down the answer as soon as you see the rise and run numbers.
Circle 1's center is at x=-4 and Circle 2's center is at x=5. To translate Circle 1 to Circle 2, we need to shift the circle to the right 9 places:
5 - (-4) = +9
We do the same thing for the y value. We are going from y=-2 to y=3.
3 - (-2) = +5
So the first blank is (9, 5)
Next, the scale factor refers to the factor at which the circle is stretched or shrunk. We find it by comparing the radii. Going from 3 cm to 6 cm, the scale factor is:
6/3 = 2.
The scale factor is 2.
Answer:
4
Step-by-step explanation:
if this helps thank you
