Answer:
Step-by-step explanation:
If we let x = the amount of 5% solution and y = the amount of pure alcohol, we can set up that
.05x+y is the amount of alcohol in our resulting mixture, and x+y is the total amount in our resulting mixture (which we know is 380)
so we also know that:
(.05x+y)/380 = .6
If we simplify this we come up with:
.05x+y=228
and we know x+y=380
If we solve this as a system of equations, we will find that:
x=160 ml
y=220 ml
2+2=2x+2
-2 to both sides
2=2x
Divide 2
X=1
A graphing calculator shows it takes 3.25 seconds for the shoe to hit the building.
_____
200 -16t^2 = 31
169 = 16t^2
√(169/16) = t
t = 13/4 = 3 1/4
Probability of an event =
(number of ways the event can happen) / (total number of possible outcomes) .
Well, the total number of possible outcomes is easy. It's
(6 possibilities for the first cube) x (6 possibilities for the 2nd cube)
= 36 total possible ways for two cubes to roll.
Now, how many of those possibilities show either 4 or 7 ?
Well, here's how a 4 can come up:
1 . . . 3
2 . . . 2
3 . . . 1
and here's how a 7 can come up:
1 . . . 6
2 . . . 5
3 . . . 4
4 . . . 3
5 . . . 2
6 . . . 1 .
So there are 9 ways all together for Lenny to be successful.
The probability is (9/36) .
That's 1/4 , or 25% .
Answer:
56
Step-by-step explanation:
The range of a data set is the difference between the largest and the smallest values in that data set. In this case, the largest value in the data set is 119, and the smallest is 63. 119-63=56, which is the range. Hope this helps!
