LCM between 10 and 19 is 190.
First we can find the prime factorization of 10:
2 * 5.
Prime factorization of 19:
19.
2 * 5 * 19 = 190
The answer is 10 2/3 because 3/4 equals .75. 8 divided by .75 equals 10 2/3
So, to evaluate a combination, there's a formula we use.
I don't remember the formula from the top of my head, lol, but this is how you solve them.
7 c 2
When doing combinations and permutations each number is always in a factorial. We always start with the number on the left.
7! That's the total amount. The number on the left divides into that.
7! / 2!
We're not done yet. Here's the tricky part. We also always divide the number on the left, in this case 7!, with the positive difference of both numbers given to us.
7 - 2 = 5
So, we have 7! / 5! / 2! = 21.
Hope that helped!
Let's work another one.
5 c 3
We have 5! / 3! ,but we need to also divide 5! by the positive difference of 5 and 3. We get 2.
So, 5! / 3! / 2! = 10.
If you have any questions then leave a comment. Good luck!
The answer is infinitely many solutions.
<span>x - y = 11
-x + y = -11
_____
Express the first equation in the term of x and substitute it into the second equation:
x = y + 11
</span>-x + y = -11
_______
-(y + 11) + y = -11
-y - 11 + y = -11
-y + y = 11 - 11
0 = 0
So, the system has infinitely many solutions.
Answer:
We have that y = 21 when x = 11.
Step-by-step explanation:
We solve this question by proportions, using a rule of three.
Since they vary inversely, we apply the inverse rule of three, that is, with lateral multiplication instead of diagonal.
33 - 7
y - 11
So
11y = 33 -7
y - 11
Dividing both sides by 11
Y = 3 * 7 = 21
We have that y = 21 when x = 11.
