Answer:
d. 20
Step-by-step explanation:
The given question implies 5 permutation 2, i.e 
.
But,

= 
So that for 
, n = 5 and r = 2.

= 
= 
= 
Cancel out 3 and 2 with respect to the numerator and denominator.

= 5 * 4
= 20
Therefore,

= 20
So that the correct option is D.
Answer:
Step-by-step explanation:
C
Answer:
68.04
Step-by-step explanation:
Answer:
The equation is
6x + 12y = 48
Step-by-step explanation:
Standard form another way of writing a linear equation. It is in the form
Ax + By = C
Total amount with Samantha = $48
Single player games = $6 each
Multi player games = $12 each
Let
Number of Single player games = x
Number of Multi player games = y
The number of single player games (x) and the number of multi player games (y) Samantha can buy is
6x + 12y = 48
That is price × quantity of single player games + price × quantity of multi player games = Total amount with Samantha
Answer:
5/6 books
Step-by-step explanation:
We know that Mark read 2 1/2 books last week. This week, he read a bit more with 3 1/3 books.
To find how many more books he read, we must subtract 2 1/2 from 3 1/3:
3 1/3 - 2 1/2
Let's convert these into improper fractions first:
3 1/3 = (3 * 3 + 1) / 3 = 10/3
2 1/2 = (2 * 2 + 1) / 2 = 5/2
Now, we have:
10/3 - 5/2
In order to subtract these, we must find a common denominator. For 2 and 3, the LCM is 6, so we can use that as our common denominator:
10/3 * 2/2 = 20/6
5/2 * 3/3 = 15/6
Finally, we have:
20/6 - 15/6 = (20 - 15) / 6 = 5/6 books