Answer:
There are 3,659,040 ways he can choose the books to put on the list.
Step-by-step explanation:
There are
12 novels
8 plays
12 nonfiction.
He wants to include
5 novels
4 plays
2 nonfiction
The order in which the novels, plays and nonfictions are chosen is not important. So we use the combinations formula to solve this problem.
is the number of different combinations of x objects from a set of n elements, given by the following formula.
How many ways can he choose the books to put on the list?
Novels:
5 from a set of 12. So
Plays:
4 from a set of 8. So
Nonfiction:
2 from a set of 12
Total:
Multiplication of novels, plays and nonfiction.
There are 3,659,040 ways he can choose the books to put on the list.
All you have to do is plug in the value of X in each expression for the sides of the triangle. Then after you figure out the values for the sides of the triangle in feet. Add the sides together to find the perimeter of the triangle.
<u>Answer:</u>
<u>Step-by-step explanation:</u>
In order to find 
, we have to replace the 
in the definition of 
with 
:
=
The pens were 20% off of the original price
Hi!
We can remove the parentheses.
2m+3+4m+3=0
Simplify by combining like terms.
2m+4m+3+3=0
6m+6=0
Subtract 6 from both sides.
6m+6-6=0-6
6m=-6
Divide by 6 on both sides.
6m/6=-6/6
m=-1
The answer is m = -1
Hope this helps! :)
-Peredhel
