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.
Answer:
Step-by-step explanation:
So y=mx+b tells us the initial amount is b (also known as the y-intercept).
Anyways you have to pay a one time fee of 35 dollars and then it is 50 dollars per month.
Let x represent the number of months she goes to yoga.
If she goes 1 month it costs her 35+50.
If she goes 2 months it costs her 35+50+50 or just 35+50(2).
If she goes 3 months it costs her 35+50+50+50 or just 35+50(3).
If she goes x months it costs her 35+50x.
Now she only has 1325.
So we want the cost of her x months to be less than or equal to 1325 because she doesn't have more than that.
So we want
Answer:
3 2/3 square feet.
Step-by-step explanation:
You just need to multiply 6 and 4 2/3. To do this you have to change both of them into improper fractions so 6 would be 21/3 and 4 2/3 would be 14/3. If you cross cancel the 21/3 will become 7/3 and the 14/3 will become 14/1. Now you have to multiply across and you should get 98/3. To change the improper fraction into a mixed number you have to divide 98 and 3 so you can get 3 2/3. Therefore, the answer to the area of the quilt is 3 2/3 square feet.
Answer:
A=104
Step-by-step explanation:
x=14 so u plug that into angle A's equation
