Answer:
4/11 and 2/11
Step-by-step explanation:
The total number of letters in the word mathematics is 11, making the denominator 11. There are 4 vowels and 2 Ts. That is the number of possibilities for each one.
Answer:
-4
Step-by-step explanation:
A company is selling books. It has to pay $500 to start printing the books, and once they have done that, the books sell at $14.99 each. How many books must they sell to make a profit?
First we would model an equation. X will be the amount of books sold, and Y will be profits (in dollars obv). They had to pay $500 before they could start selling, so we must account for that too.
This equation would be

because for every book sold, X increases by 1, increasing Y by 14.99
The answer would be 34 books sold in order to turn a profit. (500/14.99=
Answer: 325
Explanation:
Let the number of adult tickets be <em>x </em>
( since there are an unknown amount of tickets for adults, we already know how many student tickets there are)
Let the number of student tickets be <em>x+</em>60
710=<em>x+x</em>+60
710=2x+60
-60 -60
650=2x
650/2
= 325
Adult tickets=325
Student tickets=385
9) pi/3 = 180 /3 = 60⁰
the other angle = 90-60=30⁰
10) 2pi/9 = 360/9 = 40⁰
the other angle = 90+40=130⁰
11) arc length = 2pi * r * (θ/360)
= 2pi * 16 * (270/360)
= 75.4 km
12)arc length = 2pi * r * (θ/360)
3 * 180/4 = 135⁰
135/360 =0.375
2pi * 6 * 0.375 =14.13 in
13) arc length = 2pi * r * (θ/360)
= 9 *2pi *(255/360) =40.05 mi
14)arc length = 2pi * r * (θ/360)
=23.56 mi