Answer:
If you do your Homework, you will hurt your teachers badly emotionally and mentally. You will break not only your teacher's heart but also their mind and soul. You will destroy your teacher's trust, respect, hope, and dreams. You will cause your teacher great sorrow and depression that might destroy their life. So... DO NOT EVER DO YOUR HOMEWORK AGAIN!!!
Answer:
286 students attended
148 non students attended
Step-by-step explanation:
Given
![Tickets = 434](https://tex.z-dn.net/?f=Tickets%20%3D%20434)
![Students = \$4.00](https://tex.z-dn.net/?f=Students%20%3D%20%5C%244.00)
![Non-Students = \$6.00](https://tex.z-dn.net/?f=Non-Students%20%3D%20%5C%246.00)
![Total = \$2032.00](https://tex.z-dn.net/?f=Total%20%3D%20%5C%242032.00)
Solving (a): Number of students
Represent students with S and non students with N
So:
--- (1)
--- (2)
Make N the subject of formula in (1)
![N = 434 - S](https://tex.z-dn.net/?f=N%20%3D%20434%20-%20S)
Substitute 434 - S for N in (2)
![4S +6(434 - S) = 2032](https://tex.z-dn.net/?f=4S%20%2B6%28434%20-%20S%29%20%3D%202032)
Open Bracket
![4S + 2604 - 6S = 2032](https://tex.z-dn.net/?f=4S%20%2B%202604%20-%206S%20%3D%202032)
Collect Like Terms
![4S - 6S = 2032 - 2604](https://tex.z-dn.net/?f=4S%20-%206S%20%3D%202032%20-%202604)
![-2S = -572](https://tex.z-dn.net/?f=-2S%20%3D%20-572)
Divide through by -2
![S = 286](https://tex.z-dn.net/?f=S%20%3D%20286)
<em>Hence; 286 students attended</em>
Solving (b):
Recall that
![N = 434 - S](https://tex.z-dn.net/?f=N%20%3D%20434%20-%20S)
![N = 434 - 286](https://tex.z-dn.net/?f=N%20%3D%20434%20-%20286)
![N = 148](https://tex.z-dn.net/?f=N%20%3D%20148)
<em>148 non students attended</em>
Answer: ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
Step-by-step explanation:
total sides = 6
p (rolling a 1) = ![\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D)
p (rolling a 2) = ![\frac{1}{6\\}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%5C%5C%7D)
Note:
or - add
and - multiply
∴ ![\frac{1}{6} +\frac{1}{6} = \frac{2}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D%20%2B%5Cfrac%7B1%7D%7B6%7D%20%3D%20%5Cfrac%7B2%7D%7B6%7D)
∴ ![\frac{2}{6} = \frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B6%7D%20%3D%20%5Cfrac%7B1%7D%7B3%7D)
hence, p (rolling a 1 or 2) = ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
Answer:
792
Step-by-step explanation:
It's a combination question. The order is of no consequence. Also the fact that there are juniors and seniors is not important either.
So the answer is
12C5
12!
====
(12 - 5)! * 5!
12 * 11 * 10 * 9 * 8
==============
5 * 4 * 3 * 2 * 1
792
Answer:
4
Step-by-step explanation:
The number of shelves must be a factor of the number of books from each category. (Because you are using multiple shelves). You are looking for the greatest amount, so you need to greatest, common factor (GCF) from each bunch of books.
GCF of 12, 16, 32 is 4.