Answer: 142506
Step-by-step explanation:
Given : The total number of choices for people in committee = 30
The number of people need to be chosen =5
Since , here order doesn't matter, so we use combination.
The combination of r things taking from n at a time is given by :-

Now, the number of possible combinations of 5 people be chosen from a total of 30 possible people :-

Hence, the committee can be made in 142506 ways.
You haven't told me what the question is. But I put the mouse
to my forehead, closed my eyes, took a deep breath, and I could
see it shimmering in my mind's eye. It was quite fuzzy, but I think
the question is
"What score does Andrew need on the next test
in order to raise his average to 72% ?"
The whole experience drew an incredible amount of energy
out of me, and the mouse is a total wreck. So we'll just go ahead
and answer that one. I hope it's the correct question.
The average score on 4 tests is
(1/4) (the sum of all the scores) .
In order for Andrew to have a 72% average on 4 tests,
the sum of the 4 scores must be
(4) x (72%) = 288% .
Out of that total that he needs, he already has
(64% + 69% + 73%) = 206%
on the first three tests.
So in order to average 72% for all 4 tests,
he'll need to score
(288% - 206%) = 82%
on the fourth one.
[~Answer~] (3.):
Hello there! I'm Avery, and I'm here to help you! I mostly believe the answer <em>Could be: (the answer is in the screenshot. I couldn't write it, so I typed it.) </em>
<em>
</em>+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
[~Answer Explanation~]:
1:
Combine multiplied terms into a single fraction
2:
Find common denominator
3:
Combine fractions with common denominator
4:
Multiply the numbers
5:
Re-order terms so constants are on the left
6:
Combine exponents
7:
Rearrange terms
8:
Find common denominator
9:
Combine fractions with common denominator
10:
Re-order terms so constants are on the left
11:
Rearrange terms
12:
Multiply all terms by the same value to eliminate fraction denominators
13:
Cancel multiplied terms that are in the denominator
14:
Distribute
15:
Move terms to the left side
16:
Distribute
17:
Subtract the numbers
18:
Rearrange terms
19:
Use the quadratic formula
20:
Simplify
21:
Separate the equations
22:
Solve
Answer: z = 
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
[~Last Messages~]:
Okay, I really hope my answer is correct.
I am truly sorry if it's wrong :(
Have a great morning, afternoon, or night. <333
<u><em>[-!AveryIsSomeHowAlive!-}</em></u>
Solution:
1) Simplify \frac{1}{6}x to \frac{x}{6}
y=\frac{x}{6}-2
2) Add 2 to both sides
y+2=\frac{x}{6}
3) Multiply both sides by 6
(y+2)\times 6=x
4) Regroup terms
6(y+2)=x
5) Switch sides
x=6(y+2)
Done!