<h3>
Answer: 31 games</h3>
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Explanation:
- 32/2 = 16 games will happen in round 1. Afterward, 16 teams are left.
- 16/2 = 8 games will happen in round 2. Afterward, 8 teams are left.
- 8/2 = 4 games happen in round 3.
- 4/2 = 2 games in round 4.
- 2/2 = 1 game as the final championship.
Count the number of times you divide by two and we have five occurrences of this. So there five rounds overall.
To get the total number of games played, we add up the quotients
16+8+4+2+1 = 31
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Or as a shortcut we can simply subtract off 1 since 1+2+4+...+2^n = 2^(n+1)-1
We can write that rule as
which is equivalent to
Answer: y=6
Step-by-step explanation:
The given number is y.
According to the question,
Step 1 . subtracts three from the number (y-3), then doubles it
i.e. Final number = 2(y-3)
Step 2 . subtracts three again i.e. (2(y-3)-3), and doubles the number again
i.e. Final result = 2(2(y-3)-3)
If the result is his original number y, then
2(2(y-3)-3) =y
⇒ 2(2y-6-3)=y [ using distributive property]
⇒ 2(2y-9)=y
⇒ 2(2y)-2(9)=y [ using distributive property]
⇒ 4y -18=y
⇒ 4y -y= 18
⇒ 3y= 18
⇒ y= 6 [Divide both sides by 3]
Hence, y=6
7. the formula for octagon is a=2(1+radical2)s^2
s=4
a=about 77.25
8.
Answer:
I think the answer is Option D, 135 degrees.
Since the angles of all of the octagon combined is 1080, divide that by 8 to get 135 which means that all 8 angles are 135 degrees.
Answer:
So we have this equation:
2 (3x-2) - 4x = 5x + 2
You can first operate the parenthesis, knowing that a(b+c) = ab + ac (conmutative)
2(3x-2) - 4x = 5x + 2
2 * 3x - 2 * 2 - 4x = 5x + 2
6x - 4 -4x = 5x + 2
Now, we can operate the x:
6x - 4 -4x = 5x + 2
2x - 4 = 5x + 2
And sum 4 in both sides and substract 5x in both too.
2x - 4 = 5x +2
2x - 4 + 4 - 5x' = 5x + 2 + 4 -5x
Now we can operate:
-3x = 6
And we can divide by -3 the two sides...
x = 6/-3 = -2
