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<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:
Joe's Plumbing charges more per hour ($45) than Mark's Plumbing (S40)
Step-by-step explanation:
Let
t ------> the number of hours
J(t) ---->the total amount in dollars that Joe's Plumbing charges
M(t) ---->the total amount in dollars that Mark's Plumbing charges
we know that
The linear equation in slope form is equal to
where
m is the slope or rate of the linear equation
b is the y-intercept (initial value)
In this problem we have
<em>Joe's Plumbing</em>
The slope or rate is equal to
Mark<em>'s Plumbing</em>
The slope or rate is equal to
therefore
Joe's Plumbing charges more per hour ($45) than Mark's Plumbing (S40)