<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:
1 mile per hour
Step-by-step explanation:
you just double it
Answer:
65 dm and 52 dm
Step-by-step explanation:
If the scale factor of the sides is k, then the scale factor of the areas is k^2.
The scale factor of the areas is (32 dm^2)/(50 dm^2) = 0.64 = k^2
The scale factor of the sides is k = \sqrt(0.64) = 0.8
The perimeters are in a ratio of 1:0.8
x + 0.8x = 117
1.8x = 117
x = 65
0.8x = 0.8(65) = 52
The perimeters are 65 dm and 52 dm.
Answer:
Distributive property
Step-by-step explanation:
The given equation is:

To solve this equation, we expand the left hand side using the distributive property to obtain:

That was exactly what Miskai did.
Therefore the property that justifies his step shown is the distributive property.
This property says that, if a, b, and c are real numbers then,

Answer:
Step-by-step explanation:
You need to divide 250 by 2.205 and get 113.398 if you estimate it your answer will be 113