It's a similar triangle so the ratios of corresponding sides should be equal which means
BC/EF = AB/DE
21/14 = AB/10
AB = 21/14 * 10 = 15 cm
The correct answer would be for 29 weeks.
Its because if for 4 weeks the profit is $700, divide 700 and 4 which gives you $175 per week. Then divide 5000 and 175 which gives you 28.5714286. So all you have to do is round it up to the nearest whole which gives you the answer: 29 weeks.
Hope that helps. :)
<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

N= Heidi's marbles
92 - n =18 (Barry's 92 marbles - whatever Heidi has = 18 marbles difference)
92 -n +n = 18 +n (I added n to each side)
92 = 18+n
92 -18 = 18-18 + n (I subtracted 18 from both sides)
74 = n Heidi has 74 marbles