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alexira [117]
3 years ago
11

A Basketball Tournament starts with 128 Teams.in each round half of the teams are eliminated How Many teams remain after 5 round

s
Mathematics
2 answers:
Brrunno [24]3 years ago
8 0

Total number of team in starting = 128 teams.

In each round half of the teams are eliminated.

Therefore, number of teams remain after first round = 128/2 = 64.

The number of teams remain after second round = 64/2 = 32.

The number of teams remain after third round = 32/2 = 16.

The number of teams remain after fourth round = 16/2 = 8.

The number of teams remain after fifth round = 8/2 = 4.

<h3>Therefore, after 5 rounds there remain only 4 teams.</h3>
Mazyrski [523]3 years ago
6 0

Answer: After five rounds, only 4 teams remain.

Step-by-step explanation:

at the begginning we have 128 teams, after the first round, we have half of that, this is 128/2.

after the second round, we have half of that: (128/2)/2 = 128/(2*2)

and so on, so if n is the number of rounds, the amount of theams left can be written as:

t(n) = 128/(2^n)

and for n= 5, we have:

t(5) = 128/(2^5) = 128/32 = 4

After five rounds, only 4 teams remain.

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One bricklayer can build a wall in 6 hours. Another bricklayer could build the same wall in 4 hours. If they work together, how
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Answer:

they work together, it will take 2.4 hours to build the wall.

Step-by-step explanation:

One bricklayer can build a wall in 6 hours.

One hour work = \frac{1}{6}

Another bricklayer can build the same wall in 4 hours.

One hour work = \frac{1}{4}

They can together, how long will take them to build the wall.

Let's take "t" the time taken to build the wall.

The sum of their work rate = 1 (To build the wall)

\frac{t}{6} + \frac{t}{4} = 1

Now we have to solve this equation. Take LCD of 6 and 4.

The LCD (least common divisor) of 6 and 4 is 12.

\frac{2t + 3t}{12} = 1

5t = 12*1

5t = 12

Dividing both sides by 5, we get

t = \frac{12}{5}

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So, they work together, it will take 2.4 hours to build the wall.

6 0
3 years ago
Help me solve this please please
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4 0
3 years ago
Two fraternities, Sig Ep and Ep Sig, plan to raise money jointly to benefit homeless people on Long Island. They will sell Yoda
WINSTONCH [101]

Answer:

a. Based on this information, construct a linear demand equation for Yoda vs. Alien T-shirts, and hence obtain the weekly revenue R as a function of the unit price x.

  • y = 640 - 80x ⇒ demand equation
  • xy = - 80x² + 640x ⇒ weekly revenue

b. The university administration charges the fraternities a weekly fee of $500 for use of the Student Center. Write down the monthly profit P as a function of the unit price x, and hence determine how much the fraternities should charge to obtain the largest possible weekly profit. What is the largest possible weekly profit?

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Step-by-step explanation:

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the demand equation:

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y = -80x + 400 + 240

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total weekly revenue:

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xy - 500 = -80x² + 640x - 500

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maximum weekly profit = -80($4²) + 640($4) - $500 = -$1,280 + $2,560 - $500 = $780

7 0
3 years ago
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