A tennis tournament has 342 players. A single match involves 2 players. The winner of a match will play the winner of a match in the next round, whereas losers are eliminated from the tournament. The 2 players who have won all previous rounds play in the final game, and the winner wins the tournament. What is the total number of matches

Answers

Answer 1

Answer:

341 matches

Step-by-step explanation:

Given

[tex]Players = 342[/tex]

[tex]Match = 2\ players[/tex]

Required

Total number of matches.

The total number of matches is calculated by getting the number of matches in each round.

i.e.

[tex]Matches = \frac{Players}{2}[/tex]

So, we have:

Round 1

[tex]Matches = \frac{342}{2} = 171[/tex]

Round 2

[tex]Matches = \frac{171}{2} = 85\ R\ 1[/tex] [R 1 means remainder 1]

Round 3

[tex]Matches = \frac{85 + 1}{2} = \frac{86}{2} = 43[/tex]

[The remainder is added to each round]

Round 4

[tex]Matches = \frac{43}{2} = 21\ R\ 1[/tex]

Round 5

[tex]Matches = \frac{21+1}{2} = \frac{22}{2} = 11[/tex]

Round 6

[tex]Matches = \frac{11}{2} = 5\ R\ 1[/tex]

Round 7

[tex]Matches = \frac{5+1}{2} = \frac{6}{2} =3[/tex]

Round 8

[tex]Matches =\frac{3}{2} = 1 + 1[/tex]

Round 9

[tex]Matches = \frac{1+1}{2} =\frac{2}{2} = 1[/tex]

So, the total is:

[tex]Total = 171 + 85 + 43 +21 + 11 + 5 + 3 + 1+1[/tex]

[tex]Total = 341[/tex]


Related Questions

find the volume of the cone. use 3.14 for pi. round decimal answers to the nearest tenth. diameter= 24ft height= 8ft

Answers

Answer = 1205.76

Volume of cone formula:
1/3 x radius^2 x 3.14 x height

Radius = 12

1/3 x 12^2 x 3.14 x 8 = 1205.76

You want to buy a pet rabbit that costs ​$242. You already have ​$62 and you plan to save ​$12 per week. If w represents the number of weeks until you have enough money to buy the rabbit​, what equation could you use to find the value of​ w?


A- 62+12w = 242
B- 62 - 12w = 242
C- 12 - 62w = 242
D- 12 + 62w = 242

Answers

Answer:

A. 62 + 12w = 242

hope it can help you

Given the definitions of f(x) and g(x) below, find the value of (g o f) (-3)
f(x)=2x^2+6x+9
g(x)=3x-6

Answers

Answer:

21

Step-by-step explanation:

(g o f) (-3) = g ( f(-3) )

First, let's find f(-3):

f(x)=2x²+6x+9

f(-3)=2(-3²)+6(-3)+9

f(-3)=18-18+9

f(-3)=9

Now that we know the value of f(-3), we can sub this into g(f(-3)):

g ( f(-3) ) = g(9)

Find g(9):

g(9)=3x-6

g(9)=3(9)-6

g(9)=27-6

g(9)=21

Amal had a birthday part at the movies. It costs $30 for pizza and $7.50 per friend for the movie tickets. How many friends can Amal have at her party if she has $100?

1) Write an equation that matches this scenario.

2) Define the variable. (What variable are you using and why?)

3) Solve the equation.

Answers

Answer:

$100 or y  = 7.5x + 30

I used x as it represents the cost of each friend and can be used to solve the total number of friends possible.

She can have 9 friends at her party

Step-by-step explanation:

y = 7.5x + 30

Total Amount + Cost per Friend + Total Cost of Pizza

100 = 7.5x +30

subtract 30 from each side

70 = 7.5x

divide each side by 7.5

9.33 = x

Always round down to the nearest whole in human examples!

Which of the following ordered pairs is a solution of the system of inequalities?
y > 2x2 – 8
y ≤ –x2 – 3x + 4
Question 5 options:

A)

(4, –3)

B)

(–3, –2)

C)

(5, 0)

D)

(0, –5)

Answers

9514 1404 393

Answer:

  D)  (0, -5)

Step-by-step explanation:

A graphing calculator is helpful. It shows that the point (0, -5) is in the solution spaces of both inequalities.

__

If we consider only the case of x=0, then the solution space reduces to ...

  -8 < y ≤ 4 . . . . . the constants of the two inequalities

Here, it is easy to see that y=-5 is in the solution space.

  (0, -5) is a solution

A cafeteria worker can make 18 cheese sandwiches in 4 minutes. At that rate, how many cheese sandwiches can he make in 14 minutes?

Answers

Answer

63

Step-by-step explanation:

18*3=54

18/2=9

63

Answer:

63

Step-by-step explanation:

18 divided by 4 is 4.5

4.5 times 14 is 63

Not sure if this is correct but i hope it is

if it is 19 feet from your living room to your bedroom how many inches is it?

A. 129 inches
B. 228 inches
C. 304 inches
D. 103 inches

Answers

The answer is B 228 inches

Answer:

the answer is 228 so b

Step-by-step explanation:

i foot has 12 inches so you multiply 12 and 19 and then you get 228

hope this helped

can i get brainliest

Solve the following quadratic equation 3×^2-5=0

Answers

ANSWER:

X= radical 15/3 , radical -15/3

Decimal form:

X=1.29099444
X=-1.29099444


MARK ME BRAINLIEST PLEASE

can someone please answer this im so tired man​

Answers

Answer:

5. 1 1/2 ( c )

6. 3 7/10 ( c )

Step-by-step explanation:

i can help u with the whole test if u give me brainliest

3 7/10 I believe because; 4 4/5 - 1 2/20 = 37/10= 3 which would leave u with the denominator of 10.

Una caja contiene cinco bolas blancas, tres bolas negras y dos rojas.

¿Cuál es el minimo de bolas rojas que tendrías que añadir para que la probabilidad de
escoger una bola roja sea?
b. ¿Cuál es el mínimo de bolas negras que tendrías que añadir para que la probabilidad de
escoger una bola negra sea ?

Answers

Answer:

la primera es 10 la segunsa es 8000000000000

find the surface area to the nearest tenth

Answers

the area of the square in the bottom, 11*11=121
find area of the triangles, (11*12.3)/2
11*12.3=135.3
135.3/2=67.65<--- area of the triangle
67.65*4=270.6
aka. just adding the areas of the triangles up
67.65+67.65+67.65+67.65=270.6
121+270.6=391.6

391.6 !

There are 24 students in Bianca’s GED class. 18 of the students passed the GED On their first try. Which percent of students passed the first time?

Answers

Answer:

75%

Step-by-step explanation:

18 divided by 24 equals .75 and that equals 75 as a percent.

help me ...........................

Answers

Answer:

They will be able to.

Step-by-step explanation:

You first want to make sure the first three families have enough to eat.

[tex]6\frac{1}{2} - 2\frac{7}{8} = 3\frac{5}{8}[/tex]

For further explanation look at the first image.

[tex]3\frac{5}{8} > 2\frac{7}{8}[/tex]

Just to make sure

[tex]3\frac{5}{8} - 2\frac{7}{8}=\frac{3}{4}[/tex]

For further explanation look at the second image.

The rest of the images show a model solution.

Resuelve el problema aplicando las estrategias de solución de problemas.
• Pedro resolvió solo 15 problemas de los 75 asignados. ¿Qué fracción de los problemas resolvió? Reduce a
su mínima expresión.

Answers

ddhrsjfhffhhrry7tt5566

Show all work to factor x4 − 10x2 + 9 completely.

Answers

Answer:

(x+3)(x-3)(x+1)(x-1)

Proof:https://www.symbolab.com/solver/step-by-step/x%5E%7B4%7D-10x%5E%7B2%7D%2B9

Based on the data im the circle graph if there are 48 total students in the eighth grade, what is the total number of female eighth grade students on academic teams?

A. 48
B. 25
C. 36
D. 12

Answers

Answer:

D 12

Step-by-step explanation:

25% of 48 is 12

Please Give Brainliest

Im on a roll today since im sick

Another one plssssssssssssssssss

Answers

Answer:

3

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

I beleive it is -1 but I could be wrong. Let me know if it is and I will try and correct it

Find the slope of the tangent line to the graph of each equation at x = 1. y = x3

Answers

Answer: the answer is 3

Step-by-step explanation: The gradient (or slope) of the tangent to a curve at any particular point is given by the derivative at that point If y = x 3 then d y d x = 3 x 2 When x = 1 ⇒ d y d x = 3 So the slope equals 3

The slope of the tangent line to the graph of each equation at x = 1. y = 3x will be 3.

What is the slope?

A numerical assessment of a line's angle relative to the ground is known as the slope.

The inclination of any line, ray, or line segment is the fraction of the perpendicular to the horizontal distance between any two positions on it.

The slope is found by the relation;

[tex]\rm m = \frac{dy}{dx} \\\\ m= \frac{d(3x)}{dx} \\\\ m=3[/tex]

Hence,the slope of the tangent line to the graph of each equation at x = 1. y = 3x will be 3.

To learn more about the slope, refer to the link;

https://brainly.com/question/3605446

#SPJ2

The ages of a group of randomly selected adult females have a standard deviation of years. Assume that the ages of female statistics students have less variation than ages of females in the general​ population, so let years for the sample size calculation. How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics​ students? Assume that we want ​% confidence that the sample mean is within​ one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general​ population?

Answers

Answer:

?

Step-by-step explanation:

A player of a video game is confronted with a series of opponents and has an 80% probability of defeating each one. Success with any opponent is independent of previous encounters. Until defeated, the player continues to context opponents. 1). What is the probability that a player defeats at least three opponents in a game

Answers

Answer:

0.512 = 51.2% probability that a player defeats at least three opponents in a game

Step-by-step explanation:

Outcomes in which he defeats less than three opponents:

Lose to the first opponent: 0.2 probability.

Beats the first opponent, loses to the second: 0.8*0.2 probability

Beats the first two opponents, loses to the third: 0.8*0.8*0.2 probability:

Probability of losing before beating three opponents:

[tex]P(b < 3) = 0.2 + 0.8*0.2 + 0.8*0.8*0.2 = 0.488[/tex]

What is the probability that a player defeats at least three opponents in a game?

[tex]P(b \geq 3) = 1 - p(b < 3) = 1 - 0.488 = 0.512[/tex]

0.512 = 51.2% probability that a player defeats at least three opponents in a game

Someone please help me answer this!!

Answers

Answer:

a = 15yd is the answer.

Step-by-step explanation:

a = ?

b = 8yd

c = 17yd

By using the Pythagoras theorem,

a² + b² = c²

a² + 8² = 17²

a² + 64 = 289

a² = 289 - 64

a² = 225

a = 15

∴ a = 15yd is the length of the missing leg.

What is the point in the solution set?

Answers

The point in the solution set from the graph is (0, 0)

Solving the systems of inequalities graphically

From the question, we have the following parameters that can be used in our computation:

y < -5/2x - 2

y ≥ -1/2x + 2

Next, we plot the graph of the system of the inequalities

The graph is given

From the graph, we have solution to the system to be the shaded region

The point in the solution set from the graph is (0, 0)

Read more about inequalities at

brainly.com/question/30977554

#SPJ1

. The table below shows the cost of making a long distance call based on the length of the call. Long Distance Rates Time (minutes) Cost 5 $0.55 6 $0.62 7 $0.69 8 $0.76 9 $0.83 10 $0.90 Refer to the above table of long distance rates. Write an expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes.

Answers

An expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes is (0.55 + (n - 5) x 0.07) dollars.

Given:

Long Distance Rates Time (minutes) Cost5 $0.556 $0.627 $0.698 $0.769 $0.8310 $0.90We need to find an expression that can be used to find the cost of an n-minute long-distance call, where n is at least 5 minutes.

The cost of making a long-distance call is given for 5 minutes, 6 minutes, 7 minutes, 8 minutes, 9 minutes, and 10 minutes.

We can observe from the above table that for every increase of 1 minute, the cost increases by $0.07.

We can conclude that the cost of n minutes long-distance call is given by: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes.

Therefore, the required expression is: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes. The above expression is based on the pattern in the table provided for long-distance call rates. We can use this expression for values of n greater than or equal to 5.

For more such questions on expression, click on:

https://brainly.com/question/723406

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Please help this is geometry :)

Answers

You put the line which crosses two points that intersect with each other

How many solutions will there be to the following equation 16^2=100

Answers

None Bc the first person is correct

What is the next term in the sequence below?

0.35, 1.05, 3.15, 9.45, …
A. 15.75
B. 27.75
C. 28.35
D. 85.05

Answers

c
the answer is c because each number is the previous x3

Answer:

Its C

Step-by-step explanation:

A cylinder has a base radius of 3m and a height of 20m. What is its volume in cubic m, to the nearest tenths place ?

Answers

Answer:

are we in that same class like...

-jk-

it should be 565.5

Step-by-step explanation:

Please help now I will give you brandless

Answers

oof the picture is blocked id dont know why :/

If h(x) is the inverse of f(x), what is the value of h(f(x))?
0
1
X
f(x)

Answers

Answer:

  (c)  x

Step-by-step explanation:

You want to know the value of h(f(x)) if h(x) is the inverse of f(x).

Inverse functions

The point of an inverse function is that it gives the input value that results in the output value of the function it is the inverse of.

If f(x) has output value y, then its inverse function h(x) will give you ...

  h(y) = x

That is, h(f(x)) = x.

<95141404393>

Answer:

If h(x) is the inverse of f(x), then by definition, h(f(x)) would yield the value of x. In other words, h(f(x)) = x.

Step-by-step explanation:

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A game board with 17 spaces. Start, green, green, star, quesiton mark, question mark, star, question mark, green, cat town, green, green, star, question mark, green, green, star, green, end.
It is Marcie’s first turn to roll. Which ratio shows the theoretical probability that she will not land on a star space?

1/6
1/3
1/2
2/3



The answer is D. 2/3
no one else had the answer so here it is xx

Answers

Answer:

d

Step-by-step explanation:

Answer:

Answer D:2/3

Step-by-step explanation:

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