A tennis tournament starts with 117 players. If a player is eliminated after losing three matches, what is the least possible number of matches played when four players are left?

Answers

Answer 1

The least possible number of matches played when 4 players are left is 37 matches.

The given parameters;

total number of players in the tournament = 117 playersnumber of players to be eliminated after losing 3 matches = 1let the number of matches played when 4 players are left = n

The least possible number of matches played when 4 players are left is calculated as;

117 - 1(3n) = 4

117 - 3n = 4

3n = 117 - 4

3n = 113

divide both sides by 3

[tex]n = \frac{113}{3} \\\\n = 37.67 \\\\n \approx 37 \ matches[/tex]

Thus, the least possible number of matches played when 4 players are left is 37 matches.

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Related Questions

PLEASE HELP!

What percent of the circle is shaded?
Can you also explain how to get the answer?

Answers

Answer:

C

Step-by-step explanation:

The answer is 30% because 2/5 of the circle is shaded.

3x+4y+5z+2x-2y need help please

Answers

Answer:

5x + 2y + 5z

Step-by-step explanation:

Step 1: Write out expression

3x + 4y + 5z + 2x - 2y

Step 2: Combine like terms (x)

5x + 4y + 5z - 2y

Step 3: Combine like terms (y)

5x + 2y + 5z

The answer is 5x+2y+5z

That’s the answer because:
You have to combine like terms to simplify so do:
3x+2x=5x
4y+-2y=2y
5z is the only z variable
So you get
5x+2y+5z

Bernice rectangle workbook is 2/3 foot width and 5/6 foot long.what is the area of the page in her workbook.

Answers

Answer:

As a:

Fraction: 11/20

Decimal: 0.55

Percentage: 55%

Step-by-step explanation:

Which sum or difference is equivalent to the following expression? Start Fraction 5 minus 3 x over 5 End Fraction

Answers

Steps to solve:

5-3x/5

~Divide the numerator to the denominator

-3/5x + 1

Best of Luck!

a machinist can produce 114 parts in 6 minutes. at this rate, how many parts can the machinist produce in 15 minutes ​

Answers

Answer:

285!

Step-by-step explanation:

First you have to find out how may parts are produced in a single minute.

We know that 114 parts are produced in 6 minutes so to find how may parts are made in one minute divide 114 by 6 and get an answer of 19

114÷6=19

Now to find how may parts are produced in 15 minutes multiply 19 (number of parts produdced in one minute) by 15 and get an answer of 285!

19×15=285

Hope this helped! :)

Can someone please help me understand this question!

Answers

Answer:

  -1

Step-by-step explanation:

"Evaluate the expression for ..." means "put these numbers where these variables are and do the arithmetic."

  [tex]\sqrt{b}+\dfrac{25}{a}=\sqrt{16}+\dfrac{25}{-5}\\\\=4-5=\boxed{-1}[/tex]

ABC is an isosceles triangle. Solve for x. In your final answer, include all of the necessary calculations. You may include a sketch as part of your calculations.

Answers

Answer:

x= 105

Step-by-step explanation:

Let the unknown angle at the base be y.  We know the base angles of an isosceles triangle are the same

The sum of the angles of the triangles are

30 + y +y = 180

30 + 2y = 180

2y = 180-30

2y = 150

y = 75

We know that x+y = 180 since it forms a straight line

x+75 =180

x = 180-75

x = 105

Answer:The abc conjecture It is stated in terms of three positive integers, a, b and c (hence the name) that are relatively prime and satisfy a + b = c. So a conjecture is like an educated guess.

The library has 1,880 magazines. Each bin holds 8 magazines. How many bins does the
library need to hold all of its magazines?
bins
Submit
I don't kno

Answers

235 it’s correct good luck

What is the value of x?

Answers

Answer:

x=70

Step-by-step explanation:

180-45=2x-5

135=2x-5

135+5=2x

140=2x

x=70

the value of x would be 70

1. A student in an algebra course has test scores of 75, 82, 71, and 84. What score on the next test will raise the student’s average to 80?

Answers

Hey there! I'm happy to help!

We have 5 numbers that will give us an average score of 80.

75,82,71,84,x

What we do is add these all up and divide by 5 to get 80. Let's go backwards to find x.

We multiply by 5.

80(5)=400

We subtract all of the numbers except for x.

400-75-82-71-84=88

Therefore, the score on the next test has to be 88 to have the student's average be 80.

Have a wonderful day! :D

What is the area
this trapezoid?
6 m
1 m
3 m
5 m
o
A. 14 m2
O
B. 18 m2
O
C. 21 m2
O
D. 35 m2

Answers

Answer:

Area of the trapezoid = 18 m²

Step-by-step explanation:

Formula to calculate the area of a trapezoid is,

Area of a trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

Where [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel sides of the trapezoid

And h = distance between the parallel sides

From the figure attached,

[tex]b_1[/tex] = 5 m

[tex]b_2[/tex] = (6 + 1) = 7 m

h = 3 m

By substituting these values in the formula,

Area of a trapezoid = [tex]\frac{1}{2}(5+7)3[/tex]

                                 = 6 × 3

                                 = 18 m²

Therefore, area of the given trapezoid is 18 m².

Simplify 4/8 divided by 3/-8 A: -32/21 B: -3/14 C: 3/14 D: 32/21

Answers

Answer:

- 1 1/3 which is none of the answers loll

Answer:

-1 and 1/3

Step-by-step explanation: negative one and one third

Brainliest is given to the correct answer!

As of July 2012, the world record for the 100 meter dash is held by Usain Bolt of Jamaica, who finished such a race in 9.572 seconds in Berlin, Germany, on August 16, 2009. Calculate Bolt’s average race speed in miles per hour. Show all work. Use a conversion rate of 1 mi ~ 1.609 km. Round to three decimal places.

Answers

Answer:

v = 23.370 mph

Step-by-step explanation:

It is given that,

The world record for the 100 meter dash is finished in 9.572 seconds in Berlin. We need to find the Bolt’s average race speed in miles per hour.

We know that,

1 mile = 1.609 km

or

1 mile = 1609.34 m

⇒ 100 m = 0.0621 miles

1 hour = 3600 seconds

⇒ 1 second = (1/3600) hour

Average speed = distance/time

So,

[tex]v=\dfrac{\dfrac{100}{1609.34 }\text{miles}}{\dfrac{9.572}{3600}\ \text{hour}}\\\\v=23.36963\ \text{mph}[/tex]

or

v = 23.370 mph

Hence, Bolt’s average race speed is 23.370 mph.

Round 874.902237102 to the nearest ten-thousandth.

Answers

Answer:

874.9022

hope this helps

The given decimal rounded to the nearest ten-thousandth is 874.9022.

What is the rounding off numbers?

Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.

The given decimal number is 874.902237102.

The decimal is rounded to the nearest ten-thousandth is 874.9022.

Therefore, the given decimal rounded to the nearest ten-thousandth is 874.9022.

To learn more about the rounding off numbers visit:

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If an original conditional statement is represented using pq, which represents the converse?
~p -> ~q
~q -> ~p
q -> p
p -> q​

Answers

Answer: q -> p

Step-by-step explanation:

just took the test

Ria was given $42.30 to babysit for 2.5 hours. How much did she get for one hour?

Answers

Answer:

$16.92

Step-by-step explanation:

Just divide 42.30 by 2.5 and it will give you the answer

Samantha spent $22.50 on 9 gallons of gas. What was the price per gallon?

Answers

2.50 is how each gallon cost because if you multiply 2.50 times the amount of gallons (9) it’s 22.50 in total

Find Scott's monthly payment.

Answers

What’s the math problem?

1. Let n be the number (in thousands) of fans who attend a Foo Fighiers concert. What does n = 25 mean in this situation?​

Answers

Answer: 25,000 fans attend a Foo Fighters concert

Step-by-step explanation:

25 x 1000 = 25000

it means that 25,000 people attended the foo fighters concert.

Subtract 42.5 – 7.32

Answers

Answer:35.18

Step-by-step explanation:

Did this 7 years ago

The required value of 42.5 – 7.32 is 35.18.

Subtraction of 7.32 from 42.5 to be determined

What is subtraction?

Subtraction is defined as the value that should be reduced to the subtraction value.

Here, subtraction of 7.32 from 42.5,
⇒ 42.5 - 7.32
= 35.18

Thus, the required value of 42.5 – 7.32 is 35.18.

Learn more about subtraction here:
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Consider the function f(x) = round(x), which rounds the input, x, to the nearest integer. Is this function one-to-one? Explain or justify your answer.

Answers

Answer:

No, it's not a one-to-one function

Step-by-step explanation:

Given

[tex]f(x) = round(x)[/tex]

Required

Determine if this function is one-to-one

I'll answer this question using the following illustrations;

Assume x = 4.6

[tex]f(x) = round(x)[/tex] would be

[tex]f(4.6) = round(4.6)[/tex]

[tex]f(4.6) = 5[/tex]

Also assume x = 4.8

[tex]f(x) = round(x)[/tex] would be

[tex]f(4.8) = round(4.8)[/tex]

[tex]f(4.8) = 5[/tex]

More generally;

[tex]4.5 \leq\ x\leq\5.4[/tex]

Would result in:

[tex]f(x) = 5[/tex]

Since, there's a always a possibility of f(x) having one value for various values of input x, then we can conclude that the function is not a one-to-one function

The function f(x) = round(x) is not one - to - one since different input values of X could yield the same output.

One - to - one functions refers to functions which yield a different output for every input value given.

Since, the function rounds input values of x to the nearest integer ;

This means that ; some input values of x would produce similar output.

For instance :

Given that x = 1.4

f(x) = round(x)

f(1.4) = round(1.4)

Output = 1 ( nearest integer)

Thus output will be the same for all values of x greater than equal to 1 and less than 1.5 (1 ≤ x < 1.5)

Since, different input values of X could yield the same the output, then the function is not one - to - one.

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What is the correct definition of the word bias? a. particular point of view b. a personal or unreasoned judgment c. to study in detail, or examine critically d. the capability of being believed; trustworthiness​

Answers

Answer:

b. a personal or unreasoned judgment

Step-by-step explanation:

The answer is B because bias is basically something or someone that you favor over anything or anyone else. Or what you belving in your own opion.

As an example, our strong bias in favor for the idea, or a test biased towards people who are excellent at math.

Answer:

D

Step-by-step explanation:

if you don't believe me look up the definition

Find projvu and projuv. Use the Euclidean inner product. u = (1, −1, −2), v = (1, 1, 2)(a) projvu(b) projuv

Answers

Answer:

Step-by-step explanation:

Given the vectors  u = (1, −1, −2) and v = (1, 1, 2),

projection of u on v is expressed as [tex]proj_v u = \dfrac{u*v}{|v|^2}*v[/tex]

u.v = (1, −1, −2).(1, 1, 2)

u.v = 1(1)+(-1)(1)+(-2)(2)

u.v = 1-1-4

u.v = -4

|v| = √1²+1²+ 2²

|v| = √1+1+4

|v| = √6

|v|² = (√6)²

|v|² = 6

[tex]proj_v u = \dfrac{-4}{6}*(1,1,2)\\proj_v u = (\dfrac{-4}{6}, \dfrac{-4}{6}, \dfrac{-4}{3} )[/tex]

Similarly for projection of v on u;

[tex]proj_u v = \dfrac{u*v}{|u|^2}*u[/tex]

|u| = √1²+(-1)²+ (-2)²

|u| = √1+1+4

|u| = √6

|u|² = (√6)²

|u|² = 6

[tex]proj_u v = \dfrac{-4}{6}*(1,-1,-2)\\proj_u v = (\dfrac{-4}{6}, \dfrac{4}{6}, \dfrac{4}{3} )[/tex]

If g(x)=2/3(x-4)^2, find x when g(x)=8

Answers

8 = 2/3(x - 4)^2

Take the sqrt of both sides

Sqrt(8) = 2/3(x - 4)

Divide each side by 2/3

(3 * sqrt(2)) = x - 4

Add 4 to both sides

(3 * sqrt(2)) + 4 = x

Write 3.79 as a mixed number.

Answers

Answer:

379/100

Step-by-step explanation:

IS THIS IT???

First convert 3.79 to a whole number. Move the decimal 2 times to the right so the denominator would be 100
Convert it into a fraction 379/100
Now simplify
so it would be 3 79/100

Simplify the cube root in simplest radical form.
9x374
Please help

Answers

Answer:

D. [tex]xy\sqrt[3]{9y}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{9x^3y^4}[/tex]

[tex]\sqrt[3]{9}\sqrt[3]{x^3}\sqrt[3]{y^4}[/tex]

The [tex]\sqrt[3]{x^3}[/tex] cancels out to become x:

[tex]\sqrt[3]{9}x\sqrt[3]{y^4}[/tex]

Split the [tex]y^4=y*y^3[/tex]

[tex]\sqrt[3]{9}x\sqrt[3]{y^3}\sqrt[3]{y^1}[/tex]

[tex]\sqrt[3]{y^3} =y[/tex]

[tex]xy\sqrt[3]{9} \sqrt[3]{y}[/tex]

Put the cube root of y and cube root of 9 together:

[tex]xy\sqrt[3]{9y}[/tex]

13 5 6 3 2. If g(x) = 16 for the function g(x) = 3x - 2, solve for the value of x.
need help solving please step by step ​

Answers

Replace g(x) with 16:

16 = 3x-2

Add 2 to both sides:

18 = 3x

Divide both sides by 3:

X = 18/3

X = 6

The figures are similar. Find x

Answers

Answer: x=6.67

Step-by-step explanation:

Since these parallelograms are similar, we can use proportions to solve for x.

[tex]\frac{15}{9} =\frac{x}{4}[/tex]              [cross multiply]

[tex]60=9x[/tex]            [divide both sides by 9]

[tex]x=6.67[/tex]

Now, we know that x=6.67.

Answer:

20/3

Step-by-step explanation:

9/4=15/x

cross multiply and get:

9x=15x4

9x=60

divide both sides by 9 so

x=60/9 which when simplified is equal to 20/3

6.7z = 5.2z + 12.3 z=​

Answers

Answer:

z = 8.2

Step-by-step explanation:

6.7z = 5.2z + 12.3

combine like terms by subtracting 5.2z from both sides

1.5z = 12.3

divide by 1.5

z = 8.2

Answer:

8.2

Step-by-step explanation:

5.2z+12.3=6.7z

12.3=6.7z-5.2z

12.3=1.5z

z=8.2

If your expression contains square roots, during which step of PEMDAS do you solve them? A parentheses B exponents C multiplication D division

Answers

Answer:

B

Step-by-step explanation:

Roots can also be represented as indicies (exponents) and thus should be treated like them. For example, square root could also be written as exponent 1/2.

When dealing with square roots in a equation, PEMDAS calls for this to be solved when you do B. Exponents

The root of a number is that number expressed exponentially by the root in inverted form. In other words, when you take something to its square root, you would be taking it to the inverse of 2 which is 1/2.

For instance:

√4 = 2 = 4¹/²

This means that you can then solve the square root when you deal with exponents which is the second step.

In conclusion, if you see an expression with square roots, PEMDAS allows you to solve it as an exponent.

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