14.35: a baseball league has nine teams. during the season, each of the nine teams plays exactly three games with each of the other teams. what is the total number of games played?

Answers

Answer 1

Answer:

One team must play 8 games 3 times equals 24 games

One team must play 24 games

But each game uses 2 teams so there are 12 games in all

Or 9 * 24 / 2 = 108 games

Check: If there were 3 teams then one team must play

2 games 3 times  for a total of 6 times so the total of games played will be six for each team or 18 games, but each game uses 2 teams so the total of games is nine:  1-2, 2-3, 1-3 (each team has played its opponent once) - 3 * 3 = 9

T = number of teams in league

(T - 1)    1 team plays each other once

(T - 1) * T  each team has played 1 game for entire league

(T - 1) * T / 2   total games to be played for 1 game each

G *  (T - 1) * T / 2     where G is number of games


Related Questions

(-4,1) and (2,-3) find length and midpoint of segment

Answers

Step-by-step explanation:

the length is calculated via Pythagoras, as the coordinate differences and the direct connection (as the Hypotenuse) between both points create a right-angled triangle.

length² = (-4 - 2)² + (1 - -3)² = (-6)² + 4² = 36 + 16 = 52

length = sqrt(52) = sqrt(4×13) = 2×sqrt(13)

the midpoint is simply ((x1+x2)/2, (y1+y2)/2)

so,

(-4 + 2)/2 = -2/2 = -1

(1 + -3)/2 = -2/2 = -1

therefore, the midpoint is (-1, -1)

Your teacher just bought a new aquarium that is a rectangular prism. If his/her aquarium has a length 48 inches, a width of 36 inches and a height of 30 inches, what is the aquarium’s volume?

Answers

The volume of the rectangular aquarium prism will be 51840 cubic inches.

What is a rectangular prism?

A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.

Your teacher just bought a new aquarium that is a rectangular prism.

If an aquarium has a length of 48 inches, a width of 36 inches, and a height of 30 inches.

Then the volume of the aquarium will be

The volume is given as

Volume = Length x Width x Height

Then we have

Volume = 48 x 36 x 30

Volume = 51840 cubic inches

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Eric plays basketball and volleyball for a total of 95 minutes every day. he plays basketball for 25 minutes longer than he plays volleyball. part a: write a pair of linear equations to show the relationship between the number of minutes eric plays basketball (x) and the number of minutes he plays volleyball (y) every day. (5 points) part b: how much time does eric spend playing volleyball every day? show your work. (3 points) part c: is it possible for eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95 minutes and plays basketball for 25 minutes longer than he plays volleyball? explain your reasoning. (2 points)

Answers

Answer:

a-x=y+25

b-35 minutes

c-nort possible

Step-by-step explanation:

can't explain due to the fact it will take 30m to type up

Complete the table of inputs and outputs for the given function.
g(x)=3-8x

Answers

The inputs and outputs for the given function g(x) = 3 - 8x is (-3, 27), (-1, 11), (0, 3), (1, 5) and (3, 21).

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that g(x) = 3 - 8x, hence:

When x = -3; g(-3) = 3 - 8(-3) = 27

When x = -1; g(-1) = 3 - 8(-1) = 11

When x = 0; g(0) = 3 - 8(0) = 3

When x = 1; g(1) = 3 - 8(1) = 5

When x = 3; g(3) = 3 - 8(3) = 21

The inputs and outputs for the given function g(x) = 3 - 8x is (-3, 27), (-1, 11), (0, 3), (1, 5) and (3, 21).

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X • 1/5 = 60 Find out what x represents. Show work.

Answers

Answer:

x*1/5=60

5[x*1/5=60]

x=5*60

x=300

Step-by-step explanation:

-introduce the multiplicative inverse of 1/5 to the equation.

- 5*1/5 gives 1 on L.H.S

-Similarly 5*60 gives 300 on R.H.S

-finally x=300

Hello !!! please help me <3 will give brainle and 25 points please help !!!!

Answers

answer: 375

Step-by-step explanation:

panda bear caps: 25

they ordered 100 in total

25/100 = 1/4, a quarter

then you find a quarter of 1500

1500/4= 375

8- Determine the midpoint of a line segment with the endpoints (8, 0) and
(4,6)
A. (3,6)
B. (7,3)
C. (6,3)
D. (7.6)
Can someone help pls ?

Answers

Answer:

C. (6, 3)

Step-by-step explanation:

Use the midpoint formula!

Midpoint Formula

[tex]\text{midpoint} = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})[/tex]

x₁, x₂ ... x-coordinates of the endpoints

y₁, y₂ ... y-coordinates of the endpoints

Given endpoints:

(8, 0)

(4, 6)

Points are in form (x, y).

Now let's substitute the variables in the formula with our values.

[tex](\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})[/tex]

[tex](\frac{8 + 4}{2}, \frac{0+ 6}{2})[/tex]

[tex](\frac{12}{2}, \frac{6}{2})[/tex]

[tex](6, 3)[/tex]

(6, 3) is our midpoint!

Simplify this expression.
7
12
43
36
37
36
es
A)
B)
C)
D)
11
12
003
8
33

Answers

d

Step-by-step explanation:

How many tickets did Airon sell in 2018?

Answers

Answer:

11320 is the answer .hope i help you

Sally has 90 apples and she adds a double of what she subtracts. Now, she has 1/4 of 1000. How much does she add?

Answers

Answer:

I think it's 160...

Step-by-step explanation:

1/4 of 1000 is 250

250

- 90

____

160

does someone mind helping me with this question? Thank you!

Answers

Answer:

41

Step-by-step explanation:

3(4)²-2(4)+1

48-8+1

41

Answer:

y = 39

:. ? = 39

Step-by-step explanation:

let y represent ?

while x = 4

:. 3x² – 2x + 1 = y

3(4)² – 2(4) + 1 = y

3(16) – 8 + 1 = y

48 – 9 = y

39=y

20 points!!! Which one of the graphs represent the function?

Answers

Answer:

the second one, but I'm not sure if I'm right

how many terms does the expression 6a + 3ab + 2 have

Answers

Answer:

3 terms

Step-by-step explanation:

6a is a term

3ab is a term

2 is a term

What is the length of AC? (Giving 50 Points)​

Answers

5 and shout out to the one above me :)

Step-by-step explanation:

|-2|+|3|

Distance means basically adding the 2 numbers with absolute value. Absolute value is making both numbers positive.

|-2|+|3| = 5

To check this, you add -2+5 and that is equivalent to 3.

Another way:

Another way is to to count the number of times you can skip on the number line just like I show in the image below.

Answer: Hope this help you!

5

Step-by-step explanation:

|-2|+|3|

Distance means basically adding the 2 numbers with absolute value. Absolute value is making both numbers positive.

|-2|+|3| = 5

To check this, you add -2+5 and that is equivalent to 3.

Another way:

Another way is to to count the number of times you can skip on the number line just like I show in the image below.

Brainliest?

Please help!! A. 170 B. 205 C. 230 D. 105

Answers

Answer:

D. 105

Step-by-step explanation:

500-270, there's 230 total 2 head.

270-100 of one head, is 170 purple one head. 170+125 purple equals 295.

296 subtract from 500 total is 205 for total green.

205-100, 105 2 head.

Work out the percentage change to 2 decimal places when a price of £11 is decreased to £8.

Answers

Answer:

27.27%

Step-by-step explanation:

find the change in price

£11-£8=£3

percentage change=( (change in price)÷ (original price)) ×100%

(£3/£11) × 100%

=27.27%

0 belongs to what family of real numbers?
Irrational
Rational, Integer, Whole
Rational
Rational, Integer, Whole, Counting

Answers

Answer:

Rational, Integer, Whole

Step-by-step explanation:

Zero(0) can be classified as a whole number, rational number, and non-negative integer.

Zero is not a counting number because every counting starts with zero and counting zero (0) means nothing.

solve 2(x+7) +3 (x+1)

Answers

Answer:

5x +17

Step-by-step explanation:

Simplify step by step:

2( x+7 ) +3 ( x+1 )

We'll distribute:

= ( 2 ) ( x )  +  ( 2 ) ( 7 ) + ( 3 ) ( x ) + ( 3 ) ( 1 )

= 2x + 14  + 3x + 3

We'll Combine Like Terms:

= 2x + 14 + 3x + 3

= ( 2x + 3x ) + ( 14 + 3 )

= 5x + 17 Answer!

Answer:

Step by step Explanation:

2(x+7) +3(x+1)

Open the brackets (multiply outside number by the numbers and letters inside the brackets)

2x + 14 + 3x+ 3

Collect like terms (collect ones that look alike in one side )

2x + 3x + 14 + 3

Add the like terms (add the ones that look alike)

= 5x + 17 (Answer)

I hope you understand it, it's really simple just work step by step.

Good luck ✅.

10
Select the correct answer.
Which equation is equivalent to the given equation?
- 4(x - 5) + 8x = 91 - 3
OA -5x = 2
OB. 5 = 17
OC. -5x = -23
OD. 5x = -12
Recet
Next

Answers

The equation that is equivalent to the given equation is 4x = 68. No answer is correct

Equations and expressions

Equations are two expressions equated to each other. Given the equation below;

- 4(x - 5) + 8x = 91 - 3

Expand

-4x + 20. + 8x = 88

Collect the like terms

4x + 20 = 88
4x = 88 - 20

4x = 68

Hence the equation that is equivalent to the given equation is 4x = 68

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14.4.1:there are five girls in a tennis class. how many different doubles teams of two girls each can be formed from the students in the class?

Answers

The number of teams that can be formed is 10

How to determine the number of teams?

The given parameters are:

Girls (n) = 5Teammate (r) = 2

The number of teams is calculated as:

[tex]Team = ^nC_r[/tex]

So, we have:

[tex]Team = ^5C_2[/tex]

Apply the combination formula

Team = 10

Hence, the number of teams is 10

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If a +b+c+d+e= 576°, find the value
of angle f. Give your answer in degrees (°).

Answers

Answer:

f = 144 degrees

Step-by-step explanation:

Since there are 6 angles (a,b,c,d,e,f), this means that it is a 6-sided polygon. The formula to find the total sum of interior angles is (n-2)*180, n being the amount of sides.
Let's plug it into the formula: (6-2)*180 = 720
This means that a+b+c+d+e+f = 720, but we can substitute (a+b+c+d+e) for 576.
576+f=720
f = 144 degrees

Find the code!
• It has 6 different digits
• Even and odd digits alternate (note: zero is an even number)
• Digits next to each other have a difference greater than one
• When we break the code into three sets of two-digit numbers, then the first and middle are a multiple of the last What is the code? (more than 1 solution)​

Answers

Answer:

692703

816903

496307

816309

903618

Step-by-step explanation:

With even and odd digits alternating, and difference greater than one, then the last 2 digits can only be:

03, 05, 07, 09, 14, 16, 18, 25, 27, 29, 30, 36, 38, 41, 47, 49, ... any higher and we can't make multiples for the first or second pair

Let's check for multiples where even and odd digits alternate and have difference greater than one:

03 has 27, 63, 69, 81

07 has 49, 63

09 has 27, 63, 81

18 has 36, 72, 90

25 has none

27 has none ...

No others work following the rules

When we try to make full numbers that follow all the rules we find only these:

692703

816903

496307

816309

903618

:)

solve these algebraic fractions please with explanation would be great ​

Answers

Answer:

look above

Step-by-step explanation:

hope it helps

Solve5x+3=23

answers:

4

5.5

15

25​

Answers

The answer is 4.
23-3=20
5x=20
And 5x4=20
X = 4
5x + 3 = 23
5x = 23 - 3
5x = 20
X= 4

Which row of the input/output table is incorrect? y = 2 x - 3 x y Row A 3 3 Row B 5 7 Row C 7 11 Row D 10 15 Row B Row C Row A Row D

Answers

The row of the input/output is incorrect is Row D.

What is equation?

Given equation: y = 2x - 3

For, row A:  

x = 3

y = 2x - 3

So,

y = 2(3) - 3

y = 3, which is correct

For row B:

x = 5

y = 2x - 3

So,

y = 2(5) - 3

y = 7, which is also correct.

For row C:

x = 7

y = 2x - 3

So,

y = 2(7) - 3

y = 11, which is also correct.

For, row D:

x = 10

y = 2x - 3

So, y = 2(10) - 3

y  = 17, which is incorrect.

Hence, the row of the input/output is incorrect is Row D.

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Question 14 of 16
Identify the domain of the function shown in the graph

A. All positive integers
B. All real numbers
6. All positive real numbers
D. X>=0

Answers

B, because you would just assume the line continues forever on both sides.

Sahira chooses a random sample from the library and records the type of books in the chart below.

Type of Book
Number
Fantasy
10
Literature
25
Children’s
4
Nonfiction
11

Answers

The last option c is right because each book selected represents the sample from the population of full library books.

We have given that,

Sahira chooses a random sample from the library and records the type of books in the chart below.

Type of Book      Number

Fantasy                 10

Literature              25

Children’s               4

Nonfiction             11

t, showing the distribution of the number of books in a library.

Also given that Sahira chooses a random sample from the library and records the type of books in the chart below.

Sahira's sample can be said to be representative because given that books are taken at random.  

So just because books literature more we cannot say it is not representative  II option is not right, because each book was not chosen uniquely, just random books were drawn.

What is the population?

A population is defined as a group of individuals of the same species living and interbreeding within a given area. Members of a population often rely on the same resources, are subject to similar environmental constraints, and depend on the availability of other members to persist over time.

The last option c is right because each book selected represents the sample from the population of full library books.

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Jessica wants to plan where she will place furniture in her room, so she has drawn a scale model of her room in order to begin planning. the scale model is 11 inches long and 8.5 inches wide. jessica notices that the door to her room takes up 1.75 inches on the right-side wall of her room, and she realizes that she cannot place any furniture in the area that the door turns through when it is opened. if the longest wall in jessica’s actual room is 15 feet long, what is the best estimate of the area of the actual space in her room where furniture cannot be placed because of the door? 6 ft 2 6.5 ft 2 18 ft 2 9 ft 2

Answers

Answer:

  (d)  9 ft²

Step-by-step explanation:

To find the excluded area for furniture, we can find the actual size of the door, then compute the area of the semicircle that it turns through. The door size will be the product of the drawing dimension and the scale factor relating the room to the drawing.

__

door size

Room size and drawing size are proportional. This means ...

  door size / door drawing = room length / room drawing

  door size / (1.75 in) = (15 ft)/(11 in)

  door size = (15 ft)(1.75/11) = 105/44 ft ≈ 2.386 ft

__

exclusion area

The area of a circle with radius r is given by the formula ...

  A = πr²

Then the area of a semicircle (half a circle) with radius 2.386 ft will be ...

  A = 1/2π(2.386 ft)² ≈ 8.945 ft²

A good estimate of the furniture exclusion area is 9 ft².

_____

Additional comment

The scale factor is (15 ft)/(11 in) = 15/11 ft/in. Multiplying that by 7/4 in gives 105/44 ft.

find the area of the partial circle. use 3.14 for pi.

Answers

Radius=1cm=r

Thats a semi circle

Area

πr²/2π(1)²/2π/23.14/21.57cm²

what number minus 40% equals 42

Answers

Answer: 105

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

100%*42=4200

4200/40%=105

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