Mathematics High School

There are 14 teams in a basketball league.
Each team plays every other team twice
during the season.
a) Suppose that you want to determine
how many games, in total, are played.
Suggest a simpler problem that you
could solve first.
b) How many games, in total, are played
during the season?

Answers

Answer 1

Answer:

Step-by-step explanation:210 games

14+13+12... (x2)

Answer 2

The total number of games played is 182.

What is permutation?

The number of possible arrangements for a given set is calculated mathematically using permutation, where the arrangement's order matters.

Given that, there are 14 teams and each team plays twice with the other team.

Since each team plays every other team twice, the total number of games is nothing but the permutation of 2 out of 14 which is given by:

₁₄P₂

=14!/((14-2)!)

= (14×13×12!)/ 12!

= 14×13

=182

Hence, the total number of games played is 182.

Learn more about the permutations:

https://brainly.com/question/1216161

#SPJ2

Related Questions

HELP!!BRAINLIEST AND 10 POINTS

Answers

Answer:

A

Step-by-step explanation:

I think that's da answer I hope it help ya

The ratio of collectible cards Deshawn owns to cards that Stephanie owns is 5:2 Stephanie has 36 cards how will the ratio of Deshawn's cards to Stephanie's cards change if they both sell half there cards.

Answers

Given :

The ratio of collectable cards Deshawn owns to cards that Stephanie owns is 5:2.

Stephanie has 36 cards.

To Find :

How will the ratio of Deshawn's cards to Stephanie's cards change if they both sell half there cards.

Solution :

Number of card Deshawn had, n = 5/2 × 36

n = 90 .

Number of card after they sell half there cards :

[tex]n_D = \dfrac{90}{2}=45[/tex]

[tex]n_S=\dfrac{36}{2}=18[/tex]

Therefore, new ratio is [tex]\dfrac{45}{18}=5 : 2[/tex].

So, new ratio will be same.

$1500 at 4% for 5 years

show your work please.

Answers

Answer:

$12825

Step-by-step explanation:

If the amount is 1.500 and intrest rate 4.00% and we have 5 years to invenst then that gives us $12.825

Name a line containing point V.

Answers

Answer:

Line A

Step-by-step explanation:

AAnswer:

Step-by-step explanation:

Firefighters need to use a 60-foot ladder to save a child. She is 50 feet above street
level. To the nearest tenth of a foot, how far from the bottom of the building must the
ladder be placed in order to reach the child exactly?

Answers

Answer:

The ladder must be placed at a distance of 33.2 feet from the bottom of the building

Step-by-step explanation:

From what we have here, we are looking at a right angled triangle with the hypotenuse which is the length of the ladder

The height of the child is 50 feet from ground level

So we need to get the third side of the triangle

We can get this by considering the use of Pythagoras’ theorem

This will give us the length of the third side of the triangle

From Pythagoras’ the square of the hypotenuse is equal the sum of the squares of the two other sides

Let the unknown side be x

Thus;

60^2 = 50^2 + x^2

x^2 = 60^2 - 50^2

x^2 = (60-50)(60+50)

x^2 = (10)(110)

x^2 = 1100

x = square root of 1100

x = 33.166

To the nearest tenth, this is 33.2 feet

Is the solution to a two-variable inequality always a solution of the related function? Explain.

Answers

Answer:

not always

Step-by-step explanation:

above

Find the area .
Easy points

Answers

Answer:

570

Step-by-step explanation:

Area formula: 1/2bh

A: 38 x 30 = 1140

A: 1140 x 1/2 = 570

A: 570

Answer:

570

Step-by-step explanation:

£100 will buy lunches for 80 school children for 5 days
work out the cost of buying lunch for one school child for one day


I will only mark brainest and rate a 5 star if you show working out pls and the correct answer and working out​

Answers

80 children x 5 days = 400 total lunches.

£100 / 400 lunches = £0.25 per lunch

The cost for one lunch for one student is £0.25

What is the answer to each problem? Please hurry :)

I will give Brainlest to whoever answers correctly, thank you.

Answers

Answer:

Step-by-step explanation:

Clue #6 is -5/4 (first option)

Clue #7 is 1/8 (second option)

Clue #8 is -7/6 (first option)

Clue #9 is -10/7 (last option)

Clue #10 is 10 (last option)

Please help!!!
3(x + 8) − 1 = 3x + 4

Answers

Answer:No value

Step-by-step explanation:there are no value solutions that make x a solution

Answer:

19

Step-by-step explanation:

3(x+8)-1=3x+3   3x+24-1=3x+4     3x+23=3x+4       3x+19=3x       -3x+3x=19

x=19

A rental car cost 36 for one day plus additional 0.42 per mile. Simplify the expression 36 + 0.42( 78) to determine the cost of renting a car and driving it 78 miles

A. 68.76
B.70.08
C. 93.12
D. 2,808.42

Answers

Answer:

The Answer is A

Step-by-step explanation: What you do is multiply 0.42 by 78 since that is what it costs per mile which is 32.76.

And then you add 36 and you get 68.76

identify the property of equality which yields step 4​

Answers

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[tex]Division \: \: \: Property[/tex]

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The correct answer is (( A )) .

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Help me please as soon as possible

Answers

90+31= 121
3x-1+121=120
3x+120=180
-120
3x=60
Divide by 3 on both sides
X=20
X=15


90+31+3x-1=180
121+3x-1=180
120+3x=180
3x=60
X=15

*I'll mark your answer BRAINLY*

solve the system of equations 10x+12y=380
6x+8y=244​

Answers

x=14 and y=20

(10x14)+(12x20)=380
140+240=380
(6x14)+(8x20)=244
84+160=244

HELP! ONLY HAVE 4 MINS!!!!!!1

Answers

Answer:

the slope for a is [tex]\frac{12}{3}[/tex] but in simplest form 4

the slope for b is 0

Step-by-step explanation:

hope this helped :-)

ax+by=c What is the equivalent equation

Answers

Ax plus BY equals C.

8/8, 34/34, 100/100 all equal

Answers

Answer:sndkzkz

Step-by-step explanation:

Emma

Answer:

yes

they all equal one

Step-by-step explanation:

Can somebody help plz

Answers

The slope is greater than 0 but the y intercept is less than 0.

You can see, the slope is going up, meaning greater than 0. And when x = 0, y seems to be negative so the y intercept is less than 0.

Solve this problem.

Don't answer if you don't know. NO IMPROPER ANSWERS.

Answers

Answer: 9.

Step-by-step explanation:  First take 6 and divide it by 2, and then multiply by 3. This gets to the correct answer of 9.

Answer: The answer is 9.

Step-by-step explanation: First I take 6 divided by 2 and then I multiply by 3 to get the correct answer of 9. Or I could show you an equation that looks like this from: 6÷2(1+2) to 3*3=9; therefore, 1 is incorrect answer because it has an order of operations and 9 is the correct answer because it doesn’t have an order of the operations. I hoped this helps you! :D


pls help I will give you brainliest just help please

Answers

Answer:

The answer is A & D.

Step-by-step explanation:

Hope this helps

Given: -2(5x-3/4)=-10x+3/2

-2(5x)+(-2)(-3/4)

=-10x+3/2

someone knows what number multiplied twice by the same can give me results 130!!!! Help plis plisss

Answers

Answer:

i will try to help you....

Answer:

65 i believe

Step-by-step explanation:

130/2    

= 65

and

65 x 65 = 130

2y + 14x - 7x + 9y ​

Answers

Answer:

1, - 2

Step-by-step explanation:

Answer:

7x + 11y

Explanation:

1. Subtract 7x from 14x. 2y + 7x + 9y

2. Add 2y and 9y together. 11y + 7x

The radius of Earth is 6,371.0 kilometers and the radius of Earth's Moon is 1,737.5 kilometers. What is the approximate difference in the circumferences, in kilometers, of Earth and Earth's Moon? Round your answer to the nearest tenth of a kilometer.

Answers

Answer:

Step-by-step explanation:

Circumference of a circle is expressed as;

C = 2πr

r is the radius

Given

radius of Earth r1 = 6,371.0 kilometers

the radius of Earth's Moon r2 = 1,737.5 kilometers

The difference in their circumference will be expressed as;

C = 2π(r1-r2)

C = 2π(6371.0-1737.5)

C = 2π(4633.5)

C = 2(3.14(4633.5))

C = 29,098.38km

C = 29,098.4

Hence the difference in their circumference to the nearest km is 29,098.4km

Answer:

We calculate for the circumferences of Earth and moon by using the equation,

                               C = 2πr

For Earth,

                               C = 2π(6371 km) = 40030.2 km

For Moon,

                              C = 2π(1737.5 km) = 10917.0 km

The difference between the two circumferences is 29113.2 km approximately.

If I parallel m, find the value of x and y

Answers

Answer:

x=24 y=9.8

Step-by-step explanation:

5y-23=3x

47+3x+2x+13=180

A factory can produce 18,000 toy cars in an 8 hour shift. At this rate, in how many shifts could the factory produce 90,000 toy cars? *

Answers

the factory can produce 90,000 toy cars in 5 shifts

Answer

In five shifts, the factory could produce 90,000 toy cars.

Step-by-step explanation:

Multiply 18,000 by 5 to get 90,000 cars.

1. x + 5 = 23 2. 2x + 1 = 13


3. 3x - 7 = 14

Answers

1. 18. Subtract 5 to both sides
2. 6. Subtract 1 to both sides, then divide both sides by 2.
3. 7. Add 7 to both sides, then divide both sides by 3.

There are a total of 24 people at Camp Float-Away. If 4 of the people are counselors, what is the ratio of campers to counselors?

Answers

Answer:

5:1

Step-by-step explanation:

Since there are 4 counselors, the other 20 people are campers. You divide 20 by 4 (to determine how many campers equal 1 counselor) and you get 5. So 5:1

What is the answer and method to find the quotient of 5.25/1.5

Answers

Answer: 3.5

Use long division

HELLO, plz answer this. Ming won 121 lollipops playing basketball at her school's game night. Later, She gave 48 to each of her friends. She only has 9 remaining. How many friends does she have? Write an equation for this problem and solve it with steps.

Answers

Answer:

Ming has 2 friends

(121-9)÷48= 2.3

You can´t split apart people.

First subtract 9 from 121 then divide by 48 to find how man friends Ming has.

Find the measure of angles 1,2 and 3

Answers

Answer:

??

Step-by-step explanation:

where is the question

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