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egoroff_w [7]
2 years ago
9

There are 10 teams in a basketball competition. Each team must play each of the other teams once. How many games will each team

play? (A) 14 (B) 9 (C) 70 (D) 63​
Mathematics
2 answers:
larisa [96]2 years ago
4 0

Two teams can be selected out of 10 teams in C(10,2) = 10!/8! 2! = 45 ways

=> If each team plays exactly 3 matches with each other team, number of matches will be 45 x 3 = 135.

:-)

KIM [24]2 years ago
4 0

Answer:

  • (B) 9

Step-by-step explanation:

Number of teams = 10

Each team play each of the other 9 teams once.

Correct choice is B

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Rewrite each equation in vertex form by completing the square. Then identify the vertex.
Cerrena [4.2K]
ANSWER

Vertex form:

y = ( {x + 4)}^{2} - 11

Vertex

V(-4,-11)

EXPLANATION

The given expression is

y = {x}^{2} + 8x + 5

We complete the square to get the vertex form.

Add and subtract half the square of the coefficient of x.

y = {x}^{2} + 8x + 16 + 5 - 16

y = ( {x + 4)}^{2} - 11

The vertex is

V(-4,-11)
7 0
3 years ago
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Natasha had d dollars. She bought two ice creams which cost x dollars each. How much money does she have left?
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M in this case stands for money, while d means dollars and x is the cost of the ice creams
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3 years ago
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State the converse, contrapositive, and inverse of each of these conditional statements a) If it snows tonight, then I will stay
marissa [1.9K]

Step-by-step explanation:

Consider the provided information.

For the condition statement p \rightarrow q or equivalent "If p then q"

  • The rule for Converse is: Interchange the two statements.
  • The rule for Inverse is: Negative both statements.
  • The rule for Contrapositive is: Negative both statements and interchange them.

Part (A) If it snows tonight, then I will stay at home.

Here p is If it snows tonight, and q is I will stay at home.

Converse: If I will stay at home then it snows tonight.

q \rightarrow p

Inverse: If it doesn't snows tonight, then I will not stay at home.

\sim p \rightarrow \sim q

Contrapositive: If I will not stay at home then it doesn't snows tonight.

\sim q \rightarrow \sim p

Part (B) I go to the beach whenever it is a sunny summer day.

Here p is I go to the beach, and q is it is a sunny summer day.

Converse: It is a sunny summer day whenever I go to the beach.

q \rightarrow p

Inverse: I don't go to the beach whenever it is not a sunny summer day.

\sim p \rightarrow \sim q

Contrapositive: It is not a sunny summer day whenever I don't go to the beach.

\sim q \rightarrow \sim p

Part (C) When I stay up late, it is necessary that I sleep until noon.

P is I sleep until noon and q is I stay up late.

Converse: If I sleep until noon, then it is necessary that i stay up late.

q \rightarrow p

Inverse: When I don't stay up late, it is necessary that I don't sleep until noon.

\sim p \rightarrow \sim q

Contrapositive: If I don't sleep until noon, then it is not necessary that i stay up late.

\sim q \rightarrow \sim p

7 0
3 years ago
I really need help, I haven't been to school In a while and I kinda forgot what to do. So If anyone is kind enough, please help
marissa [1.9K]

Answer:

P = 20x + 6y + 10

Step-by-step explanation:

The perimeter (P) of the figure is the sum of the sides , that is

P = 2x - y + 3x + 5y + 12 + 6x + 9x + 2y - 2 ← collect like terms

  = 20x + 6y + 10

3 0
2 years ago
What is the value of n In the following<br>100 : 500 = n : 5​
mrs_skeptik [129]

Step-by-step explanation:

ratio means over so,

<u>1</u><u>0</u><u>0</u><u> </u>= <u>n</u>

500 5

<u>5</u><u>0</u><u>0</u>n = 500

500

n=1

6 0
3 years ago
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