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Genrish500
2 months ago
12

There are 13 teams in a tournament. Each team is to play with each other only once. What is the minimum number of days can they

all play without any team playing more than one game a day
Mathematics
1 answer:
Leona [12.6K]2 months ago
6 0
For team one, they have to compete against 12 different teams, which amounts to 12 days of play.

Team two, which has already played team one, will only need to participate in 11 more days.

Team three has already faced teams one and two, leaving them with 10 additional days.

Continuing this pattern results in a total of 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 78 days.

Alternatively, you can calculate the number of unique matches as 13*12 / 2! = 78.

Another way is by calculating combinations of 13 taken 2 at a time: 13C2 = 13! / [(2!)(11!)] = 13*12*11! /(2!*11!)= 13*12/2 = 78.
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Martin has 5/6 of a pizza. Liam has 4 times as much pizza as Martin
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Answer:

The distance equals 816 km.

Step-by-step explanation:

5/6 multiplied by 4/1 equals 20/6.

Dividing 20/6 by 2 results in 3 1/3.

5 0
2 months ago
−7x−50≤−1 AND−6x+70>−2
PIT_PIT [12445]

Answer:

-7\geq x and [-7,12) expressed in interval notation.

Step-by-step explanation:

A compound inequality -7x-50\leq -1\text{ and }-6x+70>-2 has been provided. Our task is to determine the solution for this inequality.

Initially, we will address each inequality independently, followed by merging the findings by combining the overlapping intervals.

-7x-50\leq -1

-7x-50+50\leq -1+50

-7x\leq 49

By dividing with a negative number, it is necessary to reverse the inequality sign:

\frac{-7x}{-7}\geq \frac{49}{-7}

x\geq -7

-6x+70>-2

-6x+70-70>-2-70

-6x>-72

Again, dividing by a negative requires flipping the inequality sign:

\frac{-6x}{-6}

x

In combining both intervals, we will arrive at:

-7\geq x

Thus, the solution for the inequality provided is -7\geq x and [-7,12) in interval notation.

7 0
3 months ago
Which of the following is most likely the next step in the series?
Zina [12379]

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B. The triangle.

Step-by-step explanation:

The number of sides decreases by one as you progress down the list.

7 0
2 months ago
Read 2 more answers
answer to three friends each create 4 bags of starter bread dough. after ten days, each of those four bags is then divided into
tester [12383]
The solution is 20 days, found as follows:
Each of the three friends initially makes 4 bags of dough. After 10 days, each of these bags is split into 4 new bags:
3 friends × 4 bags = 12 bags, and 12 bags × 4 = 48 bags
Then in the following 10 days, 48 bags are again divided into 4 bags each:
48 × 4 = 192 bags
Adding the periods: 10 days + 10 days = 20 days
Therefore, 192 bags are created after 20 days.
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3 months ago
the total reimbursement (in dollars) for driving a company car m miles can be modeled by the function f(x) = 0.45m +5. After a p
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The y-intercept is now 12.5, and the slope has increased to 0.5625. After the policy adjustment, an additional $5 was included, followed by multiplying the total amount by 1.25.
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1 month ago
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