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horrorfan [7]
2 years ago
12

A group of 31 friends gets together to pay a sport. First, people must be divided into teams. Each team has to have exactly 3 pl

ayers, and no one can be on more than one team. How many teams can they make?(It is possible that not everyone can be on a team)
Mathematics
1 answer:
Monica [59]2 years ago
5 0

Answer:

10 teams (1 remainder)

Step-by-step explanation:

if each team has 3 players and there are 30 friends, divide that and youll end up with 10 teams. you will also have 1 remaining player

You might be interested in
Factor 9x6 – 16 y completely.
sveticcg [70]

Answer:

(3x^3 - 4y^3) ( 3x^3 + 4y^3)

Step-by-step explanation:

9x^6 – 16 y^6

Rewriting as

(3x^3) ^2 - ( 4y^3) ^2

This is the difference of squares a^2 - b^2 = (a-b)(a+b)

(3x^3 - 4y^3) ( 3x^3 + 4y^3)

6 0
3 years ago
student randomly receive 1 of 4 versions(A, B, C, D) of a math test. What is the probability that at least 3 of the 5 student te
alexdok [17]

Answer:

1.2%

Step-by-step explanation:

We are given that the students receive different versions of the math namely A, B, C and D.

So, the probability that a student receives version A = \frac{1}{4}.

Thus, the probability that the student does not receive version A = 1-\frac{1}{4} = \frac{3}{4}.

So, the possibilities that at-least 3 out of 5 students receive version A are,

1) 3 receives version A and 2 does not receive version A

2) 4 receives version A and 1 does not receive version A

3) All 5 students receive version A

Then the probability that at-least 3 out of 5 students receive version A is given by,

\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\times \frac{3}{4}+\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}+\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}

= (\frac{1}{4})^3\times (\frac{3}{4})^2+(\frac{1}{4})^4\times (\frac{3}{4})+(\frac{1}{4})^5

= (\frac{1}{4})^3\times (\frac{3}{4})[\frac{3}{4}+\frac{1}{4}+(\frac{1}{4})^2]

= (\frac{3}{4^4})[1+\frac{1}{16}]

= (\frac{3}{256})[\frac{17}{16}]

= 0.01171875 × 1.0625

= 0.01245

Thus, the probability that at least 3 out of 5 students receive version A is 0.0124

So, in percent the probability is 0.0124 × 100 = 1.24%

To the nearest tenth, the required probability is 1.2%.

4 0
3 years ago
A parent is buying two types of chocolate truffles for the children. The oldest child likes white chocolate (W), the younger two
valkas [14]

Answer:

Each dark chocolate tuffle was $6.

Step-by-step explanation:

This question can be solved by a system of equations.

Four white chocolate truffles (W) cost the same as three dark chocolate truffles (D).

So 4W = 3D

The parent bought 3 white chocolate truffles(W) and 6 dark chocolate truffles (D), and spent $49.50.

3W + 6D = 49.50

4W = 3D

So

D = \frac{4W}{3}

3W + 6D = 49.50

3W + 8W = 49.50

11W = 49.5

W = 4.5

D = \frac{4W}{3} = \frac{4*4.5}{3} = 6

Each dark chocolate tuffle was $6.

6 0
3 years ago
Read 2 more answers
Tim answered all the questions on his math test but got 7 answers wrong. He received 3 points for every correct answer, and ther
Ket [755]

Answer:

35 questions

Step-by-step explanation:

First find out how many questions he got right setting up an equation.

1)3x=84.

The variable 'x' is the answers he got correct. The next step would be to divide by 3 to get the x alone. Remember, whatever you do to one side is done to the other so divide 84 by three as well

2) 3x÷3 = x.

84÷3=28.

which leads you to x=28.

Then, since he got 7 wrong, you would add the 7 to the 28 he got correct to get the final answer.

3) 28+7=35

another way you can do this is multiply numbers by three until you get to 84. The number you multiplied by is the amount he got correct, then add the correct and wrong ones together to get 35

7 0
3 years ago
Which choice would transform the rectangle to quadrant IV?
8090 [49]

Answer:

reflect over the x-axis​

Step-by-step explanation:

Transformation is the movement of  point from its initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.

If a point A(x, y) is rotated 180° clockwise about the origin the new position would be A'(-x, -y)

If a point A(x, y) is reflected over the y-axis the new position would be A'(-x, y).

If a point A(x, y) is reflected over the x-axis the new position would be A'(x, -y)

If a point A(x, y) is translated a units left the new position would be A'(x-a, y).

The rectangle has points at (2, 2), (2, 5), (7,2), (7,5). If the rectangle is reflected over the x-axis the new position would be at (2, -2), (2, -5), (7, -2), (7, -5) which is at the fourth quadrant

4 0
3 years ago
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