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antiseptic1488 [7]
3 years ago
10

a group of 31 friends gets together to play a sport. first people must be divided into teams. each team has to exactly 4 players

, and no one can be on more than one team. how many can they make? (it is possible that not everyone can be on a team.)
Mathematics
1 answer:
azamat3 years ago
3 0
We have the following values:
 Total people: 31
 People per team: 4
 The number of teams will then be:
 N = (31) / (4)
 N = 7.75
 Round to the previous whole number.
 N = 7
 There are 7 teams.
 Answer:
 
they can make about 7 teams.
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What is the sum of all values of m that satisfy 2m (squared) -16m+8=0?
vodomira [7]
<h2>Steps:</h2>

So for this, we will be completing the square to solve for m. Firstly, subtract 8 on both sides:

2m^2-16m=-8

Next, divide both sides by 2:

m^2-8m=-4

Next, we want to make the left side of the equation a perfect square. To find the constant of this perfect square, divide the m coefficient by 2, then square the quotient. In this case:

-8 ÷ 2 = -4, (-4)² = 16

Add 16 to both sides of the equation:

m^2-8m+16=12

Next, factor the left side:

(m-4)^2=12

Next, square root both sides of the equation:

m-4=\pm \sqrt{12}

Next, add 4 to both sides of the equation:

m=4\pm \sqrt{12}

Now, while this is your answer, you can further simplify the radical using the product rule of radicals:

  • Product rule of radicals: √ab = √a × √b

√12 = √4 × √3 = 2√3.

m=4\pm 2\sqrt{3}

<h2>Answer:</h2>

In exact form, your answer is m=4\pm \sqrt{12}\ \textsf{OR}\ m=4\pm 2\sqrt{3}

In approximate form, your answers are (rounded to the hundreths) m=7.46, 0.54

6 0
3 years ago
draw a strip diagram to Model 5 hours 8 minutes minus 3 hours 12 minutes write an equation to find the difference
attashe74 [19]
You can convert everything in minutes once you've solved it you turn it back to hours and minutes....5hrs and 8min= 308min....3hrs 12min=192min....308-192=116.....116 is 1hr and 56min

8 0
3 years ago
Two dice are rolled. Determine the probability of the following: rolling a 6 or doubles
gtnhenbr [62]

Answer as an exact fraction = 5/18

Answer as an approximate decimal = 0.2778

Answer as an approximate percentage = 27.78%

============================================================

Explanation:

x = result of the first die

y = result of the second die

(x,y) paired together shows the results of both dice at the same time.

Something like (x,y) = (4,2) means we got 4 on the first die and 2 on the second die.

--------

Let's list the ways of rolling a 6

  • (1,5)
  • (2,4)
  • (3,3)
  • (4,2)
  • (5,1)

There are 5 ways to roll a 6. Each pair listed has the property x+y = 6.

--------

List all the ways of getting doubles

  • (1,1)
  • (2,2)
  • (3,3)
  • (4,4)
  • (5,5)
  • (6,6)

There are 6 ways to roll doubles. Each pair mentioned has x = y.

--------

We have 5+6 = 11 items listed above. However, there are only 10 unique pairs though because (3,3) was listed twice. So we could say 5+6-1 = 11-1 = 10.

This is out of 6*6 = 36 different ways to roll the two dice. The probability is therefore 10/36 = 5/18.

Using a calculator, 5/18 = 0.2778 = 27.78%

7 0
3 years ago
I have 4 congruent sides, but my diagonals are not congruent. What is my most specific classification?
Aleks04 [339]

Answer:

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Step-by-step explanation:

8 0
3 years ago
Solve for x, show all your work: <br> x3 = 10
Alex73 [517]
3.3333333333333333333
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8 0
3 years ago
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