Answer:
Step-by-step explanation:
Given that :
Number of teams = 14
Each team plays every other team twice ;
Using the combination formula :
nCr = n! ÷ (n-r)! r!
14C2 = 14! ÷ (14 - 2)! 2!
14C2 = 14! ÷ (12)! 2!
14C2 = (14 * 13) ÷ 2 * 1
14C2 = 182 / 2
14C2 = 91
Hence, since they are going to be playing each other twice :
2(14C2)
2 * 91 = 182games
Answer:

Step-by-step explanation:
Let the numerator of the fraction=x
Since the denominator of a fraction is two more than the numerator.
Denominator=x+2
The fraction is therefore:

If both numerator and denominator are decreased by six, the fraction becomes:

The simplified result is 
Therefore:

Substituting x=40 into the initial fraction

Therefore, the original fraction is 
Answer:
School needs to collect at least 144 box tops each day to meet their goal.
Step-by-step explanation:
The total requirement of box tops = 2,000
The number of box tops they have already received = 872
So, the box tops left = Total number required- Number of tops received
=2,000 - 872
= 1,128 box tops are left so far.
Number of days left = 8
So, number of minimum tops needed each day = 
= 
Hence, they need to collect at least 144 box tops each day to meet their goal.
Answer:
7.2111(4 decimal places)
Step-by-step explanation:
a squared by b squared=c squared
36 + 16 is 52, so then you need to square root 52 which is 7.2111 to 4 decimal places. I hope you benefit from this. Cheers
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