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Mathematics

2 answers:

SCORPION-xisa [38]2 years ago

8 0

$60 to $39 is a 35% decrease.

Solnce55 [7]2 years ago

6 0

35 percent. You take 60 and subtract 39 from it. Then you will be left with 21, 21 divided by 60 would give you the percentage which is 35.

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16x − 7 ≤ −71<br><br> find x

My name is Ann [436]

16x-7≤-71
Add 7 to both sides
16x≤-64
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x≤ -4

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3 years ago

Which ratio is equivalent to 4:10?<br> A:2/5<br> B.8/10<br> C:12/16<br> D:16/10

Dmitriy789 [7]

Answer:

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5 0

2 years ago

Read 2 more answers

There are 8 tennis players in a round robin tournament, which means each team will play every other team once. How many matches

Aliun [14]

<h3>Answer: 28</h3>

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Explanation:

Method 1

Imagine a table with 8 rows and 8 columns to represent all possible match-ups. You can actually draw out this table or just think of it as a thought experiment.

There are 8*8 = 64 entries in the table. Along the northwest diagonal, we have each team pair up with itself. This is of course silly and impossible. We cross off this entire diagonal so we drop to 64-8 = 56 entries.

Then notice that the lower left corner is a mirror copy of the upper right corner. A match-up like AB is the same as BA. So we must divide by 2 to get 56/2 = 28 different matches.

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Method 2

There are 8 selections for the first slot, and 8-1 = 7 selections for the second slot. We have 8*7 = 56 permutations and 56/2 = 28 combinations.

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Method 3

Use the nCr combination formula with n = 8 and r = 2

$n C r = \frac{n!}{r!(n-r)!}\\\\8 C 2 = \frac{8!}{2!*(8-2)!}\\\\8 C 2 = \frac{8!}{2!*6!}\\\\8 C 2 = \frac{8*7*6!}{2!*6!}\\\\ 8 C 2 = \frac{8*7}{2!}\\\\ 8 C 2 = \frac{8*7}{2*1}\\\\ 8 C 2 = \frac{56}{2}\\\\ 8 C 2 = 28\\\\$