Answer:
n= -9
Step-by-step explanation:
-3 ( n+5 ) = 12
-3n - 15 = 12
-3n = 12+15
-3n = 27
n = -27/3
n = -9
 
        
             
        
        
        
Answer:
The area of the shaded region is 17.4 square meters.
Step-by-step explanation:
Since the shaded region in the center equals the remainders of a circle, the area of a square equals its side squared, and the area of a circle equals π times the radius squared, for To determine the area of the shaded region, the following calculations should be performed:
(9 ^ 2) - (π x (9/2) ^ 2) = X
81 - (π x 4.5 ^ 2) = X
81 - (3.141 x 4.5 ^ 2) = X
81 - 3.141 x 20.25 = X
81 - 63.6 = X
17.4 = X
Thus, the area of the shaded region is 17.4 square meters.
 
        
             
        
        
        
Greetings!
"<span>Paula is now four times the age of Lynn. Lynn will be 16 in 10 years. How old was Paula four years ago?"
If Lynn will turn sixteen in ten years, she must be 6 at the current moment:
16-10=6
Since Paula is 4 times the age of Lynn, Paula must be:
6(4)
=24
24-4
=20 
Paula was 20 years old, 4 years ago.
Hope this helps.
-Benjamin
</span>
        
             
        
        
        
<h3>Answer:</h3>
2/15
<h3>Explanation:</h3>
There are 8C2 = 28 ways to choose 2 dimes from the 8 dimes in Annie's purse. There are 21C2 = 210 ways to choose 2 coins from the 21 coins in Annie's purse.
Of the 210 ways to choose 2 coins, 28 of the choices will result in 2 dimes being chosen. The probability of choosing 2 dimes is 28/210 = 2/15.
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<em>Comment on nCk</em>
The number of ways to choose k objects from n, when order does not matter, is ...
... n!/(k!(n -k)!)
For the computations above, we have ...
... 8C2 = 8·7/(2·1) = 28
... 21C2 = 21·20/(2·1) = 210
  
        
        
        
Answer: 2 is not a function because 1 has no unique image
Step-by-step explanation: