Answer:
They can be seated in 120 differents ways.
Step-by-step explanation:
Taking into account that there are 3 couples and every couple has an specific way to sit, for simplify the exercise, every couple is going to act like 1 option and it's going to occupy 1 Place. If this happens we just need to organize 5 options (3 couples and 2 singles) in 5 Places (3 for a couple and 2 for the singles)
It means that now there are just 5 Places in the row and 5 options to organized. So the number of ways can be calculated using a rule of multiplication as:
<u> 5 </u>*<u> 4 </u>* <u> 3 </u> * <u> 2 </u> * <u> 1 </u> = 120
1st place 2nd Place 3rd place 4th Place 5th Place
Because we have 5 options for the 1st Place, the three couples and the 2 singles. Then, 4 options for the second Place, 3 options for the third place, 2 for the fourth place and 1 option for the 5th place.
Finally, they can be seated in 120 differents ways.
2(2/5+1/5)=2•3/5=6/5=1 1/5
Answer is C
Answer:
9
Step-by-step explanation:
you want the trinomial (x*x - 6x + __ ) to be written as a binomial squared.
So we would need to realize that the constant would be equal to (-6/2)^2 =(-3)^2 = 9
We have completed the square.
f(x) = 4*( x - 3)^2 + 20 is now in Vertex Form
The denominators are being added by 4,
11 + 4 = 15
15 + 4 = 19
19 + 4 = 23
The next number should be
23 + 4 =
1/27