Answer:
50,803,200 ways
Step-by-step explanation:
In this situation, since you should alternate girl-boy or boy-girl, the line-up can either start with a boy or a girl kicking which would yield one of the two following patterns:
BGBGBGBGBGBGBG or GBGBGBGBGBGBGB.
For each of those patterns, there are 7! ways to arrange all boys and 7! ways to arrange all girls. The number of ways that a line-up can be made for one round of kicking is:

There are 50,803,200 ways to set the line-up.
Answer:
The overall change is -$7.00.
Step-by-step explanation:
If a price goes down $4.25 than it is a negative integer. Same situation if a price goes down $2.75; it is still a negative integer. These two numbers can be expressed as -$4.25 and -$2.75. Finding the overall change causes for adding. Same signs add and keep different signs subtract. -4.25+-2.75=7.00. Therefore, the overall change in price for the two days is -$7.00.
To find the answer, use this equation:
65 + 45 + x = 180
Simplify:
110 + x = 180
Subtract:
x = 70
Your unknown interior is 70
Hope this helps!! :)
Answer:
There are vertical asymptotes at x: {-1, 0, 5}
Step-by-step explanation:
It's easier (at least for some) if you write this function as
3
F(X) = ------------------
x(x-5)(x+1)
Can you now see that if x = 0, this function is undefined? Same for x = 5 and x = -1? There are vertical asymptotes at x: {-1, 0, 5}
A = √(15²-9²) = √(225-81) = √144 = 12