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:
Brother's age = 15
Sister's age = 9
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange x - 2y = - 3 into this form
Subtract x from both sides
- 2y = - x - 3 ( divide all terms by - 2 )
y =
x +
← in slope- intercept form
with m = 
• Parallel lines have equal slopes, thus
y =
x + c ← is the partial equation
To find c substitute (- 1, 2) into the partial equation
2 = -
+ c ⇒ c = 2 +
= 
y =
x +
← in slope- intercept form
Multiply through by 2
2y = x + 5 ( subtract 2y from both sides )
0 = x - 2y + 5 ( subtract 5 from both sides )
- 5 = x - 2y, thus
x - 2y = - 5 ← in standard form
I think it’s 51.6% because 8.3% interest at the rate of 6 years is just 8.3 multiplied by 6 which is 51.6