A - False
B - True
C - True
D - False
E - True
-----
7.84 / 2 = 3.92
Exactly 1 triangle can only be formed within another triangle.
Answer: y = 25x + 50
Explanation: the total cost if the rental is a linear function of the number of days of the rental (x). Each day costs $25, so that is the slope of the line. Since there is also a one-time fee, independent of the number of days, this amount $50 represents a vertical shift of the line on the graph, by 50. y=25x+50 is an algebraic expression of that.
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:
![n=2*7!*7!\\n=2*(7*6*5*4*3*2)^2\\n=50,803,200\ ways](https://tex.z-dn.net/?f=n%3D2%2A7%21%2A7%21%5C%5Cn%3D2%2A%287%2A6%2A5%2A4%2A3%2A2%29%5E2%5C%5Cn%3D50%2C803%2C200%5C%20ways)
There are 50,803,200 ways to set the line-up.
Answer:
$2270
Step-by-step explanation:
4years and 6 months are 4.5 years.
4.5(2000 × 3/100)
Interest = $270
Balance = 270 + 2000 = $2270