Answer:
The area 2730 possible arrangements of first, second, and third place.
Step-by-step explanation:
The order in which the students finish is important. For example A, B and C is a different finishing order(outcome) than B, A and C. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:

In this question:
3 from a set of 15. So

The area 2730 possible arrangements of first, second, and third place.
Refer to the diagram shown below.
The dimensions of the outside of the picture rame are:
Width = x + 1 + 1 = x + 2 inches
Length = (x+2) + 1 + 1 = x + 4 inches.
The perimeter of the outside of the picture frame is 28 inches.
Therefore
2(x + 2) + 2(x+4) = 28
Solve for x.
2x + 4 + 2x + 8 = 28
4x + 12 = 28
4x = 16
x = 4 inches
Answer: 4 inches
Answer:
(3x+4b)(a-2y)
Step-by-step explanation:
(3ax-6xy)+(8by-4ab)
3x(a-2y) -4b(-2y+a)
(3x+4b) (a-2y)
I believe it would be 30 gallons, because there are 4 every minute and 120 minutes in two hours. And 4 cups of 4 in in 16
Answer:
B.
Step-by-step explanation:
Since we are moving the graph f(x) to the right 2 and down 1 with a reflection over the x-axis, we modify <em>a</em>, <em>h</em>, and <em>k</em> in f(x) = a(bx - h)² + k:
We would get f(x) = -(x - 2)² - 1 as our answer.