Answer:
Step-by-step explanation:
mid point=((-2+16)/2,(8+4)/2)=(7,6)
The number of boxes at 3 hours from the opening can be written as:

The term 52 * 3 represents the number of boxes produced in the 3 hours, so b is the initial stock.
As the sum of the boxes produced and the initial stock is 404, b is equal to 248.
To complete the table we use the relation:

Replacing the values for x, we can find the value of y:

Answer: the initial stock is 248 boxes.
Answer:
4/81
Step-by-step explanation:
So first, the probability that she gets a 3 first is 1/9, because there is only 1 card out of 9 total cards.
Next, the probability that she gets a multiple of 2 is 4/9, because there are 4 different things she can pick (2, 4, 6, 8) out of the total 9 cards.
The last step is to multiply the two, so 1/9 * 4/9 = 4/81.
Answer:
area = 19.2325
perimeter = 19.495
Step-by-step explanation:
circular cake diameter = 14 in
radius = d / 2 = 14/2 = 7 in
cut into 8 equal slices
so area of 1 slice = Total area / 8
A = pi * r^2
= 3.14 * 7 * 7
= 3.14 * 49
= 153.86
so area of one slice = 153.86/8 = 19.2325
so for perimeter also it is 1/8 of the total cake perimeter and two times the radius
cake perimeter = P = 2*pi*r
= 2 * 3.14 * 7
= 43.96
so perimeter of slice = 2*r + 1/8 * 43.96
= 2*7 + 1/8 * 43.96
= 19.495