Hello!
We know our denominator is 60, because that is the total amount of cities. Now, we must find our numerator:
3 + 29 = 32
Fraction: 32/60
You can simplify this by dividing both the numerator and denominator by 4:
32 ÷ 4 = 8 60 ÷ 4 = 15
FRACTION (SIMPLIFIED): 8/15
The rectangle that has area 400 has width 10, so its length is 40.
A = LW; L = A/W = 400/10 = 40
The length is 10 + 0.2 = 10.2. The width is 10 + 2 = 12
The multiplication is 10.2 * 12
40.2 * 12 = 40 * 10 + 0.2 * 10 + 40 * 2 + 0.2 * 2
40.2 * 12 = 400 + 2 + 80 + 0.4
40.2 * 12 = 482.4
Answer: There are 495 possible different sets of answers the could contain exactly 8 correct answers of false.
Basically, we are looking for the number of different ways of selecting 8 objects out of a set of 12 objects. Our objects are answers of false and the set is the test.
This is a combination problem. The formula would be:
12! / (8! x 4!) = 495
A recursive definition for the sequence shown above can be x = n-5.
21 - 5 = 16
16 - 5 = 11
11 - 5 = 6
and so on...
The number sequence has a difference of 5 in each of the values before and after them.
