s = 71.6
____________
0.75 - 5/8s = 44
3/4 - 5/8s = 44
3/4 - 3/4 + 5/8s = 44 + 3/4
5/8s = 44 3/4
5/8s / 5/8 = 44 3/4 / 5/8
s= (179/4 / 5/8)
s= (179/4 * 8/5)
s= (179/1 * 2/5)
s= (358/5)
s= (350/5 + 8/5)
s= (70 + 8/5)
s= (70 + 1 + 3/5)
s= 71 3/5
s= 71.6
I checked this and its correct :P Sorry about the late answer, hope this helps!
Answer:
The probability of getting the toy you want in any given cereal box is p=0.056.
Step-by-step explanation:
On average, you get the toy you want in every 18th cereal box.
This value corresponds to the mean of a geometric distribution, where it is expected that you get 17 "failures" before the first "success".
The mean of the geometic distribution, whose value is 18, can be written as:

where p is the probability of "success": getting the collector's toy you want.
Then, p has a value of 1/18≈0.056.
X + y = 24....multiply by -3
3x + 5y = 100
---------------
-3x - 3y = - 72 (result of multiplying by -3)
3x + 5y = 100
--------------add
2y = 28
y = 28/2
y = 14
x + y = 24
x + 14 = 24
x = 24 - 14
x = 10
solution is (10,14)...and x represents 3 point q's and y represents 5 point q's......so this tells me there are 10 three point q's and 14 five point q's.
That would be <u><em>1/6</em></u>. To find this, first, move the decimal two places to the right, and put that number over 100:
<u />16.666.../100
This fraction can then be simplified by dividing both sides by 16.666... to get 1/6.
In reality, the fraction 1/6 simply cannot be expressed as a decimal, but many people just put 0.1666666... because it is a pretty good approximation.
Hope this helps!
~<em>ArchimedesEleven</em>