We are told that every 9th person gets free popcorn and every 6th person gets free apple juice at the movie theater. We want to show if the 36th person is the first to get both free popcorn and apple juice.
Since every 9th gets free popcorn, then the 9th and 18th and 27th and 36th people get it. We can use numbers and show this as multiples of 9.
9, 18, 27, 36, 45, 54, ...
And we repeat it for every 6th and the free juice.
6, 12, 18, 24, 30, 36,....
Shani thinks 36 comes first, and she's wrong. 18 appears on the list before 36 as something that's common. What are we finding is the lowest common muliple of 6 and 9.
6 = 2 x 3
9 = 3 x 3
The lowest common multiple will have a 2, a 3, and a second 3 (because we don't double count). 2 x 3 x 3 = 18. This matches up to the list of multiples.
Thus, Shani is wrong that the 36th person gets both free items, as she did not account for the 18th person gettting both free items
Answer:
0.012
Step-by-step explanation:
0.004 * 3 = 0.012
Answer:
(a)
(b)
(c)43 times
Step-by-step explanation:
<u>Part A</u>
The paper's thickness = 0.05mm
When the paper is folded, its width doubles (increases by 100%).
The thickness of the paper grows exponentially and can be modeled by the function:

<u>Part B</u>
<u />
<u />
<u />
<u>Part C</u>
If the thickness of the paper, g(n)=384,472,300,000 mm
Then:

You must fold the paper 43 times to make the folded paper have a thickness that is the same as the distance from the earth to the moon.
Answer:
7/9 >4/9
Step-by-step explanation:
7 is greater than 4 so 7/9 is greater than 4/9
So, if the father is 60, his son is half his age, which would be 30.
So, to find out how old the boy was when his father was 4 times his age, you would do, 30 divided by 4 (I believe).
You then should get, 7 1/2 years old the boy is.
Hope this helps! Have a great rest of your day! c: