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:
Slope of line 1 = 3
Slope of line 2 = -3
Slope of line 3 = -1/3
Line 1 and 2 = perpendicular
Line 1 and 3 = perpendicular
Line 2 and 3 = perpendicular
Step-by-step explanation:
trust me its correct
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Answer:
5/4
Step-by-step explanation:
you go over 5 and up 4
Answer:
The combined value of the two cards is 
.
Step-by-step explanation:
The exponential growth function is defined as
Where, P₀ is initial value, r is growth rate and x is number of years.
The initial value of pitcher's card is $44 and the value of card is expected to increase by 3% per year. The value of pitcher's card after x years is
The initial value of catcher's card is $38 and the value of card is expected to increase by 3% per year. The value of catcher's card after x years is
The combined value of two cards is defined as
Therefore, the combined value of the two cards is .
