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: 8 + 2.25x = 35
Step-by-step explanation: When you bought the tree it was already 8 feet tall. each year you have it, which is what x represents after putting 2.25 in front of x. it would somehow equal 35. 1st year 2.25 2nd year 4.5 3rd year 6.75 4th year 9 so on and so forth.
Chad had 4 chocolate bars that were $4 each, and Tony said It is $16 total. Chad said how’d you know that? He said I’m just professional.
String a is 35 cm.....string b is 5 times as long as string a.....
so string b is 5(35) = 175 cm....both are needed....
175 + 35 = 210 cm for 1 bottle
for 17 bottles...
17 * 210 = 3570 cm <== 3570 cm are needed for 17 bottles
