Answer:
6/20 = 3/10
Step-by-step explanation:
Her brother gets the first treat. There are 2 grape treats out of 3+2 = 5 total; this is a probability of 2/5.
Maggie gets the second treat. There will still be 3 cherry treats left, but only 5-1 = 4 treats remaining; this is a probability of 3/4.
Together this gives us 2/5(3/4) = (2*3)/(5*4) = 6/20 = 3/10
10% off
= $4.80
30% off
= $4.80 x 3
= $14.40
$48 + $14.40
= $62.40
The original price was $62.40
9514 1404 393
Answer:
14. 53.1°
16. 253.7°
Step-by-step explanation:
14. The measure of angle L can be found from the cosine relation:
Cos = Adjacent/Hypotenuse
cos(L) = 9/15 = 3/5
L = arccos(3/5) = 53.1° . . . arc MK
__
16. Arc MK is half of arc JK, so that arc is 106.3°. The long arc JPK is the difference between 360° and the measure of the short arc JK.
360° -106.3° = 253.7° . . . arc JPK
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:
81 mm^2
Step-by-step explanation:
Area= 3*6*9/2=81 mm^2
