the number of elements in the union of the A sets is:5(30)−rAwhere r is the number of repeats.Likewise the number of elements in the B sets is:3n−rB
Each element in the union (in S) is repeated 10 times in A, which means if x was the real number of elements in A (not counting repeats) then 9 out of those 10 should be thrown away, or 9x. Likewise on the B side, 8x of those elements should be thrown away. so now we have:150−9x=3n−8x⟺150−x=3n⟺50−x3=n
Now, to figure out what x is, we need to use the fact that the union of a group of sets contains every member of each set. if every element in S is repeated 10 times, that means every element in the union of the A's is repeated 10 times. This means that:150 /10=15is the number of elements in the the A's without repeats counted (same for the Bs as well).So now we have:50−15 /3=n⟺n=45
Answer:
Melanie's account balance now is $3182.87.
Step-by-step explanation:
Given:
Amount of money in her account = $3106.12
Amount deposited on Thursday = $85
Amount spent for lunch on Friday = $8.25
We need to find the remaining balance in Melanie's account.
Solution:
Now we know that;
Remaining balance in her account is equal to Amount of money in her account plus Amount deposited on Thursday minus Amount spent for lunch on Friday.
framing in equation form we get;
Remaining balance in her account = 
Hence Melanie's account balance now is $3182.87.
Answer:
-10/-12
Step-by-step explanation:
9514 1404 393
Answer:
100°
Step-by-step explanation:
Angle AKC is a vertical angle with angle BKD, so has the same measure. Since K is the center of the circle, arc AC has the same measure as angle AKC: 100°.
__
A diagram may help.