Please help!!!! 15 points to whoever can help me!!!
1 answer:
You might be interested in
Answer:
O U ⊆ A ∪ B True
O U ⊆ A ∩ B False
O A ∪ B ⊆ U True
O B ⊆ U True
O A ⊆ U True
O A ∩ B ⊆ U True
Step-by-step explanation:
To prove the first part
Remember that any set is a subset of the universal set. Therefore it is true that
Now, given any it is true that
Now according to the information given initially
And then you know that
Therefore and using double inclusion
.
Now using the information just exposed
O U ⊆ A ∪ B True
O U ⊆ A ∩ B False
O A ∪ B ⊆ U True
O B ⊆ U True
O A ⊆ U True
O A ∩ B ⊆ U True
Answer:
31
Step-by-step explanation:
Let number of ten dollar bills be x .
So, number of five dollar bills = 2 x
Total amount of money in the cash register = 620 dollars
Amount of money in total cash as a result of five dollar bills = 2 x × 5 = 10 x dollars
Amount of money in total cash as a result of ten dollar bills = x × 10 = 10 x dollars
According to question ,
Total amount of money in the cash register = Amount of money in total cash as a result of five dollar bills + Amount of money in total cash as a result of ten dollar bills
⇒ 620 = 10 x + 10 x
⇒ 620 = 20 x
⇒ x = = 31
So, number of ten dollar bills = 31