Answer:
The number of fiction books is <u>500</u> and non fiction books is <u>1500</u>.
Step-by-step explanation:
Given:
Total book library contains = 2000.
There are 3 times as many non fiction books as fiction books.
Now, to determine the number of non fiction books and fiction books.
Let the fiction books be 
And the non fiction books be 
Total books = 2000.
Now, to get the number of non fiction books and fiction books we put an equation:
Dividing both sides by 4 we get:
Fiction books = 500.
Non fiction books = 
Therefore, the number of fiction books is 500 and non fiction books is 1500.
QUESTION:
The code for a lock consists of 5 digits (0-9). The last number cannot be 0 or 1. How many different codes are possible.
ANSWER:
Since in this particular scenario, the order of the numbers matter, we can use the Permutation Formula:–
- P(n,r) = n!/(n−r)! where n is the number of numbers in the set and r is the subset.
Since there are 10 digits to choose from, we can assume that n = 10.
Similarly, since there are 5 numbers that need to be chosen out of the ten, we can assume that r = 5.
Now, plug these values into the formula and solve:
= 10!(10−5)!
= 10!5!
= 10⋅9⋅8⋅7⋅6
= 30240.
I think addition property of equality
Answer:
Yes
Step-by-step explanation:
We know this because the proportion can be used to find another answer.
Example:
How many feet did the elevator ascend in 0.25 minutes?
750 x
---------- = ----------
1 0.25
750(0.25) = 1x
187.5 = x
***Sorry about the format. Hope this helps!
Only the third one makes x=-1 true
