So we can start with the full of possibilities and eliminate them one by one.
The full set is {0,1,2,3,4,5,6,7,8,9}.
Now we know that any prime greater than 2 is odd as otherwise it would have 2 as a factor, so we can eliminate all of these digits that would be an even number, leaving:
{1,3,5,7,9}
We also know that any prime greater than 5 cannot be a multiple of 5 and that all numbers with 5 in the digits are a multiple of 5, so we can eliminate 5.
{1,3,7,9}
We know that 11,13,17 and 19 are all primes, so we cannot eliminate any more of these, leaving the set:
{1,3,7,9} as our answer.
10 km ÷ 2.5 hours = 4 km/h — This is Sara's record
7.5 km ÷ 2 hours = 3.75 km/h — This is Katerina's record
9.5 km ÷ 2.25 hours = 4.2 km/h — This is Candice's record
Therefore, the answer is Candice had the fastest average speed.
Answer:
The expression is not factorable with rational numbers.
Step-by-step explanation:
2 9/15 and 1 5/15 are your answers
Given the recursive formula, each terms is five time the previous one.
This means that:
is 5 times 
, which means 
- in turn, is 5 times
, so we have 
. This means that 
- Finally,
So, substituting this back gives
In general, since you have 
, each time you compute a new term you multiply by a factor of 5, so if 
, you have
