First rewrite the mixed number as an improper fraction:
-1 1/14 = -15/14
Now you have :
-3/7 / -15/14
When dividing by a fraction, flip the second fraction over and change divide to multiply:
-3/7 x -14/15
Now multiply top by top and bottom by bottom:
(-3 x -14) / ( 7 x 15) = 42/105
Simplify by diving each number by 21 to get the final answer :
2/5
Answer:
First fourth fifth
Step-by-step explanation:
Answer: 0.0476
Step-by-step explanation:
Given : Two friends and 5 other people compete with each other for first and second chair in an orchestra.
Total people in this competition= 2+5=7
By permutation , Number of ways to arrange 7 people= 7!
Also, number of ways for two friends end up as first and second chair together= 2 × 5! [ 2 ways to arrange friends on first and second chair and 5! ways to arrange others]
I.e. Required probability = 

Hence, the probability that the two friends end up as first and second chair together = 0.0476
Answer:
4594.76 USD will be in the account on Burt's 18th birthday.
Step-by-step explanation:
Since interest rate is constant in time, we can use the definition of composite interest to determine how much money will be on Burt's 18th birthday, that is:
(1)
Where:
- Initial amount, measured in US dollars.
- Current amount, measured in US dollars.
- Annual interest rate, measured in percentage.
- Time, measured in years.
If we know that
,
and
, then the money in the savings account on Burt's 18th birthday is:


4594.76 USD will be in the account on Burt's 18th birthday.