9514 1404 393
Answer:
(d) b/a
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)/(a^c) = a^(b-c)
__
Then the expression simplifies to ...
b^-2/(ab^-3) = b^(-2-(-3))/a = b^1/a = b/a
First let's find their current ages:
Billy + 6years = Amy
Billy + Amy = 22
Combining these equations:
Billy + (Billy + 6years) = 22
2 Billy = 16
Billy = 8
Billy + 6 = Amy
8 + 6 = Amy
Amy = 14
In 8 years Billy will be 16 and Amy will be 22. The answer is d.
Answer:
116,280 different leadership structures are possible
Step-by-step explanation:
The order is important.
For example, a Committee of John, Elisa, Laura and Rose means that John is the chairperson, Elisa the vice-chairperson, Laura the secretary and Rose the treasurer. If we exchange John and Elisa, their roles are also exchanged. This means that we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:

How many different leadership structures are possible
Permutations of 4 elements from a set of 20. So

116,280 different leadership structures are possible
Answer:1800 words
Step-by-step explanation:
Multiply how many words per minute she types by how many minutes she types. In this case 60x30=?. The easy way to do this is drop the 2 zeros and do 6x3=18. In the original equation we dropped the 2 zeros. Now we add them back on the back of the 18 and get 1800.