Answer:
There are 364 ways of filling the offices.
Step-by-step explanation:
In this case, the order of filling of the offices does not matter, so, we can figure out the different ways of filling the offices by using the combination formula:
where n=14 (number of members)
r=3 number of offices
n!=n·(n-1)·(n-2)·...·3·2·1
Answer:
Hi!
The correct answer is d) 1 over 15 minus 1 over x equals x over 35.
Step-by-step explanation:
We know the amount of time that Byron can fill a drying rack with dishes: 15 minutes.
We know the amount of time that Byron can fill a drying rack with dishes while Emmitt is taking dishes out of the drying rack: 35 minutes.
We don't know the amount of time that Emmitt can take dishes out of the drying rack: x minutes.
So, if Byron is filling the drying rack in 15 minutes and Emmitt is taking out the dishes at x minutes, it takes 35 minutes to fill the drying rack.
<em>// multiply by 105x both sides.</em>
<em>// simplifly</em>
<em> //substract 3x and add 105 in both sides</em>
<em>// solve</em>
<em>//</em> <em>divide by 4 in both sides</em>
<em>// solve</em>
It makes sense that Byron fills the rack faster than Emmitt empties the rack.