Answer:
175/3 or 58.333...
Step-by-step explanation:
This is fairly complicated but I will try to make it as simple as possible. I also apologize in advance for how impossible it is to make fractions look like fractions. I also had to insert a bunch of unnecessary parentheses just because the fractions that I can make are relatively inaccurate.
The distance between 2 cities can be represented as d.
Time is d/r if r is rate, so B->NY=d/50
Similarly,NY->B is d/70
Obviously the average speed is 2d/(d/50+d/70), this is just an average time
Now just remove the d and get (d/d)*2/(1/50+1/70)
You can now multiply by the LCM/LCM, which is 350/350.
After calculating you will get 700/12 which is 58.333...(This is how to enter into your RSM browser) Hope this helps. Sorry it is so late.
Answer:
B. Geometric sequence.

Step-by-step explanation:
We have been given that Wanahton purified a portion of water with 900 grams of contaminants. Each hour, a third of the contaminants was filtered out.
The amount of contaminants remaining after each hour would be 2/3 of the previous hour amount as 1/3 of contaminants was filtered.
Since amount is not constant, therefore, the sequence would be geometric.
We know that explicit formula for geometric sequence is in form
, where,
a = First term,
r = Common ratio.
For our given scenario
and
, so our required formula would be:

Therefore, an explicit formula for the given geometric sequence would be
.
Answer:
$120.
Step-by-step explanation:
We have been given that Libby sold $60 worth of vegetables at the farmer's market.
Jess sold 3/4th of what Libby sold. Let us find 3/4 of 60.



Therefore, Jess sold $45 worth of vegetables.
We are told that Stephanie sold 1/3rd of what Jess sold. So let us 1/3rd of 45.


Therefore Stephanie sold $15 worth of vegetables.
Now let us add amounts of money earned by Libby, Jess and Stephanie to get the total money earned by all.


Therefore, they all sell $120 worth of vegetables together.
If 9 of the sparrows is 45% of the birds in the backyard, 9/x = 45/100.
Cross multiply to get 9 * 100 = 45x; simplified is 900 = 45x or 20.
This means that there are 20 birds in the backyard. You can check this by dividing 9/20 which equals 45%