Answer:
250
Step-by-step explanation:
If Bulan's team rows their boat at a rate of
2
minutes per
500
meters, they row at a rate of
1
minute per
250
meters. We know this because
1
minute is
1
2
of
2
minutes, and in this time, they will have to have rowed
1
2
the distance they would row in
2
minutes (
500
m).
1
2
of
500
is
250
.
So, we now have the rate in min/m.
If, every
1
minute, Bulan's team rows
250
meters, this means that every
250
meters, they have rowed for
1
minute.
Bulan's team's rowing rate in m/min is
250
m/
1
min.
Answer:
-2/3x+6
Step-by-step explanation:
<h3>
Answer: 375</h3>
=========================================
Work Shown:
a = 300 = first term
r = 60/300 = 0.2 = common ratio
We multiply each term by 0.2, aka 1/5, to get the next term.
Since -1 < r < 1 is true, we can use the infinite geometric sum formula below
S = a/(1-r)
S = 300/(1-0.2)
S = 300/0.8
S = 375
----------
As a sort of "check", we can add up partial sums like so
- 300+60 = 360
- 300+60+12 = 360+12 = 372
- 300+60+12+2.4 = 372+2.4 = 374.4
- 300+60+12+2.4+0.48 = 374.4+0.48 = 374.88
and so on. The idea is that each time we add on a new term, we should be getting closer and closer to 375. I put "check" in quotation marks because it's probably not the rigorous of checks possible. But it may give a good idea of what's going on.
----------
Side note: If the common ratio r was either r < -1 or r > 1, then the terms we add on would get larger and larger. This would mean we don't approach a single finite value with the infinite sum.
