5 1/2 pages in 12 minutes.
11/2 pages in 12 minutes
How many pages in an hour?
well, an hour has 60 minutes
Let's write a proportion
11/2 / 12 = x/60
cross multiply
(11/2 * 60) = 12x
330 = 12x
divide both sides by 12
27.5 or 27 1/2 = x
27.5 pages per hour.
Hope this helps
Answer:
2 7/24C
Step-by-step explanation:
Start by finding the common denominator. In this case, it's 24. Next, start translation.
2/3C = 16/24C
7/8C = 21/24C
3/4C = 18/24C
Then find the sum.
16/24C + 21/24C + 18/24C = 55/24C = 2 7/24C
The answer is B. -a+4+5a-a-6
<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.
