Answer:
The first of the rows should go with each other. The 36/125^3 does with the second one. The 6/125^3 goes to the third one. The last row goes with 8/125 cm^3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Charging by the quarter mile is for purpose of making that particular taxi service seem cheaper than the others when they post a per mile charge. If this taxi company is charging .50 per 1/4 mile, they are charging $2 per mile. So we will base our equation on the per mile charge, not the per quarter-mile charge. If x is the number of mile driven (our uknown), and we have a flat fee of $2.50 regardless of how many miles we are driven, the cost function in terms of miles is
C(x) = 2x + 2.50
If we are driven 5 miles, then
C(5) = 2(5) + 2.50 so
C(5) = 10 + 2.50 and
C(5) = $12.50
It would cost $12.50 to be driven 5 miles
I believe the slope is -1
<h3>
Answer: 375</h3>
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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
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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.
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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.
Answer:
$1.11
Step-by-step explanation:
Find the price per roll by dividing the cost by the number of rolls:
9.99/9
= 1.11
So, the price per roll of toilet paper is $1.11
