Answer:
(a) b = (4/7)c
(b) Bill: 40 shingles/hour; Chip: 70 shingles/hour
Step-by-step explanation:
Let b and c represent Bill's and Chip's rates in shingles per hour, respectively. Then we have ...
7b = 4c
c - b = 30 . . . . shingles per hour difference in rates
(a) Bill's rate in terms of Chip's rate can be found by dividing the first equation by 7
b = (4/7)c . . . . . Bill's rate is 4/7 of Chip's rate
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(b) To find the rates, we can multiply the second equation by 7 and substitute using the first equation:
7c -7b = 210
7c -4c = 210
c = 210/3 = 70
b = (4/7)(70) = 40
Bill's rate is 40 shingles per hour; Chip's rate is 70 shingles per hour.
Answer:
8 miles
Step-by-step explanation:
I'm going to assume the question said that she "couldn't" repair the tire and was forced to walk back home, that makes more sense.
With that in mind:
She rode her bike 2 miles.
She walked 4 miles on the way there, and 6 miles on the way back.
You can deduce that it was a 6 mile walk back because of the 2 mile bike ride, then the 4 mile walk that it took to get there.
All in all that rounds out to 10 mile walking, and 2 mile biking. That is 8 miles more walking than biking.
We can't tell from the information you've given.
With the dots at the end, you showed that there's more
to the decimal. But you didn't say how much more.
-- If the decimal EVER ends, even after a billion places,
then it's rational.
-- If it repeats, then it's rational. That .80012569923 may repeat,
or part of it, like the 9923, may repeat, or the whole thing may be
part of some larger bunch that repeats. We don't know.
I think the answer is a. f(x)= cos(x).
