Answer:
The correct answer is 32.88.
Step-by-step explanation:
Cost price for a 26 ounce can of coffee = 6.75.
A case of coffee contains 12 cans.
Total cost price of a case is 12 × 6.75 = 81.
Selling price of each can of coffee = 9.49.
Total selling price of a case is 12 × 9.49 = 113.88.
Total profit for selling a case of cnas of coffee is given by 113.88 - 81 = 32.88
Thus the profit for selling each can is 32.88.
Converting to a mixed number is the same as dividing and leaving the remainder.
Say we had 5/2...we would divide 5 by 2 and end up with 2 r1, right?
So 5/2 = 2 1/2
As for 39/3...we divide 39 by 3...and get exactly 13! There's no remainder, so you don't even need any additional fractions.
As for the domain, the only restriction comes from the logarithm. The argument of a logarith must be strictly positive, so we have

As for the range, we have:
- The range of
are all real numbers - If we change to
we're translating the function horizontally, so the range remains the same - If we change to
we're stretching the function horizontally, so the range doesn't change - If we change to
we're translating the function 1 unit up, but the range is already all the real numbers, so it doesn't change.
To find the answer, we can first find the distance each of them have, then divide it by their speed to find the time needed.
Distance Steve need to travel: 300 feet
Distance Paula need to travel:
300+175(behind steve) = 475 feet
Time needed respectively:
Steve: 300 ÷ 9 = 33.33.. seconds
Paula: 475 ÷ 15 = 31.66... seconds
As we can see from the result, Paula would take less time to reach the goal (31.66<33.33),
therefore, Paula win the bike race by:
33.33-31.67
=1.66...
≈1.67 feet
Thus Paula won by 1.67 feet.
Hope it helps!