Consider these numbers in turn.
1. 60. This number is composite, because 60=2·2·3·5. Acoording to the rule given in task for this number you can have such possibilities:
- 2 stacks with 30 towels at each;
- 3 stacks with 20 towels at each;
- 4 stacks with 15 towels at each;
- 5 stacks with 12 towels at each;
- 6 stacks with 10 towels at each;
- 10 stacks with 6 towels at each;
- 12 stacks with 5 towels at each;
- 15 stacks with 4 towels at each;
- 20 stacks with 3 towels at each;
- 30 stacks with 2 towels at each.
2. 29 is prime number, because 29=1·29 (has only two trivial divisors). Then you cannot choose numbers of stacks and towels according to the given rule.
3. 37 is prime number, because 37=1·37 (has only two trivial divisors). Then you cannot choose numbers of stacks and towels according to the given rule.
4. 42=2·3·7 is composite number. Acoording to the rule given in task for this number you can have such possibilities:
- 2 stacks with 21 towels at each;
- 3 stacks with 14 towels at each;
- 6 stacks with 7 towels at each;
- 7 stacks with 6 towels at each;
- 14 stacks with 3 towels at each;
- 21 stacks with 2 towels at each.
Answer:
-2 1/3, -5/2, 1/16, 16
The more negative the number gets, the lesser it would be.
Answer:
17. 6
18. 18 (as shown)
19. 10/3 = 3 1/3
20. 20/3 = 6 2/3
Step-by-step explanation:
17. For this, you can subtract the given length GB=12 from the length you found for problem 18, BF=18. Doing that tells you FG = 18-12 = 6, as you have marked on the diagram.
19. As with median BF, the point G divides it into two parts that have the ratio 1:2. The distance from G to D is the shorter of the distances, so you have ...
... GD = (1/3) CD = (1/3)·10 = 10/3
... GD = 3 1/3
20. You can subtract GD from CD to get CG, or you can multiply CD by 2/3. The result is the same either way.
... CG = CD -GD = 10 -3 1/3
... CG = 6 2/3
_____
<em>Comment on centroid and median</em>
The centroid (G) divides each median into parts in the ratio 1:2. Hence the shorter of those parts is half the length of the longer one, or 1/3 the total length of the median.
The longer of the parts is double the length of the shorter one, or 2/3 the total length of the median.
Your marking of median BF seems to show an understanding of these relationships. (Total length: 18; length of parts: 6 and 12.)
Answer:
Step-by-step explanation:
Simply:
25 times 8.14 is $203.50 so there’s your answer
