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.
If the required rate is gallons per minute, then its obvious from the question, that the rate of filling the pool is 10 gallons per minute, and its obviously a constant number.
But for the rate to be in gallons per hour, then
1 minute corresponds to 10 gallons
so
1 hour corresponds to 10x60 = 600 gallons
hence
rate (gallons per hour) = 120,000/600 = 200 gallons per hour.
which is again a constant number.
y = 5x, so 5 is the constant of proportionality
Answer:
0.25x - 4 > 6
Step-by-step explanation:
First, we would like to thank you for all of the additional support you offer at home. ... Subtract the absolute values. Multiply the denominators. 4. Reduce if necessary. 3. 10 x. 2. 3. 6. 30. = 1. 5. 3 ... 1 less than the product of 3 and m 3m – 1.
Associative Property
The parentheses are grouping operators.
Think about the word associate to make it easier