Answer:
1. 30 groups of each student.
2. 2 groups of 15 students.
3. 15 groups of 2 students.
4. 3 groups of 10 students.
5. 6 groups of 5 students.
6. 5 groups of 6 students
7. 10 groups of 3 students.
Step-by-step explanation:
Given : Ms.Diaz wants to divide her class of 30 students into equal-sized groups.
The factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30
Thus, her choices are =
i.e. 1. 30 groups of each student.
2. 2 groups of 15 students.
3. 15 groups of 2 students.
4. 3 groups of 10 students.
5. 6 groups of 5 students.
6. 5 groups of 6 students
7. 10 groups of 3 students.
We can simply observe that.
Since the product of two rational numbers is always rational, we have that
are all rationals, since they are the product of two rationals.
On the other hand, we have
and thus
which is irrational.
Answer:
The stone would take approximately 10.107 seconds to fall 500 meters.
Step-by-step explanation:
According to the statement of the problem, the following relationship of direct proportionality is built:
Where:
- Time spent by the stone, measured in seconds.
- Height change experimented by the stone, measured in meters.
- Proportionality constant, measured in
.
First, the proportionality constant is determined by clearing the respective variable and replacing all known variables:
If and
, then:
Then, the expression is . Finally, if
, then the time is:
The stone would take approximately 10.107 seconds to fall 500 meters.