Answer:
(-30, 10)
multiply -20/60 by -0.5 each and you get 10/-30
this is the only pair achievable by proportion.
Given:
Measure of a cube = 1 unit on each side.
Dimensions of a space 2 units by 3 units by 4 units.
To find:
Number of cubes that can be fit into the given space.
Solution:
The volume of cube is:

Where, a is the side length of cube.


So, the volume of the cube is 1 cubic units.
The volume of the cuboid is:

Where, l is length, w is width and h is height.
Putting
, we get


So, the volume of the space is 24 cubic units.
We need to divide the volume of the space by the volume of the cube to find the number of cubes that can be fit into the given space.



Therefore, 24 cubes can be fit into the given space.
Factor the following:
15 x y - 45 x - 6 y + 18
Factor 3 out of 15 x y - 45 x - 6 y + 18:
3 (5 x y - 15 x - 2 y + 6)
Factor terms by grouping. 5 x y - 15 x - 2 y + 6 = (5 x y - 2 y) + (6 - 15 x) = y (5 x - 2) - 3 (5 x - 2):
3 y (5 x - 2) - 3 (5 x - 2)
Factor 5 x - 2 from y (5 x - 2) - 3 (5 x - 2):
Answer: 3 (5 x - 2) (y - 3)
The number of people in the auditorium can be less than or equal to 420 so let p represent the number of people
The inequality is p≤420
Both Ants start at the origin. Which means they will move the same distance even if they are going opposite waves