Pattern P:
40, 38, 36, 34, 32, 30, …
Pattern Q:
40, 36, 32, 28, 24, 20, …
(absolute) Differences in corresponding terms:
0, 2, 4, 6, 8, 10, …
and these differences agree with the last statement.
Multiply total students by the percentage:
600 x 80% = 600 x 0.80 = 480
480 students want more field trips.
The third one is a point with the first equation.
I had to simplify the second equation.
It simplified to,
The second one with the above is didn't go through so I'd say no solution.
Let x represent the length of the shortest side. Then the longest side is
... 2x -7 . . . . . . 7 ft shorter than twice the shortest side
and the 3rd side is
... x +2 . . . . . . 2 ft longer than the shortest side.
The perimeter is the sum of the side lengths,
... x + (2x -7) + (x +2) = 59 . . . . . the given perimeter length
... 4x -5 = 59 . . . . collect terms
... 4x = 64 . . . . . . add 5
... x = 16 . . . . . . . . divide by 4
Then the other sides are
... 2×16 - 7 = 25 . . . . . longest side
... 16 +2 = 18 . . . . . . . . third side
The side lengths are 16 ft, 18 ft, and 25 ft.
