Answer:
x < 1.
Step-by-step explanation:
-6x + 5 > -1
-6x > -1 - 5
-6x > -6
x < 1 (answer).
Note that the inequality sign flips when we divide by a negative.
Answer:
X=20; pqr = 130°
Step-by-step explanation:
They key here is to notice that the instructions say that qs bisects pqr, meaning that it evenly cuts it into 2 pieces. So, to find x, you just solve for x in the equation 3x+5=2x+25. Then, you plug it back into either side of the equation, at which point, you should get 65. Since it is half of pqr, just double it to get your final answer of 130°
Let x ft be the lenght of the fence and y ft be the width of the fence.
1. The length of the habitat should be at least 80 feet, then

2. The perimeter of the habitat should be no more than 300 feet. The perimeter of the fenceis 2x+2y ft, then

3. The system of inequalities that represent the model is

The graph of these inequalities is attached.
Two possible solutions are
- x=100 ft, y=20 ft (100≥80 and 2·100+2·20=240≤300);
- x=110 ft, y=30 ft (110≥80 and 2·110+2·30=280≤300).
Answer:
Step-by-step explanation: