Kate is selling jars of homemade pickles (p) and jars of relish (r). She has enough cucumbers for at most 50 jars of her products. The pickles sell for $6 per jar, and the relish sells for $4 per jar. She needs to make at least $260. When modeling this situation with a system of inequalities, which statements are true? A) p + r ≤ 50 6p + 4r > 260 B) p + r ≥ 50 6p + 4r ≥ 260 C) p + r ≤ 50 6p + 4r ≥ 260 D) p = 32 and r = 18 is a solution to the system. E) p = 28 and r = 22 is a solution to the system.

What is the value of the discriminant of the quadratic equation -2x = -8x + 8 and what does its value mean about thenumber of real number solutions the equation has?

The length of a rectangle plus its width is 24 cm. the area is 143 square cm. what are the length and width of the rectangle?

"curse these trig-loving pirates! " devora mutters as she looks at the map. then, after thinking for a moment, she walks back to the entrance of the secret cave, measuring 48 meters along the way. after performing a calculation, devora walks back to the empty treasure, faces the entrance, and turns a certain number of degrees to her left before walking 89 meters to the treasure. supposing that the angle at the cave entrance is acute and that devora's calculations were correct, how many degrees did she turn?