Liza is baking cookies and muffins for a bake sale. She wants to bake at least 50 cookies and 25 muffins. She wants to bake a total of no more than 100 cookies and muffins. She wants to bake more than twice as many cookies as muffins. If c = the number of cookies and m = the number of muffins, which system of inequalities represents these constraints? A ⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪c≥50m≥25c+m≤100c>2m B ⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪c≥50m≥25c+m≥100c>2m C ⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪c≥50m≥25c+m≤1002c>m D ⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪c≥50m≥25c+m≥1002c>m

Agreeting card company can produce a box of cards for $7.50. if the initial investment by the company was $50,000, how many boxes of cards must be produced before the average cost per box falls to $10.50?

Cone w has a radius of 8 cm and a height of 5 cm. square pyramid x has the same base area and height as cone w. paul and manuel disagree on how the volumes of cone w and square pyramid x are related. examine their arguments. which statement explains whose argument is correct and why? paul manuel the volume of square pyramid x is equal to the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is three times the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is (area of base)(h) = (200.96)(5) = 1,004.8 cm3. paul's argument is correct; manuel used the incorrect formula to find the volume of square pyramid x. paul's argument is correct; manuel used the incorrect base area to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect formula to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect base area to find the volume of square pyramid x.

What is the value of p in the equation y^ = -4x?