Fred is making hot dogs for his company picnic buns come 12 to a pack and hot dogs come 8 to a pack what is the fewest number of hot dogs he can make and not have any leftover buns or hotdogs how many packs of buns and packs of hot dogs should he buy

If the ratio of sum of the first m and n terms of an ap is m2 : n2 , show that the ratio of its mth and nth terms is (2m − 1) : (2n − 1).

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)

Find the condition that the zeros of the polynomial f(x) = x^3+3px^2+3px+r may be in a.p.