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After the bake sale, the Campus Ministry volunteers counted how much money they raised. In addition to the 18 one - dollar bills, the group had $9.50 in quarters, dimes, and nickels. They had twice as many dimes as nickels and 2 more than three times as many quarters as nickels. How many of each coin did they have?
Find how many students are on the bus
Show that if the roots of the polynomial p are all real, then the roots of p' are all real. If, in addition, the roots of p are all simple, then the roots of p' are all simple.
Find out how long it takes investment to double.
Using graphical method for solving maximization problem
Solve the following equation
Two mechanics worked on a car. The first mechanic worked for 20 hrs and the 2nd worked 5 hours. Together they charged a total of $2250.
Solution of an inequality.
Basics of parabolas and plotting.
Comparison of charges.
Let f(x) be an element of Q[x], (Q being the rationals), so that |Gal(f(x)|=255. Show that f(x) is solvable by radicals. Hint: Apply Sylow's theorems.
Discuss the validity of each statement. If the statement is always true, explain why. If not, give a counter example.
Let S be the set of ordered pairs of positive integers, let z = (5,8), and define R so that (x1, x2) R (y1, y2) means that x1 + y2 = y1 + x2.
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