By Kuczma M.E. (ed.)
Read or Download 144 problems of the Austrian-Polish Mathematics Competition, 1978-1993 PDF
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Additional resources for 144 problems of the Austrian-Polish Mathematics Competition, 1978-1993
36. 50 per pound. How much of each type of coffee should be used? Ans. 00-per-pound coffee. 37. A container is filled with 8 centiliters of a 30% acid solution. How many centiliters of pure acid must be added to produce a 50% acid solution? Ans. 38. A chemistry stockroom has two alcohol solutions, a 30% and a 75% solution. How many deciliters of each must be mixed to obtain 90 deciliters of a 65% solution? Ans. 39. A 6-gallon radiator is filled with a 40% solution of antifreeze in water. How much of the solution must be drained and replaced with pure antifreeze to obtain a 65% solution?
3. If simultaneously substituting −x for x and −y for y leads to the same equation, the graph has symmetry with respect to the origin.
Factor: ; ; ; ; ; ; ; ; ; . After removing the common factor, the remaining polynomial is prime. using reverse FOIL factoring. using the difference of two squares pattern. removing the common factor, then using reverse FOIL factoring. using reverse FOIL factoring. Here, the common factor was removed from both terms. using the difference of two cubes pattern. 12. A special factoring technique that is occasionally of use involves adding a term to make a polynomial into a perfect square, then subtracting that term immediately.
144 problems of the Austrian-Polish Mathematics Competition, 1978-1993 by Kuczma M.E. (ed.)