Anumber cube numbered 1 - 6 is rolled once. what is the probability that the side facing up shows 4

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).

The function f(x)= x5+ ( x + 3)2 is used to create a table. if x = -1 then what is f(x)?

Bill makes leather shoes. he charges $45 for a pair of women's shoes and $50 for a pair of men's shoes. he sells x pairs of women's shoes and y pairs of men's shoes each week and earns a total income of $2,500. this situation can be represented by the equation . if bill has no female customers during a particular week, he needs to sell pairs of men's shoes to earn his weekly income of $2,500.