A jeweler works with two kinds of metals, the first contains 72% silver and the second contains 87% silver.
If he wants to end up with a mixture of 50 grams that is
84% silver,
How many grams of the 72% silver metal should he use?

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

(c) the diagram shows the first three shapes of a matchsticks arrangement.first shape = 3second shape = 5third shape = 7given m represents the number of matchstick used to arrange the n'th shape.(i) write a formula to represent the relation between m and n. express m as the subjectof the formula.(ii) 19 matchsticks are used to make the p'th shape. find the value of p.

Suppose you can spend at most $12. create an inequality that represents this restraint. then find at least three ordered pair solutions representing the number of boxes of candy and combos you can buy