A student wrote a proof about the product of two rational numbers: 1. Let 3 = and let y = à, where a and c are defined to be integers, and b and d are nonzero
integers.
2. By substitution, ry =
3. By applying the closure property of integers and nonzero integers on multiplication, ac is an
integer and bd is a nonzero integer.
What conclusion can the student now make about the product ty?

Find the number of positive three-digit even integers whose digits are among 9, 8, 7,5, 3, and 1.

Create a graph for the demand for starfish using the following data table: quantity/price of starfish quantity (x axis) of starfish in dozens price (y axis) of starfish per dozen 0 8 2 6 3 5 5 2 7 1 9 0 is the relationship between the price of starfish and the quantity demanded inverse or direct? why? how many dozens of starfish are demanded at a price of five? calculate the slope of the line between the prices of 6 (quantity of 2) and 1 (quantity of 7) per dozen. describe the line when there is a direct relationship between price and quantity.

Amir wants to proportionally increase the size of a photo to create a poster for his room. the size of the original photo is shown. complete the statement and then answer the question to represent ways that amir can increase the size of his photo.