Suppose a 6-character password needs to be made using any of the letters A, X,Q, F,R, P and odd numbers between 0-10. How many passwords exist if: a) Any combination of these characters is allowed, and characters can be repeated. b) Repetition is not allowed. c) Alternate characters need to be letters or numbers, and repetition is not allowed.

Agroup of students want to create a garden. they do not know the exact measurements but they propose using a variable to represent the length and width of the garden. the length of the garden is 10 feet longer than double the width. use a single variable to write algebraic expressions for both the length and width of the garden. write an algebraic expression for the area of the garden. use mathematical terms to describe this expression.