James went to the store to return a defective $45 tape recorder for a refund. At the same time, he bought some batteries for $3 per package. If he received $33 dollars of his refund, how many packages of batteries did he buy?

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.

[15 points]find the least common multiple of the expressions: 1. 3x^2, 6x - 18 2. 5x, 5x(x +2) 3. x^2 - 9, x + 3 4. x^2 - 3x - 10, x + 2 explain if possible

If f(x)=x+7 and g(x)=1/x what is (fog)(x)