Ben has $19 to spend. He spent $7.25, including tax, to buy a notebook. He needs to save $2.75 but he wants to buy a snack. If pretzels cost $0.50 per package including tax, what inequality would show the maximum number of packages that Ben can buy? Solve your inequality by showing your work and steps.

The weight of full–grown tomatoes at a farm is modeled by a normal distribution with a standard deviation of 18.4 grams. the 95 percent confidence interval for the mean weight of the tomatoes is calculated using a sample of 100 tomatoes. what is the margin of error (half the width of the confidence interval)?

Which expression gives you the distance between the points (5,1)and(9,-6)

M the table below represents a linear function f(x) and the equation represents a function g(x): x f(x)−1 −50 −11 3g(x)g(x) = 2x − 7part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)part b: which function has a greater y-intercept? justify your answer. (4 points)