One of your classmates was absent on the day that you learned how to write and solve an equation from a contextual situation. your teacher has asked you to explain the four steps and their application to the problem that follows.

natasha stole three fewer bases than twice the number elena stole. if natasha stole 15 bases, how many did elena steal?

using the four steps, write and solve an equation to find the number of bases elena stole.
the 4 steps:
choose a variable to represent the unknown.
write an equation.
solve the equation.
check the solution for reasonableness.

Rena is building a 1: 180 scale model of a real castle. her model has a rectangular base that is 3 feet wide and 4 feet long what is the area of the base of the actual castle in square feet

Which value of m will create a system of parallel lines with no solution? y = mx - 6 8x - 4y = 12

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.