You earn $10 per hour working as a manager at a grocery store. you are required to work at the grocery store at least 8 hours per week. you also teach music lessons for $15 per hour. you need to earn at least $120 per week, but you do not want to wok more than 20 hours per week. write a system of linear inequalities that represents the situation. use x for hours worked at the grocery store and y for hours teaching music lessons.

Suppose there are 10 five and six-year-old attending a birthday party. when a 30 year old mother walks into the room with an infant in her arms, what happens to the mean age in the room? what happens to the standard deviation of ages in the room? a. the mean and standard deviation of both change. b. the meaning will change, but the standard deviation will stay approximately the same. c. i mean will stay approximately the same, but the standard deviation will change. d. the mean and standard deviation will both stay approximately the same.

Two consecutive negative integers have a product of 30. what are the integers?

Triangle xyz, with vertices x(-2, 0), y(-2, -1), and z(-5, -2), undergoes a transformation to form triangle x′y′z′, with vertices x′(4, -2), y′(4, -3), and z′(1, -4). the type of transformation that triangle xyz undergoes is a . triangle x′y′z′ then undergoes a transformation to form triangle x′y′z′, with vertices x″(4, 2), y″(4, 3), and z″(1, 4). the type of transformation that triangle x′y′z′ undergoes is a .