12. Last night, Julie's pet hamster Zoe kept Julie awake for at least an hour running on her exercise wheel and scratching at the corner of her cage. Zoe ran on the wheel at least twice as long as she scratched at the corners of her cage, and she spent more than - hour running on her wheel. Which system of inequalities represents the time Zoe kept Julie awake last night if x is the number of hours Zoe spent running on her wheel and y is the number of hours spent scratching her cage?

a Steven goes to buy some flowers for his mother He wNants to but at least 12 pieces of flowers. He nas budget of Po00, and he's looking to buy roses for P25 each and carnations for P50 each. Write the system of linear inequalities that represents the given situation. 4. Tom's company needs to hire at least 20 workers. Some of them are working in Factory I for P1000/month, while others are working in the Factory II for P1500/month. The total salary of all the workers should be within P30000. Set up a graph of system of linear inequalities that represent the given scenario? 5. You can work a maximum of 20 hours a week. You need to make P7,000 in order to cover your expenses. Your encoding job P350 an hour and your sales agent job pays P500 an hour. Set up a graph of system of linear inequalities that represent the given scenario. mog.odulyov. wwwwa Osupe a1edmun enl huoda on Post-Test

Consider the following system of inequalities: Зх — 5у > -15 7x + 4y > 32 How many corner points does the system have?

Colton owns a food truck that sells tacos and burritos. He only has enough supplies to make 120 tacos or burritos. He sells each taco for $3.75 and each burrito for $6. Colton must sell at least $540 worth of tacos and burritos each day. If x represents the number of tacos sold and y represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.

Casey works at the Sports Gym as a counselor for x hours a week after school a job that pays $3 an hour . She has accepted a job that pays $9 an hour at Carvel working y hours per week. She will work both jobs. She is able to work no more than 17 hours per week . Casey wants to earn at least $72a. Write a system of linear inequalities that can be used to find the possible combinations of hours working at the Sports Gym and at Carvel so Casey earns at least $72.

For a concert event, there are $30 reserved seat tickets and $20 general admission tickets. There are 2100 reserved seats available, and fire regulations limit the number of paid ticket holders to 3400. The promoter must take in at least $78,000 in ticket sales. Write a system of inequalities that describes the different numbers of tickets that can be sold. (Let x be the number of $30 tickets and y be the number of $20 tickets.

Annie has a budget of $600 to purchase paperback books and hardcover books for her classroom. Shewants the number of hardcover to be at least 5 more than three times the number of paperback books.Paperback books cost $4 each and hardcover books cost $15 each.a. Write a system of inequalities to model this situation.b. Graph the system.c. Can she buy 8 paperback books and 40 hardcover books?d. Can she buy 10 paperback books and 37 hardcover books?

Translate to a system of inequalities and solve. Juan is studying for his final exams in Chemistry and Algebra. He knows he only has 28 hours to study, and it will take him at least two times as long to study for Algebra than Chemistry.   Write a system of inequalities to model this situation. (Let a represent the number of hours spent studying for Algebra and let c represent the number of hours spent studying for Chemistry. Enter your answers as a comma-separated list of inequalities.)

A drugstore is selling two types of notebooks for $3 and $4. If a person wants to spend between $10 and $15 on notebooks, write the system of inequalities that represents this situation.

write a system of equations , then graph them