Alejandro wrote an equation to fit the following scenario. A person driving a pick-up truck and another person driving a motorcycle arrange to meet at a park. The pick-up truck driver took twice as long to arrive while driving at an average speed of 45 mph. The motorcyclist drove 55 mph and had a 23 miles less to drive. Alejandro’s work: t = number of hours for the pick-up truck driver to complete the trip Equation: 55 (2 t) minus 23 = 45 (t) Which statements identify Alejandro’s errors? Select the two correct answers.

Atorch and a battery cost 2.50 altogether.the torch costs 1.50 more than the battery.what fraction of the total price is the torch? give your answer in its simplest form.

Madeline takes her family on a boat ride. going through york canal, she drives 6 miles in 10 minutes. later on as she crosses stover lake, she drives 30 minutes at the same average speed. which statement about the distances is true?

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.