Ineed first answer will get brainest beatrice started babysitting when she was in high school. she has built a reputation for herself and has become popular among the neighborhood parents. beatrice charges $10/h and gets a $5 automatic tip. beatrice needs $100 to buy a present for her mother. she wants to find out the minimum number of hours she needs to babysit at one job to get the money she needs. (a)write an inequality and solve it to beatrice figure out the minimum number of hours. identify what the variable is and what it represents. show your work. justify each step in the solution. (b)graph the solution on a number line. (c)beatrice doesn’t charge for partial hours. what is the minimum number of hours that she needs to work at one job to make at least $100? round your answer to the nearest hour.

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24