You have gone out to eat with a couple of friends. One is your date, and the other is your good friend Bill. At the end, you get the check, and you decide to split it in two parts. You will pay for yourself and your date, while Bill will pay for 1/3 of(*) the total amount. You end up paying $16.00 for your part of the meal. Later, you can’t remember how much the total bill was, but you are sure you can figure it out. 1. Write a system of equations to represent this situation, and solve the system to find out how much the total cost of the meal was (including your part as well as Bill’s part). Show all of your work.

2. How much did Bill pay for his part of the meal? Again, show all of your work.

Beatrice decides she wants to babysit a few children at the same time to earn the money faster. she tells parents that if they allow her to babysit their children at her house, she will eliminate her automatic $5 tip and will give them an additional $5 discount. (a) write an equation showing the total cost for each client. identify all variables. (b) four parents bring their children to beatrice’s house at the same time for babysitting. beatrice wants to find out how many hours she must babysit the 4 children to earn exactly the $100 she needs in order to buy the present for her mother. write and solve an equation to find the number of hours. justify each step in the solution. (c) one parent decides not to drop off her child. the remaining 3 parents drop their children off at 9 a.m. two of the parents say they will be back at 1 p.m. the third parent says she will pick up her child at 2 p.m. at noon, beatrice realizes she needs feeding the 3 ch

The lengths of all sides of a triangle are integers when measured in decimeters. one of the sides has length of 1 dm and another of 3 dm. find the perimeter of the triangle.'

Which choice has the correct steps in graphing the solution set to the following inequality? -45_> 20x-5y