Melvin plays tennis and swims for a total of 110 minutes every day. He plays tennis 40 minutes more than he swims. Part A: Write a pair of linear equations to show the relationship between the number of minutes Melvin plays tennis (x) and the number of minutes he swims (y) every day.  Part B: How much time does Melvin spend swimming every day?  Part C: Is it possible for Melvin to have spent 70 minutes playing tennis every day? Explain your reasoning.

Complete the following for the system of equations. 2x - 4y = 0.6x - 1.2y = 2.1 7 (a) Use a graphing utility to graph the equations in the system.

Bryan must build retaining walls around a garden for a customer. The garden is shaped like a triangle where two sides have the same length and the other side is four feet longer than twice the length of the other two sides. The perimeter of the garden is 232 feet. Write a system of equations to model this situation. How long is each side of the garden?

Mabel is comparing the prices of two car rental companies. Company A charges $35 per day and an additional $15 as service charges. Company B charges $42 per day and an additional $10 as service charges. Part A: Write an equation to represent each company's total charges for renting a car for a certain number of days. For both equations (one for Company A and one for Company B), define the variable used. Part B: Which company would charge less for renting a car for 6 days? Justify your answer.  Part C: How much money is saved by using the services of Company A instead of Company B to rent a car for 10 days?

You begin with $90 in your savings account and your friend begins with $35 in her savings account. You deposit $10 in savings each week, and your friend deposits 15 in savings each week. A. Write a system of linear equations that represent the amounts in each of your savings. B. Your friend says that in 10 weeks you will both have the same amount of money in your savings account. Is your friend correct?

A video game enthusiast is planning to attend a convention where the latest technologies, products, and games will be showcased. There is a $75 registration fee to attend the con- vention. She plans to stay at a hotel with a daily rate of $210 and spend $30 on meals per day. Create an equation to represent her expenses for the convention based on the number of days she will be in attendance. Then, use your equation to answer the following question. How much will she spend to attend the convention for 3 days? A B $795 O $735 с $945 $885

4. A retailer imports a crate of sunglasses for $3800. There are x amount of pairs of glasses in the box. 8 pairs of glasses are defective and can't be sold. The retailer sells the remaining sunglasses for $4800, realizing a profit of $6 per pair. Write the equation that represents this scenario.

The equation c=5x+770 is the cost. P=16x is the income in dollars A company receives when it sells x cubic yards of mulch. Sketch a graph of the system of equations and find the number of cubic yards of mulch the company must produce and sell before it begins to show a profit for the first month.

Ahmed wants to make an award made out of different metals. A portion of the trophy is 80% silver and the rest is 44% copper. Ahmed needs 50.0 grams of 72% mixed metals. How much of each allows should he use? Define your variables, create the systems of linear equations. Complete the problem with a word statement. Round to the nearest tenth decimal (one decimal place).