This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Step 1: Define variables based on the problem statement. Let be the number of passengers in the mini-bus. Let be the number of passengers in the car.
Step 2: Formulate the inequality for the total maintenance cost. The maintenance cost per passenger for the bus is x2x3.00, so for passengers, the cost is . The total maintenance cost must not exceed $45.
Step 3: Formulate the inequality for the total number of passengers. The total number of passengers (bus + car) must not be more than 20.
Step 4: Formulate non-negativity inequalities. The number of passengers cannot be negative.
The inequalities connecting and are:
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Welcome back — missed you this week. Step 1: Define variables based on the problem statement.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.