Your school is planning a field trip to a history museum. They are going to rent a large bus for $450. The cost of the ticket to the museum is $15.75. Write an equation to represent this situation. Then, find how many people need to go on the trip for it to cost $40 per person.

19

Step-by-step explanation:

To write an equation for the first situation, you need to determine which factors can be changed.  The bus will not change since you can have multiple people in one.  The ticket to the museum is per person.  This will change depending on how many people there are.

450 + 15.75x

For the second equation, you need to find how many people can go for it the cost to be equal to $40 per person.  Set the equation equal to $40 per person and solve.

450 + 15.75x = 40x

450 = 24.25x

x = 18.56

Round up to 19 since you can't 0.56 of a person.

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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