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An event planner is planning a party. It costs the event planner a onetime fee of $35 to rent the venue and $10.25 per attendee. The event planner has a budget of $200. What is the greatest number of attendees possible without exceeding the budget?

y > 14
4x + y < 18
The point (x, 53) is a solution to the system of inequalities in the xy-plane. Which of the following could be the value of x ?

y ≤ x +7y ≥ −2x −1Which point (x, y) is a solution to the given system of inequalities in the xy-plane?

The minimum value of x is 12 less than 6 times another number n. Which inequality shows the possible values of x ?

The point (8, 2) in the xy-plane is a solution to which of the following systems of inequalities?

The cost of renting a power washer is $44 for the first day and $22 for each additional day. Which of the following functions gives the cost C(d) , in dollars, of renting the power washer for d days, where d is a positive integer?

The cost of renting a piece of construction equipment for up to 10 days is $370 for the first day and $185 for each additional day. Which of the following equations gives the cost y. in dollars, of renting the equipment for x days, where x is a positive integer and x ≤10?

Lao walks at a speed of 2 miles per hour and runs at a speed of 5 miles per hour. He walks for w hours and runs for r hours for a combined total of 11 miles. Which equation represents this situation?

The cost of renting a piece of construction equipment for up to 5 days is $390 for the first day and $195 for each additional day, Which of the following equations gives the cost y, in dollars, of renting the equipment for x days, where x is a positive integer and x \( \le \) 5?

The cost of renting a piece of construction equipment for up to 5 days is $390 for the first day and $195 for each additional day. Which of the following equations gives the cost y, in dollars, of renting the equipment for a days, where x is a positive integer and x ≤5?

In 2010, a skating team had a total of 43 skaters, each classified as either advanced or intermediate. From 2010 to 2020, the number of advanced skaters on the team decreased by approximately 15%, and the number of intermediate skaters on the team decreased by approximately 22%. The total number of skaters on the team decreased by approximately 19%. Which equation best represents this situation, where a represents the number of advanced skaters on the team in 2010 and b represents the number of intermediate skaters on the team in 2010?

A business consultant charges $408 for the first hour and $204 for each additional hour of work. Which of the following functions gives the charge C(h), in dollars, for h hours of work, where h is a positive integer?