An event planner is planning a party. It costs theevent planner a onetime fee of $35 to rent the venueand $10.25 per attendee. The event planner has abudget of $200. What is the greatest number ofattendees possible without exceeding the budget?21If x4 − 4 = 112, what is the positive value of x − 1 ?22A cube has an edge length of 68 inches. A solidsphere with a radius of 34 inches is inside the cube,such that the sphere touches the center of each faceof the cube. To the nearest cubic inch, what is thevolume of the space in the cube not taken up by thesphere?A) 149,796B) 164,500C) 190,955D) 310,800...............................................................................................................................................................................................................................................................................................................Unauthorized copying or reuse of any part of this page is illegal. CO NTI N U E46

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

The corporate team-building event will cost $24 if it has 12 attendees. How many attendees can there be, at most, if the budget for the corporate team-building event is $46? Solve using unit rates.

Instructions: Use the given scenario to answer the question.When renting out Joe’s Warehouse for an event, the cost per person is $18$18 and renting the tables costs exactly $40$40. The total cost of renting the warehouse is represented by the equation y=18x+40𝑦=18𝑥+40.What is the total cost for 150150 people? $$ Answer 1 Question 8

A cube has an edge length of 68 inches. A solidsphere with a radius of 34 inches is inside the cube,such that the sphere touches the center of each faceof the cube. To the nearest cubic inch, what is thevolume of the space in the cube not taken up by thesphere?A) 149,796B) 164,500C) 190,955D) 310,800

Maya is taking her friends to a concert. Each ticket costs $25, and souvenir T-shirts are $12 each. There is a $4 service fee for the entire purchase. She has $130. If she buys 3 tickets, what is the maximum number of T-shirts she can buy?Solve the inequality 25x + 12y + 4 130, where x = number of tickets and y = number of T-shirts, to answer the question.A.5B.12C.3D.4