Abanquet hall is being set up for a reception. each round table will have 6 chairs and each rectangular table will have 10 chairs. the arrangement of tables must accommodate at least 185 guests to be seated. the client reserving the banquet hall requests that there be no more than 15 rectangular tables and no fewer than 6 round tables. additionally, the number of rectangular tables used must be at least one-third the number of round tables used. let x represent the number of round tables and y represent the number of rectangular tables. what constraints are placed on the variables in this situation? select each correct answer. (in picture)

1-for what value of x is line a parallel to line b 2-for what value of x is line a parallel to line b

He amount of carbon-14 present in animal bones t years after the animal's death is given by p(t)equals=upper p 0 e superscript negative 0.00012097 tp0e−0.00012097t. how old is an ivory tusk that has lost 26% of its carbon-14?

Find the area and perimeter of each composite figure. use 3.14 for π. round your answer to the nearest tenth. a square and a right triangle share a common side. image long description a 3-meter by 0.5-meter rectangle has triangles attached like wings to the 3-meter sides. the other two sides of both triangles measure 2.5 meters. the height of each triangle is 2 meters. a 6-inch by 4-inch rectangle has 2 half-circles attached like wings to the 6-inch sides. the radius of each half-circle is 3 inches. find the surface area and volume of each figure. use 3.14 for π. round your answer to the nearest tenth. a right circular cylinder has a base radius of 6 yards and a height of 20 yards. a rectangular prism has a base that is 9 centimeters long and 7 centimeters wide. the height is 2 centimeters. a rectangular prism has a base that measures 11 millimeters by 11 millimeters. the height is 11 millimeters.