A window has the shape of a rectangle capped by a right isosceles triangle at one end as shown in the diagram. If the perimeter of the window is 12 m, find the width of the window that
will allow the greatest amount of light to shine through. Round your solution to the nearest tenth.
(5 marks)

Acaterer charges $500 plus $30 per guest to cater a wedding. walt and traci don't want to spend more than $8000 on catering. write and solve an inequality in terms of the number of guests, g, that can be invited. a) 30g ? 8000; g ? 267 b) 500g < 8000; g < 16 c) 500 + 30g < 8000; g < 250 d) 500 + 30g ? 8000; g ? 250

Jimmy can run 3.5 miles in 20 minutes. how far can ne run in one hour and ten minutes?

Simplify using positive exponents only.