1800 m of fencing is available to fence six identical pens as shown.

a. Explain why 9x+8y=1800

b. Show the total area of each pen is given by A = - (9/8) x^2+225x

c. If the area enclosed is to be maximised, what is the shape of each pen?

1. If the length of a rectangle is decreased by 4 cm and the width is increased by 5 cm, the result will be a square, the area of which will be 40 cm2 greater than the area of the rectangle. Find the area of the rectangle. 2.

There were 180 people in a movie theater. Twenty percent of them received the student discount and 10% received the senior citizen discount. The rest did not receive a discount. How many people did not receive a discount.

What is the ratio of the width to length of a folded sheet of paper if the rectangle formed when the sheet is folded in half is similar to the original rectangular sheet? Express your answer as a common fraction in simplest radical form.

Convert 4.4 to a percent

Kelly has some apples, bananas and oranges. The ratio of the number of apples to the total number of fruits us 1:4. There are 30 apples and half as many bananas as oranges. How many oranges does Kelly have?

How do you identify the opposites and the absolute value of a rational number?

An athlete eats 0.2kg of protein per week while training. how much protein will she eat during 9 weeks of training write answer in grams

What kind of charge does the particle emitted from the nucleus during beta minus (β-) decay have?

Which characteristic is correct for the function f (x) = 4x5+8x+2f (x) = 4x5+8x+2? neither even nor odd odd even both even and odd

188 asu students, faculty, and staff were randomly surveyed and asked if they have an asu parking decal, ride their bike, or the light rail.