Algebra Answers

Prove that 2 1 n 2 n 2
n n 1
> + ∀ >
−
, using the inequalities of Unit 6.

Suppose you want to make a certain kind of tropical punch, using bananas, oranges, and papayas. You don't know how many of each to put in the punch, but you know that there are seven pieces of fruit in the mix, and there are twice as many oranges as bananas. You also know that the seven pieces of fruit cost $5.25, where bananas cost $.50 each, oranges cost $.75 each, and papayas cost $1.25 each.

The height h in feet of a person on a waterslide is modeled by the function h(t)= -0.025t^2-0.5t+50, where t is the time in seconds. At the bottom of the slide, the person lands in a swimming pool. To the nearest tenth of a second, how long does the ride last?

Find equivalent fractions for the following fractions:

8 1
--- ---
12 9

Proof by induction
n³–n is divisible by 3 for all natural numbers n.

Explain why the three pre number concepts need to be developed by a learner for her to be able to count.your explanation needs to include specific examples.

Avery bought 6.5 pounds of produce. If the produce was priced at $1.88 per pound how much change did Avery receive if she paid for her purchase with a $20 bill

if the length of a recectangle is five less than three times its width and the perimeter is 105 inches, what is its width? length?

A high school reports that its students SAT scores were down by 20% for one year. The next year, however, SAT scores rose by 30%. The high school principal announces, question marks overall test scores have improved by 10% over the past two years.