Algebra Answers

A telephone booth 210 CM tall casts a shadow 600cm long. At the same time, a nearby fire hydrant casts a shadow 240cm long. Find the height of the fire hydrant.

–4(3 – 5x)≥ –6x + 9

Using the Horner’s method find the values of f(4) and f' (4) for the polynomial
f(x) = x⁴ + 2x³ - x² + 1

1. A committee of six is chosen from ten girls and eight boys. How many committees can be formed if. . .
(a) There are no restrictions?
(b) The committee contains only girls?
(c) The committee contains only boys?
(d) The committee contains four girls?
(e) The committee contains at least three girls (Set up but don’t solve)



2. Compa has twelve lemon, ten vanilla, and fifteen chocolate puddings in her pouch. She hands Neptune
four random puddings with no replacement nor regard to order. How many batches of four can Compa hand Neptune if . . .
(a) there are no restrictions?
(b) Neptune receives only lemon puddings?
(c) Neptune receives two chocolate puddings?
(d) Neptune receives one chocolate, two lemon, and one vanilla pudding?
(e) Neptune receives at least two lemon puddings (set up but don’t solve)

One pipe can fill a pool 1.25 times faster than a second pipe. When both pipes are opened, they fill the pool in five hours. How long would it take to fill the pool if only the slower pipe is used?

Alice chicken coop(cage) has a total volume of 624 cubic feet. Use the fact that 1 foot is approximately equal to 0.3048m to convert this volume to cubic meter.