91Ó°ÊÓ

Use the formula Time traveled \(=\frac{\text { Distance traveled }}{\text { Average velocity }}\) A car can travel 300 miles in the same amount of time it takes a bus to travel 180 miles. If the average velocity of the bus is 20 miles per hour slower than the average velocity of the car, find the average velocity for each.

Factor each perfect square trinomial. $$x^{2}+2 x+1$$

Solve each compound inequality. $$-6

An HMO pamphlet contains the following recommended weight for women: "Give yourself 100 pounds for the first 5 feet plus 5 pounds for every inch over 5 feet tall." Using this description, what height corresponds to a recommended weight of 135 pounds?

You have 35 hits in 140 times at bat. Your batting average is \(\frac{35}{140},\) or \(0.25 .\) How many consecutive hits must you get to increase your batting average to \(0.30 ?\)

In the 1939 movie The Wizard of \(O z,\) upon being presented with a Th.D. (Doctor of Thinkology), the Scarecrow proudly exclaims, "The sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side." (Source: The Wizard of Oz, @ 1939, Warner Bros.) Did the Scarecrow get the Pythagorean Theorem right? In particular, describe four errors in the Scarecrow's statement.

Evaluate each expression, or indicate that the root is not a real number. $$\sqrt[5]{-\frac{1}{32}}$$

The price of a dress is reduced by \(40 \% .\) When the dress still does not sell, it is reduced by \(40 \%\) of the reduced price. If the price of the dress after both reductions is \(\$ 72,\) what was the original price?

Simplify the radical expressions if possible. $$\sqrt[3]{32}$$

Simplify each complex rational expression. $$\frac{\frac{3}{x-2}-\frac{4}{x+2}}{\frac{7}{x^{2}-4}}$$