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Chapter 7: Problem 20
To estimate the number of bass in a lake, wildlife biologists tagged 50 bass and released them in the lake. Later they netted 108 bass and found that 27 of them were tagged. Approximately how many bass are in the lake?
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Describe similarities and differences between the procedures needed to solve the following problems: $$ \text { Add: } \frac{2}{x}+\frac{3}{4}, \quad \text { Solve: } \frac{2}{x}+\frac{3}{4}=1 $$
In Palo Alto, California, a government agency ordered computer-related companies to contribute to a pool of money to clean up underground water supplies. (The companies had stored toxic chemicals in leaking underground containers.) The formula $$ C=\frac{2 x}{100-x} $$ models the cost, \(C\), in millions of dollars, for removing \(x\) percent of the contaminants. Use this mathematical model to solve Exercises \(71-72\). What percentage of the contaminants can be removed for \(\$ 2\) million?
Explain how to add rational expressions that have different denominators. Use \(\frac{3}{x+5}+\frac{7}{x+2}\) in your explanation.
Determine whether each statement 鈥渕akes sense鈥� or 鈥渄oes not make sense鈥� and explain your reasoning. The fastest way for me to find \(\frac{4}{x-5}+\frac{9}{5-x}\) is by using \((x-5)(5-x)\) as the \(\mathrm{LCD}\)
In Exercises \(83-86,\) determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. I must have made an error if a rational equation produces no solution.
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