Chapter 11: Problem 84
Simplify the radical expression. $$\frac{1}{5} \sqrt{625}$$
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Simplify the radical expression. $$9 \sqrt{36}$$
Use the following information. You are choosing a business partner for a student lawn-care business you are starting. It takes you an average of 35 minutes to mow a lawn, so your rate is 1 lawn in 35 minutes or \(\frac{1}{35}\) of a lawn per minute. Let \(x\) represent the average time (in minutes) it takes a possible partner to mow a lawn. Write an expression for the partner's rate (that is, the part of a lawn the partner can mow in 1 minute). Then write an expression for the combined rate of you and your partner (the part of a lawn that you both can mow in 1 minute if you work together).
Write the equation in standard form. (Lesson 9.5 for 11.7 ) $$9-6 x=2 x^{2}$$
Simplify the expression. $$\left(\frac{3 x-5}{x}+\frac{1}{x}\right) \div\left(\frac{x}{6 x-8}\right)$$
You will write and simplify a general expression for the average speed traveled when making a round trip. Let \(d\) represent the one-way distance. Let \(x\) represent the speed while traveling there and let \(y\) represent the speed while traveling back. Write an expression for the total time for the round trip. Use addition to write your answer as a single rational expression.
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