Chapter 3: Problem 37
Solve the equation. $$12-6=-n$$
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Two student volunteers are stuffing envelopes for a local food pantry. The mailing will be sent to 560 possible contributors. Luis can stuff 160 envelopes per hour and Mei can stuff 120 envelopes per hour. a. Working alone, what fraction of the job can Luis complete in one hour? in \(t\) hours? Write the fraction in lowest terms. b. Working alone, what fraction of the job can Mei complete in \(t\) hours? c. Write an expression for the fraction of the job that Luis and Mei can complete in \(t\) hours if they work together. d.To find how long it will take Luis and Mei to complete the job if they work together, you can set the expression you wrote in part (c) equal to 1 and solve for \(t\). Explain why this will work. e. How long will it take Luis and Mei to complete the job if they work together? Check your solution.
Solve the equation. $$22 x+2(3 x+5)=66$$
In any triangle, the sum of the measures of the angles is \(180^{\circ}\). In triangle \(A B C, \angle A\) is four times as large as \(\angle B\). Angle \(C\) measures \(20^{\circ}\) less than \(\angle B\). Find the measure of each angle.
The bill (parts and labor) for the repair of a car was S458. The cost of parts was \(\$ 339\). The cost of labor was \(\$ 34\) per hour. Write and solve an equation to find the number of hours of labor.
Evaluate the expression. $$2-8 \div \frac{-2}{3}$$
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