Chapter 7: Problem 21
Choose a method to solve the linear system. Explain your choice, and then solve the system. $$ \begin{aligned} &x-2 y=4\\\ &6 x+2 y=10 \end{aligned} $$
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Find the mean, the median, and the mode of the collection of numbers shown below. \(57,40,57,57,30,56,40,30,56\)
If \(y-x=-3\) and \(4 x+y=2,\) then \(x=?\) $$ \begin{array}{lllll} \text { (A) } 1 & \text { (B) }-1 & \text { (C) } 5 & \text { (D) }-5 \end{array} $$
Use the following information. You own a bottle recycling center that receives bottles that are either sorted by color or unsorted. To sort and recycle all of the bottles, you can use up to 4200 hours of human labor and up to 2400 hours of machine time. The system below represents the number of hours your center spends sorting and recycling bottles where \(x\) is the number of tons of unsorted bottles and \(y\) is the number of tons of sorted bottles. \(4 x+y \leq 4200\) \(2 x+y \leq 2400\) \(x \geq 0, y \geq 0\) Graph the system of linear inequalities.
Use substitution to solve the linear system. $$\begin{aligned} &d-e=8\\\ &\frac{1}{5} d=e+4 \end{aligned}$$
Use the following information. A carpenter is buying supplies for a job. The carpenter needs 4 sheets of oak paneling and 2 sheets of shower tileboard. The carpenter pays 99.62 dollars for these supplies. For the next job the carpenter buys 12 sheets of oak paneling and 6 sheets of shower tileboard and pays 298.86 dollars. Could you find how much the carpenter is spending on 1 sheet of oak paneling? Explain.
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