91Ó°ÊÓ

Etch Clean Graphics uses one cleanser that is \(25 \%\) acid and a second that is \(50 \%\) acid. How many liters of each should be mixed to get \(30 \mathrm{L}\) of a solution that is \(40 \%\) acid?

Solve using the elimination method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. \(7 p+5 q=2\) \(8 p-9 q=17\)

Solve each system using the substitution method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. $$ \begin{aligned} &2 x+3 y=-2\\\ &2 x-y=9 \end{aligned} $$

Determine the zeros, if any, of each function. $$ f(x)=\frac{1}{2} x+10 $$

Solve using the elimination method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. \(\begin{aligned} 4 a+6 b &=-1 \\ a-3 b &=2 \end{aligned}\)

Solve each system graphically. Be sure to check your solution. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If \(a\) system has no solution, state this. Where appropriate, round to the nearest hundredth. $$ \begin{aligned} &x=-3\\\ &y=2 \end{aligned} $$

Cati's Catering is planning an office reception. The office administrator has requested a candy mixture that is \(25 \%\) chocolate. Cati has available mixtures that are either \(50 \%\) chocolate or \(10 \%\) chocolate. How much of each type should be mixed to get a 20 -lb mixture that is \(25 \%\) chocolate? (IMAGE CANT COPY)

Soybean meal is \(16 \%\) protein and corn meal is \(9 \%\) protein. How many pounds of each should be mixed to get a 350 -lb mixture that is \(12 \%\) protein?

Solve each system using the substitution method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. $$ \begin{aligned} &x+2 y=10\\\ &3 x+4 y=8 \end{aligned} $$

Determine the zeros, if any, of each function. $$ f(x)=\frac{2}{3} x-6 $$