91Ó°ÊÓ

For exercises 1-40, use the five steps and a system of equations. Drink A is \(15 \%\) orange juice. Drink B is \(4 \%\) orange juice. Find the amount of each drink needed to make \(800 \mathrm{gal}\) of a new drink that is \(7 \%\) orange juice. Round to the nearest whole number.

Describe when the boundary line of the graph of a linear inequality is solid and when it is dashed.

For exercises 1-4, rewrite the repeating decimal as a fraction. $$ 0 . \overline{4} $$

For exercises 1-2, (a) find the \(x\)-coordinate of the intersection point. (b) find the \(y\)-coordinate of the intersection point. (c) identify the solution of the system. (d) check. $$ \begin{aligned} &y=3 x+2 \\ &y=x+6 \end{aligned} $$

For exercises 1-2, (a) find the \(x\)-coordinate of the intersection point. (b) find the \(y\)-coordinate of the intersection point. (c) identify the solution of the system. (d) check. $$ \begin{aligned} &y=5 x+3 \\ &y=x+7 \end{aligned} $$

Drink A is \(13 \%\) grapefruit juice. Drink B is \(2 \%\) grapefruit juice. Find the amount of each drink needed to make 900 gal of a new drink that is \(5 \%\) grapefruit juice. Round to the nearest whole number.

For exercises 1-4, rewrite the repeating decimal as a fraction. $$ 0 . \overline{7} $$

For exercises 3-4, (a) identify the substitution expression. (b) find the \(x\)-coordinate of the intersection point. (c) find the \(y\)-coordinate of the intersection point. (d) identify the solution of the system. (e) check. $$ \begin{aligned} &5 x+y=9 \\ &y=2 x+2 \end{aligned} $$

Mixture A is \(27 \%\) acid. Find the amount of this mixture and the amount of water needed to make \(320 \mathrm{~L}\) of a new mixture that is \(21 \%\) acid. Round to the nearest whole number.

For exercises \(3-22\), graph. Label the solution region.a $$ \begin{aligned} &x+y \leq 8 \\ &x \geq 2 \end{aligned} $$