23 Determina due numeri naturali, sapendo che la loro somma divisa per la loro differenza dà per quoziente 3 e resto 4 e che la somma di \( \frac{1}{6} \) del maggiore e di \( \frac{2}{5} \) del minore vale 7 .

USING EQUATIONS to solve WORD PROBLEMS Directions: Set up and solve an equation for each problem below. 8. Kelly, Laura, and Tia sold boxes of cookies fol fundraiser. Kelly sold 15 boxes less than Laura Tia sold twice as many boxes as Kelly. If they sold 83 boxes of cookies in total, how many boxes did each girl sell?

Two cubic roots are given below. \( \sqrt[3]{27} \) and \( \sqrt[3]{343} \) Write \( \mathrm{a} \times \mathrm{a} \times \mathrm{a} \times \mathrm{a} \times \mathrm{a} \times \mathrm{a} \) in the form of indices (b) Multiply the given two cubic roots. c) Prove that: \( \left(\frac{\mathrm{x}^{a}}{\mathrm{x}^{b}}\right)^{a+b}\left(\frac{x^{b}}{x^{c}}\right)^{b+c}\left(\frac{\mathrm{x}^{c}}{\mathrm{x}^{a}}\right)^{c+a}=1 \)

\( \left. \begin{array} { l } { 14 . f ( x ) = - 2 x ^ { 2 } + 4 x + 3 } \\ { x } \\ \hline - 2 \\ { - 1 } \\ { - 1 } \\ { 0 } \\ { 1 } \\ { 2 } \end{array} \right. | \)

USING EQUATIONS to solve WORD PROBLEMS Directions: Set up and solve an equation for each problem below. 7. The measure of one angle is str more than half the measure of another angle. If the angles are complementary, find both measures.

USING EQUATIONS to solve WORD PROBLE Directions: Set up and solve an equation for each problem below. 10. The sum of four consecutive integers is 222 . Find the integers.