Subjects algebra

Evaluate Expression E7E20D

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1. **State the problem:** Evaluate the expression $$\frac{xy}{z} + \frac{5}{12}$$ for $$x = -4$$, $$y = -3$$, and $$z = 6$$. 2. **Write the formula and substitute values:** $$\frac{xy}{z} + \frac{5}{12} = \frac{(-4)(-3)}{6} + \frac{5}{12}$$ 3. **Calculate the product in the numerator:** $$\frac{12}{6} + \frac{5}{12}$$ 4. **Simplify the fraction:** $$\frac{\cancel{12}^2}{\cancel{6}^1} + \frac{5}{12} = 2 + \frac{5}{12}$$ 5. **Convert 2 to a fraction with denominator 12:** $$\frac{24}{12} + \frac{5}{12}$$ 6. **Add the fractions:** $$\frac{24 + 5}{12} = \frac{29}{12}$$ 7. **Final answer:** $$\frac{29}{12}$$ The correct choice is 29/12.