Subjects algebra

Final Number 87155B

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1. **State the problem:** We are given values $x=11$, $y=5.5$, and $z=2$. We need to find the final number after performing the following operations: double $x$, divide by $8y$, multiply by $17z$, subtract $x$ and $z$, then triple the result. 2. **Write the expression:** The operations translate to the expression: $$\text{Final} = 3 \times \left( \frac{2x}{8y} \times 17z - x - z \right)$$ 3. **Substitute the values:** $$= 3 \times \left( \frac{2 \times 11}{8 \times 5.5} \times 17 \times 2 - 11 - 2 \right)$$ 4. **Calculate step-by-step:** - Double $x$: $2 \times 11 = 22$ - Calculate denominator $8y$: $8 \times 5.5 = 44$ - Fraction: $\frac{22}{44} = \frac{\cancel{22}}{\cancel{44}} = \frac{1}{2}$ - Multiply by $17z$: $\frac{1}{2} \times 17 \times 2 = \frac{1}{2} \times 34 = 17$ - Subtract $x$ and $z$: $17 - 11 - 2 = 4$ - Triple the result: $3 \times 4 = 12$ 5. **Final answer:** $$\boxed{12}$$