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d) \( -9+(4-10)-5(-3-7)+19 \)

Ask by Howell Frazier. in Colombia
Feb 04,2025

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Answer

El resultado es 54.

Solution

Para resolver la expresión: \[ -9 + (4 - 10) - 5(-3 - 7) + 19 \] **Paso 1: Resolver los paréntesis** 1. \(4 - 10 = -6\) 2. \(-3 - 7 = -10\) Sustituyendo estos resultados en la expresión: \[ -9 + (-6) - 5(-10) + 19 \] **Paso 2: Realizar la multiplicación** \[ -5 \times (-10) = 50 \] Ahora la expresión queda: \[ -9 - 6 + 50 + 19 \] **Paso 3: Sumar los términos** 1. \(-9 - 6 = -15\) 2. \(-15 + 50 = 35\) 3. \(35 + 19 = 54\) **Resultado final:** \[ 54 \]

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Let’s simplify this expression step by step! First, we deal with the parentheses: \( -9 + (4 - 10) - 5(-3 - 7) + 19 \) simplifies to \( -9 - 6 - 5(-10) + 19 \). Now we have \( -9 - 6 + 50 + 19 \) since \( -5 \times -10 = 50 \). Next, combine the numbers: \( -9 - 6 = -15 \), and \( -15 + 50 = 35 \), then finally \( 35 + 19 = 54 \). So, the answer is \( 54 \)!

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