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lions [1.4K]
4 years ago
12

Simplify the expression. (8 + 7a) + 4 7a

Mathematics
1 answer:
agasfer [191]4 years ago
3 0
For this one I'm going to assume that 4 7a means 4 * 7a...

(8 + 7a) + 4 * 7a =
8 + 7a + 28a =
8 + 35a

If I read it wrong and 4 7a is actually 47a then...

(8 + 7a) + 47a =
8 + 54a =
2(4 + 27a)
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Answer:

For answer a,

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What is 30,422,200 in expanded form?
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A 40-inch piece of rope is cut into 4 equal pieces. How long is each piece in feet?
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Tengo 5 cubos de colores. Uno rojo, uno amarillo, uno verde, uno azul claro y uno azul oscuro. ¿De cuántas formas puedo organiza
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Answer:

72 formas

Step-by-step explanation:

Primero vamos a calcular de cuántas formas se puede organizar los 5 cubos en una columna utilizando la regla de la multiplicación:

5 * 4 * 3 * 2 * 1 = 120

Porque tenemos 5 cubos para poner en la base de la columna, luego 4 cubos para la segunda posición de la columna, luego 3 cubos y así hasta organizar todos los cubos.

Luego vamos a calcular de cuántas formas podemos organizar los 5 cubos de tal forma que los cubos azules se toquen entre sí. Para esto vamos a contar los dos cubos azules como si fueran uno solo, es decir, sólo tendríamos "4 cubos" y podríamos organizar los cubos de 24 formas distintas:

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Por otro lado, los 2 cubos azules pueden ser organizados de dos formas diferentes: primero el claro y luego el oscuro o primero el oscuro y luego el claro.

Es decir que hay 24 formas distintas de organizar los cubos en donde primero va el claro y luego el oscuro y hay 24 formas de organizar los cubos en donde primero va el oscuro y luego el claro.

Esto significa que de las 120 formas de organizar los 5 cubos, 48 formas tienen los cubos azules juntos y en 72 (120-48) formas los dos cubos azules no se tocan entre sí.

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