Una tienda compra pendrive de diferentes
colores al por mayor, para navidad hizo un
pedido extraordinario de 84 memorias rojas, 196 azules y 252 verdes. Para guardar la
mercancía de forma organizada, exigió que
le enviarán las memorias en cajas iguales,
sin mezclar los colores y conteniendo el mayor número posible de memorias.​

Answers

Answer 1

Answer:

En síntesis, se requiere utilizar cajas con capacidad para 28 memorias. Al no mezclarse los colores, requerimos utilizar 3 cajas para las memorias rojas, 7 cajas para las memorias azules y 9 cajas para las memorias verdes.

Step-by-step explanation:

La cantidad de cajas es igual a la cantidad de memorias dividida por la capacidad de una caja. Al indicarse que las memorias serán guardadas en cajas de igual capacidad, sin mezclar los colores y con el mayor número posible de artículos, podemos utilizar el concepto de máximo común divisor, cuyo procedimiento mostramos a continuación:

(i) Realizamos la descomposición factorial de cada número:

Memorias rojas:

[tex]84 = 2\times 2 \times 3\times 7[/tex]

Memorias azules:

[tex]196 = 2\times 2\times 7\times 7[/tex]

Memorias verdes:

[tex]252 = 2\times 2\times 3 \times 3 \times 7[/tex]

(ii) Hallamos los números primos en común que tiene cada colección de memorias:

[tex]S=\{2,2,7\}[/tex]

(iii) Calculamos el máximo común divisor al multiplicar los elementos del conjunto S:

[tex]M.C.D. = 2\times 2\times 7[/tex]

[tex]M.C.D. = 28[/tex]

Esto quiere decir que cada caja debe llevar 28 memorias del mismo color. Finalmente, calculamos la cantidad requerida de cajas para cada memoria.

Memorias rojas:

[tex]n_{R} = \frac{84}{28}[/tex]

[tex]n_{R}= 3[/tex]

Memorias azules:

[tex]n_{A} = \frac{196}{28}[/tex]

[tex]n_{A} = 7[/tex]

Memorias verdes:

[tex]n_{V} = \frac{252}{28}[/tex]

[tex]n_{V} = 9[/tex]

En síntesis, se requiere utilizar cajas con capacidad para 28 memorias. Al no mezclarse los colores, requerimos utilizar 3 cajas para las memorias rojas, 7 cajas para las memorias azules y 9 cajas para las memorias verdes.


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Answers

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Step-by-step explanation:

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You have prizes to reveall Go to your game board. X
Oakland is hosting a city-wide arts festival at which vendors can pay to have a small booth or
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Answers

Answer:

Step-by-step explanation:

Coco butter

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Answers

Answer:

The expression to represent the total shipping costs for x package is 6x.

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Step-by-step explanation:

Given that the shipping and handling charge for 1 package = $ 6

So, by using the elementary method, the shipping and handling charge for x package is $ 6x.

Hence, the required expression to represent the total shipping costs for x package is 6x.

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So, the shipping and handling charge for 2 package

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=12.

So, Tommy will pay $ 12 in shipping and handling for 2 packages.

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Answers

Answer:

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Step-by-step explanation:

Write each number using calculator notation.
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Answers

Answer:

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Answer: Thats easy 41000

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Answer:

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Step-by-step explanation:

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Answer:

46 weeks

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

m=18+n

Step-by-step explanation:

m + -18 = n            simplify

-18 + m = n            record the terms

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Answer:

IDK but here's what I have found.....

Step-by-step explanation:

Simplifying

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Answer:

63.8

Step-by-step explanation:

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Answer:

(21.9, 66.3)

Step-by-step explanation:

Given the coordinates A (25.5, 60.1) and C (18.3, 72.5)

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Answers

Answer:

j=6

Step-by-step explanation:

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Answer:

6

Step-by-step explanation:

Step 1:

2 ( j + 4 ) = 20        Equation

Step 2:

2j + 8 = 20     Multiply

Step 3:

2j = 12        Subtract 8 on both sides

Step 4:

j = 12 ÷ 2        Divide

Answer:

j = 6

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Answer:

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Step-by-step explanation:

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13

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A quadratic function has a line of symmetry at x = –3.5 and a zero at –9. What is the distance from the given zero to the line of symmetry? What is the other zero of the quadratic function?

Answers

Given:

A quadratic function has a line of symmetry at x = –3.5 and a zero at –9.

To find:

The other zero.

Solution:

We know that, the line of symmetry divides the graph of quadratic function in two congruent parts. So, both zeroes are equidistant from the line of symmetry.

It means, line of symmetry passes through the mid point of both zeroes.

Let the other zero be x.

[tex]-3.5=\dfrac{(-9)+x}{2}[/tex]

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Add 9 on both sides.

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Answers

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