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Dmitry_Shevchenko [17]
3 years ago
15

Marisol is making a rectangular wooden frame. she wants the length of the frame to be no more than 12 inches. she has less than

30 inches of wood to use. select the system of inequalities that represents the possible length, l, and the possible width, w, that her frame could have.
a. l ��� 12. 2l 2w < 30
b. l > 12. 2l 2w < 30
c. l ��� 12. l w < 30
d. l > 12. l w < 30
Mathematics
1 answer:
Blababa [14]3 years ago
4 0
B is your answer
The perimeter of a rectangle is2l + 2wThis has to be less than 30 because she has less than 30 inches of wood altogether.
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La densidad de un líquido es de 1.5 gr/cm3 su masa es de 7 libras Determina la cantidad de litros que ocupan dichos líquidos
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Answer:

<em>La cantidad de litros que ocupa dicho líquido es:</em>

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Step-by-step explanation:

<em>El volumen de un líquido puede obtenerse al tener tanto su densidad como su masa usando la siguiente fórmula:</em>

  • <em>Densidad = masa / volumen</em>

<em>Al despejar volumen se obtiene:</em>

  • <em>Volumen = masa / densidad </em>

<em>Por lo cual, si se reemplazara la fórmula quedaría:</em>

  • <em>Volumen = 7 Lb / 1.5 gr/cm^3</em>

<em>Sin embargo, </em><u><em>para operar, las unidades en las que se expresa la masa deben coincidir con las unidades de la densidad</em></u><em>, por lo cual vamos a convertir las libras en gramos teniendo en cuenta el siguiente factor de conversión:</em>

<em>1 libra = 453,592 gramos</em>

<em>Entonces:</em>

<em>7 lb =  453,592 gr * 7 = 3175,144 gr</em>

<em>Ahora este valor reemplaza la masa en la fórmula y calculamos:</em>

  • <em>Volumen del líquido =  3175,144 gr / 1.5 gr/cm^3</em>
  • <u><em>Volumen del líquido = 2116,762667 cm^3</em></u><em> (He utilizado todos los decimales para obtener el resultado exacto).</em>

<em>A simple vista ya se tiene el volumen del líquido en cuestión, sin embargo, el ejercicio pide que sea expresado en litros, por lo cual vamos a convertir los centímetros cúbicos en litros teniendo en cuenta el siguiente factor de conversión:</em>

<em>1 litro = 1000 centímetros cúbicos.</em>

<em>Ahora podemos aplicar una regla de tres simple, si:</em>

  • <em>1000 cm^3 = 1 L</em>
  • <em>2116,762667 cm^3 = x</em>

<em>Y operamos:</em>

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<em>O si quieres un valor aproximado:</em>

  • <u><em>x = 2,12 Litros.</em></u>

<em>Entonces, la cantidad de litros teniendo en cuenta la densidad y la masa brindadas es </em><u><em>2,12 litros</em></u><em>.</em>

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Step-by-step explanation:

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