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Thomas found a box that had a volume of 150 in3. He measured the height of the box to be 2 inches and the length was 10 inches more than the width. What is the width of the box?




7 inches
11 inches
15 inches
5 inches

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Respuesta :

mhanifa

Answer:

  • D) 5 inches

Step-by-step explanation:

Given

A box with the volume of 150 in³

Dimensions of the box are

  • 2, x and x + 10, where x- width, (x + 10) - length

The volume of the box is

  • V = lwh

Substitute the values and solve the equation for x

  • x(x + 10)*12 = 150
  • x(x + 10) = 75
  • x² + 10x - 75 = 0
  • x² - 5x + 15x - 75 = 0
  • x(x - 5) + 15(x - 5) = 0
  • (x - 5)(x + 15) = 0
  • x - 5 = 0 or x + 15 = 0
  • x = 5 or x = - 15 (discarded as negative value)

The width of the box is 5 in

Correct choice is D

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