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SAT Math Practice Question

A shipping service restricts the dimensions of the boxes it will ship for a certain type of service. The restriction states that for boxes shaped like rectangular prisms, the sum of the perimeter of the base of the box and the height of the box cannot exceed 130 inches. The perimeter of the base is determined using the width and length of the box. If a box has a height of 60 inches and its length is 2.5 times the width, which inequality shows the allowable width $x$, in inches, of the box?

  1. A.$0<x \leq 10$
  2. B.$0<x \leq 11 \frac{2}{3}$
  3. C.$0<x \leq 17 \frac{1}{2}$
  4. D.$0<x \leq 20$

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