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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?
  • a)
    0 < x ≤ 10
  • b)
    0 < x ≤ 
  • c)
    0 < x ≤
  • d)
    0 < x ≤ 20
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A shipping service restricts the dimensions of the boxes it will ship ...
Choice A is correct. If x is the width, in inches, of the box, then the length of the box is 2.5x inches. It follows that the perimeter of the base is 2(2.5x + x), or 7x inches. The height of the box is given to be 60 inches. According to the restriction, the sum of the perimeter of the base and the height of the box should not exceed 130 inches. Algebraically, that is 7x + 60 ≤ 130, or 7x ≤ 70. Dividing both sides of the inequality by 7 gives x ≤ 10. Since x represents the width of the box, x must also be a positive number. Therefore, the inequality 0 < x ≤ 10 represents all the allowable values of x that satisfy the given conditions.
Choices B, C, and D are incorrect and may result from calculation errors or misreading the given information.
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A shipping service restricts the dimensions of the boxes it will ship ...
Choice A is correct. If x is the width, in inches, of the box, then the length of the box is 2.5x inches. It follows that the perimeter of the base is 2(2.5x + x), or 7x inches. The height of the box is given to be 60 inches. According to the restriction, the sum of the perimeter of the base and the height of the box should not exceed 130 inches. Algebraically, that is 7x + 60 ≤ 130, or 7x ≤ 70. Dividing both sides of the inequality by 7 gives x ≤ 10. Since x represents the width of the box, x must also be a positive number. Therefore, the inequality 0 < x ≤ 10 represents all the allowable values of x that satisfy the given conditions.
Choices B, C, and D are incorrect and may result from calculation errors or misreading the given information.
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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?a)0 < x ≤ 10b)0 < x ≤c)0 < x ≤ d)0 < x ≤ 20Correct answer is option 'A'. Can you explain this answer?
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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?a)0 < x ≤ 10b)0 < x ≤c)0 < x ≤ d)0 < x ≤ 20Correct answer is option 'A'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about 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?a)0 < x ≤ 10b)0 < x ≤c)0 < x ≤ d)0 < x ≤ 20Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?a)0 < x ≤ 10b)0 < x ≤c)0 < x ≤ d)0 < x ≤ 20Correct answer is option 'A'. Can you explain this answer?.
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