Daily Math Practice Challenge: Preparing for the ACT Exam-DAY 19

Use the following information to answer questionss 6–8.

A particular brand of paper towel has 193 sheets per roll, and each sheet is 11 in by 5.5 in. The paper towels come in boxes of 6 rolls with a shipping weight of 6.8 pounds. The cost for a box of 6 rolls of this paper towel is $15.99 plus the shipping cost, given in the table below.

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The diameter of each cylindrical roll is 6 inches. Each roll has a cylindrical hole 1.5 inches in diameter, and each roll has a height of 11 inches, as shown in the diagrams below.

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6. The 6 rolls are shipped in a box as shown below where the interior of the box is as small as possible. What are the interior dimensions of this box, in inches?

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A. 8 × 12,0 × 11
B. 9 × 13.5 × 11
C. 11 × 16.5 × 11
D. 12 × 18,0 × 11
E. 36 × 36,0 × 66

Correct Answer:D

7. The total weight of the box and packaging material is 1 pound. Which of the following numeric expressions represents the weight, in pounds, of 1 roll of these paper towels?

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Correct Answer:F

8. Assuming a use of 5 paper towel sheets per day, what is the least number of boxes of paper towels that should be ordered to ensure a 2-year supply?

A. 1
B. 2
C. 3
D. 4
E. 5

Correct Answer:D

9. On the number line below, the distance between 0 and 10 is divided into 7 segments of equal length by the points with locations a through f. Which of the following mathematical statements about ​\( \sqrt[]{10} \)​ is true?

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Correct Answer:H

10. What is the solution to ​\( 1-\frac{2}{x}=\frac{x}{x+5} \)​?

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Correct Answer:D

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