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A stack of 75 identical plastic plates forms a column approximately 97 inches tall. At this rate, which of the following is closest to the number of plates that would be needed to form a column 20 inches tall?

A) 125
B) 150
C) 185
D) 220

Answer :

Final answer:

To find the number of plates needed to form a column 20 inches tall, set up a proportion and solve for x.


Explanation:

To find the number of plates needed to form a column 20 inches tall, we can set up a proportion based on the given information. Since the height of the column is directly proportional to the number of plates, we have:

75 plates / 97 inches = x plates / 20 inches

Cross-multiplying, we get:

75 * 20 = 97 * x

Simplifying, we find:

x = (75 * 20) / 97 ≈ 15.464

Therefore, the closest number of plates needed to form a column 20 inches tall is 15.


Learn more about proportions here:

https://brainly.com/question/34018947


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