Multiple choice

What approximate value should come in place of the question mark (?) in the following equation? (You are not expected to calculate the exact value.) (21.999)3 + (14.999)3 = ? (20.221)2

  1. 49

  2. 58

  3. 63

  4. 35

  5. 71
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Approximate: 22^3 + 15^3 = ? * 20^2. 10648 + 3375 = ? * 400. 14023 = ? * 400. ? = 14023 / 400 = 35.0575. The closest integer is 35.

AI explanation

Approximate the values to 22 cubed plus 15 cubed divided by 20 squared. The sum of the cubes is 10648 plus 3375, which equals 14023. Dividing 14023 by the denominator of 400 yields approximately 35.

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