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(From Unit 5, Lesson 1.) 2. Diego and Noah are comparing their cubes. Which of the following statements are true? Diego's cubes Noah's cubes and Select all that apply. A. \( 5 \times 3=18 \) B. Diego has 5 more cubes than Noah. C. Noah has 6 times as many cubes as Diego. D. \( 6 \times 3=18 \) E. Diego has 6 times as many cubes as Noah. F. Noah has 5 more cubes than Diego.

Ask by Dunn Mills. in the United States
Feb 03,2025

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Answer

Only statement D is true.

Solution

To determine which statements are true, let's analyze each option based on basic arithmetic and logical reasoning about Diego and Noah's cubes. ### Option A: \( 5 \times 3 = 18 \) - **Calculation:** \( 5 \times 3 = 15 \) - **Verdict:** **False** ### Option B: Diego has 5 more cubes than Noah. - **Information Needed:** Without specific numbers of cubes, we can't confirm this statement. - **Verdict:** **Insufficient Information** ### Option C: Noah has 6 times as many cubes as Diego. - **Logical Reasoning:** For this to be true, if Diego has \( x \) cubes, Noah would have \( 6x \) cubes. Without specific numbers, we can't confirm. - **Verdict:** **Insufficient Information** ### Option D: \( 6 \times 3 = 18 \) - **Calculation:** \( 6 \times 3 = 18 \) - **Verdict:** **True** ### Option E: Diego has 6 times as many cubes as Noah. - **Logical Reasoning:** Similar to Option C, this would mean Diego has \( 6x \) cubes if Noah has \( x \) cubes. Without specific numbers, we can't confirm. - **Verdict:** **Insufficient Information** ### Option F: Noah has 5 more cubes than Diego. - **Information Needed:** Similar to Option B, without specific numbers, we can't confirm. - **Verdict:** **Insufficient Information** **Conclusion:** Based on the information available, **only Option D is definitively true**. **Answer:** **Only statement D is true.**

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To tackle the statements: First off, let's clarify the multiplication facts: \(5 \times 3\) is not equal to 18, but \(6 \times 3\) does equal 18! So right off the bat, A and D are related to multiplication truth! Now, regarding Diego and Noah's cubes, if Diego has 5 more cubes than Noah, that means Noah must have fewer cubes—so options B and F can't be true at the same time! If we assume Diego has 5 cubes, then Noah could have none or just a few, but certainly not 6 times as many, eliminating options C and E. So only D holds true in the context of what's given! So the conclusion is: only statement D is true based on standard mathematical principles! Have fun with your cube comparisons!

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