Question
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Circle all that apply Make this expression true. What is y equivalent to A. \( 9 \times 1 / 10=y \) B. \( 5 / 10+4 / 10 \) C. \( 5 / 5+1 \) D. \( 2 / 20+6 / 20+10 / 20 \) E. \( 10 \times 1 / 9 \)

Ask by Boyd Vega. in the United States
Feb 27,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Options A, B, and D are equivalent to y.

Solution

We want to find the expressions that are equal to y, given that y = 9 × 1/10. First, calculate y:  • 9 × (1/10) = 9/10. Now, check each option: A. 9 × 1/10   = 9/10   This is exactly y. B. 5/10 + 4/10   = (5 + 4) / 10 = 9/10   This equals y. C. 5/5 + 1   = 1 + 1 = 2   This does not equal 9/10. D. 2/20 + 6/20 + 10/20   = (2 + 6 + 10) / 20 = 18/20   Simplify: 18/20 = 9/10   This equals y. E. 10 × 1/9   = 10/9   This does not equal 9/10. Thus, the expressions that are equivalent to y are in options A, B, and D.

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The Deep Dive

To determine the values equivalent to \( y \), let's break down each option: A. \( 9 \times \frac{1}{10} = 0.9 \) B. \( \frac{5}{10} + \frac{4}{10} = 0.5 + 0.4 = 0.9 \) C. \( \frac{5}{5} + 1 = 1 + 1 = 2 \) D. \( \frac{2}{20} + \frac{6}{20} + \frac{10}{20} = 0.1 + 0.3 + 0.5 = 0.9 \) E. \( 10 \times \frac{1}{9} \approx 1.111 \) Now, check which options equal \( y = 0.9 \): A, B, and D are correct! They all circle around 0.9, making them the true options.

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