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Which expressions are equivalent to [tex]$89x + 6.2 + 877$[/tex]? Check all that apply.

A. [tex]$9x + 6 + 9$[/tex]
B. [tex]$89 + 62 + 87x$[/tex]
C. [tex]$69x + 8.7 + 6.2$[/tex]
D. [tex]$8.7 + 8.9x + 62$[/tex]
E. [tex]$62 + 8.7 + 8.9$[/tex]
F. [tex]$62 + 8.7 + 8.9x$[/tex]
G. [tex]$8.9 + 62x + 87$[/tex]

Answer :

Sure! Let's break down the problem step-by-step. We're trying to determine which of the provided expressions are equivalent to [tex]\( 89x + 6.2 + 877 \)[/tex].

1. Simplify the original expression:
- Combine the constant terms in [tex]\( 89x + 6.2 + 877 \)[/tex]:
[tex]\( 89x + 6.2 + 877 = 89x + 883.2 \)[/tex].

2. Check each option against the simplified expression [tex]\( 89x + 883.2 \)[/tex]:

- Option 1: [tex]\( 9x + 6 + 9 \)[/tex]
- Simplify: [tex]\( 9x + 15 \)[/tex]
- Comparison: This does not match [tex]\( 89x + 883.2 \)[/tex].

- Option 2: [tex]\( 89 + 62 + 87x \)[/tex]
- Simplify: [tex]\( 87x + 151 \)[/tex]
- Comparison: This does not match [tex]\( 89x + 883.2 \)[/tex].

- Option 3: [tex]\( 69x + 8.7 + 6.2 \)[/tex]
- Simplify: [tex]\( 69x + 14.9 \)[/tex]
- Comparison: This does not match [tex]\( 89x + 883.2 \)[/tex].

- Option 4: [tex]\( 8.7 + 8.9x + 62 \)[/tex]
- Simplify: [tex]\( 8.9x + 70.7 \)[/tex]
- Comparison: This does not match [tex]\( 89x + 883.2 \)[/tex].

- Option 5: [tex]\( 62 + 8.7 + 8.9 \)[/tex]
- Simplify: [tex]\( 79.6 \)[/tex]
- Comparison: This does not match [tex]\( 89x + 883.2 \)[/tex].

- Option 6: [tex]\( 6 \times 2 + 8.7 + 8.9x \)[/tex]
- Simplify: [tex]\( 12 + 8.7 + 8.9x = 8.9x + 20.7 \)[/tex]
- Comparison: This does not match [tex]\( 89x + 883.2 \)[/tex].

- Option 7: [tex]\( 8.9 + 62x + 87 \)[/tex]
- Simplify: [tex]\( 62x + 95.9 \)[/tex]
- Comparison: This does not match [tex]\( 89x + 883.2 \)[/tex].

3. Conclusion:
- After evaluating all the options provided, none of the expressions are equivalent to [tex]\( 89x + 883.2 \)[/tex].

So, none of the given expressions match the original expression when simplified.

Thanks for taking the time to read Which expressions are equivalent to tex 89x 6 2 877 tex Check all that apply A tex 9x 6 9 tex B tex 89 62. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

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