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.
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.
