Let's break down each question one by one:
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Expression Equivalent to 17x + 10 - 3(2x + 1): We start by applying the distributive property to the expression \( -3(2x + 1) \): \[ -3(2x + 1) = -6x - 3 \] Now, substituting back into the expression: \[ 17x + 10 - 6x - 3 \] Combine like terms: \[ (17x - 6x) + (10 - 3) = 11x + 7 \] Therefore, the equivalent expression is: 11x + 7
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Simone's Error: According to what was presented: Simone says that \( 28 + 60 = 4(7 + 20) \). To use the greatest common factor correctly, she should have correctly identified the factors of 28 and 60. The GCF of 28 and 60 is actually 4. She used "7" and "20" as factors for \( 28 \) and \( 60 \) respectively, which is incorrect since she has mixed them up. Therefore, the best statement describing her error is: Simone did not use the correct factors for 60 in the equation.
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Expression for "On Wednesday, Nathaniel earned $10 more than he earned on Tuesday": If we represent Nathaniel’s earnings on Tuesday as \( n \), then his earnings on Wednesday would be \( n + 10 \) because he earned $10 more on that day. Therefore, the correct expression to model the situation is: n + 10
In summary:
- 11x + 7
- Simone did not use the correct factors for 60 in the equation.
- n + 10