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Question
Which of the following expressions is equal to 1930+43(10−7⋅40)
?(1 point)
Responses

5
5

193+43(10−7⋅4)
193 plus 4 thirds times open paren 10 minus 7 times 4 close paren

193+43(10−7⋅1)
193 plus 4 thirds times open paren 10 minus 7 times 1 close paren

403
40 thirds
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1 answer

To simplify the expression \( 1930 + 43(10 - 7 \cdot 40) \), we start by calculating the term inside the parentheses:

  1. Calculate \( 7 \cdot 40 \):

    \[ 7 \cdot 40 = 280 \]

  2. Now substitute this back into the expression:

    \[ 10 - 280 = -270 \]

  3. Now substitute into the original expression:

    \[ 1930 + 43(-270) \]

  4. Multiply \( 43 \cdot -270 \):

    \[ 43 \cdot -270 = -11610 \]

  5. Now combine it with 1930:

    \[ 1930 - 11610 = -9670 \]

Certain responses provided as answers are not directly simplified properly or they may represent different forms of the expression rather than numerical evaluation. However, following through, \( 1930 + 43(10 - 7 \cdot 40) \) simplifies directly to an actual numeric value rather than any alternative forms.

Thus, none of the given responses (5, \( 193 + 43(10 - 7 \cdot 4) \), \( 193 + 43(10 - 7 \cdot 1) \), \( 403 \), or \( 40 \) thirds) represent the numerical expression evaluated.

So based on the evaluation, the closest option to proper error handling regarding the operation would generally be a check to confirm based on internal algebra, but currently, none of the above simplify directly.

Final answer based on proper placement: None of the options are correct as they do not equal to \(-9670\), so you might want to verify the context of the options considering corrections in simplification.