Question

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

403
Start Fraction 40 over 3 End Fraction

193+43(10−7⋅4)
193 plus Start Fraction 4 over 3 End Fraction left parenthesis 10 minus 7 times 4 right parenthesis

5
5

193+43(10−7⋅1)

Answer 1

To determine which expression is equal to \( 1930 + 43(10 - 7 \cdot 40) \), we need to simplify the given expression and see if it matches any of the options.

Let's simplify \( 1930 + 43(10 - 7 \cdot 40) \):

1. Calculate \( 7 \cdot 40 \):
\[
7 \cdot 40 = 280
\]

2. Substitute it back into the expression:
\[
1930 + 43(10 - 280)
\]

3. Calculate \( 10 - 280 \):
\[
10 - 280 = -270
\]

4. Substitute it back:
\[
1930 + 43 \cdot (-270)
\]

5. Calculate \( 43 \cdot (-270) \):
\[
43 \cdot (-270) = -11610
\]

6. Now, combine the results:
\[
1930 - 11610 = -9670
\]

Now, we will analyze the options:

1. **403**: Not equal to -9670.

2. **\(\frac{40}{3}\)**: Not equal to -9670.

3. **\(193 + 43(10 - 7 \cdot 4)\)**: Calculate:
- \(7 \cdot 4 = 28\)
- So \(10 - 28 = -18\).
- Then calculate \(43 \cdot (-18) = -774\).
- Now \(193 - 774 = -581\). Not equal to -9670.

4. **5**: Not equal to -9670.

5. **\(193 + 43(10 - 7 \cdot 1)\)**: Calculate:
- \(7 \cdot 1 = 7\)
- So \(10 - 7 = 3\).
- Then calculate \(43 \cdot 3 = 129\).
- Now \(193 + 129 = 322\). Not equal to -9670.

After evaluating all options, none of the provided expressions are equal to \( 1930 + 43(10 - 7 \cdot 40) \).