Question

A farmer sets up two corn mazes for a fall festival, as shown in this model.Which equivalent expressions are represented by the model? Check the three that apply.(3 points)Responses(5)(3)+(5)(1)5 times 3 plus 5 times 15(3+1)5 times open paren 3 plus 1 close paren15+515 plus 53(5+1)3 times open paren 5 plus 1 close paren3+(5+1)3 plus open paren 5 plus 1 close parenSkip to navigation

Answer 1

To analyze the expressions represented by the corn mazes, we can rewrite each expression you provided and check for equivalency.

Let's evaluate each option:

1. (5)(3) + (5)(1):

   • This expands to \( 15 + 5 = 20 \).

2. 5 times 3 plus 5 times 1:

   • This is the same as the first expression: \( 5 \times 3 + 5 \times 1 = 15 + 5 = 20 \).

3. (3 + 1)5:

   • This can be interpreted as \( 4 \times 5 = 20 \) (incorrect in parsing the notation as written).

4. 15 + 5:

   • This equals \( 20 \).

5. 3(5 + 1):

   • This expands to \( 3 \times 6 = 18 \) (not equivalent).

6. 3 + (5 + 1):

   • This simplifies to \( 3 + 6 = 9 \) (not equivalent).

Based on the evaluations:

The three equivalent expressions are:

1. (5)(3) + (5)(1)
2. 5 times 3 plus 5 times 1
3. 15 + 5

Therefore, the three responses that apply are the first two options and the fourth option.