Question
Last month Maria hiked a total of 90 miles on two trails: a 5-mile mountain trail and a 10-mile canal trail. Let x represent the number of times Maria hiked the mountain trail, and let y represent the number of times Maria hiked the canal trail.
Fill in the blanks to write the equation for the total number of miles Maria hiked.
(3 points)
x + 10
=
Fill in the blanks to write the equation for the total number of miles Maria hiked.
(3 points)
x + 10
=
Answers
GPT-4o mini
To represent the total number of miles Maria hiked using the variables \(x\) and \(y\), we need to consider the distances of each trail.
Maria hiked the mountain trail (5 miles) \(x\) times and the canal trail (10 miles) \(y\) times. Therefore, the total number of miles can be represented by:
\[
5x + 10y = 90
\]
To fill in the blanks for your equation, we can refer to the original structure given as "x + 10 = ".
To express the total miles in a simpler way, it can be rewritten based on the individual contributions:
The correct formulation focusing on the given structure would be:
\[
5x + 10y = 90 \\
\]
This can be rearranged as:
\[
5x = 90 - 10y \\
\]
However, given your blanks, we can interpret them as follows:
If you want to express the total in a simplified form relating to terms of \(x\) and total miles, the completed statement based on your structure doesn’t directly fit. Instead, you would be making it clearer based on existing terms.
Overall, to fill in the blanks correctly, there seems to be a misunderstanding in the initial framing; the needed equation:
So:
1. To represent total miles:
\(5x + 10y = 90\)
Since you ask for “x + 10 =”, it seems like an interpretation error from the original prompt. You might want to clarify it based on specific conditions or entries based on original variables you input unless mistakes are made by misinterpreting the directives.
Maria hiked the mountain trail (5 miles) \(x\) times and the canal trail (10 miles) \(y\) times. Therefore, the total number of miles can be represented by:
\[
5x + 10y = 90
\]
To fill in the blanks for your equation, we can refer to the original structure given as "x + 10 = ".
To express the total miles in a simpler way, it can be rewritten based on the individual contributions:
The correct formulation focusing on the given structure would be:
\[
5x + 10y = 90 \\
\]
This can be rearranged as:
\[
5x = 90 - 10y \\
\]
However, given your blanks, we can interpret them as follows:
If you want to express the total in a simplified form relating to terms of \(x\) and total miles, the completed statement based on your structure doesn’t directly fit. Instead, you would be making it clearer based on existing terms.
Overall, to fill in the blanks correctly, there seems to be a misunderstanding in the initial framing; the needed equation:
So:
1. To represent total miles:
\(5x + 10y = 90\)
Since you ask for “x + 10 =”, it seems like an interpretation error from the original prompt. You might want to clarify it based on specific conditions or entries based on original variables you input unless mistakes are made by misinterpreting the directives.