Question
There are 6 feet in 2 yards, which is represented by the equation \( 2 y=6 x \). Determine the number of feet in a yar
Ask by Summers Rodriguez. in the United States
Feb 19,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
There are 3 feet in a yard.
Solution
To determine the number of feet in a yard from the equation \( 2y = 6x \), we can follow these steps:
1. **Identify the variables**:
- Let \( y \) represent the number of yards.
- Let \( x \) represent the number of feet.
2. **Rearrange the equation**:
We want to express \( y \) in terms of \( x \). The equation \( 2y = 6x \) can be rearranged to find the relationship between yards and feet.
3. **Solve for \( y \)**:
\[
y = \frac{6}{2} x
\]
Simplifying this gives:
\[
y = 3x
\]
4. **Interpret the result**:
This means that 1 yard is equivalent to 3 feet.
Thus, the number of feet in a yard is \( 3 \).
Answered by UpStudy AI and reviewed by a Professional Tutor
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Bonus Knowledge
One yard is equal to 3 feet! So, if you have 2 yards, that equals \(2 \times 3 = 6\) feet, which matches your equation \(2y = 6x\). This simple relationship makes it easy to convert between yards and feet in a snap! In practical terms, this conversion is super useful—especially for anyone involved in DIY projects, gardening, or sports! For example, if you're laying out a soccer field or measuring fabric for sewing, knowing that 1 yard equals 3 feet helps you avoid confusion and measure accurately. No one wants to come up short on fabric for that perfect sewing project!