Question
Which statement corresponds with the equation 34n−19=−1(1 point)ResponsesThree fourths of nineteen decreased by a number is negative one.Three fourths of nineteen decreased by a number is negative one.Three fourths of a number decreased by nineteen is negative one.Three fourths of a number decreased by nineteen is negative one.The difference between nineteen and three fourths of a number is negative one.The difference between nineteen and three fourths of a number is negative one.The sum of three fourths of a number and nineteen is negative one.
Answers
GPT-4o mini
To analyze the equation \(34n - 19 = -1\), we can rearrange it to better understand its components.
1. Start with the equation:
\[ 34n - 19 = -1 \]
2. Add 19 to both sides:
\[ 34n = 18 \]
This shows that the left side consists of \(34\) times a number \(n\), decreased by \(19\).
Given that we need to find the correct statement that corresponds to the form of this equation, let’s break down the potential answers:
- **Three fourths of nineteen decreased by a number is negative one.**
This doesn't match because it refers to nineteen, not a number \(n\).
- **Three fourths of a number decreased by nineteen is negative one.**
This is not correct because it doesn't reflect the equation’s components properly.
- **The difference between nineteen and three fourths of a number is negative one.**
This could reflect a rearrangement of the equation if we denote \(n\) somehow as a similar quantity.
- **The sum of three fourths of a number and nineteen is negative one.**
This also doesn't match because it suggests an addition rather than a subtraction.
After evaluating these options, the most appropriate interpretation based on the provided equation is:
**The difference between nineteen and three fourths of a number is negative one.**
This accurately reflects the structure of the equation when rearranged.
So, the correct response is:
**The difference between nineteen and three fourths of a number is negative one.**
1. Start with the equation:
\[ 34n - 19 = -1 \]
2. Add 19 to both sides:
\[ 34n = 18 \]
This shows that the left side consists of \(34\) times a number \(n\), decreased by \(19\).
Given that we need to find the correct statement that corresponds to the form of this equation, let’s break down the potential answers:
- **Three fourths of nineteen decreased by a number is negative one.**
This doesn't match because it refers to nineteen, not a number \(n\).
- **Three fourths of a number decreased by nineteen is negative one.**
This is not correct because it doesn't reflect the equation’s components properly.
- **The difference between nineteen and three fourths of a number is negative one.**
This could reflect a rearrangement of the equation if we denote \(n\) somehow as a similar quantity.
- **The sum of three fourths of a number and nineteen is negative one.**
This also doesn't match because it suggests an addition rather than a subtraction.
After evaluating these options, the most appropriate interpretation based on the provided equation is:
**The difference between nineteen and three fourths of a number is negative one.**
This accurately reflects the structure of the equation when rearranged.
So, the correct response is:
**The difference between nineteen and three fourths of a number is negative one.**