Question
Which statement corresponds with the equation 34n−19=−1
(1 point)
Responses
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.
Three fourths of nineteen decreased by a number is negative one.
Three fourths of nineteen decreased by a number is negative one.
The sum of three fourths of a number and nineteen is negative one.
(1 point)
Responses
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.
Three fourths of nineteen decreased by a number is negative one.
Three fourths of nineteen decreased by a number is negative one.
The sum of three fourths of a number and nineteen is negative one.
Answers
GPT-4o mini
To determine which statement corresponds to the equation \( 34n - 19 = -1 \), we need to analyze the equation step by step.
1. Start with the equation:
\[
34n - 19 = -1
\]
2. Rearranging the equation gives us:
\[
34n = -1 + 19
\]
\[
34n = 18
\]
So, the left side of the equation represents "34 times a number (n)" decreased by 19 equaling -1.
Now, let's go through the options:
1. **Three fourths of a number decreased by nineteen is negative one.**
- This represents \( \frac{3}{4}n - 19 = -1 \), which is incorrect.
2. **The difference between nineteen and three fourths of a number is negative one.**
- This corresponds to \( 19 - \frac{3}{4}n = -1 \), which is also incorrect.
3. **Three fourths of nineteen decreased by a number is negative one.**
- This can be interpreted as \( \frac{3}{4} \times 19 - n = -1 \), which is not correct for our equation.
4. **The sum of three fourths of a number and nineteen is negative one.**
- This means \( \frac{3}{4}n + 19 = -1 \), which again does not correspond to our equation.
None of the statements directly match the equation \( 34n - 19 = -1 \) when analyzed carefully. However, if the statements were intended to convey a similar form, we'd expect one that focuses accurately on "34 times a number." Based on the closest interpretations in this context, none of the provided options are correct as per the equation \( 34n - 19 = -1 \).
If the problem was intended to feature "34n" rather than "three-fourths of a number,” it seems there's been a mix-up in presenting the choices. Ensure to clarify based on the exact expressions used in the choices.
1. Start with the equation:
\[
34n - 19 = -1
\]
2. Rearranging the equation gives us:
\[
34n = -1 + 19
\]
\[
34n = 18
\]
So, the left side of the equation represents "34 times a number (n)" decreased by 19 equaling -1.
Now, let's go through the options:
1. **Three fourths of a number decreased by nineteen is negative one.**
- This represents \( \frac{3}{4}n - 19 = -1 \), which is incorrect.
2. **The difference between nineteen and three fourths of a number is negative one.**
- This corresponds to \( 19 - \frac{3}{4}n = -1 \), which is also incorrect.
3. **Three fourths of nineteen decreased by a number is negative one.**
- This can be interpreted as \( \frac{3}{4} \times 19 - n = -1 \), which is not correct for our equation.
4. **The sum of three fourths of a number and nineteen is negative one.**
- This means \( \frac{3}{4}n + 19 = -1 \), which again does not correspond to our equation.
None of the statements directly match the equation \( 34n - 19 = -1 \) when analyzed carefully. However, if the statements were intended to convey a similar form, we'd expect one that focuses accurately on "34 times a number." Based on the closest interpretations in this context, none of the provided options are correct as per the equation \( 34n - 19 = -1 \).
If the problem was intended to feature "34n" rather than "three-fourths of a number,” it seems there's been a mix-up in presenting the choices. Ensure to clarify based on the exact expressions used in the choices.