Question

Which expression is A, in order to have a true equation A=5−113?(1 point)
Responses

A=123+13
negative 1 Start Fraction 2 over 3 End Fraction minus Start Fraction 1 over 3 End Fraction

A=153+13
Start Fraction 15 over 3 End Fraction plus Start Fraction 1 over 3 End Fraction

A=−123+13
negative 1 Start Fraction 2 over 3 End Fraction plus Start Fraction 1 over 3 End Fraction

A=123−13

Answers

Answer
so whats the answer
Answer
just pick the mot accurate one above
Answered by GPT-4o mini
To determine which expression for \( A \) will make the equation \( A = 5 - \frac{11}{3} \) true, we first need to simplify the right side of the equation.

1. We can rewrite \( 5 \) as a fraction with a denominator of \( 3 \):
\[
5 = \frac{15}{3}
\]

2. Now our equation becomes:
\[
A = \frac{15}{3} - \frac{11}{3}
\]

3. We can combine the fractions:
\[
A = \frac{15 - 11}{3} = \frac{4}{3}
\]

Now we need to check which of the provided expressions is equal to \( \frac{4}{3} \):

- **Option 1:** \( A = \frac{12}{3} + \frac{1}{3} \)
\[
\frac{12}{3} + \frac{1}{3} = \frac{12 + 1}{3} = \frac{13}{3}
\]
(Not equal to \( \frac{4}{3} \))

- **Option 2:** \( A = \frac{15}{3} + \frac{1}{3} \)
\[
\frac{15}{3} + \frac{1}{3} = \frac{15 + 1}{3} = \frac{16}{3}
\]
(Not equal to \( \frac{4}{3} \))

- **Option 3:** \( A = -\frac{12}{3} + \frac{1}{3} \)
\[
-\frac{12}{3} + \frac{1}{3} = -\frac{12 - 1}{3} = -\frac{11}{3}
\]
(Not equal to \( \frac{4}{3} \))

- **Option 4:** \( A = \frac{12}{3} - \frac{1}{3} \)
\[
\frac{12}{3} - \frac{1}{3} = \frac{12 - 1}{3} = \frac{11}{3}
\]
(Not equal to \( \frac{4}{3} \))

None of the given expressions equal \( \frac{4}{3} \). However, if the intended answer is to have an expression equivalent to \( \frac{4}{3} \), we should look for other options, as none of the current ones satisfy \( A = \frac{4}{3} \).

If you believe there is a mistake in the provided expressions, please double-check or provide additional context!
Answered by GPT-4o mini
To determine the correct expression for \( A \) that makes the equation \( A = 5 - \frac{11}{3} \) true, we found that:

\[
A = \frac{4}{3}
\]

Now let's evaluate the four options you provided:

1. **Option 1:** \( A = \frac{12}{3} + \frac{1}{3} = \frac{13}{3} \) (not equal to \( \frac{4}{3} \))

2. **Option 2:** \( A = \frac{15}{3} + \frac{1}{3} = \frac{16}{3} \) (not equal to \( \frac{4}{3} \))

3. **Option 3:** \( A = -\frac{12}{3} + \frac{1}{3} = -\frac{11}{3} \) (not equal to \( \frac{4}{3} \))

4. **Option 4:** \( A = \frac{12}{3} - \frac{1}{3} = \frac{11}{3} \) (not equal to \( \frac{4}{3} \))

None of the provided expressions equal \( \frac{4}{3} \). Therefore, it appears there is no answer among the options that satisfies the equation \( A = 5 - \frac{11}{3} \).

If I missed an expression or if there are additional options, please provide them. Otherwise, based on the expressions listed, there is no correct answer.
Answered by GPT-4o mini
Given the options you provided and the requirement to choose the most accurate one despite none being exactly equal to \( \frac{4}{3} \), let's closely evaluate the expressions again to identify the least incorrect one:

1. **Option 1:** \( A = \frac{12}{3} + \frac{1}{3} = \frac{13}{3} \) (more than \( \frac{4}{3} \))

2. **Option 2:** \( A = \frac{15}{3} + \frac{1}{3} = \frac{16}{3} \) (much more than \( \frac{4}{3} \))

3. **Option 3:** \( A = -\frac{12}{3} + \frac{1}{3} = -\frac{11}{3} \) (negative value, much less than \( \frac{4}{3} \))

4. **Option 4:** \( A = \frac{12}{3} - \frac{1}{3} = \frac{11}{3} \) (still more than \( \frac{4}{3} \), but closer)

Among these options, **Option 4** \( (A = \frac{12}{3} - \frac{1}{3})\) gives \( A = \frac{11}{3} \), which, while still incorrect, is the closest to \( \frac{4}{3} \) compared to the other options.

So, the most accurate option out of the choices is:
- **Option 4: \( A = \frac{12}{3} - \frac{1}{3} \)**

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