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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

5 answers

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!

so whats the answer

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.

just pick the mot accurate one above

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: \( A = \frac{12}{3} - \frac{1}{3} \)