Math  /  Algebra

QuestionThe tape diagram represents an equation. \begin{tabular}{|l|l|l|l|l|l|} \hlinett & tt & tt & tt & tt & tt \\ \hline \multicolumn{4}{|c|}{9} \\ \hline \multicolumn{4}{|c|}{9} \\ \hline \end{tabular}
Write an equation to represent the image. \square

Studdy Solution

STEP 1

1. The tape diagram is a visual representation of an equation.
2. Each section labeled t t represents the same unknown value.
3. The sections labeled with numbers represent known values.

STEP 2

1. Understand the tape diagram.
2. Translate the tape diagram into an algebraic equation.
3. Simplify the equation if necessary.

STEP 3

The tape diagram shows six sections labeled t t , and two groups of four sections that sum to 9 each.

STEP 4

The diagram can be interpreted as follows:
- The first four sections labeled t t sum to 9. - The next four sections labeled t t also sum to 9.
This can be translated into the equation:
4t=9 4t = 9

STEP 5

Since the problem only asks for the equation that represents the image, there is no need to solve for t t .
The equation representing the tape diagram is:
4t=9 \boxed{4t = 9}

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