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Irene multiplies two different numbers. Complete the grid, then give the answer below.

[tex]\[
\begin{tabular}{c|c|c|c}
\hline
$x$ & & 20 & 3 \\
\hline
& 2000 & & 60 \\
\hline
6 & & 120 & 18 \\
\hline
\end{tabular}
\][/tex]

Answer:

Sagot :

GinnyAnsweridn
Let’s complete the grid step-by-step:

First, consider the initial grid:
[tex]\[ \begin{array}{c|c|c|c} \hline x & & 20 & 3 \\ \hline & 2000 & & 60 \\ \hline 6 & & 120 & 18 \\ \hline \end{array} \][/tex]

1. Find the missing value in the first row, second column:
- We know that:
[tex]\[ \text{Value at [0][1]} \times 6 = 2000 \][/tex]
- Solving for the missing value:
[tex]\[ \text{Value at [0][1]} = \frac{2000}{6} = 333 \][/tex]
- The updated grid looks like:
[tex]\[ \begin{array}{c|c|c|c} \hline x & 333 & 20 & 3 \\ \hline & 2000 & & 60 \\ \hline 6 & & 120 & 18 \\ \hline \end{array} \][/tex]

2. Find the missing value in the second row, third column:
- We know that value:
[tex]\[ \text{Value at [1][2]} \times 20 = 2000 \][/tex]
- Solving for the missing value:
[tex]\[ \text{Value at [1][2]} = \frac{2000}{20} = 100 \][/tex]
- The updated grid looks like:
[tex]\[ \begin{array}{c|c|c|c} \hline x & 333 & 20 & 3 \\ \hline & 2000 & 100 & 60 \\ \hline 6 & & 120 & 18 \\ \hline \end{array} \][/tex]

3. Find the missing value in the third row, second column:
- We know that value:
[tex]\[ 6 \times \text{Value at [2][1]} = 18 \][/tex]
- Solving for the missing value:
[tex]\[ \text{Value at [2][1]} = \frac{18}{6} = 3 \][/tex]
- The updated grid looks like:
[tex]\[ \begin{array}{c|c|c|c} \hline x & 333 & 20 & 3 \\ \hline & 2000 & 100 & 60 \\ \hline 6 & 3 & 120 & 18 \\ \hline \end{array} \][/tex]


Finally, as stated, the completed grid is:
[tex]\[ \begin{array}{c|c|c|c} \hline x & 333 & 20 & 3 \\ \hline & 2000 & 100 & 60 \\ \hline 6 & 3 & 120 & 18 \\ \hline \end{array} \][/tex]
The answer is the resulting complete grid:
[tex]\[ \begin{array}{c|c|c|c} \hline \text{None} & 333 & 20 & 3 \\ \hline \text{None} & 2000 & 100 & 60 \\ \hline 6 & 3 & 120 & 18 \\ \hline \end{array} \][/tex]
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