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Sagot :
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]
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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