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Sagot :
1.3 meter
Explanation
Step 1
Let
red dot = teacher
green dots= students
space between the teacher and the first student is 1.5=black line
space between the teacher and the last students is 6.7 m= blue line
space between each estudent= unknow value= purple line= x
Step 2
make the equation
blue line = blackline + 4*purple line
replace,
[tex]\begin{gathered} 6.7=1.5+(4\cdot x) \\ 6.7=1.5+4x \end{gathered}[/tex]Step 3
solve for x
[tex]\begin{gathered} 6.7=1.5+4\text{x} \\ \text{subtract 1.5 in both sides} \\ 6.7-1.5=1.5+4x\text{ -1.5} \\ 5.2=4x \\ \text{divide each side by }4 \\ \frac{5.2}{4}=\frac{4x}{} \\ x=1.30 \end{gathered}[/tex]Rounded it is 1.3 meter

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