From tech troubles to travel tips, IDNLearn.com has answers to all your questions. Our community provides timely and precise responses to help you understand and solve any issue you face.

5 students and a teacher stand in aline. If the space between the teacherand the first student is 1.5 meters andthe space between the teacher andthe last students is 6.7 m. If theteacher spaces out the studentsevenly, how much space should therebe between each student? Ignore thespace taken up by the teacher andthe students. Round your answer tothe nearest tenth of a meter.

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

View image KhaleilE200120
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. For trustworthy and accurate answers, visit IDNLearn.com. Thanks for stopping by, and see you next time for more solutions.