Answer:
represents the transport cost per student in the expression.
Step-by-step explanation:
Given: For trip,
Admission fee per student = $10
Transport cost (for all students0 = $200
Here, S represents the number of students went on the field trip.
Transport cost per student = (Total cost) ÷ Total student
So,
represents the transport cost per student.
Hence,
represents the transport cost per student in the expression.
Answer:
x = 3 and y = 2
x = 1.25 and y = 1.75
Step-by-step explanation:
Part 1:
See the diagram first.
If the two arrow lines are parallel then, the two triangles are similar.
So, the corresponding sides of the triangles are proportional.
So,
Hence, x = 3 and y = 2 (Answer)
Part 2:
See the diagram first.
If the two arrow lines are parallel then, the two triangles are similar.
So, the corresponding sides of the triangles are proportional.
So,
⇒
⇒ x = 1.25
Again,
⇒ y = 1.75
Hence, x = 1.25 and y = 1.75 (Answer)
Setting them equal to whatever the perimeter is
Given:
The expression is:
![\dfrac{60m^{-2}n^6}{5m^{-4}n^{-2}}](https://tex.z-dn.net/?f=%5Cdfrac%7B60m%5E%7B-2%7Dn%5E6%7D%7B5m%5E%7B-4%7Dn%5E%7B-2%7D%7D)
To find:
The equivalent expression.
Solution:
We have,
![\dfrac{60m^{-2}n^6}{5m^{-4}n^{-2}}](https://tex.z-dn.net/?f=%5Cdfrac%7B60m%5E%7B-2%7Dn%5E6%7D%7B5m%5E%7B-4%7Dn%5E%7B-2%7D%7D)
It can be written as:
![=\dfrac{60}{5}\times \dfrac{m^{-2}}{m^{-4}}\times \dfrac{n^6}{n^{-2}}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B60%7D%7B5%7D%5Ctimes%20%5Cdfrac%7Bm%5E%7B-2%7D%7D%7Bm%5E%7B-4%7D%7D%5Ctimes%20%5Cdfrac%7Bn%5E6%7D%7Bn%5E%7B-2%7D%7D)
![[\because \dfrac{a^m}{a^n}=a^{m-n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cdfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D%5D)
![=12\times m^{-2+4}\times n^{6+2}](https://tex.z-dn.net/?f=%3D12%5Ctimes%20m%5E%7B-2%2B4%7D%5Ctimes%20n%5E%7B6%2B2%7D)
![=12m^{2}n^{8}](https://tex.z-dn.net/?f=%3D12m%5E%7B2%7Dn%5E%7B8%7D)
Therefore, the correct option is A.
Answer:
1.666666666666666666666666666666666666666666666666666
Step-by-step explanation: