Answer:
1. Expression can be rewritten as
and
![-m+4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mt9nm400g9t5sfuqkp9wrdsjzmmmm123oc.png)
2. The expression for total cost for a visit =
and the Total Cost to visit the fair for 20 tickets is
![\$80.50](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3ega1jarjci0oug341x3znqftsjewwicf1.png)
3. B.
![-x+8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qex1p6hqzztlivqkzle0spsaq223bq1ec0.png)
Explanation:
1. Solving for first Question
Given expression are
and
![2m-3m+4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8pan5tw8l60vh9gdz1it88qu2ben8e77jj.png)
Solving equation we get,
![8pq-3pq=5pq\\2m-3m+4=-m+4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fk9gxbf2t0652ium5zwrbwq0j1ikcjhm8v.png)
Expression can be rewritten as
and
![-m+4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mt9nm400g9t5sfuqkp9wrdsjzmmmm123oc.png)
2. Solving for 2 Question
Given
Fixed cost of carnival =
![\$ 10.50](https://img.qammunity.org/2020/formulas/mathematics/middle-school/w8ra1whkccxigxp2ji2iahgy9366p6xohq.png)
Additional Cost per ticket for food and ride =
![\$ 3.50](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bjjq63l7d2cin5qo3qammzoqfswn5mxtlw.png)
represents number of tickets.
Total cost to visit carnival = Fixed cost of carnival + Additional Cost per ticket for food and ride
Number of tickets =
![\$ 10.50+\$ 3.50n](https://img.qammunity.org/2020/formulas/mathematics/middle-school/oxobx3m4q6myed0yuiqf745zllgqmjn8yf.png)
algebraic expression to represent the total cost for a visit to the carnival =
![\$ 10.50+\$ 3.50n](https://img.qammunity.org/2020/formulas/mathematics/middle-school/oxobx3m4q6myed0yuiqf745zllgqmjn8yf.png)
Now Number of tickets sold n = 20
Total cost to visit carnival=
![\$ 10.50+\$ 3.50n= \$ 10.50+\$ 3.50*20= \$ 10.50+\$ 70 =\$ 80.50](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4epd2hdlzfvskvzh8327iy0ty5yirr97ju.png)
Total Cost to visit the fair for 20 tickets is
![\$80.50](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3ega1jarjci0oug341x3znqftsjewwicf1.png)
3. Solving for 3 question.
Given :
![(8-4(x-6))/(4)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5u9eosbo4qi230g1rqsr2rrw0qtovxulv3.png)
Solving Above equation we get:
![(8-4(x-6))/(4)= (4(2-x+6))/(4)=-x+8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/y4kbmthcnoqqko32zavvcsrew1wsx3wbj8.png)
Hence the answer is B.
![-x+8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qex1p6hqzztlivqkzle0spsaq223bq1ec0.png)