Answer:
is equivalent to 
Step-by-step explanation:
Using exponent rules:

Given the expression:

⇒
Apply the exponent rule, we have;

Therefore, the given expression
is equivalent to 
Answer:
a) Total cost = 49 + 38.75m
b) Total cost = 149 + 38.75m
c) The graphs of the lines are parallel and both has slope of - 2.5
d)Difference in total cost = $132.5
Step-by-step explanation:
Total cost , TC = Initial membership fee + monthly charges
a) TC = 49 + 38.75m
b)TC = 149 + 38.75m
d) 149 + 38.75(6months) = 381.5
49 + 38.75(12months) = 514
Difference in total cost = 514 -381.5 = $132.5
Answer: The required inequality is
and its solution is 
Step-by-step explanation: Given that Mustafa, Heloise, and Gia have written more than a combined total of 22 articles for the school newspaper.
Also, Heloise has written
as many articles as Mustafa has and Gia has written
as many articles as Mustafa has.
We are to write an inequality to determine the number of articles, m, Mustafa could have written for the school newspaper. Also, to solve the inequality.
Since m denotes the number of articles that Mustafa could have written. Then, according to the given information, we have

And the solution of the above inequality is as follows :

Thus, the required inequality is
and its solution is 
You want to get the total amount Henri has which is $14 then subtract the flat fee.
14-1.25=12.75, He has $12.75 left to pay for miles, Since the taxi charges .75 a mile, you get $12.75/.75= 17
Henri has enough to pay to ride 17 miles.
Hope this helps
Answer:
Part 1) The algebraic expression is equal to
or 
Part 2) The algebraic expression is equal to 
Step-by-step explanation:
Part 1) Algebraic expression of (n-1) increased by 110%
we know that
110%=110/100=1.10
so
The algebraic expression of (n-1) increased by 110% is equal to multiply 1.10 by (n-1)

Distributed

Part 2) Algebraic expression of n^(-1) increased by 110%
we know that
110%=110/100=1.10
so
The algebraic expression of n^(-1) increased by 110% is equal to multiply 1.10 by n^(-1)
Remember that

so
