Assignment: 
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Answer: 
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Explanation: 
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[ Step One ] Rewrite 

[ Step Two ] Apply perfect square formula
Note: Perfect Square Formula: 


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Answer: Our variable be z for fair admission and our required linear equation will be

Explanation:
Since we have given that
Cost per ticket for the rides =$1.50
Total amount she spent = $48.75
Let the total cost be y
Let the number of ride tickets be x
<u>a) Define your variable:</u>
Let the amount spent on fair admission be z
<u>b) Write a linear equation that can be used to determine the cost for ride tickets and fair admission:</u>
Our required equation will be

Here, number of ride tickets = 20
So,

So, the cost for fair admission = $18.75
Answer:
1
Step-by-step explanation:
Divide it and you'll get 1 always
Answer:
-12,9
Step-by-step explanation:
Answer:
7.5 hours
Step-by-step explanation:
<u>1 method:</u>
Amber drove at an average speed of 55 mph.
Austin averaged 75 mph per hour.
The difference in speed is 20 mph, this means that each hour Austin drove 20 miles more.
Amber drove 110 miles in 2 hours, then Austin needs 110:2=5.5 hours to catch Amber, so in total after 5.5+2=7.5 hours Austin will catch up Amber.
<u>2 method:</u>
Let t hours be the time Amber was driving, then t-2 hours ia Austin's time.
Amber distance = 55t miles
Austin's distance = 75(t-2) miles
When Austin caught up with Amber, their distances are the same:
