Pretty sure that you got it right..
Answer:

Step-by-step explanation:
The denominators are the same. You can add the numerators without any extra work.

The denominator factors as (2x-3)(3x+4), so there are no factors that will cancel with the numerator.
Answer:
4
Step-by-step explanation:
Since the first quartile is at 25%, 25% of 20 is 5. The median is the 50% mark of the set, and 50% of 20 is 10. So, there are 4 numbers between the 5th data point and the 10th, which are the 6th,7th,8th, and 9th data points.
Answer: Thanks everyone
Step-by-step explanation: This was extremely easy I had a brain freeze but thanks so much
It takes 11 seconds to scan one person. So we have this ratio to start with
11 seconds: 1 person
Divide both sides by 11 to get this new ratio
1 second: 1/11 person
1 second: 0.0909 person
So in 1 second, 0.0909 of a person can be scanned. This statement seems silly because we can't have a fraction of a person, but it helps with the next part as shown below. The next step is to multiply both sides by 1800 to get....
1 second: 0.0909 person
1800*1 second: 1800*0.0909 person
1800 seconds: 163.62 persons
In a span of 1800 seconds (equivalent to 30 minutes), about 163 people's lunches can be scanned. Unfortunately, none of the answer choices are 163. The closest thing is 180, but that is an overestimate. So I would ask your teacher if there is a typo somewhere.
Note: if it took exactly 10 seconds for each student (instead of 11), then the answer would be 1800*(1/10) = 1800*0.10 = 180.