To enter a​ competition, students must score a total of at least 440 points on five qualifying tests. Each test is worth 100 points. On the first four​ tests, your scores were 91​,81 ​,77 ​, and 96 . What are three possible scores you can earn on the last test to enter the​ competition?

To determine the possible scores you can earn on the last test, we need to find the minimum score required to reach a total of at least 440 points on the five qualifying tests.

We have already scored 91, 81, 77, and 96 on the first four tests.

The total score so far is: 91 + 81 + 77 + 96 = 345

To reach a minimum total of 440 points, we need to score at least 440 - 345 = 95 points on the last test.

Therefore, the three possible scores you can earn on the last test to enter the competition are:
1) 95
2) 96 (if you want an equal or higher score than your previous highest score)
3) Any score greater than 95 to ensure a total of at least 440 points.

To enter the competition, students must score a total of at least 440 points on five qualifying tests. Since the first four tests have already been completed with scores of 91, 81, 77, and 96 respectively, we can calculate the minimum score required on the last test as follows:

Total points from the first four tests: 91 + 81 + 77 + 96 = 345

Therefore, the minimum score required on the last test is 440 - 345 = 95.

To find three possible scores you can earn on the last test, we can consider the minimum score required (95) and look for three scores that are greater than or equal to this value:

1. Score 1: 95
2. Score 2: 100 (maximum possible score since each test is worth 100 points)
3. Score 3: 96 (similar to the highest score on the previous test)

To find three possible scores to enter the competition, we need to determine the minimum score required on the last test.

First, we sum up the scores obtained on the first four tests:
91 + 81 + 77 + 96 = 345

To reach a total of at least 440 points, subtract this sum from 440:
440 - 345 = 95

Since each test is worth 100 points, a score of 95 or higher is needed on the last test.

Now, let's consider three possible scores:

1. If you achieve the minimum qualifying score of 95, the total score would be:
345 + 95 = 440

2. If you improve your score slightly and earn a 96 on the last test, the total score would be:
345 + 96 = 441

3. If you significantly improve your score and earn a perfect score of 100 on the last test, the total score would be:
345 + 100 = 445

Therefore, three possible scores to enter the competition are 95, 96, and 100.