You earned the following scores on five science test: 75,82,90,84, and 71. You want to have an average score of 80 after you take the sixth test. Write and solve and inequality to find the possible scores you need to meet your goal of an 80. (B) The greatest score possible is a 100, is it possible for you to have an average of 90 after the sixth test, explain your reasoning?

Question

Mathematics

Sammy

11 June, 00:52

You earned the following scores on five science test: 75,82,90,84, and 71. You want to have an average score of 80 after you take the sixth test. Write and solve and inequality to find the possible scores you need to meet your goal of an 80. (B) The greatest score possible is a 100, is it possible for you to have an average of 90 after the sixth test, explain your reasoning?

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Answers (1)

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Payton Hatfield · Answer 1

Step-by-step explanation:

x = the score needed to have an average of at least 80

(75+82+90+84+71+x) / 6=> 80

Multiply both sides by 6

402 + x = 6 (80)

x = > 480 - 402

x = > 78 is the grade needed to get at least 80

Maximum score on a test is 100.

It is not possible to have an average score of 90 after the sixth test because none of the 5 scores are above 90

Check

(402 + 100) / 6 = 83.67

Even with a 100 on the 6th test, the total score will not be 90