# math

So far this year Nick has scored a 75, 81, 88 and 92 on four of his math tests. Each test is worth a maximum of 100 points.

To earn a B this year, Nick needs a test average of 80 or better.

Write the inequality that represents this scenario. Let t equal Nick's grade on the fifth and the last test.

___+ t ≥ ___

1. 336 + t ≥ 400

posted by Ms. Sue
2. thank you!

posted by z
3. You're welcome.

posted by Ms. Sue
4. t1 = 75 = results of the first test

t2 = 81 = results of the secondt test

t3 = 88 = results of the third test

t4 = 92 = results of the fourth test

t = results of the fifth test

average of 5 test

a = ( t1 + t2 + t3 + t4 + t ) / 5

Nick needs a test average of 80 or better mean:

( t1 + t2 + t3 + t4 + t ) / 5 ≥ 80

( 75 + 81 + 88 + 92 + t ) / 5 ≥ 80

( 336 + x ) / 5 ≥ 80 Multiply both sides by 5

336 + t ≥ 80 * 5

336 + t ≥ 400 Subtract 336 to both sides

336 + t - 336 ≥ 400 - 336

t ≥ 64

Proof:

( t1 + t2 + t3 + t4 + t ) / 5
=

( 75 + 81 + 88 + 92 + 64 ) / 5 =

400 / 5 = 80

posted by Bosnian

## Similar Questions

1. ### statistics

The human resources department of an engineering company gives IQ tests to a randomly selected group of new hires every year. They claimed that the mean IQ score of new hires, , from this year is greater than or equal to the mean
2. ### Math

There are four tests in a year. The first test is worth 26%, the second is worth 20%, the third test is worth 30%, and the fourth test is 20%. Maria received a 59% on her first test. To receive a final mark of 65%, what is the
3. ### math

please check my answer. each test is worth 100 points. the following test have been taken and earned 91, 90, 93. for a total of 360 points to earn an A, what grade should be made on the final test to earn an A
4. ### statistics

minnie went to union high school while mickey went to southern high school. both schools have equally challenging classes, class size, grading policies, etc. the one difference is in their year end tests. the union high test is
5. ### Alg 1

To earn a B in your Algebra class, you must achieve an unto under test average between 84 and 86 (inconclusive). You scored 86,85, and 80 on the first three tests of threading period. What possible scores can you earn on the
6. ### Alg 1

To earn a B in your Algebra class, you must achieve an unrounded test average between 84 and 86 (inconclusive). You scored 86,85, and 80 on the first three tests of the grading period. What possible scores can you earn on the
7. ### Math

Henry took five tests. His average score was 57 points. He scored at least 50 points on each test. There were 100 points possible on each test. What is the highest score that Henry could have earned on any of the five tests?
8. ### math

please check my answer. each test is worth 100 points. the following test have been taken and earned 91, 90, 93. for a total of 360 points to earn an A, what grade should be made on the final test to earn an A my answer is 91.5
9. ### Satistics

The human resources department of a consulting firm gives a standard creativity test to a randomly selected group of new hires every year. This year, 80 new hires took the test and scored a mean of 112.5 points with a standard
10. ### math

on 3 tests you earned grades of 88%,94%,and 90%. Each test worth 150 points. The finalo exam is worth 250 points. How many points do you need on the final exam to earn 93% of the total points on tests? What percent do you need on

More Similar Questions