A student scored 75 and 97 on her first two quizzes. Write and solve a compound inequality to find the possible values for a third quiz score that would give her an average between 85 and 90, inclusive.

;

Step-by-step explanation:

Score of the first two quizzes: 75 and 97

Let n represent the third score

Average score would be: .

Given that the average score fall between 85 and 90, this can be represented by the compound inequality as shown below:

Solve for n in each statement that makes up the compound inequality:

Multiply both sides by 3

Subtract 172 from each side of the inequality

Also,

Multiply both sides by 3

Subtract 172 from both sides of the inequality

Combining both together, the possible values of her third quiz score would be:

12*c

step-by-step explanation:

2/3x + 7 = 29

step-by-step explanation:

two thirds = 2/3

plus a number = x

at least 29 = 29

there for you should get 2/3x + 7 = 29