## anonymous one year ago URGENTTT A student scored 84 and 87 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. -0.5<n<4.5 84<n<99 99<n<84 80<n<98

1. anonymous

B

2. anonymous

3. NotTim

Should give an explanation; I actually wanna know how to do this.

4. anonymous

sure

5. anonymous

The student already scored 84 and 87, so the average between the scores would be $\frac{ 84 + 87 + n }{ 3 }$ and n is the third quiz score, so, the average must be between -0.5 and 4.5 inclusive The "inclusive" means less or equal than So $85<\frac{ 84 + 87 + n }{ 3 }\le90$ If you multiply the entire inequality by 3 you get $255<84+87+n \le 270$ and now you can sum up the 84+87 which is 171 now, you substract 171 to the entire inequality to leave x alove so $255-171<171+n-171 \le 270-171$ $84<n \le 99$

6. anonymous

Correction: "the average must be between 80 and 90 inclusive"