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- anonymous

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

Mathematics
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- anonymous

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

Mathematics
- jamiebookeater

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- anonymous

B

- anonymous

the answer is 87

- NotTim

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

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- anonymous

sure

- 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

- anonymous

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

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