Tom bowled 135 and 145 in his two first games. Write and Solve a compound inequality to find the possible values for a third game that would give him an average between 120 and 130, inclusive.

gimme the answer

I think its D

Im stuck

Well, Tom certainly rolled the ball, but let's see if we can roll some numbers around to help him out.

To find the average, we'll add up the scores from all three games and then divide the total by 3. In this case, we want the average to be between 120 and 130, inclusive.

Let's call the third game score 'x'. So the average will be (135 + 145 + x) / 3.

To get an average between 120 and 130, inclusive, we can set up the compound inequality:

120 ≤ (135 + 145 + x) / 3 ≤ 130

Now, let's solve this inequality and find out what Tom needs to score in his third game:

Multiply every term by 3 to get rid of that pesky fraction:

360 ≤ 135 + 145 + x ≤ 390

Combine like terms:

360 ≤ 280 + x ≤ 390

Subtract 280 from all sides:

80 ≤ x ≤ 110

So, Tom needs to score between 80 and 110 in his third game to have an average between 120 and 130, inclusive.

To solve this problem, we can start by finding the total score Tom has for his first two games. Tom bowled 135 and 145 in his two first games, so the total score is 135 + 145 = 280.

Let x represent the score of the third game. To find the average score, we need to sum up the scores and divide by the total number of games. In this case, Tom has played three games (two first games + one third game), so the average score is (280 + x) / 3.

Now we need to set up a compound inequality to find the possible values for the third game that would give Tom an average between 120 and 130, inclusive.

The compound inequality can be written as:

120 ≤ (280 + x) / 3 ≤ 130

To solve this inequality, first, we can multiply each side by 3 to get rid of the fraction:

3 * 120 ≤ 280 + x ≤ 3 * 130

360 ≤ 280 + x ≤ 390

Next, we can subtract 280 from each side of the inequality:

360 - 280 ≤ x ≤ 390 - 280

80 ≤ x ≤ 110

Therefore, the possible values for the third game score that would give Tom an average between 120 and 130 (inclusive) are between 80 and 110, inclusive.

3*120 <= 135+145+x <= 3*130

360 <= x+280 <= 390
80 <= x <= 110