Dakota wants to beat the record for the most runs batted in in a baseball season. This season, he has 32 runs batted in. If he gets 2 runs batted in at each of the last 13 games, he will miss breaking the record by 3 runs. How many total runs are needed to break the record?

29 runs are needed to break the record.

Step-by-step explanation:

He has 32 runs batted in.

If he gets 2 runs batted in at each of the last 13 games, he will have:

32 + 2*13 = 32 + 26 = 58

He will have 58 runs batted in.

He will miss the record by 3.

So the record is 61.

He has 32 and will need 61-32 = 29 runs to break the record.

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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answer: 88

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