Question : A square game board is divided into smaller squares, each with sides one-ninth the length of the sides of the board. Into how many squares is the game board divided?

Therefore the game board is divided into 81 smaller squares.

Step-by-step explanation:

Given that, there is a square game.

Consider x be length of one side the square.

The volume of the square is = side ×side

                                               =x² square units

Since the length of side of smaller square is one-ninth of the game board.

Then one side length of the smaller square is units.

The area of a smaller square is

Let a number of square is formed from the game board.

a ×The area of one smaller square= The area of game board.

According to the problem,

Therefore the game board is divided into 81 smaller squares.

step-by-step explanation:

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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