Amarket sells 6 cans of food for every 7 boxes of food. the market sold a total of 26 cans and boxes today. how many of each kind did the market sell? 6 cans and 20 boxes 12 cans and 14 boxes 14 cans and 12 boxes 20 cans and 6 boxes

 The market sells 12 cans and 14 boxes of food.

Step-by-step explanation:  Given that a market sells 6 cans of food for every 7 boxes of food and a total of 26 and boxes are sold today.

We are to find the number of cans and boxes that the market sells.

Let x and y represents the number of cans and boxes respectively sold by the market.

Then, according to the given information, we have

and

From equation (i), we get

Thus, the market sells 12 cans and 14 boxes of food.

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

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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