Abag contains 57 coins which are only quarters and dimes the total value of coins is $9.45 how many dimes are in the bag

There are 32 dimes and 25 quarters.

Step-by-step explanation:

q + d = 57 or q = 57 - d  

25q + 10d = 945  

substitute first equation into second equation:  

25(57 - d) + 10d = 945  

1425 - 25d + 10d = 945  

-15d = -480  

d = -480/-15 = 32  

using first equation:  

q = 57 - 32 = 25  

check using second equation:  

25(25) + 10(32) = 945 checks

translate k to n and reflect across the line containing jk.

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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step-by-step explanation: