6. Two joggers start at the same time from opposite ends of a 10 km course. One jogger is running at 6 km/hr and the other is running at 10 km/hr. How long after they start will they meet?

In this problem, we are basically finding the LCM of the two numbers.

LCM means the smallest common multiple of two or more numbers.

For example, the LCM of 5 and 10 would be 10, because 5 can go into 10.

Another example would be the LCM of 9 and 6. The answer would be 18, because both numbers can go into 18 and that is the smallest it can go.

Step-by-step explanation:

So, in this problem, we are finding the LCM of 10 and 6.

The LCM of 10 and 6 would be 30.

If you thought it was 60, you are correct, but the two numbers have a smaller similarity.

10: 10, 20, 30, 40, 50, 60.

6: 6, 12, 18, 24, 36, 42, 48, 54, and 60.

As you can see, 30 is the best choice to pick.

Hope this helps and have an amazing day!

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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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step-by-step explanation: