Mike is buying plates and cups .cups come in packs of 12 and plates come in packs of 10 she wants to buy the same amount of cups and plates but wants to pay for them at the lowest price because cups are $3 and plates are $5 explain

The lowest amount of money she can spend buying the same amount of cups and plates is..

$43.00

To figure this out, we must find the least common multiple (LCM) of 12 and 10. The LCM of 12 and 10 is 60. After we have figured that out, we must figure out how much money it costs for 60 of each product. So in order to do this, we must first find how many packs she purchased of each product. Once we have found that she purchased 5 packs of each, we must do the math and figure out how much money it cost for 5 packs of each. For 5 packs of cups, it costed her $18, because 3 x 5 = 18. For 5 packs of plates, it costed her $25, because 5 x 5 = 25. We must then add together those two numbers to find our final answer. When adding 18 and 25, we get the sum of 43. That means she spent $43 dollars in total.

Hope this helps! :)

The 3rd graph represents the point (-1, 4) as the solution to the system of linear equations.

The correct graph is also attached below.

Step-by-step explanation:

We know when two lines meet at a certain point, the point where they meet is called the point of intersection.

We also know that the point of intersection of two lines is termed as the solution of the system of linear equations.

We are given the point (-1, 4) as the solution of the system of linear equations.

It means the two lines meet at x = -1, and y = 4.

In other words,

(x, y) = (-1, 4) is called the point of intersection of the system of linear equations.

Now, if we closely check the graph of these two lines, we can easily figure out that the 3rd from the right side is the graph that represents the solution to the system of linear equations.

The 3rd graph indicates that the two lines meet at x = -1, and y = 4.

Hence, the point of intersection of 3rd graph is:

(x, y) = (-1, 4)

Therefore, the 3rd graph represents the point (-1, 4) as the solution to the system of linear equations.

The correct graph is also attached below.