Which system of equations best represents the situation below? A farmer grew his own tomatoes (a), eggplants (b), and potatoes (c). He decided to package his vegetables and price them as follows:
2 tomatoes, 1 eggplant, 3 potatoes for $10
3 tomatoes, 2 eggplants, 4 potatoes for $14
4 tomatoes, 2 eggplants, 6 potatoes for $20

A.

2a +b+3c =10

3a+2b+4c=14

4a+2b+6c=20  

Step-by-step explanation:

Hi, to answer this question we have to write a system of equation with the information given:

The price of each package will be equal to sum of the products of each vegetable (a,b or  c) and their respective amount :

So:

2a +1b+3c =10

3a+2b+4c=14

4a+2b+6c=20

The system is:

2a +b+3c =10

3a+2b+4c=14

4a+2b+6c=20  

(option A)

Feel free to ask for more if needed or if you did not understand something.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

answer: 8d

step-by-step explanation:

45+5= 50+5=55+5=60