Rita's coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs rita $5.70 per pound, and type b coffee costs $4.10 per pound. this month, rita made 177 pounds of the blend, for a total cost of $850.50. how many pounds of type b coffee did she use?

she used 99 pounds of type B coffee.

Step-by-step explanation:

Let x represent the number of pounds of type A coffee that she used.

Let y represent the number of pounds of type B coffee that she used.

Rita made 177 pounds of the blend. This means that

x + y = 177

Type A coffee costs Rita $5.70 per pound, and type B coffee costs $4.10 per pound. This month, the total cost of coffee that she made was $850.50. It means that

5.7x + 4.1y = 850.50 - - - - - - - - - - -1

Substituting x = 177 - y into equation 1, it becomes

5.7(177 - y) + 4.1y = 850.50

1008.9 - 5.7y + 4.1y = 850.5

- 5.7y + 4.1y = 850.5 - 1008.9

- 1.6y = - 158.4

y = - 158.4/ - 1.6

y = 99

Substituting y = 99 into x = 177 - y, it becomes

x = 177 - 99 = 78

2? if not the correct answer you might need to provide more information

step-by-step explanation:

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: