A coffee shop owner blends a gourmet brand of coffee with a cheaper brand. The gourmet coffee usually sells for $9.00 per pound. The cheaper brand sells for $7.00 per pound. How much of each type should be mixed in order to have 50 pounds of coffee that is worth $7.50 per pound?

12.5 pounds of $9

37.5 pounds of $7

Step-by-step explanation:

9(x) + 7(50-x) = 50×7.5

2x + 350 = 375

2x = 25

x = 12.5

50-x = 37.5

12.5 pounds of the gourmet brand and 37.5 pounds of the cheaper brand should be mixed.

Step-by-step explanation:

Let x represent the number of pounds of the gourmet brand of coffee that should be mixed.

Let y represent the number of pounds of the cheaper brand of coffee that should be mixed.

Each type should be mixed in order to have 50 pounds of coffee. It means that

x + y = 50

The mixed coffee would be worth $7.50 per pound. It means that the worth of the mixture would be

7.5 × 50 = $375. The gourmet coffee usually sells for $9.00 per pound. The cheaper brand sells for $7.00 per pound. It means that

9x + 7y = 375- - - - - - -- - - - - 1

Substituting x = 50 - y into equation 1, it becomes

9(50 - y) + 7y = 375

450 - 9y + 7y = 375

- 9y + 7y = 375 - 450

- 2y = - 75

y = - 75/ - 2

y = 37.5

x = 50 - y = 50 - 37.5

x = 12.5

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation: