A grocer wants to make a 10 pound mixture of peanuts and cashews that he can sell for $4.75 per pound. If peanuts cost $4.00 per pound and cashews cost $6.50 per pound, how many pounds of cashews should he use?

7 pounds of peanuts and 3 pounds of cashew should be used.

Step-by-step explanation:

Let x represent the number of pounds of peanuts that he would use in the mixture.

Let y represent the number of pounds of cashews that he would use in the mixture.

The total mixture would be 10 pounds. It means that

x + y = 10

The mixture of peanuts and cashews would be sold at $4.75 per pound. This means that the total cost of the mixture is

10 × 4.75 = $47.5

If peanuts cost $4.00 per pound and cashews cost $6.50 per pound, it means that

4x + 6.5y = 47.5- - - - - - - - - - - - 1

Substituting x = 10 - y into equation 1, it becomes

4(10 - y) + 6.5y = 47.5

40 - 4y + 6.5y = 47.5

- 4y + 6.5y = 47.5 - 40

2.5y = 7.5

y = 7.5/2.5

y = 3

x = 10 - y = 10 - 3

x = 7

the distance from any point on the parabola to the focus is the exact same as the distance from that point to the directrix.

if you could provide answer choices that might allow me to answer the question easier if my above answer isn't an option! (:

i really dont know

step-by-step explanation: