An individual is making chicken-stuffed peppers for the gluten-intolerant and pita breads for the vegetarians in a cooking class. Each chicken-stuffed pepper takes twice as long to make as a pita bread. The individual needs to feed 3 gluten-intolerant and 6 vegetarian classmates. The individual has 4 hours, how much time can they spend on each chicken-stuffed pepper?

he will have 40 minutes for each stuffed chicken pepper

Step-by-step explanation:

First we have to make two equations one to represent the relationship between the stuffed chicken pepper and the pita breads and another in relation to them over time

x = stuffed chicken pepper

y = pita breads

x = 2y

3 * x + y * 6 = 4

we replace in the second equation the x by 2y

3 * x + y * 6 = 4

3 * (2y) + y * 6 = 4

we solve and find the value of y

3 * (2y) + y * 6 = 4

6y + 6y = 4

12y = 4

y = 4/12

y = 1/3

to know the value of x we go to the first equation and replace y with 1/3

x = 2y

x = 2(1/3)

x = 2/3h

2/3 of an hour equals 40 minutes

2/3h = 60*2/3 m

2/3h = 40m

-50/3 is the final answer! : )

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.