If a certain factory produces 24 Pepsi bottles of one liter capacity each in 12 minutes, approximately how many Pepsi bottles does it produce in one hour?​

It produces 120 bottles in one hour.

Step-by-step explanation:

This question can be solved by proportions.

24 Pepsi bottles of one liter capacity each in 12 minutes

24/12 = 2 bottles per minute.

How many Pepsi bottles does it produce in one hour?​

One hour has 60 minutes. So

60*2 = 120

It produces 120 bottles in one hour.

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)