Zach is having a birthday party at an amusement park. tickets cost $28 each, but zach's mom has a coupon for half-off. both of zach's parents are going plus 8 children including zach. what will be the total ticket cost for the group?

$140

Step-by-step explanation:

Given: Ticket cost $28 each. Zach's mom has a coupon for half-off. Both of Zach's parents are going plus 8 children including Zach.

To find: The total ticket cost for the group.

Solution:

We have,

Number of children going is 8, and two parents. So, total number people going at the amusement park is

Cost of each ticket is $28

So, total cost

It is given that Zach's mom has a coupon for half-off.  

After applying the coupon, the total cost is

Hence, after applying the coupons the total ticket cost for the group is $140.

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)