An amusement park sells child and adult tickets at a ratio of 8 to 1 on saturday they sold 147 more child tickets than adult tickets how many tickets did the amusement park sell on saturday

189 tickets sold on Saturday.

Step-by-step explanation:

Your ratio of 8:1 is children's tickets to adult tickets.

There are 8 times as many children tickets sold as adult tickets.

Let c = # children's tickets

Let a = # adult tickets

8a = a + 147

subtract a from both sides

7a = 147

divide on both sides by 7

a = 147/7

find number of adult tickets

a = 21 adult tickets

multiply the number of adult tickets by 8 to find children's tickets 21*8=168

168+21=189 tickets sold on Saturday.

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.