Arnob, bella, colin, dante, and erin are going to a baseball game. they have a total budget of $100.00 to spend. each game ticket costs $17.50 and each drink costs $2.00. the inequality below relates x, the number of drinks the 5 friends could buy in all, with their ticket costs and budget. 5[17.5]+2_< 100 which best describes the restrictions on the number of drinks they can buy? they can buy only from 0 to 3 drinks, but no more. they can buy only from 0 to 6 drinks, but no more. they can buy only from 0 to 7 drinks, but no more. they can buy only from 0 to 12 drinks, but no more.

They can buy only from 0 to 6 drinks, but no more.

Step-by-step explanation:

No. of friends = 5

Cost of 1 game ticket = $17.50

Cost of 5 game ticket =

Let x be the number of drinks

Cost of 1 drink = $2

So, cost of x drinks = 2x

So, total cost =

Since we are given that they have a total budget of $100.00 to spend.

So, they can spend 100 or less than 100.

So, equation becomes :  

So, no. of drinks can be less than or equal to 6

So,They can buy only from 0 to 6 drinks, but no more.

i believe the answer to be 48

step-by-step explanation:

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.