A movie theater made $1267.50 on monday by selling 180 tickets. Adult tickets were $7.50 each and a child ticket was 6. Which system below could be used to find the number of adults that attended the movie on monday ?
A. {a+c=180
{a+c=1267.5

B. {a+c=1267.5
{7.5a + 6c=180

C. {a+c=180
{7.5a+ 6c=1267.5

D. {a+c=180
{7a+6.5c=1267.50

C

Step-by-step explanation:

7.5 per ticket for every adult and 6 for every child to 7.5a+6c=1267 which is how much they made. Then since the theater sold 180 tickets then a+c=180

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

e^-kt = n/n0 = 0.79  

-kt = ln 0.79  

t = - ln 0.79/0.0001  

= 2357 years

step-by-step explanation: