William has 32 coins that are all either quarters or dimes. The coins have a value of $5.00. How many dimes does William have?

Step-by-step explanation:

d + q = 32

.10d + .25q = 5.00

d + q = 32

10d + 25q = 500

-10d - 10q = -320

 10d + 25q = 500

15q = 180

q= 12 quarters

d + 12 = 32

d = 20 dimes

based on context clues you gave i'm assuming the answer would be c.

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: