Oscar bought a bag of almonds. He ate 3/8 of the bag on Sunday. On Monday he ate 2/3 of the remaining almonds. What fraction of the entire bag did he eat on Monday?

The fraction he ate on Monday is 5/12.

Step-by-step explanation: 1-3/8= 8/8-3/8=5/8 left on Sunday.

2/3*5/8=2*5/3*8=10/24 simplify 5/12.

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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.

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