Marissa wants to sort 80 beads into 2 cases. The red case has 6 compartments, and the blue case has 8 compartments. How can she sort the beads so the compartments in each case hold the same number of beads and none are left over?

5.7 beads

Step-by-step explanation:

Marissa wants to sort 80 beads into 2 cases. The red case has 6 compartments, and the blue case has 8 compartments.

We are told in the Question that:

the compartments in each case hold the same number of beads and none are left over

Hence, let the number of beads in each compartments = x

Therefore:

8x + 6x = 80 beads

14x= 80 beads

x = 80 beads/14

x = 5.7142857143 beads

x ≈ 5.7 beads

Hence, she can sort the beads into 5.7 beads per compartments

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:

i believe that the slope of the line is -5

step-by-step explanation: