If 8 people share 2/3 of a pound of roasted peanuts equally, what part of the peanuts will each person get?
a) 1/12
b) 1/6
c) 1/8
d) 1/4

Option A; 1/12

Step-by-step explanation:

8 people share 2/3 of a pound of roeasted peanuts equally.

This means that each perso in the group receives an eight of (2/3) of a pund

this is: (2/3)/8

Here we write the division by 8 as a multiplication by 1/8

= (2/3)*(1/8) = (2*1)/(3*8) = 2/24

Here we divide both numbers by 2

= 1/12

The correct option is A

hope this .

r3t40

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is