Every 1/2 hour naomi stretches her neck; every 1/3 hour we stretches her legs and every 1/6 hour she stretches her arms. which parts of her body will naomi stretch when 2/3 of an hour has passed?

She will have stretched her neck 1 time, she will have stretched her legs 2 times, and she will have stretched her arms 4 times.

Step-by-step explanation:

This is because 1/2 can only go into 2/3 once, 1/3 can go into 2/3 twice, and 1/6 can go into 2/3 four times.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.