Peter is overweight. he is 105 kg. his aim is to lose 500 g per week. if he manages this, how many weeks will it be until he is 90 kg?

30 Weeks

Step-by-step explanation:

Subtract 90 kg from 105 kg. (15 kg left over)

Since we are now measuring in kilograms, we have to turn the 500 g into kilograms.

1000 grams make up a kilogram, but we have 500 grams. Convert 500 grams into a kilogram. (0.5 kg or 2 kg)

Multiply: 15 x 0.5/2= 30

It will take Peter 30 weeks for him to weigh 90 kg.

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