When Marcus weighs himself at home, he weighs 179 lbs. When he weighs himself on a metric scale, he weighs 81.4 kg. Assuming that each scale is accurate, 1 kg = lbs ?

2.199 lbs

Step-by-step explanation:

We can divide 179 by 81.4 to get how many pounds there are per kilogram. When we do this, we get 2.19 pounds per kilogram. We know this because we divided both sides by 81.4 as shown here:

81.4kg = 179lbs

    /             /

81.4           81.4

1kg = 2.199 lbs

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

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a