On the Moon, Jim had a weight of 27.5 lbf (27.5 pounds-force).

The force of gravity on the Moon is one sixth of that on Earth. How much did Jim weigh on Earth?

A

4.583 lbf

B 27.5 lbf

C

137.5 lbf

D

165 lbf

Jim had a weigh 165 lbf on Earth.

Step-by-step explanation:

Weight:

The product of mass and acceleration due to gravity.

weight= mass× g

Mass: The amount of material in an object is known as mass of the object.

Mass does not depends on g. Mass of an object remains same.

Given that,

Jim had a weight of 27.5 lbf on the moon.

So,

.......(1)

m = mass of Jim

= acceleration due to gravity on the moon.

Again,

The value of force of gravity on the Moon is one sixth of that on Earth.

g =  force of gravity on Earth.

Now plug in equation (1)

⇒mg = 165 lbf

Jim had a weigh 165 lbf on Earth.

is there answer choices?

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be