The weight m of an object on mars varies directly as it's weight e on earth. a person who weighs 95 lb on earth weighs 38 lb on mars. how much would a 100 lb person weight on mars

A person weighing 100 lb on Earth will weigh 40 lb on Mars.

Step-by-step explanation:

Given:

The weight M of an object on Mars varies directly as it's weight E on Earth

represents weight of an object on Mars

represents weight of an object on Earth

So, it is given that directly varies with .

∝

which can be written as

where represents the constant of proportionality.

Given a person weight 95 lb on Earth weighs 38 lbs on Mars.

So, we can evaluate using the given weights.

Dividing both sides by 95.

∴

To find the weight of a person on Mars, given that he weighs 100 lb on Earth.

substituting value of

∴

Thus, a person weighing 100 lb on Earth will weigh 40 lb on Mars.

Part A

Clark can cut the wire into 10 pieces.

Part B

This means of wire can be divided in 10 pieces each of

Step-by-step explanation:

Total length of wire =

Length of each piece the wire is being cut into =

Part A

Number of pieces the wire can be cut into =

⇒

In order to divide fractions we will first convert the mixed numbers to fraction.

⇒

⇒

Then we take reciprocal of divisor to change division to multiplication.

⇒

⇒

⇒ pieces

So, Clark can cut the wire into 10 pieces.

Part B

The quotient of and is

This means of wire can be divided into 10 pieces each of