A coin weighs about 14^−2 pounds. Find the weight of 1000 of the coins. Round your answer to the nearest tenth.

1000 of the coins weigh about ______ pounds.

Respuesta :

1000 of the coins weigh about 5 pounds

Answer:

1000 of the coins weigh about 5.1 pounds.

Step-by-step explanation:

Consider the provided information.

A coin weighs about 14^−2pounds.

This can be written as:

[tex]14^{-2}=\frac{1}{14^2}=\frac{1}{196}[/tex]

Now we need to find the weight of 1000 coins.

To find this simply multiply the weight of one coin with 1000.

[tex]\frac{1}{196}\times 1000=5.10\approx 5.1[/tex]

Hence, 1000 of the coins weigh about 5.1 pounds.