Question

A package being mailed at a local post office has a mass of 7.93 ounces. What is the mass in kilograms? The following unit equivalencies are provided for possible use in solving this problem:

1 kg = 2.205 lb

453.6 g = 1 lb

28.35 g = 1 oz

1 kg = 1000 g

1 lb = 16 oz

Note: In these equations, g stands for grams, kg for kilograms, lb for pounds, and oz for ounces.

Note: There is more than one path you can take to get the answer. A single path will not use all of the relationships presented here, but all relevant relationships have been given so you will have a choice in how to work this problem.

Answer 1

To convert 7.93 ounces to kilograms, first convert the mass to grams (7.93 oz × 28.35 g/oz) and then convert grams to kilograms (resulting grams ÷ 1000 g/kg), resulting in 0.2248 kg.

Step-by-step explanation:

To convert the mass of a package from ounces to kilograms, we will use the given unit equivalences. First, we convert the mass from ounces to grams using the equivalence 28.35 g = 1 oz. Then, we can convert the grams to kilograms using the equivalence 1 kg = 1000 g.

Now, let's calculate:

1. Mass in ounces to grams: 7.93 oz × 28.35 g/oz = 224.8085 g
2. Mass in grams to kilograms: 224.8085 g ÷ 1000 g/kg = 0.2248 kg

Therefore, the mass of the package is 0.2248 kilograms.