Question

John knows he can safely live 30 pounds without help. he needs to move the following packages. Can he live each safely without any help? Use the following: 1 pound equals 0.454 kg1 ounce equals 28.4 g1 kg equals 1000 gPlace an X in the table to show whether he can live each package safely

Answer 1

Step-by-step explanation:

We are told that John can safely lift 30 pounds without help. To determine the packages he can lift and the ones he cannot, we shall check the weights of each after converting to pounds, as follows;

`1lbs=0.454kg`
`30lbs=30(0.454)kg`
`30lbs=13.62kg`

This means he can lift the 9.08 kg package without help.

Also, for the second package;

`1000g=1kg`
`9080g=(9080)/(1000)kg`
`9080g=9.08kg`

This means he can equally lift the 9,080 grams package without help.

For the 46kg package;

`\begin{gathered} 1lb=0.454kg \\ (1)/(0.454)lbs=(0.454)/(0.454)kg \end{gathered}`
`2.2026lbs=1kg`

Take note of how we have converted 1 kilogram into pounds (that is vice versa).

We can now continue our computation;

`\begin{gathered} 1kg=2.2026lbs \\ 46kg=2.2026(46)lbs \\ 46kg=101.3196lbs \end{gathered}`

This is way heavier than a 30 pounds package and therefore, he cannot lift this package all by himself.

For a 460 ounces package;

`1ounce=28.4g`
`460ounces=28.4(460)g`
`460ounces=13064g`

Next we convert this to kilograms;

`\begin{gathered} 1000g=1kg \\ 13064g=(13064)/(1000)kg \end{gathered}`
`13064g=13.064kg`

We now convert this too to a pound measure as shown below;

`\begin{gathered} 1kg=2.2026lbs \\ 13.064kg=2.2026(13.064)lbs \end{gathered}`
`13.064kg=28.7748lbs`

This is still a bit lighter than 30 pound, hence he can safely lift this without help.

ANSWER:

`\begin{gathered} 9.08kg=YES \\ 9080g=YES \\ 46kg=NO \\ 460ounces=YES \end{gathered}`