At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

A shipping container will be used to transport several 150-kilogram crates across the
country by rail. The greatest weight that can be loaded into the container is 28000
kilograms. Other shipments weighing 10300 kilograms have already been loaded into
the container. Write and solve an inequality which can be used to determine x, the
number of 150-kilogram crates that can be loaded into the shipping container.

Sagot :

A shipping container will be used to transport several 150-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 24000 kilograms. Other shipments weighing 6400 kilograms have already been loaded into the container.

Answer:

[tex]x<=118[/tex]

Step-by-step explanation:

We already have [tex]10300[/tex] kilograms, we will add [tex]x*150[/tex] kilograms, and we need it to be less than or equal to [tex]28000[/tex].

So, the inequality is [tex]150x+10300<=28000[/tex].

We can subtract [tex]10300[/tex] from both sides to get [tex]150x<=17700[/tex].

We then lastly divide by [tex]150[/tex] on both sides to get [tex]x<=118[/tex].

So, the answer is [tex]\boxed{x<=118}[/tex] and we're done!