The phrase "all the responsibilities" is correct and usable in written English.
You can use it when referring to the entirety of duties or obligations that someone has in a particular context.
Example: "As the team leader, I have to manage all the responsibilities that come with this role."
Alternatives: "every duty" or "all obligations".
I assume all the responsibilities for repairs and taxes and insurance.
There is currently a state and county consumer affairs office -- all the responsibilities could be handled by the state.
So long as broadcasting was conducted by "a single instrument, that organisation will be free … to discharge all the responsibilities to the community that broadcasting involves".
Being a C.E.O. is not quite what you anticipated — the number of people looking for your time, all the responsibilities and the demands.
We impose all the responsibilities of citizenship on students, and we have to provide them with the privileges of citizenship, too".
About 15 years ago, Leibinger père put together his family's principles in a written 20-page codex outlining rights and, above all, the responsibilities of Trumpf's stewards.
That means they'll have to assume all the responsibilities that AT&T—or Deutsche Telekom would normally take care of, such as designing, deploying, and maintaining the network.
"Just over all, the responsibilities on our plate and the kids and the travel and trying to do each of our jobs as coaches and parents to the best of our abilities".
"When I was in the hospital [last year], which was for three months, Bob was the one who took over all the responsibilities, and who greenlit the movie without me.
Under those conditions, many city officials around the country reason that with managing airports they get all the responsibilities and headaches and few of the perquisites and financial returns.
As his wife, Fiona, Ms. Hart seems to take on all the responsibilities of real life and often is quite annoyed, not so much at Frank as at life.
