carry an amount of weight

carry (an amount of) weight

To wield importance or influence. Due to your status, your remarks carry a lot of weight, so I encourage you to speak out on this issue—people might finally start taking it seriously. Without research to support these claims, I'm afraid they don't carry much weight.
See also: amount, carry, weight
Farlex Dictionary of Idioms. © 2015 Farlex, Inc, all rights reserved.

carry (an amount of) weight

tv. to have a degree of influence. Tom carries a lot of weight with the mayor. Ask him.
See also: amount, carry, of, weight
McGraw-Hill's Dictionary of American Slang and Colloquial Expressions Copyright © 2006 by The McGraw-Hill Companies, Inc. All rights reserved.
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References in periodicals archive ?
Working alongside facilitators from Babcock Marine and the Engineering Sciences Department at the University, students were set to work on the main hands-on design-and-make project to build their own ship against set criteria and strict specifications such as the ability to carry an amount of weight and to travel at a certain speed.