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

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