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The phrase "acceptable number" is correct and usable in written English.
It can be used when discussing a quantity or figure that meets certain standards or criteria.
Example: "The report indicates that the acceptable number of participants for the study is 50."
Alternatives: "permissible amount" or "tolerable figure".
Exact(60)
Is that an acceptable number?
"That's not an acceptable number – 7% of directors.
And what is an acceptable number of beneficiaries?
Some have specified an acceptable number of authors per manuscript.
Three is an acceptable number and in 1958 Brazil had Didi, Zito and Nilton Santos.
"But compared with 350,000 people, especially during the winter, it is an acceptable number.
"The only acceptable number of sexual assaults on campus is zero," he said.
Using bootstrapped datasets (n = 10,000), a threshold of 6 was established for a maximum acceptable number of missing loci.
Perhaps 15 hospitalisations is an acceptable number of injuries among 300 scared passengers hurrying off a plane.
"In my first reading of this I thought it was a minimally acceptable number from Delta's perspective, but we were prepared to compete".
Also in about 30 min acceptable number of counts for 478 keV gamma-rays could be expected.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com