The phrase "a mixture of contempt" is correct and usable in written English.
It can be used to describe a feeling or attitude that combines disdain or scorn with other emotions or sentiments.
Example: "Her expression revealed a mixture of contempt and disappointment as she listened to his excuses."
Alternatives: "a blend of disdain" or "a combination of scorn".
The gay world looks at gay Catholics with a mixture of contempt and pity.
Dorothy Darvel, whose agency is situated at the "wrong end" of Glasgow's central shopping street, is forever losing her clients to her rivals in London, a city she regards with a mixture of contempt and awe.
By the same token, there are rugby league fans who dismiss the national sport as Wendyball, shake their heads with a mixture of contempt and pity at the sight of Premier League players on the pub television rolling around the floor in search of a free-kick, and are only interested in Wembley on the one day of the year when the rugby posts are up.
Or does it reflect a mixture of contempt, hostility, and frustration... ?
Or does it reflect a mixture of contempt, hostility, and frustration, as the campaign sees other candidates attack theirs on the grounds of excessive compromise with a broken system?
When I told my manager that I was now available to do full-time hours, he told me with a mixture of contempt and amusement that there weren't any positions for me and I'd have to look elsewhere.
Symptomatic of our economic elite, the Premier League has, so far, been able to treat the demand for the introduction of the living wage with a mixture of disdain, dissimulation and contempt.
But I was brought up in Britain, where depression is rarely out of the news, yet is often treated with a mixture of suspicion, contempt and shame.
For months, while his rivals in Washington looked on with a mixture of growing contempt and sheer incredulity, Howard Dean went off on the Democratic Party.
NEW YORK (The Borowitz Report)—America's racists, who have long viewed New York with a mixture of hostility, contempt, and fear, are suddenly feeling much more positive about the Empire State, a cross-section of racists confirmed on Tuesday night.
Instead, he deployed in his direction a mixture of rage, contempt and bitter resignation for which the Hansard notation "Mr Dennis Skinner (Bolsover) scowled" would not begin to do justice.
