We derive some of the basic properties of weighted variable exponent Lebesgue spaces Lp(:)w (Rn) and investigate embeddings of these spaces under some conditions. Also a new family of Wiener amalgam spaces W(Lp(:) w ;Lq ) is defined, where the local component is a weighted variable exponent Lebesgue space Lp(:) (Rn) and the global component is a weighted Lebesgue space Lq (Rn) : We investigate the properties of the spaces W(Lp(:) w ;Lq ): We also present new Hölder-type inequalities and embeddings for these spaces.