【1】be good at doing sth擅长做某事，故为Kate is good at dancing.  

【2】not only…but also…“不仅……，而且……”，work hard努力学习，spend time doing sth花费时间做某事，故为She not only works  hard, but also spends a lot of time dancing.  

【3】want to do sth想要做某事，achieve a balance between …and…“在……和……之间获取平衡”，此处是动词后面接的宾语从句是疑问句，用陈述语序：疑问词+主语+谓语+宾语，故为：She wants to know how she can achieve a balance between her schoolwork and hobbies.  

【4】表示“幸运的是”，修饰整个句子，用副词fortunately。give sb advice“给某人建议”，故此处为：Fortunately, her teacher gave her some useful advice.  

【5】be based on“基于”，help and support“帮助和支持”，表示“她的老师的”，用名词所有格形式her teacher’s。故为：Her success was based on her teacher's help and support.