Express 64 as the sum of 8 odd numbers.

situation-I: 2x + 3y=1400

situation-II: 3x + 5y=2150

the bill for five glasses of apple juice and four salads is $9.50 the bill for four glasses of apple juice and five salads is $10.30 what would the bill for one glass of juice and one salad be?

i am in class 10 th and i would like to prepare for jee, i have completed my class 10 th syllabus. i am aiming conceptual clarity for maths and physics. for maths i am doing class 11 and 12 ncert, and i have a doubt that should i do ncert exemplar or rd sharma class 11 mathematics. after doing an of these i decided to do mathematics for jee mains by cengage which is a single volume book. is it okay, can you plz give me your suggestions

2 concentric circles are of radii 5 cm and 3 cm.find the length of the chord of the larger circle which touches the smaller circle.

How do you find the Maclaurin series for tanx?