book Maths Puzzle Numerical Ability

MY ASSIGNMENT SAID FOR ME TO WRITE AN EXPRESSION FOR EACH QUANITY.
tHE FIRST PROBLEM READS; 1. THE VALUE IN CENTS OF 5 QUARTERS. I BELIEVE THE ANSWER IS THE FOLLOWING. 25+25+25+

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Please help me solve this equation: w(w-1)/3+1/2=(w+1)/2
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a sudent is walking 70000 by 50 south of north ....what is the vector?