book Maths Puzzle Numerical Ability

Two hot dogs and one hamburger cost $3.39. Three hot dogs and three hamburgers cost $6.57. What is the cost of one hot dog?

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log(7-2x)=log(x+5) Hello - Could a tutor please help me with the below problem. I don't even know where to start! In advance, thanks for your assistance!

Write the partial fraction decompositi