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Ankit M.

Tutor For Seven Years; Strategy Consultant and Investment Banking

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Pre-Algebra

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Question:

What is the volume of the cone with radius of 2 and height of 3?

Ankit M.

Answer:

Let r and h be the radius and height of the cone Volume of Cone = (pi)*(r*r)*(h/3) => pi*(2*2)*(3/3) =>4*pi

Basic Math

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Question:

A total of 50 juniors and seniors were given a mathematics test. The 35 juniors attained an average score of 80 while the 15 seniors attained an average of 70. What was the average score for all 50 students who took the test?

Ankit M.

Answer:

Average score of 35 juniors = 80 Total score for 35 junior = 80*35 = 2800 The average score of 15 seniors = 70 Total score for 15 seniors = 15*70 =1050 Total score of all juniors and seniors = 3850 Total number of students = 50 Average score of 50 juniors and seniors = Total score of all juniors and seniors/Total number of students = 3850/50 = 77

Algebra

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Question:

Solve the following: (3x – 2)(4x + 1) =

Ankit M.

Answer:

(3x – 2)(4x + 1) = 3x*((4x + 1))-2*(4x + 1) =>12x^2+3x-8x-2 => 12x^2-5x-2

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