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Ara A.

Math Tutor

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Pre-Algebra

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Question:

Convert 5 and 1/3 into decimal.

Ara A.

Answer:

By converting first the mixed fraction into an improper fraction, will get 16/3. Dividing 16 by 3 will acquire to the CORRECT answer which is 15.333

Basic Math

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Question:

Multiply (5x^y + 2x) (3y + 8).

Ara A.

Answer:

Using FOIL method, multiply first 5x^2y to 3y and we will get 15x^2 y^2. Then multiply the outer terms which are 5x^2 y to 8 and we will acquire 40x^2 y. Multiplying the inner terms will get 6xy. Lastly, multiplying the last two terms will get 16x. Combining these products will get to the FINAL answer which is 15x^2 y^2 + 40x^2 y + 6xy + 16x.

Algebra

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Question:

A box is to be made of a piece of cardboard 9 inches square by cutting equal squares out of the corners and turning up the sides. Find the volume of the largest box that can be made in this way.

Ara A.

Answer:

Volume of a box is acquired by Length x Width x Height. In relation to this equation and to unknown 'X' corner along sides, we can substitute the following: Length = 9-2X Width = 9-2X Height = X Thus, Volume = (9-2X)^2 X expanding the equation: 4X^3 - 36^2 + 81 deriving the equation, we will get a quadratic formula: 12X^2 - 72X + 81 possible equivalent of 'X' are: X=4.5 and X=1.5 substituting the values we will get the right answer which is 54 cubic inches.

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