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As a shortcut, you can always use the following for such question types (digits repeating in all possible place values) - Two Digit Sum = 11 * (a + b) Three Digit Sum = 222 * (a + b + c) Four Digit Sum = 6666 * (a + b + c + d) I understand the answer to the question in the text book however I do not...

Question from the Fractions Decimals and percents - 4th edition, guide 2: Page 21 Number 11: The number A is a two-digit positive integer; the number b is the two digit positive integer formed by reversing the digits of A. If Q = 10B-A, what is the value of Q? I do not understand the explanation in ...

From Equations Ineq and Vics strategy guide, page 63 number 3. I understand how that you have to set the equation to 9, but how do you get (a + b)^2 as the answer from (A^2+ B^2), I get: A^2 + 4ab + b^2 = 9?

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For #7: What is meant by "by what factor", Per example given in the answer choice, when "b" = 2, I don't understand why I would put the new doubled cost of 256 divided by 16 the old cost, why not 16/256? For #9: Per answer, I understand how we get to square rt of 2/2 to sq rt of ...

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I do not understand why they used the ending equasion: 21=10.5x? 10.5x represents the area for both the triangle and the ABCE, and 21 = only represents ABCE so how can 21=10.5x?

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For III: I thought that since x,y & p are consecutive integers and 'y' is a median then if p is odd, y^2 has to even..so 'x^2 has to be Odd, so xyz=even. So I answered 'D' which was wrong. Please advise, thank you

Per question below using the intuitive method, how do you get to the final answer of 6 from 12 duplicates? I understand all the steps until 12 duplicates. Thank you Each of the 59 members in a high school class is required to sign up for a minimum of one and a maximum of three academic clubs. The th...

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The integers A, B, C, and D shown on the number line above are all equally spaced. If C and D are equal to 5^12 and 5^13, respectively, what is the value of A?

Please explain the answer using an example with integers instead. I find the explanation with the exponents confusing.

thank you,

In a diving competition, each diver has a 20% chance of a perfect dive. The first perfect dive of the competition, but not subsequent dives, will receive a perfect score. If Janet is the third diver to dive, what is her chance of receiving a perfect score? I understand how they arrived at the answer...