math

Vinny wrote down all the single-digit base-b numbers and added them in base b, getting 34_b.

What is b?

  1. 👍 0
  2. 👎 0
  3. 👁 256
  1. the sum of the integers from 0 to b-1 is b(b-1)/2
    so, b(b-1)/2 = 3b+4
    b^2-b = 6b+8
    b^2-7b-8 = 0
    (b-8)(b+1) = 0
    b=8 since b>1
    check:
    sum(0..7) = 28 = 3*8+3

    1. 👍 1
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. chemistry

    What is the general form for the simplest type of acid-base reaction? A. acid + base salt + water B. acid + base base + acid C. acid + base H+ + OH- D. acid + base solid + water

    asked by jessie on September 11, 2016
  2. business

    Suppose that Paulie and Vinny each can produce ice cream or t-shirts. it shows the quantity of each good that Paulie and Vinny each can produce in one hour, respectively, if they devote all of their time and effort into making the

    asked by arthur on September 25, 2014
  3. Number Theory

    Find a base 7 three-digit number which has its digits reversed when expressed in base 9. (You do not need to indicate the base with a subscript for this answer.)

    asked by Mr. Alexander on March 9, 2016
  4. math

    Five three digit numbers including N were to be added. While adding, the reverse of N was added by mistake instead of N. Hence the summ increased by 11 times the summ of the digits of N.Eight times the difference of N's units and

    asked by Suzanne on November 27, 2014
  5. PreCal

    A square sheet of cardboard 18 inches is made into an open box (there is no top), by cutting squares of equal size out of each corner and folding up the sides. Find the dimensions of the box with the maximun volume. Volume=

    asked by Chau on November 6, 2006
  1. Chemistry

    A base has a Kb of 2.5 x 10–11. Which of the following statements is true? This is a concentrated base. This base ionizes slightly in aqueous solution. This is a strong base. An aqueous solution of this base would be acidic.

    asked by Rachel on March 9, 2012
  2. Calculus

    A baseball diamond is a square 90 ft on a side. A player runs from first base to second base at 15 ft/sec. At what rate is the player's distance from home base increasing when he is half way from first to second base?

    asked by Erik on December 7, 2015
  3. Calculus

    A baseball diamond is a square 90 ft on a side. A player runs from first base to second base at 10 ft/sec. At what rate is the player's distance from home base increasing when he is half way from first to second base?

    asked by Amalia on December 3, 2019
  4. Math

    It says here Write as a single power, then evaluate. Express answers in rational form. ⁴√18× ⁴√9 ÷ ⁴√2 18^(1÷4)× 9^(1÷4) ÷2^(1÷4) My problem here is I couldn't find a way to get all the numbers to have the same

    asked by Fayza on February 4, 2015
  5. Math - Bases

    What is 12 base 5? Would you just divide 12 by five and get 2 (but then what about the remainder) If you are refering to logs, 12 base 5 means log of 12 to the base 5. Call it x. 5^x = 12. x = log 12/log 5 (any log base can be

    asked by Laura on October 29, 2006

You can view more similar questions or ask a new question.