Recent content by Marcelo Arevalo

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    MHB Solve Work Rate Problem: 6 Men Colouring 36m Cloth in x Days

    Can it be tripple ratio? 4:48:2 = 6:36:x men to meter ratio defined; 12:2 = 6:x mean & extreme x = 12/12 = 1 1 day is the answer is it possible??
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    MHB How Do You Solve a Word Problem Involving Charitable Donations?

    Maybe this will help: Let x=x= amount donated by X 1/4x=0.25x= amount donated by y 1/2x=0.50x= amount donated by z
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    MHB Solve Number Theory Problem to Find Time for Express Bus

    My solution: please comment, thank you. Regular Speed = Y Express Speed = 1.2Y Time taken if Regular = x/y + 8(3)/60 (min/hr) if Express = x/1.2y + 3/60 (min/hr) Combining the two equation: we have; x/y + 24/60 = x/1.2y + 3/60 + 40/60 x/y + 24/60 =...
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    MHB Solve Number Theory Problem to Find Time for Express Bus

    Is this the continuation of the given data above?? d/v + 24 = 10d/12v + 40 12d + 288v = 10d + 480v 2d = 480v -288v d = 96vfrom 1 : tR = 96v/v + 24 = 120 from 2 : tE = 960v/12v + 40 = 120
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    MHB How many 10-digit numbers can be formed with product of digits equal to 2^{27}?

    My son's solution: please comment, thank you. We can only use 4 digits : 1,2,4,8 (2^0 , 2^1, 2^2, 2^3) if we use 9 8's 8-8-8-8-8-8-8-8 and 2^n 2^27 . 2^n = 2^27 2^n = 1 8,8,8,8,8,8,8,8,8,1 only possible digits if true are 9 8's. _8_8_8_8_8_8_8_8_8 = 10 spaces to...
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    MHB How many 10-digit numbers can be formed with product of digits equal to 2^{27}?

    How many 10-digit numbers are there such that the product of its digits is equal to 2^{27}?
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    MHB Solve Number Theory Problem to Find Time for Express Bus

    On a particular bus line, between Station A and Station J, there are 8 other stations. Two types of buses, Express and Regular, are used. The speed of an Express bus is 1.2 times that of a Regular bus. Regular buses stop at every station, while Express buses stop only once. A bus stops for 3...
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    MHB How Can I Find All Triples (a, b, c) in This Equation?

    I came across this problem in a book that I am reding. Find All Triples (a, b, c) if a! = 4(b!) + 10(c!)there is an answer key : (4, 1, 2) (6, 5, 4) (14, 13, 3)sorry I am not being lazy to solve this.. the truth is I don't know how to begin with in solving this kind of problem. can you...
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    MHB Finding the Maximum Value of n for a Given Equation

    Meaning, there's no such thing as the smaller value, and at the same time greater than the greater value?
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    MHB Finding the Maximum Value of n for a Given Equation

    What is the Largest possible value of n such that there is a multiple of 4 less than n^2 but greater than n^2 + 2016/n^2 ?
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    MHB How many Numbers can appear as product?

    Sorry It took me a while to fully understood this number theory.
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    MHB Solving Multiples Problems with Distinct Digits

    Using 1st equation 12 + 11x 12 + 11(0) = 12 * 99 = 1188 12 + 11(1) = 23 * 99 = 2277 12 + 11(2) = 34 * 99 = 3366 12 + 11(3) = 45 * 99 = 4455 12 + 11(4) = 56 * 99 = 5544 12 + 11(5) = 67 * 99 = 6633 12 + 11(6) = 78 * 99 = 7722 12 + 11(7) = 89 * 99 = 8811 12 + 11(8) = 100 * 99 = 9900 using equation...
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    MHB Solving Multiples Problems with Distinct Digits

    How many 4 digit multiples of 99 are there whose digits are all distinct? - - - Updated - - - 99 x 11 = 1089 99 x 13 = 1287 99 x 14 = 1386 99 x 15 = 1485 and so on.. Is there any algebraic expressions for this?
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    MHB Calculating Speed: Solving a Distance and Time Problem

    Using Greg1313 : A------------B----X-----C AB = 24 km + BC = 16 km t = 40 / 60 = 2/3 hr XC = 10 km v = 10 km / 2/3 hr = 15 Kph To Check : AC = 40 / 60 = 2/3 hr XC = 10 / 15 = 2/3 hr AB = 24/60 = 2/5 hr XB = 6/15 = 2/5 hryes.. the speed of Ken's bike is 15 Kph.Thank you all !
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    MHB Calculating Speed: Solving a Distance and Time Problem

    Sorry I am used to a trial & error solution. I am practicing to solve mathematics problem using the algebra solutions. that's why I keep on asking for your help. so I cam polished my thoughts and put it into a detailed solutions.
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