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About Abe Mantell
(Top Expert on this page)

Expertise
Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!

Experience
Over 15 years teaching at the college level.

Organizations belong to
NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.

Education/Credentials
B.S. in Mathematics from Rensselaer Polytechnic Institute
M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook

   

You are here:  Experts > Science > Math for Kids > Basic Math

Questions Answered By Expert  Abe Mantell 
In Category  Basic Math

SubjectDate Asked

parallelogram area9/2/2008
  Q: My ninth grader came home from his frist day in physics with this question...Samuel will use stamped ...
  A: There is a nice formula for this...the area of a parallelogram is: A=a*b*sin(C), where a and b are ...
Math is my sore subject can you help me?7/17/2008
  Q: I'm only 13 and i really suck at math, can you please go over my answers correct them, & explain why ...
  A: Wow, you have many questions! Usually I would not answer so many at once, but I'll make an ...
Watt-Hours7/16/2008
  Q: An electric light bulb, for example marked “ 60 watts“, indicates that the bulb uses 60 watt-hours ...
  A: Miles per hour per hour would represent a rate of acceleration. For example, 10 miles/hr per hr ...
Watt-Hours7/15/2008
  Q: An electric light bulb, for example marked “ 60 watts“, indicates that the bulb uses 60 watt-hours ...
  A: Well, if the bulb consumes 60 watt-hrs of power in one hour, then the rate of power consumption is ...
Math7/9/2008
  Q: How do you know when an equation has infinitely many solutions? How do you know when an equation has ...
  A: When you get something that is always true, there are INFINITELY many solutions. For example: ...
fractions1/19/2008
  Q: Hope you can help me. I do not understand fractions at all. Can you please tell me, how do you ...
  A: Fractions represent ratios. For example: If I have 5 apples, and you have 10...then the ratio of ...
Percents & Sales Tax1/18/2008
  Q: If the sales tax on merchandise sold in stores is 6%. The item is multiplied by the sales tax of 6%. ...
  A: 1. Percentages, by definition, are unitless. 2. 6 gallons/2 = 3 gallons...that represents an ...
Percents & Sales Tax1/14/2008
  Q: If the sales tax on merchandise sold in stores is 6%. The item is multiplied by the sales tax of 6%. ...
  A: It is not 6% per dollar, it is just "6%"...which amounts to 6 cents per dollar. Remember, ...
Alegbra question1/11/2008
  Q: What might function notation be important? Thanks Maria
  A: I gather you meant "Why" might function notation be important...yes? Mostly a notational ...
Percents & Percentages1/10/2008
  Q: 0.3% is expressed as 3/10 of 1%. Is it correct to also express 0.3% as 3/10 of 1 percentage point? ...
  A: As long you are talking about percentages, then yes... 1% = 1 percentage point. If you wanted to ...
PreCalculus real solutions1/8/2008
  Q: I am in high school taking a PreCalc course and am having trouble. My teacher doesn't know how to ...
  A: Sorry to hear your math teacher is not good at explaining things. :-( FYI: Common notation for ...
probability again1/3/2008
  Q: This may sound similar to the last question I asked but it is not. Please take a look if you can. ...
  A: We want: ONE Jack, ONE Queen, and ONE King Since there are 4 of each, there are 4*4*4=64 ways of ...
Algebra1/1/2008
  Q: I do not remember how to use the Y and X graph to work a problem The question is x=1, x=0, and ...
  A: Is there a diagram to go along with this? The question has to be incomplete. There is not enough ...
probability12/29/2007
  Q: I am having difficulties understanding this problem and can't seem to get a correct answer, even ...
  A: Consider the number of ways of selecting 3 Jacks: since there are 4 Jacks, there are C(4,3)=4 ways. ...
word equations6/8/2007
  Q: A cable service is being installed in a new subdivision. The cable must cross a 12 m wide river and ...
  A: Wow, I just found this question of yours from the summer! I had "been on vacation" from AllExperts ...
medical intake and output6/5/2007
  Q: 1 cup of coffee that = 200 cc's and if a person drank 1/3 cup what would that equal to in cc's? also ...
  A: Using your info that 1 cup = 200 cc then 1/3 of a cup = (1/3)*200 cc = 66.67 cc I gather you meant ...
Math problem6/4/2007
  Q: How many cubed pieces of fudge that are 3 inches on an edge can be packed into a Christmas tin that ...
  A: Since 3 divides 9 3 times, we can get 3 pieces along the 9 inch side... 3 divides 12 4 times, we can ...
graphs5/29/2007
  Q: How do I set up the equation of (-8,7) with a slope of 6? I was helping my son and I just can't ...
  A: What you seek is the equation of a linear function... Two popular ways: 1. y=mx+b, where m=slope, ...
Deficient Number1/8/2007
  Q: How do I describe in vocabulary form what a deficient number is and what an abundant number is?
  A: deficient number - A positive integer the sum of whose divisors, including 1 but excluding itself, ...
standard deviation1/3/2007
  Q: I am trying to calculate the new standard deviation when data from two groups is combined. Group 1: ...
  A: I will assume the SD's you gave are "sample SD's"...OK? So that the sample SD formula is: ...
Using math in business1/2/2007
  Q: What is the importance for a business person to be able to add, subtract, multiply, and divide?
  A: If for no other reason, people in business deal with money! I hope you can see the importance of ...
Average12/26/2006
  Q: Not too lateto answer...any input is appreciated!I am calculating personal risk factors and looking ...
  A: In a case like this, an average does not seem appropriate. How about just a total? Either a direct ...
Determine Cost Per Can6/1/2006
  Q: Is there a calculation to use to convert (3 cans)/($4.00) to ($4.00)/(3 cans) without simply ...
  A: What do you mean by "calculation"? (3 cans)/($4.00) = 3/4 of a can per dollar, tells you how much ...
inequalities1/4/2006
  Q: Why does the inequality sign need to be reversed when both sides are divided by a negative number?
  A: Consider a simple example: Certainly 1<2, yes? Now if we multiply by -1, we need to compare -1 to ...
please tell me the simplest...12/30/2005
  Q: please tell me the simplest way to solve the following problem. (Mr sim pays $337.50 for a number of ...
  A: Let x=the number of files purchased, and let y= the cost per file. Thus, 1. xy=337.50, and 2. ...
graphing equations12/29/2005
  Q: How do you draw graphs? ex)2y=x+3 y=1/2x+2 y=2x-1 How do you find the y-intercept and the ...
  A: For graphing linear functions, check these sites: ...
FRACTIONS9/16/2005
  Q: HOW DO THEY GET 4/11 X 22/36= 4/1 X 2/36 = 1/1 X 2/9 = 2/9 WE DON'T GET HOW THEY GET TO 1/1 X 2/9 = ...
  A: ..how many are you??), It does not look that good in typed form, but: (4/11)x(22/36) can be reduced ...
Algebra for my HS daughter9/15/2005
  Q: Seems I have forgot a lot since algebra class. (30+ years ago) Every time I try to solve the ...
  A: First, that is not an equation...for it to be an equation it must have an equal sign in it...i.e. it ...
algebra 29/11/2005
  Q: 1. simple interest solve for r:I=Prt 2.height of an equilateral triangle solve for s:h=V3S/2 ...
  A: 1. Divide by P and t, to get: r=I/(Pt) 2. (I'll use sqrt(3) for the "square root of 3") -- ...
Complex Decimals9/8/2005
  Q: When you expressed 6, the non-zero portion of the decimal in 0.00006, in fractional form, why is ...
  A: I was simply using the notation you had in your original question. I have NEVER seen this before, ...
Complex Decimals9/5/2005
  Q: 1. I can express the complex decimal of (0.00)1/2 (1/2 of 1/100) as 1/200 and then to 0.005, but I ...
  A: I've never seen decimals expressed that way in any math, physics, or engineering book or ...
quiz9/3/2005
  Q: Abe, Thanks for your answer. What concerned me was the wording "Women paid just $5" with no mention ...
  A: Yes, you are being too picky...it is implied that the tickets for women are $5 EACH. What makes the ...
Pythagoras' Theorem8/26/2005
  Q: I decided to take two math classes because I though I could jump of head so I decided to take ...
  A: Sure, I'll help...I need to know what the problem(s) are though! As for taking more math in ...
1/2% & 1/2008/23/2005
  Q: If a surgeon performed an operation that cured all patients except for 1/2 of 1% of those patients ...
  A: Good question! What you say is true, unless...we round-off! Suppose 1 out of 134 people did not ...
Matrices8/22/2005
  Q: if matrix A= [ 2 5 -1 ] [ 3 -2 0 ] and matrix B= ...
  A: First, this is not Basic Math...you should ask this in the Linear Algebra section. Anyhow, in order ...
straight line equations6/1/2005
  Q: mantell, i have been searching many sites to help me with the y-intercept formula and i went to ...
  A: This example shows a line with a slope of -2/3, which contains the point (1,2). 1. substituted x=1 ...
about residual sphere's volume5/29/2005
  Q: i found this question in a website. though it has an answer there, i don't really understand it. A ...
  A: Interesting question! Since the radius of the sphere is not given, it must not matter! Thus, ...
algebra5/26/2005
  Q: how do you solve these step by step without using a calculator..i have the answers but i don't know ...
  A: 1. The diagonal AC is the hypotenus of a right triangle with legs 3 and 3...by the Pythagorean ...
Fractions2/3/2005
  Q: Hi how do you add and subtract fractions?
  A: When adding and subtracting fraction, we need to have a common denominator. For example: 3/4 + ...
Scale Factoring1/31/2005
  Q: This is Natalie's Mom. The only thing we can find in the chapters of her grade 8 math book is scale ...
  A: Well, the "circle graphs" are more commonly known as Venn Diagrams...do you need help with that? As ...
re solving equations involving radicals1/29/2005
  Q: i am completely lost at how to solve these type of problems ex: (sq.root x-5) - (sq.root x-8)=3
  A: We need to eliminate the square root signs... so, square both sides: [sqrt(x-5)-sqrt(x-8)]^2=3^2 ...
a GRE question1/24/2005
  Q: I did not know where I could post this question, but since this question is categorized as an ...
  A: Sure, no problem... We cannot tell from the info provided. We have no idea what percentage the 500 ...
Derivatives of logarithmic functions1/23/2005
  Q: I need to use logarithmic differentiation to find the derivative of (X^y)=(Y^x). I run into trouble ...
  A: Right, we cannot isolate y, so that is one reason for logarithmic differentiation... ...
ALgebra help1/21/2005
  Q: I have a few math questions I am having trouble with. I was wondering if you could show me how to do ...
  A: Hell Rachel, 1. 9(n+2)=n+26, distribute the 9 on the left side -- 9n+18=n+26, now subtract n on ...
prcnt.1/20/2005
  Q: i have no idea hoe to do precentages. please help.
  A: Check these sites for good help: http://www.learningincontext.com/Bridges/chapt07.htm ...
Decimal and significant figures.1/16/2005
  Q: Why do you round up when you have something like 0.55 (e.g., to 0.6 for one decimal place)? Surely ...
  A: Good question! As far as I know, the "rule" to round-up when the digit is exactly "5" is somewhat ...
Finding Least Common Multiple1/13/2005
  Q: I am not really (insistent) on using this method for more than two fractions. I am simply curious ...
  A: I was only confused by your "curiosity" because I felt I already answered your question...so I will ...
Finding Least Common Multiple1/11/2005
  Q: The following calculation can be used to determine the least common multiple (lcm) of two fractions ...
  A: The reason it does not work (in general) with more than 2 denominators is because each denominator ...
Sets1/10/2005
  Q: U is the universal set and A and B are two subsets of U. #U=u, #A=a, #B=b, #(A n B)=x, #[(A u ...
  A: Well, it is tough for me to give a Venn diagram here!!! But I'll try to explain it anyhow... [I'll ...
Formulas1/7/2005
  Q: I am a 50 year young person having recently been accepted into a nursing program at my local ...
  A: Well, what you ask is rather a tall order! Math is not about formulas, it is about understanding! ...
X=4Y+5 X=3Y-2 what do...1/5/2005
  Q: X=4Y+5 X=3Y-2 what do i do i no i have to solve for x or somethin im not sure 3X-5Y=11 X-3Y=1 ...
  A: One way to solve these is to take one of the equations and solve for one of the variables... then ...
Dear Abe i would like to know...1/4/2005
  Q: I'm not an student I just start reading something about algebra and i have this question. please can ...
  A: If you express a parabola as: y=a(x-h)^2+k, then if a<0 the parabola is "upside down" the larger |a| ...
how do I do it?12/31/2003
  Q: My question is, I'm weak in Math and would like to be able to improve and be very good at any math, ...
  A: Sounds like you are doing the right hings. Starting with the basics like pre-algebra, then algebra, ...
algebra8/21/2003
  Q: What is the difference between an algebraic expression and an equation? Thanks so much!
  A: An expression is just a collection of symbols (variables, numbers, functions, etc.) An equation ...

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