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	30 % off		2021-09-07
		From Corrine: When I am shopping for clothing that is for sale, the advertisement may say the item is 30% off. The original price was $70. How much would it now be? (how do I figure that out?) Thank you! Answered by Penny Nom.
	Adding a service charge and the VAT		2020-04-30
		From richard: was given a figure by a client been performance bonus of staff , the figure is 806,698.35 from this 806,698.35 is my company service charge of 10% and 5% of the service charge will be Vat to government in summary from 806,698.35 is 10% of service charge and 5% of service charge is the VAT Answered by Penny Nom.
	What was the original price?		2020-02-01
		From Gracie: If you buy something for $6.30 and it’s 30%off what was the original price? Answered by Penny Nom.
	Roll two dice and record the difference		2019-12-09
		From Barbara: Suppose you roll two dice 100 times. Each time you record their difference (always subtracting the smaller one from the bigger one to get a positive difference). The possible values you get are 0,1,2,3,4 and 5. You record the frequency of each value in the following table: Difference of two dice 0 1 2 3 4 5 Observed frequency 12 31 26 13 10 8 Let your null hypothesis be that the dice are fair, and the alternative hypothesis be that they are not fair. Using a confidence level of α = 0.10, test the null hypothesis by a goodness-of-fit test. Hint: begin by completing table: x 0 1 2 3 4 5 f(x) Answered by Penny Nom.
	What is the original price?		2019-05-15
		From Tyler: if 45% of an item is $90.00, then what is the original price Answered by Penny Nom.
	80% of an item is $200.00 80% of an item is $200.00		2019-04-25
		From kayla: if 80% of a item is $200.00 what is the original price Answered by Penny Nom.
	A dice game		2019-03-17
		From Remo: So, little game my kid came up with. Dice are standard d6. I roll a die, he rolls a die. If he gets the same number as me OR a bigger number he wins. So far so good. Used the opportunity to get him to calculate the probabilities of him winning, see if I could get him interested into looking at this game from a more academic perspective. He did fine. Then we upped the ante. He rolls one die, I roll two dice. I his die has a number that is equal or greater than both of mine, he wins. We had a bit of trouble solving that one, and had to resort to a table with all the results ( 6x36) to figure out where we stood. Then again we upped. He rolls two dice, I roll two dice. If any one of his dice has a number equal to or greater than both of mine he wins. I only win if one of my dice is greater than both of his. And we got stuck. Figured I would need to find a formula to resolve this one, as our earlier solution ( table everything ) suddenly is 36x36, giving well over a thousand possible results. And if we ever go bigger than that then we *really* are going to need another way to calculate it. Answered by Harley Weston.
	Margin with commission as part of selling price		2019-02-13
		From Anni: I need to find selling price to put us at 24% margin. 15% commission is based on selling price and is included in our cost. I'm trying to do it excel and keep getting a circular reference. Total cost= cost + commission (15% of selling price) Selling price=total cost + 24% margin Answered by Penny Nom.
	An ice cream cone		2019-02-05
		From Eyuel: a scoop of ice cream has a 3-inch radius how tall should the ice cream cone at the same radius be in order to contain all of the ice creams inside the cone Answered by Penny Nom.
	Sale price and employee discount		2019-01-18
		From Margaret: What is the formula to find the 75% off full price item that was already marked 30% off? Answered by Penny Nom.
	Price before VAT and a discount		2018-11-15
		From Carol: I bought a computer for £330. The selling price included VAT at 20%. Then I was allowed a staff discount of £30. What was it’s original price before the VAT and staff discount? Answered by Penny Nom.
	The price of eggs rises 10 cents per dozen		2018-11-10
		From Maddie: Hi! I'm currently struggling with a word problem that says: "If the price of eggs rises 10 cents per dozen, one will be able to get 2 dozen fewer eggs with $6.00 than was possible at the lower price. What is the lower price? We are working on completing the square and all of the problems I've done so far in this chapter require using that method. If possible and needed, could you explain how to set up the equation? Thank you so much! I appreciate all your help!! Answered by Penny Nom.
	Rolling 2 dice		2018-04-06
		From Jose: Find the probability p that the sum is as stated when a pair of dice is rolled. (a) Even and doubles. p= (b) Even or doubles. p= Answered by Penny Nom.
	The price of a sheet of metal		2018-04-02
		From Nydia: What is the formula to calculate the following: I nee to find out what the sheet price be. The dimensions are 2000x3000 mm into ft they are 78x1181. The sqft price I have is $22.16. How do I figure out the sheet price from that? Answered by Penny Nom.
	An item on sale costs 55% of the original price.		2018-02-28
		From Debra: An item on sale costs 55% of the original price. The original price was $51 . Answered by Penny Nom.
	The wholesale price given the retail price and the markup		2018-02-07
		From Matthew: Retail $99 Mark-up is 80% What is the equation to find the original (wholesale) price (55)? thanks Answered by Penny Nom.
	Average price		2017-09-15
		From Annette: If I sold a widget at $15.50 17.5% of the time and $16.50 88.5% of the time what is the algebraic expression for that. How do I arrive at an average price Answered by Penny Nom.
	What is the regular price?		2017-05-11
		From Saira: If the sale price is 55.50$ and the discount is 12% what is the regular price Answered by Penny Nom.
	Selling price and markup		2017-04-24
		From Julie: What would the cost of an item be, if the sell price was $50 and the markup 48% Answered by Penny Nom.
	How do I establish the original List Price?		2017-01-15
		From Bob: (1) I have a net price item at $4,664.66 but do not have the discount percentage. I have been told I received 40%? How do I establish the original List Price and to confirm what discount I received? Answered by Penny Nom.
	Selina saved $6 on a 20% off sale		2016-10-14
		From Myra: I don't know how to help my child answer this question - Selina bought a shirt on sale that was 20% less than the original price. The original price was $6 more than the sale price. What was the original price? Answered by Penny Nom.
	A 15% discount		2016-08-09
		From eunice: brian brought a printer sale at the store. the discount was 15%, and brian saved 550. what was the printer original price? Answered by Penny Nom.
	A 70% off sale		2016-05-11
		From virginia: If the sale price is $129.99 @ 70% off - what was the original price? Answered by Penny Nom.
	The original price before a discount and taxes		2015-12-09
		From Michelle: Good day, I would like to know if there is a particular equation to validate the following information: I had to find the original cost of an item sold for 759.36$ before a 25% discount and 13% taxes. I know we must use separate question to obtain the answer but I am unsure how to write the equation to validate my answer. Answered by Penny Nom.
	Two price reductions and a coupon		2015-09-16
		From Suszanne: Mary purchased an item for 45% off the original price, plus an additional 20% off the sale price.She also had a $5 off coupon, which the salesclerk applied after these two discounts. Mary's final purchase price for the item was $50. She paid no sales tax, what was the original price of the item? Answered by Penny Nom.
	Order of operations		2015-09-12
		From Tanisha: I would just like to double check if something like 5x squared times 4x cubed equals 20x to the power of 5?? It's just that we were told you can only answer an equation like this if the base is the same...so does that mean the x part or the whole thing like 5x? I'm sorry if that didn't make sense! Thank you for your help!! Answered by Penny Nom.
	A cone of maximum volume		2015-03-16
		From Mary: I have to use a 8 1/2 inch by 11 inch piece of paper to make a cone that will hold the maximum amount of ice cream possible by only filling it to the top of the cone. I am then supposed to write a function for the volume of my cone and use my graphing calculator to determine the radius and height of the circle. I am so confused, and other than being able to cut the paper into the circle, I do not know where to start. Thank you for your help! -Mary Answered by Robert Dawson.
	What is our cost?		2015-01-27
		From Johanna: I have a pieces of 3/4" sch40 (round tube) 240" long at $70. What is our cost. We also add 35% to our cost for selling price. How do I figure this out? Answered by Penny Nom.
	Selling items at a reduced price		2015-01-09
		From Kent: I have an item I sell for $19.95 and make a profit of $10.97 for each sale. If I reduce the price to $14.97, my profit is $5.99 each sale. Is there a formula to determine how many more I would need to sell at $5.99 per sale to make the same net cash (profit) as selling at $10.97 per sale? Answered by Penny Nom.
	A price increase and a consumption decrease		2014-08-16
		From sujan: If the price of petrol increases by 25% and Rajesh intends to spend only 15% more on petrol then by how much % should he reduce the quantity of petrol he buys? Answered by Penny Nom.
	Speed, distance, time		2014-08-13
		From Aarti: a theif running at 8 km/hr is chased by a policeman whose speed is 10km/hr.if the thief is 100 m ahead the policeman then what will b time required for the policeman to catch the thief? Answered by Tyler Wood.
	What was the selling price?		2014-04-25
		From Con: Apple built 40 32GB wifi iPads, gave away two in a contest, and sold the rest at two times the manufacturing price. If the company's total profit was $10,782, what is the selling price of one of these iPads? Answered by Penny Nom.
	A conditional probability problem		2014-04-13
		From Chiluya: Two fair dice are rolled. what is the probability that the number on the first die was at least as large as 4 given that the sum of the two dice was 8? Answered by Penny Nom.
	Graphing piecewise functions		2014-03-29
		From Rayven: Hi! I'm in eighth grade, taking ninth grade algebra 1. I'm confused as to how to graph piecewise functions. I know that you have already answered a question similar to this (I did my research first) but it didn't completely help me on my homework. I have to graph piecewise functions for the specified domains, and create a table for the absolute values. I know that two bars around a number means absolute value (two bars around -2 makes it +2) , but how do I graph and chart the absolute value for the following: f(x)= |x+3 | for -5≤x≤3 And then graph and chart: (on a separate graph): f(x)= {x if x≤0 {x+1 if x <0 thank you! ~Rayven Answered by Penny Nom.
	Determine the selling price		2014-03-08
		From augustine: knowing an auctioneer charges a 7% fee and I know I want $74,400 what is the formula to determine selling price. Answered by Penny Nom.
	Finding the retail price		2014-02-22
		From Judy: An item is currently on sale at 37% off the retail price. The item now sells for $350. My Question: What is the retail price and what is the formula or steps to figuring that out? Answered by Penny Nom.
	A sale price for a TV		2013-11-28
		From tom: a TV can be purchased for $278 normally is $328. what is the percent of the present cost of this TV will you be saving? Answered by Penny Nom.
	Matrices		2013-11-10
		From Ricky: Why must we have brackets around matrices. Why don't we just neatly write an array of entries cross-wise and up and down to indicate a particular matrix? Answered by Chris Fisher.
	Price, revenue and profit		2013-09-22
		From lorraine: What price maximizes revenue? What price maximizes profit? The only data I'm given is total output, total revenue, and total cost. I'm not sure how to set up a formula Answered by Penny Nom.
	Dice		2013-05-14
		From Julia: What is the probability of rolling(as many times as necessary) a die and getting a total number(sum) when all the rolls are added together of 11? Answered by Lorraine Dame.
	What is the original price?		2013-04-25
		From Dylan: shirts on sale for 25% off, the sale price is 12.75. What is the original price? Answered by Penny Nom.
	Row echelon form		2013-03-15
		From Shawn: Please help me put matrix in row echelon form: 1 9 8 0 5 8 1 35 1 -4 -1 17 Answered by Penny Nom.
	Markup and discount to get a sale price		2013-03-02
		From Warren: If you are an ardent shopper you will be aware of the discount (% decrease) marketing strategy to produce the sale price. I began to wonder just how much mark-up (% increase) was added initially to an item in order to deliver the discounted sale price. It was simple to construct a formula to convert one to the other. For example a 30% (mark down) decrease in price required a 42.86% (mark up) to increase the price initially to Tag price. However when I started apply the formulae to a number of circumstances I noticed some very interesting circumstances associated with this relationship For example a 99.999999% decrease is numerically equal to a 9,999,999,925% increase (huge ratio difference) while conversely a 0.1% decrease is numerically equal to a 0.10010010% increase (Infinitesimally small ratio difference) so the patterns appears logarithmic not linear. However what really caught my attention was this pattern See http://www.ozsmart.com/doc/percentage.htm My questions is why does the decline in the ratio of increases in required mark up (%) price peak at 50 and 51% precisely and then expand again as the percentage move higher Any explanation would be appreciated Answered by Harley Weston.
	Your profit should be 20% of your cost		2013-02-21
		From anis: if the customer says your profit should be 20% of your cost.. 1) my selling value should be cost +20% of cost = SP or 2)cost / 0.80 = SP which is correct...if the second answer is right how should i justify my customer Answered by Penny Nom.
	We have 2 teams of 6 couples each that play 6 games		2013-01-25
		From Denise: We put together a game night where we have 2 teams of 6 couples each that play 6 games. We haven't been able to figure out an arrangement that allows each couple to play each game with a different couple from the opposite team (i.e. Team A couples play every game with a different couple from Team B). Is this possible? It works with 2 teams of 5 couples each. Answered by Chris Fisher.
	The area of a triangle given its vertices		2012-11-27
		From elizabeth: how to calculate the area of a triangle using points ABC a (2,5) b ( -4,-3) c ( 6, -1) Answered by Penny Nom.
	The difference of the numbers on two dice		2012-08-19
		From dilys: Two fair dice are thrown. Find the probability that the difference of the two numbers is divisible by 4? Answered by Chris Fisher and Lorraine Dame.
	The maximum distance from the vertex of a triangle		2012-05-02
		From David: There are three towns A,B,and C, equi-distant apart. A car is 3 miles from town A, and 4 miles from town B. (ie, somehwere outside of the triangle which the three towns form) What is the maximum distance that the car can be from town A? This was asked as quiz question in my local pub last Sunday. The answer is 7. How do I prove it? Best regards. David in Denton. Answered by Robert Dawson and Chris Fisher.
	What is the better price?		2012-03-30
		From john: What is the better price? If a bag of mulch sells for $6.75 and contains 2.7 cubit feet versus a bag selling for $5.99 and contains 2 cubit feet. Which is the better value? Answered by Penny Nom.
	The price per square inch of a pizza		2012-03-17
		From jordan: pizzaz pizza sells a small pizza for $10.99.it has a diameter 10 inches.what is th price per square inch ? Answered by Penny Nom.
	Rolling three dice		2012-01-26
		From Aishwarya: A red, a blue and a green die are all thrown at the same time. Display all the possible outcomes in a suitable way. Find the probability of obtaining:- 1. A total of 18 on the three dice 2. a total of 4 on the three dice 3. a total of 10 on the three dice 4. a total of 15 on the three dice 5. a total of 7 on the three dice 6. the same number on each die.. Answered by Robert Dawson.
	A cube of ice is melting		2011-12-05
		From Emily: a cube of ice (i.e.) each side is of the same length) is melting at a rate such that the length of each side is decreasing at a rate of 5cm per hour. how fast is the volume of the cube decreasing (in cubic cm per hour) at the instant the length of each side is 25cm? Answered by Penny Nom.
	What was the cost price of the article?		2011-11-10
		From tashana: By selling an article for $320,the profit was 20% of the cost price.what was the cost price of the article. Answered by Penny Nom.
	6 faces and 8 corners		2011-03-04
		From noemi: jeff made a figure with 6 faces the figure has 8 corners all of the faces are the same size and shape what figure did jeff make Answered by Penny Nom.
	Vertices and sides of a polygon		2011-03-04
		From RINA: My questions is : would a vertices and sides of a polygon be the same number.  For example, a octagon it has 8 points and 8 sides. Am i correct? Answered by Robert Dawson.
	The height of an iceberg		2010-12-16
		From Sharon: if an iceberg can be seen 10% or 70 meters above the water, what is the measurement in meters of the iceberg below the surface of the water? Answered by Robert Dawson and Penny Nom.
	Geocaching		2010-10-15
		From Clint: I am stuck on a puzzle for Geocaching which is a GPS game. I know it is a number matrix but don't know how to start. [1 -7 16 -3 -9; 1 -3 18 -20 -33] x [1 8 -9 3 5; 0 1 0 4 2; 0 0 1 2 1; 0 0 0 1 -1; 0 0 0 0 1] = ? Answered by Stephen La Rocque.
	Selling price, cost and profit		2010-06-22
		From Alex: The profit on a certain television set is 16.5% of the cost price. If the profit is $330, Find: a) the cost price b)the selling price of the television Answered by Penny Nom.
	The vertices of an equilateral triangle		2010-02-19
		From Emma: If two of the vertices of an equilateral triangle are (2,1) and (6,5), what are the two possible coordinates of the third side of the triangle? Answer in radical form. Answered by Tyler Wood.
	The price before tax		2010-02-15
		From dawn: the sale tax on a cape was 6%,and total price with tax was $92.75,what was the price of the cape? Answered by Penny Nom.
	A triangular pyramid		2010-01-05
		From ally: how many vertices, edges, faces in a triangular pyramid? Answered by Robert Dawson.
	Find the original price		2009-11-06
		From Cyndy: Find the original price of a pair of shoes if the sale price is $98.00 after a 30% discount. Answered by Penny Nom.
	Commodity price increase		2009-11-04
		From bharat: if price of a commodity increases by x% the to keep the expenditure same the decrease in consumption should be (x/(x+100))*100, why? Answered by Penny Nom.
	A single die is rolled twice		2009-11-03
		From Michelle: A single die is rolled twice. Find the probability of getting two numbers whose sum exceeds 5. I can't seem to come up with any of these answers, Help. A. 0.72 B. 0.89 C. 0.68 D. 0.58 Answered by Penny Nom.
	Toss a coin and roll a die		2009-09-21
		From Celeste: Can you please tell me how to set up this problem to find the answer. I know they are independent from there I don't know. a coin and a regular six-sided die are tossed together once. What is the probability that the coin shows a head or the die has a 5 on the upward face? Answered by Penny Nom.
	A trillion grains of rice		2009-09-14
		From akaila: can 1trillion rice grains fit in a classroom with the area of 144.4m3 Answered by Penny Nom.
	Price increases and decreases		2009-09-02
		From craig: I work for an industry that bases it price increases and decreases on commodity pricing - Customer get confused on how/why we calculated new prices due to movement in the market - Price go up x% for every $10 of movement in the market - For this example- Movement went down by $30 and it is 2% for every $10 - so price decrease was 6%. Customer's price is currently $100. We say - $100/1.06= new price of $94.3 Customer says - $100*.94= new price of $94. They don't understand that if board went back up $30 which would be 6% increase, they wouldn't be back at $100 if they multiplied on the price decrease. $94*1.06=$99.64 vs. $94.3*1.06=$100 (Back to the original price) What is the best way to explain to customer besides using this example? Any help or info is appreciated. Craig Answered by Victoria West.
	Percentage price change		2009-08-27
		From alicia: what is the percentage price change between R66-R10 if the answer between the two is R56 Answered by Penny Nom.
	The taxable part of an invoice		2009-08-25
		From Carol: Question from CAROL: THE INVOICE TOTAL IS 2731.90 BUT IT DOES NOT SHOW WHAT THE NET AMOUNT IS THAT THE STATED GST OF 121.90 IS. HOW DO I CALCULATE THE NET AMOUNT THAT THIS GST AMOUNT REFERS TO? Answered by Harley Weston.
	Torricelli's trumpet		2009-07-29
		From Gary: I was reading about torricelli's trumpet which is described by the equation1/x which is then rotated around the x axis which results in a figure which looks like a trumpet. Now in order to find the volume the integral 1/x^2 dx is used which diverges when integrated so the volume is finite.However if you integrate 1/x dx which is the formula on the plane the answer diverges. Now if you took an infinite area then rotated it around the x axis shouldn't you get an infinite volume? Notice the area I am talking about is under the line 1/x not the surface area of the trumpet which is what the painters paradox is about What am I missing? Thanks Answered by Robert Dawson.
	The retail price for an ice cream scoop		2009-07-05
		From Patricia: Hi - I am trying to figure out the fairest retail price for an ice cream scoop. We have an ice cream parlor and the cost of the ice cream we buy by the bulk container has recently been increased so now we must charge more for our scoops. We pay a wholesale price of $25.40 for 242 ounces of ice cream. The cost per ounce is $0.105. What is the formula for figuring out how much to charge retail per scoop? This is probably so simple but confusing to me. Please help. Thank you! Answered by Harley Weston.
	Unit Price		2009-06-08
		From MATTHEW: Question from Matt: I quoted my customer $112.50 per 1,000 sheets per linear yards. My client said I was to high. I need to be at 18 cents per square inch. If I matched his 18 cents per square ines what would my linear yards per 1,000 sheets price be? It comes on a 12.5 inch roll. Answered by Janice Cotcher.
	Two dice and the difference of squares		2009-04-21
		From dave: I dont understand how to do this: Two fair dice are rolled. What is the probability that the difference of the squares of the numbers is divisible by three? the answer is 5/9 Answered by Harley Weston.
	Choices at a restaurant		2009-04-13
		From Rob: There is a restaurant you get: Rice/Noodles (1) Main Ingredient (any) Sauce (1) 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7     8     9     10     11     12   So the question is how many different combinations are there. You can only have 1 rice/noodles in a selection and only 1 sauce in a selection but you can have between 1 and all twelve mains in a selection. there are 7 rice/noodles , 12 mains and 6 sauces. How many possibilies. I did it mentally in the restuarant, no pen, paper or calculater and i got 3276..i think thats wrong. please help Rob Answered by Robert Dawson, Stephen La Rocque and Claude Tardif.
	The axiom of choice and constructibe sets		2009-04-10
		From sydney: The axiom of choice asserts the existence of certain sets, but does not construct the set. What does "construct" mean here? For example, does it require showing the existence and uniqueness of some function yielding the set? In general, what does it mean to require the existence of a mathematical object be tied to a construction of it? Answered by Claude Tardif.
	A large, hollow, ice cream cone		2009-04-03
		From Darah: A manufacturer is making a large, hollow, ice cream cone to serve as an ad for a local Baskin-Robbins. The ice cream cone is made up of a cone with height 8 feet, topped by a hemi-sphere with radius 6 feet. How much ice cream could the hollow object hold? If a gallon is 0.13368 cubic feet, how many gallons does it hold? If 3 gallons of Baskin-Robbins heavy cream chocolate blend weighs 24 pounds, how much would the ice cream cone weigh, excluding the weight of the construction material? Answered by Stephen La Rocque.
	Grain of rice on a chess board		2009-03-30
		From andy: Is there an easy way for my students to find out 8 to the power of 21 to solve the grains of rice doubling investigation on a chessboard? Any suggestions welcome. Thanks very much Answered by Robert Dawson and Claude Tardif.
	Find the retail price		2009-03-18
		From Allie: If you have food that costs $0.75 per portion and your food cost is 16.5% how would you find the retail price? Answered by Penny Nom.
	License plates and poker hands		2009-03-14
		From CC: You have a license plate it can have 6 numbers/letters you can use the numerals 0-9 and the letters A-Z how many combos are possible and how did you figure it out? Question 2, Your dealt an Omaha hand You have KKKQQ, how many different hands can consist of the same cards. Answered by Harley Weston.
	15 flavors of ice cream		2009-03-11
		From Pedro: I was given this word question an was somewhat confused can u help me understand. An ice cream vendor sells 15 flavors of ice cream and u want to sample at least 4 different types. how many different combinations of ice cream would u be able to sample? Answered by Penny Nom.
	A shape with 10 sides		2009-03-03
		From Sandra: One of my son's math questions is as follows: Suppose I have a shape with 10 sides. I choose a vertex then draw lines to the other vertices that dont share sides with the first vertex. How many vertices will that be and why? Answered by Penny Nom.
	A triangular pyramid		2009-02-26
		From Craig: Can you help with this question: Write the names of the faces and the number of each kind of face on a triangular pyramid? Answered by Penny Nom.
	Vertices, edges and faces		2009-02-19
		From Deb: I have been reading the responses you have to whether or not a cone and cylinder have edges, and whether a cone has a vertex. I have also found differing answers in different books and websites. Your idea that it depends why we want to call it a vertex or edge is interesting but does not help the students next year when they have a different teacher who tells them that whatever decision I make is wrong! It also doesn't help them when they do the provincial testing. Does anyone know if EQAO considers them vertices or edges? I want to know because textbooks and provincial tests often ask the students to count the number of faces, edges, and vertices or to describe a solid by using these, or to identify a solid that they have described. We need to have consistency in what we are teaching! Answered by Chris Fisher.
	The column space of a matrix		2009-02-12
		From John: Question from John, a student: A= 1 1 0 0 1 1 0 0 0 0 1 0 0 0 1 1 B= 1 5 6 1 5 6 0 7 2 0 0 9 Is the space spanned by the columns of A the same as the space spanned by the columns of B? Answered by Harley Weston.
	Faces, edges and vertices		2009-02-04
		From sheila: what is the relationship between the number of faces and the number of edges of a triangular pyramid ? Answered by Penny Nom.
	Calculating markup		2009-02-03
		From Tonya: I'm trying to figure out the formula for the following, I have a product that I want to receive a certain profit, but with this product I also have to pay a percentage of commission to someone. I need to know how to calculate my new selling price taking into account the markup percentage, but I don't want my cut to be lowered. I have calculated the markup percentage to get my new selling price with the commission, but it lowers my cut once I pay the commission and I don't want it to do that. Thanks Answered by Penny Nom.
	A die is loaded so that...		2009-01-30
		From Larry: Hi. I'm having trouble solving this problem. Would you be kind enough to point me in the right direction? A die is loaded so that the probability of a particular face rolling up is proportional to the number of dots on the face. In other words, getting a six is three times as probable as getting a two. what is the probability of getting an even number in one toss? Answered by Victoria West.
	PST and GST		2009-01-20
		From janet: Hello I need to figure what one would pay pst 8% gst 5% on a total of $1700.00 I have a small business some pay with cash I need to calculate the taxes in reverse Can you help with formula that the government might like Thank you Janet Answered by Harley Weston.
	License plates		2008-11-17
		From Clayton: Okay, so in this situation a license plate must have four letters (A-Z) and four numbers (0-9), ex. ABCD-1234, where repeating a letter or number is allowed ex. AAAA-1234, or ABCD-1111, or AAAA-1111. The order of letters first numbers second, or number first, letters second is allowable, and each state has its own plates, so ABCD-1234 from New York, and ABCD-1234 from Minnesota are considered different combinations, how many different license plates could there be? Answered by Penny Nom.
	Confusion in a multiple choice question		2008-11-14
		From BJ: My son got this math problem which he could mostly solve. Here it is: The highest location in a certain country is 4525 m above sea level. The lowest point in the same country is 192 m below sea level. a) Find the difference of the two elevations. His answer: a-(-b)= a+b or 4525-(-192)= 4525+192=4717 m. No problem. b) A city is 2221 m above sea level. Is this elevation closer to the highest point or the lowest point? His answer: highest point because: 4525-2221= 2304 m (closest to the highest point) and 2221-(-192)=2221+192= 2413 m. (farthest to the lowest point). OK so far. But then he was given 4 choices for this question with no other information: a) 4717 m; lowest b) 4333 m; lowest c) 4333 m; highest d) 4717 m; highest What does it mean? What's the connection with the rest of the problem? Answered by Harley Weston.
	The volume of a slice from a wedge		2008-10-16
		From Jeff: If I have a wedge shaped object (ie, a triangle of non-specific type extruded along a length) and it is sliced from the two-corner base at one end to the one-point tip at the other, what is the volume of the upper (smaller) part as a percentage of the whole? I hope I have explained it clearly enough. Thanks. Answered by Harley Weston.
	The vertices of a triangle		2008-09-27
		From T.: how do you find the coordinates of the vertices of the triangle with the sides determined by the graphs of the following equations:4x+3y+1=0,4x-3y-17=0,4x-9y+13=0? Answered by Harley Weston.
	A multiple choice exam		2008-09-13
		From Phalange: A multiple choice exam consists of 12 questions, each having 5 possible answers. To pass, you must answer at least 9 out of 12 questions correctly. What is the probability of passing if: a. You go into the exam without knowing a thing, and have to resort to pure guessing? b. You have studied enough so that on each question, 3 choices can be eliminated. But then you have to make a pure guess between the remaining 2 choices. c. You have studied enough so that you know for sure the correct answer on 2 questions. For the remaining 10 questions you have to resort to pure guessing. Answered by Harley Weston.
	A price reduction and a discount		2008-09-11
		From Rita: A store advertises that during its Labor Day sale $15 will be deducted from every purchase over $100. In addition, after the deduction is taken, the store offers an early-bird discount of 20% to any person who makes a purchase before 10 a.m. If Hakeem makes a purchase of x dollars, x > 100, at 8 a.m., what, in terms of x, is the cost of Hakeem's purchase? (1) 0.20x - 15 (3) 0.85x - 20 (2) 0.20x -3 (4) 0.80x - 12 Answered by Penny Nom.
	The selling price		2008-09-04
		From Robert: Client wants to sell his property providing he is left with 100000.00$ net. How do I calculate selling price if commission is 6% and taxes on the commission 6% Fed and 7.5%prov. I'm taking the real estate class and this one really got me. Answered by Penny Nom.
	A linear system		2008-08-23
		From dipesh: consider the system of equations x-6y+2z=5 2x-9y-z=14 4x+12y-3z=19 by reducing the augm matrix to row echelon form, find the solution to the equation. leaving the first two equations the third is changed to -3x+6y+14z=-31 show the equations have infinitely many solutions and give a general formula for them Answered by Penny Nom.
	Joining vertices in a polygon		2008-08-18
		From Megan: I'm trying to develop a relationship between the number of points of a regular polygon and the (a) number of lines you could draw between those points, (b) number of triangles you could draw, (c) number of quadrilaterals, etc. Answered by Penny Nom.
	What is the GST component?		2008-06-11
		From Jilly: I need to find a quick and easy formula for finding the gst (10%) of the total amount in $ terms, eg: the total is $500 what is the gst component? Answered by Penny Nom.
	Calculating a price based on markup		2008-06-03
		From Sheldon: I know the most common form for retail businesses of calculating a price based on markup is: Cost/(1 - Markup), but how is this supposed to work for a business that desires a markup of over 100%. Answered by Harley Weston.
	Selling price		2008-05-10
		From Roxane: I'm trying to figure out the formula for the following, I have a product that I want to receive a certain profit margin, but with this product I also have to pay a percentage of commission to someone. I need to know how to calculate my new selling price taking into account the markup percentage, but I don't want my gross margin to be lowered. I have calculated the markup percentage to get my new selling price with the commission, but it lowers my profit margin once I pay the commission and I don't want it to do that. Answered by Penny Nom.
	Determinants		2008-05-02
		From Henry: I have a question about solving 3x3 matrices. The traditional way, or at least the way I've been taught, is that if one has a 3x3 matrix such as: [ a b c ] [ d e f ] [ g h i ] one solves it according to this formula: [ei - hf) - (bi - hc) + (bf - ec) = determinant. According to a book I'm now studying to prepare for the California CSET exam, there is another, easier, way to solve it: [ a b c ] [ a b ] [ d e f ] [ d e ] [ g h i ] [ g h ] In other words, one repeats the first two rows of the matrix and adds them to the right. At this point, the determinant is calculated thus: (aei) +(bfg) + (cdh) - (gec) - (hfa) - (idb). Is this, in fact, correct? Answered by Harley Weston.
	The maximum area of a pizza slice		2008-04-12
		From charles: A slice of pizza in the form of a sector of a circle has a perimeter of 24 inches. what value for the radius of the pizza makes the slice largest[when o is the central angle in radians, the area of the sector is given by A= r^20/2and the length on the circle is given by s=r0 Answered by Harley Weston.
	Matrix multiplication		2008-04-08
		From manashi: i. why matrix division is not possible? ii.when we add or subtract two matrix , getting the result by addind or subtracting correspondind elements....but in case of multiplication it is not but why? Answered by Harley Weston.
	A shape		2008-04-03
		From Joshua: what shape has 4 faces, 4 corners and 9 edges. Answered by Penny Nom.
	The number of faces and vertices in a pyramid		2008-04-02
		From Laurie: Can you find a connection between the number of faces and vertices in a pyramid and the number of sides of it's base??? Answered by Penny Nom.
	Some solid figures		2008-02-28
		From tiffany: What solid figure could have? It has 4 more edges than vertices, Answered by Penny Nom.
	Rolling a 5 before an 11		2008-02-27
		From Jeremy: If rolling two six-sided dice, what is the probability that a sum of 5 will be rolled before a sum of 11? Answered by Stephen La Rocque and Harley Weston.
	A line drawn between 2 vertices		2008-02-26
		From Arshad: what is a line drawn between 2 vertices which are not next to each other called. Answered by Penny Nom.
	Actural cost, selling price and commission		2008-02-21
		From LiSa: I have a question about a few things if anyone can answer... ex. actual cost (AC) = $1000 selling price (SP) = $ amount earned for company (C) = 15% of... selling price? commission 1 (C1) = 2.5% commission 2 (C2) = 2.5% How would you calculate how much the company's commission amount would be as well as the amounts for the other 2 that get 2.5%? And what would the selling price be? (the 15% $ + 2.5% $ + 2.5% $ ?) Is the 2.5% taken from the original amount? I am soooo confused! If anyone could help, that would be great! Answered by Harley Weston.
	How many different hamburgers is it possible to order?		2008-02-17
		From Elizabeth: At a hamburger stand you can order a hamburger with any of the following, in any combination: ketchup, mustard, pickles, onions, tomatoes, mayonnaise and/or lettuce. How many different hamburgers is it possible to order? Answered by Penny Nom.
	What solid figure has 1 flat surface and 0 vertices?		2008-01-30
		From Cheronda: What solid figure has 1 flat surface and 0 vertices? Answered by Stephen La Rocque and Harley Weston.
	Sides and vertices		2007-11-17
		From derek: What is the correct name for a 2D geometric shape that would look like one slice from a round pizza and how may sides and vertices would it have? I believe you would say it has one vertex and two sides with the curved boundary not resulting in vertices or a side. Your help is much appreciated. Answered by Chris Fisher and Walter Whitelty.
	The best price for topsoil		2007-11-15
		From Dawn: What is a better deal for topsoil, $150.00 for 10 cubic yards, $170.00 for 22 tons, or $200.00 for 11.5 yards? Answered by Penny Nom.
	A line between 2 vertices		2007-10-28
		From robert: what do we call a line between 2 vertices which are not next to each other Answered by Walter Whiteley.
	Rolling a die repeatedly (you can't just add percentages)		2007-10-04
		From Howard: If my son has a 16.66% chance of rolling a particular number on a dice, and he rolls for it 6 times, he knows (from experience) that his odds of getting at least 1 right are not 100% (16.66% +16.66%+16.66% etc). He asked me if there was an equation that would give him the correct percentage chance of success when trying X times for a Y% chance of something. Answered by Victoria West.
	Cubic meters, square feet and office space		2007-09-25
		From Kathryn: Can someone please help and let me know how do you convert 11 cubic meters into square footage? Answered by Steve La Rocque and Harley Weston.
	The diagonal of a square		2007-09-23
		From Nasreen: A(7,2) and C(1,4) are two vertices of a square ABCD find in the form ax+by=c the equation of the diagonal BD Answered by Stephen La Rocque.
	Vertices		2007-09-18
		From Richard: Please help. Do not understand vertices, as in how many in a cone, hemisphere, etc. Answered by Harley Weston.
	How many vertices are there?		2007-09-10
		From Makayla: I've just started the 4th grade and I am having trouble with a question on my homework. The questions is: Carrie is arranging sticks to make shapes. she has made a closed figure, with 10 sides How many vertices are there? I believe the answer is ten but I'm not sure. Answered by Stephen La Rocque and Walter Whiteley.
	Twenty dining tables		2007-08-13
		From priya: Utkarsh bought 20 dining tables for Rs 120000 and sold these at a profit equal to the S.P of 4 dining tables.Find the S.P of one dining table.(give the answer in statements) Answered by Stephen La Rocque.
	Guessing multiple choice answers		2007-07-24
		From carla: You are taking a multiple choice quiz that consist in 3 questions, each question has 3 possible answers only one is correct. To complete the quiz you randomly guess the answer to each question . Find the probability of guessing exactly 2 answer correctly. b) at least to answer correctly . c)less than two answer correctly Answered by Stephen La Rocque.
	A triangular pyramid		2007-07-22
		From shani: my homework question is confusing (yr 7 beginner) "How many vertices does a triangular pyramid have." (Mum thinks all triangles are triangular& vertices are sides) I want to be sure. Answered by Penny Nom.
	Discount percentage		2007-07-11
		From Greg: List Price: $50.00 Discount: 33 1/3% What would the net price be? Answered by Stephen La Rocque.
	The probability of rolling double sixes twice in a row		2007-07-10
		From Matt: what is the probability of rolling double sixes twice in a row? Answered by Stephen La Rocque.
	How fast was he going?		2007-06-03
		From Mary: if a motorcycle left a 63 foot skid mark before hitting a car how fast was he going ? Answered by Penny Nom.
	The difference between two dice		2007-06-02
		From smiley: Two standards dice are rolled. Determine the probability that the difference between the two numbers on the dice is 2 Answered by Penny Nom.
	Hexagonal pyramids		2007-05-17
		From Tracey: How many faces, edges, and vertices does a hexagonal pyramid have? Answered by Stephen La Rocque.
	What's a vertex? What's an edge?		2007-05-16
		From Sophie: I don't understand what is a vertex and what is an edge. Please put a picture up and explain. I am a fifth grader. Answered by Brennan Yaremko and Steve La Rocque.
	The vertices of a triangle		2007-05-02
		From natakie: Find the coordinate of the vertices of a triangle whose sides lie on the following three lines. 2x+5y-16=0, 4x-3y-6=0 and 3x+y+2=0 Answered by Penny Nom.
	Vertices, edges and faces		2007-04-19
		From Kimberly: I am trying to help my son find the vertices, edge, and face of a 16 sided figure. I am not sure of the process to use to find these, could you please tell me how to do this? Answered by Penny Nom.
	Which solid figure has 4 more edges than vertices?		2007-03-22
		From dawn: which solid figure has 4 more edges than vertices? Answered by Penny Nom.
	Rolling two dice		2007-03-06
		From Mary: I have a test and I need to know how to figure out how to find the probability of rolling 2 dice and coming up with a 7 for both rolls. Could you please explain how to find the probability? Thank you. Mary Answered by Penny Nom.
	What constitutes a face for a geometric solid?		2007-02-14
		From Erica: What constitutes a face for a geometric solid? We have been getting conflicting answers from different textbooks. Some teachers are saying that cylinders and cones do not have faces. I'm thinking that cylinders have 2 and cones have 1. Please enlighten me. Thanks! Answered by Walter Whiteley.
	A margin of 19%		2007-02-01
		From Ed: I PAY $10.95 FOR THIS PRODUCT, HOW SHOULD I PRICE IT IN ORDER TO HAVE A MARGIN OF 19% COST. Answered by Penny Nom.
	At the ice cream parlor		2007-01-10
		From Bill: at the ice cream parlor, customers can chose among five different ice cream flavors and can choose either a sugar cone or a waffle cone. considering both ice cream flavor and cone type, how many distinct triple-scoop with three different ice cream flavors are available? Answered by Penny Nom.
	A cylinder has how many flat surfaces, vertices, and edges?		2007-01-09
		From Stacy: A cylinder has how many flat surfaces, vertices, and edges? Answered by Diane Hanson and Penny Nom.
	How many licence plates are possible?		2006-11-24
		From Naomi: The state of New York has licence plates with five numbers followed by either a letter A or a letter B (eg. 36457A ,59972B ). How many licence plates are possible? Answered by Penny Nom.
	Lattice multiplication		2006-10-16
		From Patti: I am a parent of a 5 th grader, and am a bit loss in the "new" math. I know how to multiply using the "old fashion" method. But, could you please explain lattice multiplication. Answered by Diane Hanson.
	A board is cut into two pieces...		2006-07-11
		From DeAnna: A 102" board is cut into 2 pieces. One piece is two times the length of the other. Find the lengths of the two pieces. Answered by Stephen La Rocque.
	What is the probability that the policeman will shadow the correct person?		2006-06-14
		From Kolby: Through an informer from the underworld, the police know the meeting place of a gang. The identity of the different gang members, however, is unknown. it is the duty of a policeman to shadow the leader of the gang. The policeman knows that the leader is the tallest of the five persons, all of whom have different heights. after the meeting, the gangsters, as a safety measure, leave the building separately at intervals of 5 minutes. As the policeman cannot see who is the tallest, he decides to let the first two gangsters go and shadow the one after that who is taller than all those who left before.Through an informer from the underworld, the police know the meeting place of a gang. The identity of the different gang members, however, is unknown. it is the duty of a policeman to shadow the leader of the gang. The policeman knows that the leader is the tallest of the five persons, all of whom have different heights. after the meeting, the gangsters, as a safety measure, leave the building separately at intervals of 5 minutes. As the policeman cannot see who is the tallest, he decides to let the first two gangsters go and shadow the one after that who is taller than all those who left before. What is the probability that the policeman will shadow the correct person? Answered by Steve La Rocque and Claude Tardif.
	What is the original cost?		2006-04-19
		From Charlie: Selling a piece of furniture for $670 and the profit is 35%. What is the original cost? Answered by Stephen La Rocque.
	What is the cost price?		2006-04-14
		From Purushotham: If the selling price is 120 and the profit is 20%, what is the cost price? Answered by Stephen La Rocque.
	Price percentages		2006-04-13
		From Kristine: An item that is no longer on sale at "25% off" receives a price tag that is 33 1/3% more than the sale price. Has the item price been restored to its original price? Why or Why not? Answered by Stephen La Rocque.
	List price plus 10%		2006-04-03
		From Heather: We shipped 2 pieces of an item with a unit price of $578.74 for a total amount of $1157.48. My task is to bill the customer at LIST + 10%. What formula do I need to use to calculate this? Answered by penny Nom.
	The square footage of an area in my backyard		2006-03-17
		From Kim: I need to find out how to calculate the square footage of an area in my backyard that is in the shape of a "slice of pie". There are two sides that are straight lines that come together at the top to form a point, and then at the bottom is a curved line that joins the two other lines together. I need to figure out how to calculate the square footage that is inside the area. Answered by Penny Nom.
	A probability question which resulted from a game of Yahtzee		2005-12-31
		From Robert: Could someone please assist me with this probability question which resulted from a game of Yahtzee we were playing in Melbourne, Australia on our holidays. The object on this turn was to throw a “large straight” which is 5 numbers in sequence from 5 dice numbered 1 – 6. A player initially throws all 5 dice and then selects those dice they want to throw again for a further two more times. In this instance the player on their first throw, threw a 1,2,3,4 and 6. Question:- What is the respective probabilities of gaining a straight if they were to – a) put back say the 6 and try and throw a 5 on the two further throws or….. b) put back the 1 and 6 and try and throw a 1 and 5 or 5 and 6 on the two further throws bearing in mind that if one of the numbers was a 5 on the second throw they could hold that number and try for a 1 or 6 on the third throw. I would be most appreciative if someone could assist in showing me how to calculate the probabilities particularly in the second instance (b). Answered by Penny Nom.
	Four 25-sided dice		2005-11-24
		From dan: Simply put, I am curious to find the likelyhood of each possibility (4-100) if I were to roll 4 25-sided die. It seems to start off simply, as 1, 4, 10, 20...following the inside diagonal of Pascal's triangle. But as soon as i reach the point where the sum is greater than the number of sides, Pascal's no longer seems to work. I would be greatly appreciated if I could be informed of the proper formula to find this answer, or perhaps if my theory of doing it is wrong. Answered by Andrei Volodin and Shaun Fallat.
	I need to know the measurement of 75grams of spice into milliliters.		2005-09-16
		From Cyla: I don't know if this is possible but I need to know the measurement of 75grams of spice into milliliters. Even an approximation would be great. Answered by Penny Nom.
	Who is taller: John or Mary?		2005-09-14
		From Ulises: All the students in a school are arranged in a rectangular array. After that, the tallest student in each row was chosen, and then among these John Smith happened to be the shortest.Then, in each column, the shortest student was chosen, and Mary Brown was the tallest of these. Who is taller: John or Mary? Answered by Penny Nom and Claude Tardif.
	A melting ice sphere		2005-07-09
		From A student: A 2 meter diameter sphere of ice melts at 1.5 millimeters per minute. How many minutes will it take to fill up a hexagonal container measuring 1.5 meters on a side, and 0.8 meters deep? Answered by Penny Nom.
	Cost price		2005-05-25
		From Sunitha: What is (how to calculate) the cost price of a product which is marked-up by 15% and retailed at $25? Answered by Penny Nom.
	A matrix problem		2005-04-04
		From Alan: Let A = 1 -1 0 2 -1 2 a b c where a, b, c are constant real numbers. For what values of a, b, c is A invertible? [Hint: Your answer should be an equation in a, b, c which satisfied if and only if A is invertible.] Answered by Judi McDonald.
	Two matrix problems		2005-03-30
		From Sue: Question 1 Suppose all matrices in the equation below are square and invertible. Solve for x . BA-1XB-1 + 2BA + In = 0 (the symbol "0" here denotes the matrix of all 0's in it) Also, A-1 or B-1 is indicating inverse and "In" = for example, A-1 times A I hope you understand the above. I have to show all the steps. Question 2 Suppose we consider the set of all 2x2 matrices along with the operations of matrix addition and multiplication. Do they form a field? Why or why not? I think the answer is no because under multiplication it is not commutative and not all square matrices are invertible. I not positive so I'd like some help. Answered by Penny Nom.
	A matrix construction problem		2005-03-14
		From Marcelo: I want to know if is it possible to solve this problem: I have an empty NxM matrix and I know totals (sum) by rows and totals by column. Is there any algorithm to fill the matrix so that the summary of columns and rows gives the original values I have? Answered by Harley Weston.
	Strings of 4 digits from 1,2,...,7		2004-12-09
		From Tom: How many different combinations can be made of the numbers 1-7 in 4 string combinations in any order? EX:7-2-3-5, 3-5-1-7, etc... And if you were to include the same 2 numbers in every combination, how many would that make? EX: Using 1 & 2: 1-2-7-4, 5-1-4-2, 2-7-5-1, etc... Answered by Penny Nom.
	The price of a book		2004-09-18
		From Dorly: If the number of toonies required to buy a book is nine more than the number of five-dollar bills required to buy the same book, determine the cost of the book. Answered by Penny.
	A pyramid		2004-05-11
		From Quiana: I am a student and I have the following questions I need to answer for homework: How many sides, vertices, and edges does a pyramid have? Answered by Penny Nom.
	Three dice		2004-05-10
		From A student: If one has 3, 6 sided dice what is the probability of the numbers that are rolled to total 4 through 10 inclusively? Subsequent to this, what is the probability to do this consecutively...say 3 times? Answered by Peny Nom.
	Arrays		2004-02-19
		From A parent: please demonstrate mathematical arrays fro a 3rd grader Answered by Penny Nom.
	Matrices		2003-12-05
		From Julie: I am doing a project and need to find some mathematiciens who had an influence in matrices. I can't seem to find any when I search online. Could you please help me with this? Answered by Judi McDonald.
	The mean house price		2003-09-10
		From Carol: Question: I have to find the mean from the following example: Price Range £000 No of Houses 55 and under 60 3 60 and under 65 6 65 and under 70 13 70 and under 80 21 80 and under 100 15 100 and under 130 7 130 upwards 1 I know when calculating the mean you use the mid points of the classes, but how does this work for the 130 upwards class? Also, does this still work given the difference in the classes (ie. 1st class is 5, 5th class is 20, etc). Any help to get me started would be greatly appreciated. Answered by Penny Nom.
	An onsale DVD player		2003-07-09
		From Kim: I have a DVD player with a regular selling price of $175 and percentage of discount is 10 percent. How to solve for discount amount and sale price? Also, when you figure out the sale price how to figure out commission amount when percentage of commission is 5 percent? Answered by Penny Nom.
	8 faces, 12 vertices, and 18 edges		2003-04-22
		From Thomas: I would like to know the proper name for this geometrical solid. It has 8 faces, 12 vertices, and 18 edges? Answered by Penny Nom.
	A determinant		2003-02-13
		From A student: I have to find the determinant of the following matrix -2 3 1 2 4 -3 0 -2 5 1 4 2 1 -3 5 2 3 4 -1 2 6 0 3 2 -4 Answered by Penny Nom.
	A house's selling price		2002-11-05
		From Tanisha: a CERTAIN REAL-ESTATE AGENT RECEIVES $6 FOR EVERY $100 OF A HOUSE'S SELLING PRICE. HOW MUCH WAS A HOUSE SOLD FOR IF THE AGENT $10,725._ Answered by Penny Nom.
	A sale price		2002-10-15
		From Chester: A jacket is on sale for 32% off. Find the original if the sale price is $89.00 Answered by Penny Nom.
	Tree diagrams		2002-10-12
		From Denean: For lunch, students can choose juice or milk; hamburger or pizza; and a banana or apple. How many lunch combinations can the students make? In an experiment, Monty can use paper towels or cloth. He can choose red, green, or yellow food coloring. How many combinations are there? Answered by Penny Nom.
	A game of dice		2002-05-13
		From Mika: To play a game a dice is rolled to see who plays first. four players are going to play the game. what is the probability that at least two people roll the same number? ANSWER: P(least 2 people roll the same #)=number of player/total outcome P = 4!/4C2 = 24/4C2 = 4 the answer is 40% Answered by Andrei Volodin.
	A probability tree		2002-05-04
		From A student: Karl and Naomi roll three dice. Karl gives $10 to Naomi if the number 5 turns up once, twice or three times. Naomi gives Karl $3 in all other cases. A) construct the probability tree for this situation. B) Does Karl have an advantage in this game? Justify your answer. My problem is I am unfamiliar on how to draw this probability tree and seem to be having a lot of difficulties, when you have a chance please answer this math problem and get back to me with the results. Answered by Penny Nom.
	If you conect all the vertices of a regular n-gon...		2002-04-01
		From Murray: If you conect all the vertices of a regular n-gon with lines you will have (n-3)(n/2) lines inside the polygon. I want to find out how many sections these lines divide the polygon into and how many intersections they have with each other. Answered by Claude Tardif.
	Rolling 5 sevens before rolling a six or an eight		2002-01-20
		From Tony: When rolling 2 dice, what is the probability of rolling 5 sevens before rolling a six or an eight? Answered by Andrei Volodin and Penny Nom.
	A sale on eggs		2002-01-17
		From A student: A store had a sale on eggs, selling 13 eggs for the usual price of a dozen eggs. As a result, the price of the eggs was reduced by 4 cents a dozen. What is the original price for a dozen eggs? Answered by Penny Nom.
	Matrix		2001-11-21
		From Hoda: I have a question about matrix multiplication; well, actually, matrix division. I am assuming that matrices are divided the same as they are multiplied; that is, row by column. But what happens if you have to divide by zero? How does this affect the resulting matrix? Answered by Patrick Maidorn and Penny Nom.
	Free pamphlets		2001-10-24
		From Salman: a travel agency has limited number of six different free pamphlets about the beetle islands. the agent tells you to take any that you want, but not more than two of any kind. Assuming that you take at least one pamphlet, how many choices could you make Answered by Penny Nom.
	15 mice in 4 cages		2001-10-08
		From Chelsea: How can you fit 15 mice into 4 cages with an odd number of mice in each cage? Answered by Claude Tardif and Harley Weston.
	Rolling two dice		2001-09-10
		From Owen: This probability question has been bugging me for a while. Two ordinary dice are rolled. If it is known that one shows a 5, what is the probability that they total 8? I have two different but (seemingly) correct solutions. Answered by Andrei Volodin.
	Vertices		2001-08-08
		From Jordan: I am a fifth grader learning geometry with my mom's help, can you please explain what a vertices are?? Answered by Penny Nom.
	Conformable matrices		2001-08-05
		From Wayne: Can someone explain the concept of conformable matrices in a way that is easy to understand ? One definition says to multiply matrices rows and columns must conform, ie, 5 x 3 matrix times a 3 x 5 matrix. In the next example, however a 8 x 1 matrix and a 8 x 3 matrix are said to be conformable! Answered by Steve Kirkland.
	Matrix reconstruction		2001-07-19
		From Guy: Is there a way to get the sums of rows, columns and diagonals of an n x n matrix to reconstruct the original matrix? Answered by Walter Whiteley and Patrick Maidorn.
	Mutually exclusive		2001-06-05
		From Marje: What does the mathmatical term "mutually exclusive" mean. Pleas diagram if possible. Answered by Penny Nom.
	Probabilities and dice.		2001-05-04
		From Carmen: Hi! My name is Carmen! I am a member of a grade 5 class in Edmonton, AB. We were talking about probability in math, and I was wanted to know what the probability (odds) of rolling two sixes would be rolling two dice? If it is not to diffucult could you tell me what the probability (odds) of rolling any number with two dice were? Answered by Andrei Volodin and Penny Nom.
	Expected value		2001-04-24
		From Cindy: A game consists of rolling a single fair die. If a number great than 4 is rolled you win the number of dollars showing on the die. If any other number is rolled, you receive $1.00. What is the expected value of this game? Answered by Andrei Volodin.
	Oil revenue		2001-04-21
		From Brian: Suppose that t months from now an oil well will be producing crude oil at the rate of r(t), not a constant, barrels per month and that the price of crude oil will be p(t), not a constant, dollars per barrel. Assume that the oil is sold as soon as it is extracted from the ground. Find an expression for the total revenue from the oil well, R(t). A certain oil well that currently yields 400 barrels of crude oil a month will run dry in 2 years. The price of crude oil is currently $18 per barrel and is expected to rise at a constant rate of 3 cents per barrel per month. What will be the total revenue from this well? {Hint: Model the degraded production rate with the equation: r(t) = (A-Bt)e0.04t} Answered by Harley Weston.
	Matrices		2001-03-26
		From Peg: What are some applications of matrices, basic trigonometry, and linear systems in the real world? I'm writing and Algebra report about where these topics are used outside of the classroom. Answered by Judi McDonald and Walter Whiteley.
	Solving Equations		2001-02-23
		From Stephanie: Do you know who came up with solving equations? Do you have any web-sites that can give me good information on solving equations? Do you know any history on solving equations? Do you know what solving equations is used for? And finally............Sorry about all of the questions :) Has the form of solving equations changed from the time it came out to now? Answered by Juci McDonald.
	Conditional probabiity		2001-01-22
		From Wallace Yang: A pair of six-sided fair dice is thrown. Find the probability that the sum is 10 or greater if it is given that a 5 appears on at least one of the dice. Answered by Penny Nom and Claude Tardif.
	The city transit system		2001-01-07
		From Jacky: The city transit system carries an average of 9450 bus riders a day, for a fare of $1.75 each. The city wants to reduce car pollution by increasing ridership and to maximize the transit system's revenue at the same time. A survey indicates that the number of riders will increase by 150 for every $0.05 decrease in fare. Answered by Harley Weston.
	Three dice		2001-01-03
		From John Read: I have three dice (A, B, C.) Three sides of each dice are blank. Three sides of each dice have a number. When the dice are thrown, it must be possible to result in the numbers 1 to 49 in any combinations without doubling up on any figure. i.e. Different combinations resulting in the same end number. I managed to get from 1 to 47 before getting stuck. Answered by Claude Tardif.
	Euler's Formula		2000-11-11
		From Denise Roberts: I'm trying to design a unit (possibly involving a Webquest) on Polyhedra and I cannot find a formula I once used. The formula involved the number of vertices (V), edges (E), and faces (F) of the polyhedra. Answered by Walter Whiteley.
	Where will we use this in the real world?		2000-10-11
		From Jane Ann Musgrove: As a teacher of mathematics, I am always asked "Where will we use this in the real world?". I am seeking ideas/sites via the internet where students can find answers to this type of question. Can you help me? To be more specific, right now I am interested in finding careers where the employees would use the concepts of "Radicals", "Matrices", and "Logarithms". This information will be used by students to make presentations to the class on their findings from internet searches. Answered by Harley Weston.
	Review problems		2000-09-18
		From Dee: A card is selected from an ordinary deck of cards. What is the probability of. . . selecting 2 aces in a row? If you toss two dice, what would be your probability of the following? . . . Answered by Penny Nom.
	A matrix equation		2000-05-14
		From A student: Right now, we are dealing with matrices and we are supposed to solve the following problem on our graphing-calculators: 2a+3b-4c+d=20 a-2b+3c-5d=-14 3a+4b-2c+3d=19 5a-b+6c+4d=-5 Answered by Penny Nom.
	Matrices Information		2000-05-02
		From William Avery: I am an OAC student at Governor Simcoe Secondary School in St. Catharines Ontario. Today at school we were handed an independent study project by our Finite teacher. This assignment is based on Matrices, it involves performing some simple matrix calculations, but also involves a written section. This written section asks for the following: . . . Answered by Marley Weston.
	Taxis in Chicago		2000-03-27
		From A high school studenthigh school student: Suppose that taxis pick up and deliver passengers in Chicago, which is divided into three zones. Records kept by the drivers show that of the passengers picked up in Zone 1, 50% are taken to a destination in Zone 1, 40% to Zone 2, and 10% to Zone 3. OF the passengers picked up in Zone 2, 40% go to Zone 1, 30% to Zone 2, and 30% to Zone 3. Of the passengers picked up in Zone 3, 20% go to Zone 1, 60% to Zone 2 and 20% to Zone 3. Suppose that at the beginning of the day, 600 of the taxis are in Zone 1, 100 in Zone 2, and 300 in Zone 3. What is the distribution of taxis in the various zones after all have had two riders? Answered by Harley Weston.
	A Multiple Choice Test		1999-08-31
		From Cintra Ramnarine: I have ten questions. There are two multiple choice answers to each question. What are the chances of answering all questions correctly. Answered by Harley Weston.
	Matricies		1998-11-26
		From Stephanie Webster: If a matrix for a rectangle looks this way: AACC BDDB What does the matrix for a square look like? Answered by Penny Nom.
	Three dice		1998-11-17
		From Ryan Allinson: Rolling three regular dice how many different ways could a sum of 10 be rolled? Hope you can help. Can you please show me how this is done? Answered by Penny Nom.
	Snake Eyes		1998-07-20
		Would you please advise me what the probability is of rolling snake eyes on a pair of dice is? My recollection is 1 out of 6 multiplied by 1 out of 6 = 1 out of 36 is this correct? Answered by Jack LeSage and Penny Nom.
	Rolling a seven		1998-06-11
		From Bruce Thompson: What is the probablity of rolling two dice and it coming out as seven? a) 1/6 b) 1/36 please give me the correct awnser and explain please. Answered by Harley Weston.
	Mathematical Arrays		1998-05-01
		From Gene Lanctot: Could someone please explain what a mathematical or arithmetical array is? The array in question is used in grade three math in Ontario. I would also like to know what its purpose is. Answered by Harley Weston.
	Matrices		1998-03-10
		From Ksya: A and B are matrices. If A^n=B^n, can we say A=B or det(A)=det(B) or det(A)^n=det(B)^n ? Any conditions ??? If B^(-1) is the inverse of B, where B is a matrices. Can we say [(B^(-1))^n][B^n]=I, where I is identity matrices? Any conditions??? Answered by Doug Farenick.
	Un bénéfice de 5%		2008-03-11
		From mahiques: Un propriétaire decide de vendre deux parcelles de terrains pour un montant total de 141750 F. Il fait un bénéfice de 15% sur la première et une perte de 10% sur la deuxième. L'ensemble de la transaction lui a rapporté un bénéfice de 5%.combien a-t-il vendu chacune des parcelles ? Answered by Pierre-Louis Gagnon.
	exercices corrigés		2007-01-09
		From Zribi: si je peut avoir des exercice corrigé Answered by Claude Tardif.
	Matrice		2006-02-01
		From Kader: mon probleme est le suivant soit deux matrices carrees A et B d'ordre n qui sont anticommutatives AB= -BA , demontrer que au moins une des deux matrices n'est pas inversible si n est impair. je n'arrive pas a utiliser le fait que n soit impair, trouver le rapport entre n impair et inverse des matrices, je pars sur la base de DETAB=DETA*DETB Answered by Claude Tardif.
	probleme de matrice		2006-02-01
		From Un eleve: mon probleme est le suivant soit deux matrices carrees A et B d'ordre n qui sont anticommutatives AB= -BA , demontrer que au moins une des deux matrices n'est pas inversible si n est impair. Answered by Claude Tardif.
	La bissectrice de l'angle ABC		2000-02-16
		From Laurent Gauthier: Est-ce redondant d'ecrire "angle ABC" avec un accent circonflexe sur le B? Peut-on ou devrait-on se contenter d'ecrire soit ABC (avec l'accent), soit l'angle ABC (sans accent) ? Le contexte dans lequel ceci apparait est le syntagme "la bissectrice de l'angle ABC", c'est-a-dire que je me demande si on devrait ecrire "la bissectrice ABC " (avec accent), "la bissectrice de l'angle ABC" (sans accent) ou "la bissectrice de l'angle ABC" (avec accent). Answered by Claude Tardif.

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