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Given: (X + Y)/2 = 1 or X + Y = 2 and X - Y = 1 Adding X + Y = 2 and X - Y = 1 yields 2X = 3 or X = 1.5 making Y = .5 Therefore, XY = .75

Days Between Dates How can you calculate the total number of days between two dates. Calculating the number of days between two dates can be done in a relatively simple 3 step process. Lets examine a specific problem such as find the total number of days between March 16, 2001...

School Trip

I somehow feel that you already have the formulas for arithmetic series. If not, Denis has given you the site that will surely help you. Given a series with "n" terms, with difference between terms of "d", first term of "a" and last term "l", and a sum of "n" terms equal to S, you have a...

Triangles in Triangle If I understand you correctly: or r How many triangles of all sizes can be found in a triangle 'n' rows high ? Or A single equilateral triangle contains one triangle, n = 1. One triangle sitting atop three others, n = 2 rows high, contains 5...

Two city busses leave the terminal at the same time. The first bus drives north at 40 mph, and the second bus drives east at 30 mph. How fast is the distance between the busses changing after one half hour? A) 35 mph B) 50 mph C) 65 mph D) 22 mph Distance between busses after one hour is...

Sqaure is 3 by 3 Top row: Left to right 5 and 6 in first 2 squares, third is blank Second row: left to right first square blank, second is 7 and third blank Third row: left to right, all squares blank any help would me so much apprciated. thank you As already pointed out to you, the 3 cell...

Keeping it to x < y < z < 100, there are 736 cases; First 2: 1,4,8 : 9 and 1,6,18 : 19 Last 2: 80,90,96 : 154 and 86,91,98 I knew you could do it Denis. Thanks

Fantastic Denis. I knew you would come through.

If I understand you correctly, you are seeking solutions to x^2 + y^2 + z^2 = d^2. How many rectangular solids can you define where all the edges and the internal diagonal are all integers? Here, we have to satisfy the expression X^2 + Y^2 + Z^2 = d^2 where d = the internal diagonal. These...

Problems of this type are solvable by either of the following methods. If it takes one person 5 hours to paint a room and another person 3 hours, how long will it take to paint the room working together? Method 1: 1--A can paint a room in 5 hours. 2--B can paint a room...

Not having seen an answer to your problem or whether you have solved it on your own, I offer the following as one solution. A second solution is available if you so desire. The point you seek is the intersection of the three perpendicular bisectors of the sides., or the center of the...

I was well aware of this and cannot figure out, for the life of me, why I typed in "the three altitudes". Of course, the three perpendicular bisectors of the three sides meet at the center of the circumcircle, the .........................B ........................* .....................*...

A triangle has sides 104, 112 and 120 cms in length. Find a point that lies equidistant from each corner ? I can find the area, not sure how to proceed. Thanks in advance. B * * * E * * *...

This similar problem should enable you to solve your version. Sarah goes to the bank to cash a check for D dollars and C cents. The bank teller mistakenly gives her C dollars and D cents (so C and D must both be whole numbers between 0 and 99). Sarah doesn't discover the mistake until after...

Thanks ever so much for identifying my typos. 0 = 99 - 99 1 = (9 - 9) + 9/9 2 = 9/9 + 9/9 3 = (9 + 9 + 9)/9 4 = 9/.9 - [(sqrt(9) + sqrt(9)] 5 = sqrt(9) + sqrt(9) - 9/9 6 = (9 - 9) + 9 - sqrt(9) = sqrt(9 + 9 + 9 + 9) 7 = sqrt(9) + sqrt(9) + 9/9 8 = 99/9 - sqrt(9) = 9 + 9 - 9/.9 9 = (9 - 9) +...

0 = 99 - 99 1 = (9 - 9) + 9/9 2 = 9/9 + 9/9 3 = (9 + 9 + 9)/3 4 = 9/.9 - [(sqrt(9) + sqrt(9)] 5 = sqrt(9) + sqrt(9) - 9/9 6 = (9 - 9) + 9 - sqrt(9) = sqrt(9 + 9 + 9 + 9) 7 = sqrt(9) + sqrt(9) + 9/9 8 = 99/9 - sqrt(9) = 9 + 9 - 9/.9 9 = (9 - 9) + sqrt(9x9) = 9sqrt(9) - (9 + 9)...

Miranda throws a set of car keys to her brother who is standing a third story high with his hands 38 feet above thr ground. If Miranda throws the keys with an initial upword velocity of h=-16t^2+40t+5 gives the height h of the keys after t seconds how long does it take the keys to reach their...