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# Recent problems solved by 'Alan3354'

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 Linear-equations/591776: find the general form of the equation for the line with the given properties. Slope= -4/9; containnig point (0.5)1 solutions Answer 375749 by Alan3354(30959)   on 2012-03-26 16:19:27 (Show Source): You can put this solution on YOUR website!find the general form of the equation for the line with the given properties. Slope= -4/9; containnig point (0.5) ---------- If you mean (0,5) --> y = (-4/9)x + 5 4x + 9y = 45 Is one of those the "general form?"
 Mixture_Word_Problems/591781: how much would 200 pounds of flour cost?1 solutions Answer 375748 by Alan3354(30959)   on 2012-03-26 16:17:21 (Show Source): You can put this solution on YOUR website!how much would 200 pounds of flour cost? -------- 2 times the cost of 100 pounds, probably. Sometimes the price changes with quantity.
 Graphs/591791: can you help me solve a problem? 3x squared + x - 21 solutions Answer 375747 by Alan3354(30959)   on 2012-03-26 16:14:43 (Show Source): You can put this solution on YOUR website!can you help me solve a problem? 3x squared + x - 2 -------------- What is the problem? is a trinomial, not a problem. You have to say what you want to do.
�t�e�s�t/591796: Solve the equation. (Do not use mixed numbers in your answer.)
ln(5x-6)+ln(x)= ln(e)
1 solutions

Answer 375732 by Alan3354(30959)   on 2012-03-26 15:08:08 (Show Source):
You can put this solution on YOUR website!
ln(5x-6)+ln(x)= ln(e)
-------------
ln(x*(5x-6))= ln(e)
x*(5x-6) = e

 Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=46.8731273138362 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 6.42319760289397, -0.423197602893974. Here's your graph:

 Matrices-and-determiminant/591709: find x,y,z 2w-x+3y+z=0 3w-2x+4y-z=0 5w-2x-2y-z=0 2w+3x-7y-5z=01 solutions Answer 375708 by Alan3354(30959)   on 2012-03-26 11:51:20 (Show Source): You can put this solution on YOUR website!x = y = z = 0 Also, w = 0
 Triangles/591712: what is the circumference and area of a circle that has a radius of 6 cm 1 solutions Answer 375707 by Alan3354(30959)   on 2012-03-26 11:49:45 (Show Source): You can put this solution on YOUR website!what is the circumference and area of a circle that has a radius of 6 cm ---------
 Permutations/591710: A student's PID is a sequence of six digits. How many different PID numbers are possible? The answer is 1,000,000 but how do I get the answer? 1 solutions Answer 375706 by Alan3354(30959)   on 2012-03-26 11:47:02 (Show Source): You can put this solution on YOUR website!A student's PID is a sequence of six digits. How many different PID numbers are possible? The answer is 1,000,000 but how do I get the answer? -------- Each digit has 10 possibilities 10*10*10*10*10*10 = 1000000
 Matrices-and-determiminant/591711: 2w-3x+4y+z=7 w-x+3y-5z=10 3w+x-2y-2z=6 w+2x-y-3z=51 solutions Answer 375705 by Alan3354(30959)   on 2012-03-26 11:45:45 (Show Source): You can put this solution on YOUR website!I would use determinants. ---------- Det = -95 W = 2.2 X = 1 Y = 1.6 Z = -0.8
 Sequences-and-series/591705: The sum of three consecutive odd integers is 33 What is the product of the least and greastest intenger ? 1 solutions Answer 375704 by Alan3354(30959)   on 2012-03-26 11:23:39 (Show Source): You can put this solution on YOUR website!The sum of three consecutive odd integers is 33 What is the product of the least and greastest intenger ? ------------ 33/3 = 11, the middle number.
 Linear-equations/591637: Find the equation of the line that passes throught the points(-2,1)&(4,-8) Please I need help with these. Thank you1 solutions Answer 375698 by Alan3354(30959)   on 2012-03-26 10:30:28 (Show Source): You can put this solution on YOUR website!Find the equation of the line that passes throught the points(-2,1)&(4,-8) ------------ Find the slope, m m = diffy/diffx = (1 - (-8))/(-2 - 4) = 9/-6 m = -3/2 ---------- Use y = mx + b and either point to find b, the y-intercept -8 = (-3/2)*4 + b b = -8 + 6 b = -2 ------ The eqn is y = mx + b y = (-3/2)x - 2 or, 3x + 2y = -4 ------------------ not that bad?
 Probability-and-statistics/591681: How many different ways can 6 people stand in line at a cash register?1 solutions Answer 375697 by Alan3354(30959)   on 2012-03-26 10:25:21 (Show Source): You can put this solution on YOUR website!How many different ways can 6 people stand in line at a cash register? ------------ The 1st in line is 1 of 6, the 2nd 1 of 5, etc. --> 6*5*4*3*2 = 720 = 6! (6 factorial)
 Graphs/591672: Solve each system of equations. If no solution explain why! Substitution method x-y=3 2x-3y=-1 ***************** Addition Method 3x+2y=1 5x+3y=3 ***************** Any method 1/4a - 3/4b = -1 1/3a + b = 5/3 ***************** Any method 3x+2y=0 2x-y+3z=8 5x+3y+z=4 ***************** Solve systems of linear inequalities by graphing 3x+y>8 x-2y>5 ****************** any method 5x-3y=3 7x+y=25 1 solutions Answer 375696 by Alan3354(30959)   on 2012-03-26 10:06:03 (Show Source): You can put this solution on YOUR website!Solve each system of equations. If no solution explain why! Substitution method x-y=3 2x-3y=-1 ------------ x-y=3 --> x = y+3 Sub for x in the 2nd eqn ***************** Addition Method 3x+2y=1 5x+3y=3 Multiply eqn 1 by 3, eqn 2 by 2, then subtract -------------- ***************** Any method 1/4a - 3/4b = -1 1/3a + b = 5/3 Multiply eqn 1 by 4 and eqn 2 by 3, then add ***************** Any method 3x+2y=0 2x-y+3z=8 5x+3y+z=4 I would use determinants. To check you answers: (-2,3,5) ***************** Solve systems of linear inequalities by graphing 3x+y>8 x-2y>5 Graph them. ****************** any method 5x-3y=3 7x+y=25 I would use elimination, as above.
 Quadratic_Equations/591666: graph y=x^21 solutions Answer 375695 by Alan3354(30959)   on 2012-03-26 10:01:13 (Show Source): You can put this solution on YOUR website!graph y=x^2 ------------- Pick values for x and find y. Plot the points, draw a curve thru them. Do as many points as you want or need. --------- You can use Excel to make a table. Notice that +x and -x give the same y, so you get 2 points for the price of 1. ============ dl the FREE graph software at http://www.padowan.dk --- Use Insert, enter x^2
 Probability-and-statistics/591678: How many 3-digit codes using the digits 0 through 9 are possible if repetitions are allowed?1 solutions Answer 375694 by Alan3354(30959)   on 2012-03-26 09:55:32 (Show Source): You can put this solution on YOUR website!How many 3-digit codes using the digits 0 through 9 are possible if repetitions are allowed? ------------- 10*10*10 = 1000
 Polygons/591647: what is the complete angle degree for a nongon?1 solutions Answer 375693 by Alan3354(30959)   on 2012-03-26 09:46:27 (Show Source): You can put this solution on YOUR website!what is the complete angle degree for a nongon? --------------- I don't know what you mean by "complete angle degree", or a nongon. Is a nongon no sides?
 Linear-systems/591658: Find the determinant of this 3x3 matrix using expansion by minors about the second row 0 -4 6 A= 5 0 0 9 -2 71 solutions Answer 375692 by Alan3354(30959)   on 2012-03-26 09:42:10 (Show Source): You can put this solution on YOUR website!Find the determinant of this 3x3 matrix using expansion by minors about the second row 0 -4 6 A= 5 0 0 9 -2 7 ============ = -5*(-4*7 - (-2*6)) = -5*(-28 + 12) = 80 (the other minors are zeroes)
 Pythagorean-theorem/591657: I have a 30-60-90 triangle with a hypotenuse of 16 and a short side of 8. How can I use the Pythagorean Theorem to get the third side?1 solutions Answer 375691 by Alan3354(30959)   on 2012-03-26 09:29:02 (Show Source): You can put this solution on YOUR website!I have a 30-60-90 triangle with a hypotenuse of 16 and a short side of 8. How can I use the Pythagorean Theorem to get the third side? --------------
 Radicals/591664: (√3-x) - x = 4 + x That is the square root od 3 minus x, then subrtact x from that equals four plus x.1 solutions Answer 375690 by Alan3354(30959)   on 2012-03-26 09:27:55 (Show Source): You can put this solution on YOUR website!Do it like this one ============================================== How do you solve: (√x^2+7) - x = 7 -------------- Isolate the radical, then square both sides -------- etc
 Radicals/591662: (√19-y)- y = 11 Tha is the sqaure root of 19 minus y, then subtract y, equals 11.1 solutions Answer 375689 by Alan3354(30959)   on 2012-03-26 09:27:10 (Show Source): You can put this solution on YOUR website!Do it like this one. =============================== How do you solve: (√x^2+7) - x = 7 -------------- Isolate the radical, then square both sides -------- etc
 Radicals/591660: How do you solve: (√x^2+7) - x = 7 That is the square root of x squared plus seven, then subtract x, equals seven.1 solutions Answer 375688 by Alan3354(30959)   on 2012-03-26 09:23:39 (Show Source): You can put this solution on YOUR website!How do you solve: (√x^2+7) - x = 7 -------------- Isolate the radical, then square both sides -------- etc
 Geometry_proofs/591488: How do you get the coordinates for the midpoint of a segment?1 solutions Answer 375622 by Alan3354(30959)   on 2012-03-25 20:30:22 (Show Source): You can put this solution on YOUR website!How do you get the coordinates for the midpoint of a segment? ------- It's the averages of the x & y endpoint values.
 Geometry_proofs/591490: A system may have how many solutions?1 solutions Answer 375621 by Alan3354(30959)   on 2012-03-25 20:29:35 (Show Source): You can put this solution on YOUR website!A system may have how many solutions? ----------- There's no limit.
 Polynomials-and-rational-expressions/591367: How do I factor 3b^2-8b+51 solutions Answer 375591 by Alan3354(30959)   on 2012-03-25 16:15:43 (Show Source): You can put this solution on YOUR website!How do I factor 3b^2-8b+5 -------------- Hint: 3 = 1*3, only one possiblitly. 5 = 1*5, only one possibility. ------ You factor it by finding the factors.
 logarithm/591368: Can you help me solve this equation 1 solutions Answer 375589 by Alan3354(30959)   on 2012-03-25 16:14:24 (Show Source): You can put this solution on YOUR website!Can you help me solve this equation ---------- Too many equal signs.
 Equations/591316: what is the answer am stuck in this problem: 24a-22=-4(1-6a)1 solutions Answer 375564 by Alan3354(30959)   on 2012-03-25 14:17:45 (Show Source): You can put this solution on YOUR website!24a-22=-4(1-6a) 24a-22= 4 +24a -22 = 4 No solution
 Pythagorean-theorem/591289: what is the area of a triangle with a base of 20.3 m and a height of 5.6 m? 1 solutions Answer 375555 by Alan3354(30959)   on 2012-03-25 13:20:12 (Show Source): You can put this solution on YOUR website!what is the area of a triangle with a base of 20.3 m and a height of 5.6 m? --------- Area = b*h/2
 Travel_Word_Problems/591196: how long will it take you to travel 350 miles at 70 mph?1 solutions Answer 375528 by Alan3354(30959)   on 2012-03-25 07:48:54 (Show Source): You can put this solution on YOUR website!how long will it take you to travel 350 miles at 70 mph? ----------- d = r*t t = d/r
 Rectangles/591104: I am helping my 6th grader and I am stuck. The perimeter of a figure is 42.5, how do I find the area. The figure in question is an 8 sided polygon. 7 of the eight sides are the same size, the eighth runs along the top. Can you show me how to solve this please.1 solutions Answer 375497 by Alan3354(30959)   on 2012-03-24 21:05:32 (Show Source): You can put this solution on YOUR website!I am helping my 6th grader and I am stuck. The perimeter of a figure is 42.5, how do I find the area. The figure in question is an 8 sided polygon. 7 of the eight sides are the same size, the eighth runs along the top. Can you show me how to solve this please. ---------------------- Not sure what you mean by "runs along the top." Can you scan and send a sketch? Or a photo with a digital camera?
 Length-and-distance/591105: I need to convert 648 square ft into two decimal places. How do I do this?1 solutions Answer 375494 by Alan3354(30959)   on 2012-03-24 20:46:59 (Show Source): You can put this solution on YOUR website!I need to convert 648 square ft into two decimal places. How do I do this? ------------- Not sure what you mean. 648.00 maybe? Or
 Linear-equations/591122: I need help breaking down and finding the equeation for x-intercept -3, y-intercept 51 solutions Answer 375493 by Alan3354(30959)   on 2012-03-24 20:45:34 (Show Source): You can put this solution on YOUR website!I need help breaking down and finding the equeation for x-intercept -3, y-intercept 5 ----------------- "breaking down" is not a math operation I'm familiar with. -------------- you have 2 points, (-3,0) and (0,5) Slope = diffy/diffx = 5/3 = m --> y = (5/3)x + 5 --------------------- That's not "the" equation, it's an equation that fits. 5x - 3y = -15 is another.
 Geometry_Word_Problems/591097: Find the volume of this tube. You can think of it as a hollow cylinder. The tube consists of a smaller tube inside of a larger tube. The smaller tube has a radius of 5, and the larger tube has an overall radius of 10. The height for them both is 15. Please include the answer followed by pi. To Alan3354: It didn't work out because none of the answers I was getting were anything close to a, b, c, or d.1 solutions Answer 375491 by Alan3354(30959)   on 2012-03-24 20:01:58 (Show Source): You can put this solution on YOUR website!Find the volume of this tube. You can think of it as a hollow cylinder. The tube consists of a smaller tube inside of a larger tube. The smaller tube has a radius of 5, and the larger tube has an overall radius of 10. the height for them both is 15. a.1125 π in.3 b.375 π in.3 c.1500 π in.3 d.1875 π in.3 ------------------- cubic inches Vol = pi*15*75 = 1125*pi cubic inches. -------------- That's a