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# Recent problems solved by 'Alan3354'

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 Radicals/466222: How would you simplify 16 1/2 in a paragraph1 solutions Answer 319550 by Alan3354(30993)   on 2011-06-30 21:57:34 (Show Source): You can put this solution on YOUR website!= 16.5
 Exponents-negative-and-fractional/466192: 3x^-2 rewrite with positive exponents, then simplify as much as possible1 solutions Answer 319549 by Alan3354(30993)   on 2011-06-30 21:54:37 (Show Source):
 Linear-equations/466187: y=x-7 how do I solve and find the answer?1 solutions Answer 319548 by Alan3354(30993)   on 2011-06-30 21:53:52 (Show Source): You can put this solution on YOUR website!Solve for what? What is the question?
 Graphs/466197: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. x + y = 10 x – y = 2 1 solutions Answer 319547 by Alan3354(30993)   on 2011-06-30 21:51:47 (Show Source): You can put this solution on YOUR website! Graphs/466197 (2011-06-30 19:06:00): Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. x + y = 10 x – y = 2 ----------- Add them
 test/466190: Determine whether the point (0, 8) is a solution of the system -3x + 9y = 72 9x + 3y = 24 by substituting the point into each equation. 1 solutions Answer 319546 by Alan3354(30993)   on 2011-06-30 21:51:01 (Show Source): You can put this solution on YOUR website!Well, do that.
 real-numbers/466199: looking for the explanation and answers to a) find two consecutive off intergers whose product is 783 b) find two consecutive even intergers that the sum of their squares is 3401 solutions Answer 319545 by Alan3354(30993)   on 2011-06-30 21:50:12 (Show Source): You can put this solution on YOUR website!a) find two consecutive off intergers whose product is 783 sqrt(783) = almost 28, the middle --> 27 & 29 ---------------- b) find two consecutive even intergers that the sum of their squares is 340 340/2 = 170 sqrt(170) = ~ 13 the middle --> 12 & 14 ------------ PS it's integer, not interger.
 Numbers_Word_Problems/466123: I am taking an algebra word problems test next week for a job, they gave me a sample sheet for practivce purposes. After viewing these samples I am lost! I am 50 yrs old and haven't done word problems since college. can you recommend a book that i can perhaps get at the library where i can study this next week when I go for the test? Thanks1 solutions Answer 319474 by Alan3354(30993)   on 2011-06-30 15:50:19 (Show Source): You can put this solution on YOUR website!check on google for the subject matter. Post some of the problems you have questions about.
 Quadratic_Equations/466075: X= 5 X=2 and X=1 X= -41 solutions Answer 319472 by Alan3354(30993)   on 2011-06-30 15:48:27 (Show Source): You can put this solution on YOUR website!Do you have a question?
 test/466130: Solve: 4-5y<-6y1 solutions Answer 319471 by Alan3354(30993)   on 2011-06-30 15:45:06 (Show Source): You can put this solution on YOUR website!Solve: 4-5y<-6y Add 6y 4 + y < 0 Subtract 4 y < -4
 Exponents/466107: Please help me with this problem, thanks(: Simplify: _15_+_30√14_ 5√2 or in other words: 15 plus 30 Onto NOT Over the SQUARE ROOT of 14 OVER 5 onto the SQUARE ROOT of 21 solutions Answer 319467 by Alan3354(30993)   on 2011-06-30 15:31:09 (Show Source): You can put this solution on YOUR website!Not familiar with "onto", do you mean multiplied? like that? --------------- Cancel the 5 = Multiply by sqrt(2) = = =
 Graphs/466122: Find the equation of a circle satisfying the conditions given. diameter has endpoints (2,3) and (8,3)1 solutions Answer 319466 by Alan3354(30993)   on 2011-06-30 15:24:43 (Show Source): You can put this solution on YOUR website!This diameter is parallel to the x-axis. The center is the midpoint at (5,3) and the radius is the distance from the midpoint to the endpoints = 3 --------------- -->
 test/466102: The square root of the sum of two consecutive integers is seven. Find the larger integer.1 solutions Answer 319456 by Alan3354(30993)   on 2011-06-30 14:51:52 (Show Source): You can put this solution on YOUR website!The sum is 49. 49/2 = 24.5, the middle. --> 24 & 25
 Travel_Word_Problems/465940: how can i calculate average speed when a plane is flying from one city to another and is 550 miles per hour and is 430 miles per hour on the return flight.1 solutions Answer 319441 by Alan3354(30993)   on 2011-06-30 14:06:00 (Show Source): You can put this solution on YOUR website!how can i calculate average speed when a plane is flying from one city to another and is 550 miles per hour and is 430 miles per hour on the return flight. --------------- Average speed for a round trip is similar to parallel resistors, but times 2. Avg speed = 2*550*430/(550 + 430) = 473000/980 =~ 482.65 mph ---------- It's always less than the average of the 2 speeds, because more time is spent moving at the lower speed (unless they're the same speed).
 Linear-systems/466022: 15x+11y= 132 2x+3y=591 solutions Answer 319439 by Alan3354(30993)   on 2011-06-30 14:00:56 (Show Source): You can put this solution on YOUR website!15x+11y= 132 2x+3y=59 -------------- |15 11 -132| |+2 +3 -59| ----------- Det = 15*3 - 2*11 = 23 ------ Dx = 11*(-59) - 3*(-132) = -253 x = -253/23 = -11 ------ -Dy = 15*(-59) - 2*(-132) = -621 y = 621/23 = 27
 Linear_Equations_And_Systems_Word_Problems/466041: At 9:00 a.m., a truck leaves the truck yard and travels west at a rate of 45 miles per hour. At 11:00 a.m., a second truck leaves along the same route, traveling at 60 miles per hour. When will the second truck catch up to the first.1 solutions Answer 319408 by Alan3354(30993)   on 2011-06-30 11:55:24 (Show Source): You can put this solution on YOUR website!In 2 hours, the 1st truck goes 90 miles (45 mph * 2 hr) The 2nd truck gains on the 1st at 15 mph (60 - 45) 90/15 = 6 hours to overtake 1100 + 6hr = 1700 hours
 Evaluation_Word_Problems/465967: I sm 10% older than my wife. My wife is x% younger than I am. find x.1 solutions Answer 319407 by Alan3354(30993)   on 2011-06-30 11:53:41 (Show Source): You can put this solution on YOUR website!You = her*1.1 her = you/1.1 = you*0.9090... her = you - you*(1 - 0.9090...) = you - you*0.0909... --> 9.09% younger x = 9.09
 Surface-area/466035: Find the circumference of a circle with a radius of 21.1 solutions Answer 319403 by Alan3354(30993)   on 2011-06-30 11:49:59 (Show Source): You can put this solution on YOUR website!C = 2*pi*r = 42*pi C =~ 131.95 units
 Angles/466036: Find the measure of an angle who supplement measures 39 more than twice its complement. Like to know if I am setting up the equation properly? Angle = x Supplement = 180-x Complement = 90-x 180-x = 2(90-x)+39 180 = 219 x= 39 Can I also say the supplement is 141 degrees and the complement is 56 degrees even though the problem is not requesting to find them? 1 solutions Answer 319402 by Alan3354(30993)   on 2011-06-30 11:48:19 (Show Source): You can put this solution on YOUR website!Find the measure of an angle who supplement measures 39 more than twice its complement. ------------- Angle = x Supplement = 180-x Complement = 90-x 180-x = 2(90-x)+39 ---------- 180 does not equal 219. I think you're subtracting there. 180-x = 180 - 2x + 39 -x = -2x + 39 x = 39 degs ---------------- Supp = 141, comp = 51
 Money_Word_Problems/466015: At what interest rate (to the nearest hundredth of a percent) compounded annually will money in savings double in five years1 solutions Answer 319382 by Alan3354(30993)   on 2011-06-30 10:27:25 (Show Source): You can put this solution on YOUR website!At what interest rate (to the nearest hundredth of a percent) compounded annually will money in savings double in five years ----------- r = interest rate r =~ 0.1486 = 14.86% per year
 Travel_Word_Problems/465763: how many minutes does a car need to travel 50km going at 10 km/h?1 solutions Answer 319200 by Alan3354(30993)   on 2011-06-29 18:39:50 (Show Source): You can put this solution on YOUR website!50 km/10 km/hr = 5 hours 5 hr * 60 min/hr = 300 minutes
 Graphs/465803: multiply 5/6 * (9/5) omg!! i hate fractions! any help is appreciated!1 solutions Answer 319198 by Alan3354(30993)   on 2011-06-29 18:38:19 (Show Source): You can put this solution on YOUR website!multiply 5/6 * (9/5) = 5*9/6*5 = 45/30 = 3/2 What's the big deal? Hating fractions makes no more sense than emotional involvement with inanimate objects.
 Volume/465705: Each cubic centimeter of a glass plate weighs 0.3 ounce. If the glass plate measures 40 centimeters long by 35 centimeters wide by 6 centimeters thick. How much does the plate weigh? (I try converting everything to ounces and multiplying everything but my result was incorrect compare to the solution book.) Thank you!1 solutions Answer 319175 by Alan3354(30993)   on 2011-06-29 16:38:01 (Show Source): You can put this solution on YOUR website!Each cubic centimeter of a glass plate weighs 0.3 ounce. If the glass plate measures 40 centimeters long by 35 centimeters wide by 6 centimeters thick. How much does the plate weigh? --------------------------- The volume = 40 cm * 35 cm * 6 cm = 8400 cc Each cc weighs 0.3 ounce 8400 cc * 0.3 ounce/cc = 2520 ounces
 Polygons/465755: im tryin to build a 8 sided gazebo. it is 10ft wide how do i find the lenght of each outside board, 8 total. all sides should be equal. 1 solutions Answer 319172 by Alan3354(30993)   on 2011-06-29 16:13:37 (Show Source): You can put this solution on YOUR website!If you mean 10 ft diameter, from flat to flat, then each of the 8 sides are 4.142 ft long. ---------------- It's made of 8 triangles, so the central angles are 45 degs. 5 ft is the altitude. s = 1/2 the length of the sides. tan(45/2) = s/5 s = 5*tan(22.5) 2s = 10*tan(22.5) =~ 4.142 ft
 Volume/465718: A Cylinder contains ice cream. Its radius is 5 inches and it stands 12 inches tall. The Cool Man Ice Cream Shop sells ice-cream cones. If a cone is 5 inches tall and has a diameter of 3 inches, to the nearest whole number, how many ice-cream cones can be scooped out of the cylinder? Let pie= 3.14 I TRY: V-cylinder=(3.14)(5)^2(12)=942 Diameter= 1/2(3)=1.5 V-cone=(1/3)(3.14)(1.5)^2(5)=11.775 Diameter= 1/2(3)=1.5 942/11.775=80 <--My final answer but it was INCORRECT!(Not sure where I gone wrong)1 solutions Answer 319119 by Alan3354(30993)   on 2011-06-29 14:53:34 (Show Source): You can put this solution on YOUR website!A Cylinder contains ice cream. Its radius is 5 inches and it stands 12 inches tall. The Cool Man Ice Cream Shop sells ice-cream cones. If a cone is 5 inches tall and has a diameter of 3 inches, to the nearest whole number, how many ice-cream cones can be scooped out of the cylinder? Let pie= 3.14 ------------- I'll use the Greek letter pi, not the dessert, pie. ------------------ Vol of cyl = cubic inches ------------------ Vol of cone = cubic inches The ice cream isn't flush with the top of the cone. -------------------- Vol of hemisphere on top of the cone = 2*pi*r^3/3 = 2*pi*2.5^3/3 = 10.42pi Total per cone = 11.775 + 32.708 = 44.48 cubic inches 942/44.48 = 21 cones ------------------------- I TRY: V-cylinder=(3.14)(5)^2(12)=942 Diameter= 1/2(3)=1.5 V-cone=(1/3)(3.14)(1.5)^2(5)=11.775 Diameter= 1/2(3)=1.5 942/11.775=80 <--My final answer but it was INCORRECT!(Not sure where I gone wrong)
 Equations/465719: SDFDFADLJkvadkfhkh1 solutions Answer 319116 by Alan3354(30993)   on 2011-06-29 14:46:49 (Show Source): You can put this solution on YOUR website!I'm gonna guess "cattle."
 Travel_Word_Problems/465700: George drove to town at 50 mph and rove back home at 40 mph. What is the distance to town if the whole trip took 9 hours?1 solutions Answer 319113 by Alan3354(30993)   on 2011-06-29 14:06:29 (Show Source): You can put this solution on YOUR website!Another approach: The average speed for a round trip is similar to parallel resistors, but times 2. Avg speed = 2*40*50/(40+50) = 4000/90 mph r = 400/9 mph t = 9 hours d = (400/9)*9 = 400 miles round trip --> 200 miles one way
 Functions/465702: i would like help with this problem..please be detailed http://i52.tinypic.com/25ouemu.jpg1 solutions Answer 319112 by Alan3354(30993)   on 2011-06-29 13:58:06 (Show Source): You can put this solution on YOUR website!No variable is specified, so x is as good as any. ------------ Add --> x+8 Times 2 --> 2(x+8)= 2x+16 g(x) = 2x + 16 -------------- Replace the x with whatever is spec'ed g(2) = 2*2 + 16 = 20 g(9) = 2*9 + 16 = 34 g(-7) = 2*(-7) + 16 = 2 g(3/2) = 2*3/2 + 16 = 19 g(t) = 2t + 16
 Complex_Numbers/465660: Simplify by removing factors of 1. 21w^2-189 ________ 49w^2-4411 solutions Answer 319091 by Alan3354(30993)   on 2011-06-29 12:05:17 (Show Source): You can put this solution on YOUR website! = = 21/49 = 3/7 ---------- Note that w cannot be 3 or -3.
 Travel_Word_Problems/465661: What distance would mario travel if he drove 4 3/4 hours at 70 miles per hour?Assume that a steady speed was maintained.1 solutions Answer 319090 by Alan3354(30993)   on 2011-06-29 12:02:09 (Show Source): You can put this solution on YOUR website!d = r*t d = 4.75*70 miles
 Linear-equations/465664: x-3 over 2 = 1half1 solutions Answer 319089 by Alan3354(30993)   on 2011-06-29 12:01:21 (Show Source): You can put this solution on YOUR website!If you mean (x-3)/2 = 1/2 x-3 = 1 x = 4
 Numbers_Word_Problems/465662: The sum of two consecutive positive odd integers is between 7 and 17. Which pair of integers does not solve this problem? 1 solutions Answer 319088 by Alan3354(30993)   on 2011-06-29 11:59:43 (Show Source): You can put this solution on YOUR website!An infinite number do not. eg, 71 & 73