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Alan3354 answered: 30973 problems
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Numeric_Fractions/573252: how do I find 7/8 minus t = 3/4 1 solutions Answer 368723 by Alan3354(30993)   on 2012-02-15 16:18:43 (Show Source): You can put this solution on YOUR website! how do I find 7/8 minus t = 3/4 -------- Hint: 7/8 - t = 6/8

Travel_Word_Problems/573262: What is the speed of a boat that travels 20 miles in 45 minutes? Please answer in miles per hour. 1 solutions Answer 368722 by Alan3354(30993)   on 2012-02-15 16:16:06 (Show Source): You can put this solution on YOUR website! What is the speed of a boat that travels 20 miles in 45 minutes? Please answer in miles per hour. ------------- d = r*t r = d/t = 20/45 mi/min 20/45 mi/min * 60 min/hr = 1200/45 mi/hr = 26.667 mi/hr

Percentage-and-ratio-word-problems/573261: A softball team won 95% of 120 games played. How many games did they lose? 1 solutions Answer 368721 by Alan3354(30993)   on 2012-02-15 16:14:30 (Show Source): You can put this solution on YOUR website! A softball team won 95% of 120 games played. How many games did they lose? ----------- They lost 5%. 120*0.05 = 6 games

Mixture_Word_Problems/573240: what is the density in g/cm cube of a block of wood with a mass of 849g and a volume of 1022 cm cube 1 solutions Answer 368719 by Alan3354(30993)   on 2012-02-15 15:54:07 (Show Source): You can put this solution on YOUR website! what is the density in g/cm cube of a block of wood with a mass of 849g and a volume of 1022 cm cube ------------- Divide # of grams by # of cc's --> density in gm/cc

test/573183: Two pages that face each other in a book have 93 as the sum of their page numbers what are the page numbers 1 solutions Answer 368709 by Alan3354(30993)   on 2012-02-15 14:42:26 (Show Source): You can put this solution on YOUR website! Two pages that face each other in a book have 93 as the sum of their page numbers what are the page numbers ----------- 93/2 = 46.5 --> 46 & 47

Volume/573137: What is the lateral area of a cylinder with diameter 12 meters and lenght 4000 meters 1 solutions Answer 368705 by Alan3354(30993)   on 2012-02-15 13:59:44 (Show Source): You can put this solution on YOUR website! What is the lateral area of a cylinder with diameter 12 meters and lenght 4000 meters ------------ Area = p*pi*h = pi*d*h = 48000*pi sq meters

Linear_Equations_And_Systems_Word_Problems/573120: there's an army 5 miles long marching at 3 mph your in front and you have to take a letter 5 miles to back of the line at 5 mph and return to the front at 5 mph how many miles and how many hours did it take 1 solutions Answer 368675 by Alan3354(30993)   on 2012-02-15 11:54:52 (Show Source): You can put this solution on YOUR website! there's an army 5 miles long marching at 3 mph your [sic] in front and you have to take a letter 5 miles to back of the line at 5 mph and return to the front at 5 mph how many miles and how many hours did it take ----------------------- The round trip distance is 10 miles. ---------------- The relative speed going is 3 + 5 = 8 mi/hr Returning it's 5 - 3 = 2 mi/hr ---- The avg speed for the round trip is 2*8*2/(8 + 2) = 3.2 mi/hr ---- t = d/r = 10/3.2 = 3.125 hours

Probability-and-statistics/573118: I am planning a trip covering 2,823 miles. If I want to drive 8 hours per day, how many days will it take to arrive? 1 solutions Answer 368673 by Alan3354(30993)   on 2012-02-15 11:48:06 (Show Source): You can put this solution on YOUR website! I am planning a trip covering 2,823 miles. If I want to drive 8 hours per day, how many days will it take to arrive? ------- It depends on how fast you drive. If you go 353 mi/hr, 1 day will do it.

expressions/573105: ok here it is 5{[5(m-4)+17]-[2(5m-2)+4]} 1 solutions Answer 368670 by Alan3354(30993)   on 2012-02-15 11:40:36 (Show Source): You can put this solution on YOUR website! 5{[5(m-4)+17]-[2(5m-2)+4]} = 5{[5m-20+17]-[10m-4+4]} = 5{[5m-3]- 10m} = 5{-5m-3} = -25m - 15

Permutations/573112: i need help on Counting. If a license plate has three letters followed by three numbers, how many license plates can you have if there are no repetitions in the number part and a one or zero cannot be used in the fist digit of the number part. it is ok if the letters repeat. 1 solutions Answer 368669 by Alan3354(30993)   on 2012-02-15 11:36:14 (Show Source): You can put this solution on YOUR website! If a license plate has three letters followed by three numbers, how many license plates can you have if there are no repetitions in the number part and a one or zero cannot be used in the fist digit of the number part. it is ok if the letters repeat. ------------ 3 letters --> 26*26*26 1st number --> 2 to 9 = 8 (no zero or 1) 2nd number --> 0 to 9 except the 1st number --> 9 3rd number --> 0 to 9 except the 1st and 2nd #'s --> 8 ------ --> 26*26*26*8*9*8

Mixture_Word_Problems/573115: How many grams of water must be added to 2 grams of a 65% iodine solution in order to produce a 42% iodine solution? Round your answer to the nearest tenth. 1 solutions Answer 368668 by Alan3354(30993)   on 2012-02-15 11:32:51 (Show Source): You can put this solution on YOUR website! How many grams of water must be added to 2 grams of a 65% iodine solution in order to produce a 42% iodine solution? Round your answer to the nearest tenth. ---------- 2 gm of 65% = 1.3 gm of I ----- 1.3 gm = 42% of the solution Total solution = 1.3/0.42 =~ 3.095 gm Add 3.1 - 2 = 1.1 gm of water

Linear-equations/573111: how to solve for a if the line through the two given points has the given slope (a,3)(2,6)M=-1 1 solutions Answer 368667 by Alan3354(30993)   on 2012-02-15 11:30:24 (Show Source): You can put this solution on YOUR website! how to solve for a if the line through the two given points has the given slope (a,3)(2,6)M=-1 ------ m = diffy/diffx = -1 (6-3)/(2-a) = -1 a-2 = 3 a = 5

Triangles/573114: If I know the lengths of all three sides of a right triangle what is the formula to determine the unknown angles at the vertex opposite the known 90 degrees? 1 solutions Answer 368666 by Alan3354(30993)   on 2012-02-15 11:28:12 (Show Source): You can put this solution on YOUR website! If I know the lengths of all three sides of a right triangle what is the formula to determine the unknown angles at the vertex opposite the known 90 degrees? ----------- sine = side opposite/hyp All you need for these.

Equations/573089: How long does it take to get hot water to a 1.5 gpm faucet if there is 13 ft of 3/4" copper pipe and 8 ft of 1/2" copper pipe to the faucet? The time for it to reach full temperature due to pipe temperature is not an issue at this point. 1 solutions Answer 368663 by Alan3354(30993)   on 2012-02-15 11:01:26 (Show Source): You can put this solution on YOUR website! How long does it take to get hot water to a 1.5 gpm faucet if there is 13 ft of 3/4" copper pipe and 8 ft of 1/2" copper pipe to the faucet? The time for it to reach full temperature due to pipe temperature is not an issue at this point. ---------- Vol of 3/4" ID pipe = cubic inches Find the vol of the 1/2" pipe the same way. ------- Convert cu inches to gallons, divide by 1.5 to get time in minutes.

Radicals/573074: x^1/3=x-6 1 solutions Answer 368661 by Alan3354(30993)   on 2012-02-15 10:50:18 (Show Source): You can put this solution on YOUR website! x^1/3=x-6 ------------ Raise to the 3rd power -------------- You can find x = 8 by graphing, or by "eye-balling" it. There are 2 other solutions that are complex numbers. Divide by (x-8) then solve the quadratic to find those, if needed.

Travel_Word_Problems/573097: I drove one mile in 51 seconds. How fast was I going? The speedometer is broken on my car. tennisinfo2002@yahoo.com 1 solutions Answer 368658 by Alan3354(30993)   on 2012-02-15 10:40:47 (Show Source): You can put this solution on YOUR website! I drove one mile in 51 seconds. How fast was I going? The speedometer is broken on my car. --------------- r = d/t = (1/51) mi/second =~ 0.0196 mi/sec

Complex_Numbers/573035: Sorry this is calculus but I really need some help I keep on getting different answers using the different examples ive got please help me Evaluate the definite integral (the integral symbol with 2 at the top and 1 at the bottom)3x^2-2x dx My answers have been 0,1.5,4 and 4.5 1 solutions Answer 368654 by Alan3354(30993)   on 2012-02-15 09:24:45 (Show Source): You can put this solution on YOUR website! Evaluate the definite integral (the integral symbol with 2 at the top and 1 at the bottom)3x^2-2x dx My answers have been 0,1.5,4 and 4.5 -------------- Int(x) = x^3 - x^2 + C Int(2) = 8 - 4 = 4 (Ignore the C) Int(1) = 1 - 1 = 0 ------------------ Subtract = 4

Triangles/573072: I have the long leg of a right triangle it is equal to 100 inches. I then have an angle of 4º opposite of x. I need to find the length of the shorter leg x. I am right now using tangents in class. I was gone for a week and missed out and I don't have the best teacher please help me 1 solutions Answer 368653 by Alan3354(30993)   on 2012-02-15 09:20:31 (Show Source): You can put this solution on YOUR website! I have the long leg of a right triangle it is equal to 100 inches. I then have an angle of 4º opposite of x. I need to find the length of the shorter leg x. -------------- tan(4) = x/100 x = 100*tan(4) =~ 6.9927

test/573062: (x-5)^2+(y-1)^2=25 1 solutions Answer 368652 by Alan3354(30993)   on 2012-02-15 09:17:58 (Show Source): You can put this solution on YOUR website! Do you have a question?

Linear-systems/573075: I tried doing this equations to solve for y and x. 3x - 10y = -25 5x - 20y = -55 Could you help me??? 1 solutions Answer 368651 by Alan3354(30993)   on 2012-02-15 09:16:51 (Show Source): You can put this solution on YOUR website! 3x - 10y = -25 5x - 20y = -55 ----------------- Multiply the 1st eqn by 2, then subtract.

Expressions-with-variables/573071: Try To Reduce These Fraction To Do Lower Term But Need Help 5/12 1/3 + 1 solutions Answer 368650 by Alan3354(30993)   on 2012-02-15 09:15:49 (Show Source): You can put this solution on YOUR website! Try To Reduce These Fraction To Do Lower Term But Need Help 5/12 1/3 + ---------- Not sure what you mean by that.

Exponents-negative-and-fractional/573007: Please help me solve (-5/6) 1 solutions Answer 368649 by Alan3354(30993)   on 2012-02-15 09:14:43 (Show Source): You can put this solution on YOUR website! Please help me solve (-5/6) ------- Solve for what? Equations are solved. This is not one, it has no equal sign.

Polygons/572958: If the measure of an exterior angle of a regular polygon is 15, how many sides does the polygon have? 1 solutions Answer 368586 by Alan3354(30993)   on 2012-02-14 22:39:22 (Show Source): You can put this solution on YOUR website! If the measure of an exterior angle of a regular polygon is 15, how many sides does the polygon have? ========================= 360/15 = 24 sides

Equations/572895: Could someone please help me with this problem? I have to correct it on my homework and keep coming up with 70 which the teacher marked wrong. -4^2 + 3^3[-2(3-2^2)] 1 solutions Answer 368554 by Alan3354(30993)   on 2012-02-14 21:08:54 (Show Source): You can put this solution on YOUR website! -4^2 + 3^3[-2(3-2^2)] = -16 + 27*(-2*(3-4)) = -16 + 27*(-2*-1) = -16 + 27*(2) = -16 + 54 = 38 ----------- If the 1st term is -4^2 = -16 If it's (-4)^2 = +16, which would give an answer of 70

Volume/572900: Find the height of the cylinder with a radius of 4 inches and a volume of 256 cubic inches. I do not understand this question can you please step through the process of finding the answer ? 1 solutions Answer 368553 by Alan3354(30993)   on 2012-02-14 21:04:42 (Show Source): You can put this solution on YOUR website! Find the height of the cylinder with a radius of 4 inches and a volume of 256 cubic inches. ------------- inch You can leave it at 16/pi, or use a calculator.

Triangles/572890: Can we draw a triangle with sides 1cm, 2 cm and 3cm? 1 solutions Answer 368551 by Alan3354(30993)   on 2012-02-14 20:57:43 (Show Source): You can put this solution on YOUR website! Can we draw a triangle with sides 1cm, 2 cm and 3cm? --------- No. Cut some strings or straws, you'll see why not.

Trigonometry-basics/572848: I dont even know where to begin to start this problem 1+sin squared 40 degrees + sin squared 50 degrees 1 solutions Answer 368536 by Alan3354(30993)   on 2012-02-14 20:16:13 (Show Source): You can put this solution on YOUR website! 1+sin squared 40 degrees + sin squared 50 degrees ----- sin(50) = cos(40) --> 1 + sin^2(40) + cos^2(40) = 1 + 1 = 2

Surface-area/572804: If I know the distance around an irrigular shape in feet, how do I get the square footage? Reason? I am trying to determine acreage of irregular shaped lots after dividing up a 26.94 acre lot. 1 solutions Answer 368506 by Alan3354(30993)   on 2012-02-14 18:14:09 (Show Source): You can put this solution on YOUR website! If I know the distance around an irrigular shape in feet, how do I get the square footage? ------------------ You need more info than just the perimeter.

Average/572773: a student received grades of 79, 90 and 83 on the three math tests. what grade does the student need on the fourth test to have an average test score of at least 85 1 solutions Answer 368495 by Alan3354(30993)   on 2012-02-14 17:26:20 (Show Source): You can put this solution on YOUR website! a student received grades of 79, 90 and 83 on the three math tests. what grade does the student need on the fourth test to have an average test score of at least 85 ------------- (79 + 90 + 83 + score)/4 = 85 (79 + 90 + 83 + score) = 340 score = 88 to make avg 85

Surface-area/572719: what is the square footage of a 25'x25' hexagon and also need the same for a 22'x22' hexagon... 1 solutions Answer 368494 by Alan3354(30993)   on 2012-02-14 17:12:05 (Show Source): You can put this solution on YOUR website! what is the square footage of a 25'x25' hexagon and also need the same for a 22'x22' hexagon... ------------- Hexagons have 6 sides. What is 25x25 ?

Travel_Word_Problems/572577: at 9:45am Margie threw a ball upwards while standing on a platform 35 ft. above the ground. The height after t seconds follows the equation:h(t)= -0.6t^2+72t+35 a.) What will the maximum height of the ball be? b.)How long will it take the ball to reach its maximum height? I have tried this problem a few times and keep getting 107.36ft. I dont think im doing the set up correctly. Thanks for the help! 1 solutions Answer 368457 by Alan3354(30993)   on 2012-02-14 10:53:37 (Show Source): You can put this solution on YOUR website! at 9:45am Margie threw a ball upwards while standing on a platform 35 ft. above the ground. The height after t seconds follows the equation:h(t)= -0.6t^2+72t+35 a.) What will the maximum height of the ball be? b.)How long will it take the ball to reach its maximum height? ------------------- b.)How long will it take the ball to reach its maximum height? h(t)= -0.6t^2+72t+35 Max height is the vertex of the parabola. It's on the LOS (Line of Symmetry) t = -b/2a t = -72/(-1.2) t = 60 seconds ------------------ a.) What will the maximum height of the ball be? Max ht is h(60) h(60) = -0.6*60^2 + 72*60 + 35 = 2195 feet ------------------ The equation gives a gravity constant of 1.2 ft/sec/sec. On Earth, it's 32 ft/sec/sec . I wonder where Margie lives. ---- The 945 AM is not relevant.