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 sets-and-operations/750058: 1 solutions Answer 456444 by ankor@dixie-net.com(15623)   on 2013-05-18 18:04:03 (Show Source): You can put this solution on YOUR website!For which value satisfies the equation when a is greater 40 and b is greater than 100? : Rearrange to 10a^2 = b^2 + 1 a^2 = : a = let a > 40 > 40 Square both sides > 1600 b^2 + 1 > 1600 * 10 b^2 > 16000-1 b > b = 127 Find a 10a^2 = b^2 + 1 10a^2 = 127^2 + 1 10a^2 = 16129 + 1 a^2 = 16130/10 a^2 = 1613 a = a = 40.162
 Surface-area/750009: The surface of a sphere is 12960 cm squared, find the radius of the sphere 1 solutions Answer 456274 by ankor@dixie-net.com(15623)   on 2013-05-17 22:05:27 (Show Source): You can put this solution on YOUR website!The surface of a sphere is 12960 cm squared, find the radius of the sphere : = 12960 divide both sides by 4pi = = 1031.324 r = r = 32.114 is the radius
 Miscellaneous_Word_Problems/749959: In the absence of air resistance, the trajectory of a cannon ball fired from ground level at 1200 feet per second and at an angle of 45o can be approximated as y=x-1/45,000x^2 where y is the height above the ground and x is the distance from the cannon. A. Find the vertex of the parabola described by this equation B. What is the maximum height of the cannon ball? C. What is the range of the cannon ball (the range is the horizontal distance to the point of impact at ground level)? I'm a bit confused on how to find all these! Any help is appreciated thanks!1 solutions Answer 456273 by ankor@dixie-net.com(15623)   on 2013-05-17 21:50:17 (Show Source): You can put this solution on YOUR website!In the absence of air resistance, the trajectory of a cannon ball fired from ground level at 1200 feet per second and at an angle of 45 degrees can be approximated as y=x-x^2 WRite this in the standard form: y = ax^2 + bx + c y = x^2 + x where y is the height above the ground and x is the distance from the cannon. A. Find the vertex of the parabola described by this equation Find the axis of symmetry which is x = -b/(2a) x = = = +22500 : B. What is the maximum height of the cannon ball? Replace x with 22500 in the original equation, find y y = 22500^2 + 22500 y = +11250 ft max height : C. What is the range of the cannon ball (the range is the horizontal distance to the point of impact at ground level)? At impact, y = 0, occurs twice the value of the axis of symmetry x = 2(22500) = 45000 ft : Graphically
 Age_Word_Problems/749797: John is 5 years older than bob. Three years ago he was twice as bob. How old is john?1 solutions Answer 456215 by ankor@dixie-net.com(15623)   on 2013-05-17 15:45:38 (Show Source): You can put this solution on YOUR website!John is 5 years older than bob. j = b+5 : Three years ago he was twice as bob. j-3 = 2(b-3) j - 3 = 2b - 6 j = 2b - 6 + 3 j = 2b - 3 replace j with (b+5) b + 5 = 2b - 3 5 + 3 = 2b - b b = 8 yr is Bob's age : How old is john? j = 8 +5 j = 13 : : Check solutions in the statement: "Three years ago he was twice as bob." 13 - 3 = 2(8-3); confirms our answer
 Expressions-with-variables/749912: 1/2x-3/10x=x-1/2 the problem im having is with the steps. its not that i do not know the answers its how do i get there????? to solve for x that is 1 solutions Answer 456211 by ankor@dixie-net.com(15623)   on 2013-05-17 15:19:37 (Show Source): You can put this solution on YOUR website!x-x = x - we want to get rid of the denominators, multiply each term by 10 10*x-10*x = 10*x - 10* CAncel the denominators and we have: 5x - 3x = 10x - 5 2x = 10x - 5 5 = 10x - 2x 5 = 8x x =
 Age_Word_Problems/749779: The sum of the ages of two brothers is 38 years. Four years ago, the age of the elder brother was the square of the younger brother's age.Find their ages.1 solutions Answer 456165 by ankor@dixie-net.com(15623)   on 2013-05-17 09:31:44 (Show Source): You can put this solution on YOUR website!Never mind|
 Age_Word_Problems/749305: A father is four times as old as his son and his daughter is five years younger than her brother. If their combined ages amount to 73 years, find the age of each1 solutions Answer 456110 by ankor@dixie-net.com(15623)   on 2013-05-16 21:17:55 (Show Source): You can put this solution on YOUR website!A father is four times as old as his son and his daughter is five years younger than her brother. If their combined ages amount to 73 years, find the age of each : Let f = father's age let s = son's age let d = daughter's age : Write an equation for each statement: : "A father is four times as old as his son" f = 4s : "his daughter is five years younger than her brother." d = s-5 : "their combined ages amount to 73 years," f + s + d = 73 replace f with 4s, replace d with (s-5) 4s + s + (s-5) = 73 6s = 73 + 5 6s = 78 s = 78/6 s = 13 yrs is son's age : I'll let you find f and d, check your solutions in the total age
 Miscellaneous_Word_Problems/749662: If 3/4 of a number is 48, then what is 5/8 of that same number? I need to figure out the answer before Friday of this week so can you please help me? 1 solutions Answer 456107 by ankor@dixie-net.com(15623)   on 2013-05-16 21:09:42 (Show Source): You can put this solution on YOUR website!If 3/4 of a number is 48, then what is 5/8 of that same number? : Let n = "a number" the equation for the statement," 3/4 of a number is 48," n = 48 multiply both sides by 4 3n = 4(48) 3n = 192 n = 192/3 n = 64 is the number : "what is 5/8 of that same number?" *64 = Cancel 8 into 64 5 * 8 = 40
 Linear_Equations_And_Systems_Word_Problems/749612: A kicker on a football team scores 1 point for making an extra point and 3 points for making a field goal. The kicker makes a total of 8 extra points and field goals in one game. He scored a total of 12 points in the game. I have to write 2 equations representing the situation and solve them. I think I will be able to solve them but I can't come up with the equations. 1x + y =8 3x + y =12, is all I am able to come up with. Your time is greatly appreciated. (:1 solutions Answer 456097 by ankor@dixie-net.com(15623)   on 2013-05-16 19:38:34 (Show Source): You can put this solution on YOUR website!A kicker on a football team scores 1 point for making an extra point and 3 points for making a field goal. The kicker makes a total of 8 extra points and field goals in one game. He scored a total of 12 points in the game. I have to write 2 equations representing the situation and solve them. I think I will be able to solve them but I can't come up with the equations. 1x + y =8 3x + y =12 : rewrite it to 3x + y = 12 x + y = 8 -------------Subtraction eliminates y, find x 2x = 4 x = 4/2 x = 2 field goals I'm sure you can find the extra points
 Linear-equations/749355: please help me with this word problem: Two stations A and B are 90km apart and on a highway.A car starts from A and another from B at the same time.If they go in the same direction, they meet after 9 hours and if they go in opposite directions,they meet after 1 2/7 (one- two by seven hours)hours, find the speeds of both the cars. 1 solutions Answer 456036 by ankor@dixie-net.com(15623)   on 2013-05-16 15:53:53 (Show Source): You can put this solution on YOUR website!Two stations A and B are 90km apart and on a highway. A car starts from A and another from B at the same time. If they go in the same direction, they meet after 9 hours and if they go in opposite directions, they meet after 1 2/7 hours, find the speeds of both the cars. : Change 1 2/7 hrs to 9/7 hrs : Let x = Car from A's speed Let y = Car from B's speed : A distance equation when going towards each other x + y = 90 multiply by 7 9x + 9y = 630 : A distance equation when going the same direction 9x = 9y + 90 9x - 9y = 90 : Use elimination here 9x + 9y = 630 9x - 9y = 90 ---------------addition eliminates y, find x 18x = 720 x = 720/18 x = 40 km/hr speed of the Car from A then 9(40) + 9y = 630 9y = 630 - 360 9y = 270 y = 270/9 y = 30 km/hr speed of the car from B : : You can confirm this 9(40) - 9(30) = 90
 pythagorean/749499: Katie has to drive 15 miles east and 36 miles north to get to her aunt's house. Which of the following equations could be used to find the direct distance to her aunt's house? 1 solutions Answer 456020 by ankor@dixie-net.com(15623)   on 2013-05-16 14:38:17 (Show Source): You can put this solution on YOUR website!Katie has to drive 15 miles east and 36 miles north to get to her aunt's house. Which of the following equations could be used to find the direct distance? : This is a pythag triangle equation where the legs are 15 and 36 The direct distance (d) is the hypotenuse : d = :
 Permutations/749386: Plz some1 help me to solve this problem: An 8 litre cylinder contains a mixture of oxygen and nitrogen, the volume of oxygen being 16% of the total volume. A few litres of the mixture is released and an equal amount of nitrogen is added. Then the same amount of the mixture as before is released and replaced by nitrogen for the second time. As a result, the oxygen content becomes 9% of the total volume. How many litres of mixture is released each time? 1 solutions Answer 456017 by ankor@dixie-net.com(15623)   on 2013-05-16 14:33:04 (Show Source): You can put this solution on YOUR website!An 8 litre cylinder contains a mixture of oxygen and nitrogen, the volume of oxygen being 16% of the total volume. A few litres of the mixture is released and an equal amount of nitrogen is added. Then the same amount of the mixture as before is released and replaced by nitrogen for the second time. As a result, the oxygen content becomes 9% of the total volume. How many litres of mixture is released each time? : let x = amt of mixture released each time, also the amt of nitrogen added : We know that if the mixture is 16% oxygen, it is 84% nitrogen then 9% oxygen means we have 91% nitrogen : Write the decimal equation in the terms of nitrogen .84(8-2x) + 2x = .91(8) 6.72 - 1.68x + 2x = 7.28 -1.28x + 2x = 7.28 - 6.72 .32x = .56 x = .56/.32 x = 1.75 liters of the mixture is released each time.
 test/749204: 3^x=5601 solutions Answer 455897 by ankor@dixie-net.com(15623)   on 2013-05-15 21:27:38 (Show Source): You can put this solution on YOUR website!3^x = 560 Use common logs for this log(3^x) = log(560) log equiv of exponents x*log(3) = log(560) x = using a calc x ~ 5.76 : : Check on your calc, enter 3^5.76
 Quadratic_Equations/749246: Have a project with Angry Birds where you have to find the equation of a parabola for the bird's flight path in various situations. I have to pick a point at the origin and a pint on the x axis for the pig to be placed and find the flight path (equation). How would i do this? I chose for points: Bird placed at (0,0) Pig placed at (5,0) I dont understand what to do after this please help.1 solutions Answer 455895 by ankor@dixie-net.com(15623)   on 2013-05-15 21:16:41 (Show Source): You can put this solution on YOUR website!Have a project with Angry Birds where you have to find the equation of a parabola for the bird's flight path in various situations. I have to pick a point at the origin and a point on the x axis for the pig to be placed and find the flight path (equation). How would i do this? I chose for points: Bird placed at (0,0) Pig placed at (5,0) : We need another point, 0,0 is of no use, lets choose 3,4 as a point : Using the form ax^2 + bx + c = y We are using origin so we can ignore c, just find a and b : Write an equation for each point, find a and b : Point: 5,0 25a + 5b = 0 and Point 3,4 9a + 3b = 4 : Multiply the 1st equation by 3, the 2nd equation by 5 75a + 15b = 0 45a + 15b = 20 ------------------subtraction eliminates b, find a 30a = -20 a = -20/30 a = -.67 Use the 1st equation to find b 25(-.67) + 5b = 0 -16.67 + 5b = = 5b = 16.67 b = 16.67/5 b = 3.33 : The equation: y = -.67x^2 + 3.33x looks like this
 Rate-of-work-word-problems/749081: If four men working at the same rate can do 2/3 of a job in 40 minutes, how many minutes would it take one man working at this rate to do 2/5 of the job?1 solutions Answer 455886 by ankor@dixie-net.com(15623)   on 2013-05-15 20:48:03 (Show Source): You can put this solution on YOUR website!If four men working at the same rate can do 2/3 of a job in 40 minutes, then the number of minutes (m)to complete the job is: m = 40 2m = 3 * 40 2m = 120 m = 60 min for four men to do the job therefore 4 * 60 = 240 man-minutes to do the job : how many minutes would it take one man working at this rate to do 2/5 of the job? 1m = *240 1m = 96 minutes for 1 man to do 2/5 of the job
 Travel_Word_Problems/749075: Two runners start running at the same time from the start/finish line of a 400 meter oval track. One runner runs laps of 1 minute 15 seconds and the other runs laps of 1 minute 45 seconds. How long will it be before the runners cross the finish line at the same time?1 solutions Answer 455786 by ankor@dixie-net.com(15623)   on 2013-05-15 16:22:27 (Show Source): You can put this solution on YOUR website!Two runners start running at the same time from the start/finish line of a 400 meter oval track. One runner runs laps of 1 minute 15 seconds and the other runs laps of 1 minute 45 seconds. How long will it be before the runners cross the finish line at the same time? : Change the times to seconds: Runner one laps in 75 sec Runner two laps in 105 sec : Find the least common multiple of 75 and 105 by prime factoring. 75: 3*5*5 105: 3*7*5 LCM: 3*5*5*7 = 525 seconds they will cross the finish line at the same time (That's 8 min 45 sec) : Runner one completes exactly 525/75 = 7 laps Runner two completes exactly 525/105 = 5 laps
 Equations/748833: Its been WAY too long since I did algebra. Trying to help my son with an equation but I just cannot remember how this stuff works... what is the simplest form of x+3 over x3-x2-6x divided by x2-9 over x2+x-12? Little help, please?1 solutions Answer 455655 by ankor@dixie-net.com(15623)   on 2013-05-14 21:51:40 (Show Source): You can put this solution on YOUR website!what is the simplest form of: ------------- : Remember when you divide fractions, invert the dividing fraction and Multiply * : Factor as much as we can * : the first denominator can be factored again * : Cancel x+3 and x-3, in the 2nd denominator * (x+4) = ; about all you can do with it. : : It's not an equation, expressions are what they are
 Systems-of-equations/748794: Solve the given nonlinear system by the addition method. 4x^2–2y^2= –2 x^2+4y^2=40 Please show me the steps. thank you so much!!1 solutions Answer 455654 by ankor@dixie-net.com(15623)   on 2013-05-14 21:32:56 (Show Source): You can put this solution on YOUR website!Solve the given nonlinear system by the addition method. 4x^2 – 2y^2= –2 x^2 + 4y^2 = 40 : Multiply the 1st equation by 2, add to the 2nd equation 8x^2 – 4y^2= –4 x^2 + 4y^2 = 40 --------------------Addition eliminates y^2, find x^2 9x^2 = 36 divide both sides by 9 x^2 = 4 x = +/- x = +2, x = -2 : Find y using the 2nd equation, we know x^2 = 4 4 + 4y^2 = 40 4y^2 = 40 - 4 4y^2 = 36 divide both sides by 4 y^2 = 9 y = +/- y = +3 y = -3 : Check our solutions in the 1st equation 4(4) - 2(9) = -2
 Geometry_Word_Problems/748721: Carl is making a rectangular dog run. He has 36 one yard sections of fence that he plans to use to keep his dog inside. He wants the run to be as long as possible. what is the longest whole-number length he can use for the run? Thank you for your help as I am unable to assist my daughter with this question.1 solutions Answer 455648 by ankor@dixie-net.com(15623)   on 2013-05-14 21:13:08 (Show Source): You can put this solution on YOUR website! Carl is making a rectangular dog run. He has 36 one yard sections of fence that he plans to use to keep his dog inside. He wants the run to be as long as possible. what is the longest whole-number length he can use for the run? : Assuming the run will be 1 section wide at each end. That leaves 34 ea 1 yard sections for the lengths He needs two sides of: 34/2 = 17 sections in the length : Check by finding the perimeter: 17 + 1 + 17 + 1 = 36 sections
 Rate-of-work-word-problems/748787: Tiburcio can paint a certain room in 1 day. His daughter Alma can paint it in 2 days. After Tiburcio has been working for several hours, his daughter helped him and together they finished the job in 3 hours. How many hours did Tiburcio work alone? Assume an 8-hour working day.1 solutions Answer 455646 by ankor@dixie-net.com(15623)   on 2013-05-14 21:02:50 (Show Source): You can put this solution on YOUR website!Tiburcio can paint a certain room in 1 day. His daughter Alma can paint it in 2 days. After Tiburcio has been working for several hours, his daughter helped him and together they finished the job in 3 hours. How many hours did Tiburcio work alone? Assume an 8-hour working day. : Let t = time that Ti worked alone Let the completed job = 1 (a painted room) : A shared work equation, (time in hrs) + = 1 multiply by 16, cancel the denominators, resulting in: 2(t+3) + 3 = 16 2t + 6 + 3 = 16 2t = 16 - 9 2t = 7 t = 7/2 t = 3.5 hrs worked by Ti alone : : See if that checks out on a calc: + = .8125 + .1875 = 1
 Age_Word_Problems/748520: The average age of a board of 10 advisors of a company is the same as it was 3 year back on account of the replacement of one of the older advisors by younger men.what is the difference between older and younger man?1 solutions Answer 455639 by ankor@dixie-net.com(15623)   on 2013-05-14 20:02:11 (Show Source): You can put this solution on YOUR website!The average age of a board of 10 advisors of a company is the same as it was 3 year back on account of the replacement of one of the older advisors by younger men. what is the difference between older and younger man? : Let a = the average age : let y = age of the younger man : = multiply both sides by 10 10a - 30 = 9a + y 10a - 9a = y + 30 a = y + 30 : 30 years between older and younger man
 logarithm/748328: express in terms of logarithms of A,B and c: log(a to the 3 power times B divided b the square root of c) I need to know what steps to take to get the answer. Thank you!1 solutions Answer 455506 by ankor@dixie-net.com(15623)   on 2013-05-14 07:54:23 (Show Source): You can put this solution on YOUR website!express in terms of logarithms of A,B and c: log(a to the 3 power times B divided by the square root of c) : Can also be written 3*log(A) + log(B) - log(c)
 Age_Word_Problems/748158: Crisner is 3 years older than her niece Josephine. In 7 years she will be six seventh of her age. How old are they?1 solutions Answer 455473 by ankor@dixie-net.com(15623)   on 2013-05-13 21:46:55 (Show Source): You can put this solution on YOUR website!): Crisner is 3 years older than her niece Josephine. In 7 years she will be six seventh of her age. How old are they? : Let c = C's age now Let j = J's age ; Write an equation for each statement : "): Crisner is 3 years older than her niece Josephine." c = j + 3 : "In 7 years she will be six seventh of her age." j + 7 = (c+7) Get rid of that annoying fraction, mult both sides by 7 7(j+7) = 6(c+7) 7j + 49 = 6c + 42 7j = 6c + 42 - 49 7j = 6c - 7 replace c with (j+3) from the 1st statement 7j = 6(j+3) - 7 7j = 6j + 18 - 7 7j - 6j = 11 j = 11 yrs is J's age then 11 + 3 = 14 yrs is C's age ; ; see if that works j + 7 = (c+7) 11 + 7 = (14+7) 18 = (21) 7 cancels into 21 18 = 6(3)