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 Travel_Word_Problems/731247: There 429 people at a play. Admission was \$8 each for adults and \$4.50 each for children. The total receipts were \$2641. How many adults and how many children attended? 1 solutions Answer 447079 by ankor@dixie-net.com(15622)   on 2013-03-27 20:26:34 (Show Source): You can put this solution on YOUR website!There 429 people at a play. Admission was \$8 each for adults and \$4.50 each for children. The total receipts were \$2641. How many adults and how many children attended : Let a = no. of adults let c = no. of children : Write an equation for each statement : "There 429 people at a play." a + c = 429 c = (429-a); use this form for substitution : " The total receipts were \$2641." 8a + 4.50c = 2641 replace c with (429-a) 8a + 4.5(429-a) = 2641 8a + 1930.5 - 4.5a 8a - 4.5 a = 2641 - 1930.5 3.5a = 710.5 a = 710.5/3.5 a = 203 adults : I'll let you find the number of children, check the solutions in the total\$ equation
 Exponents/731273: I don't understand how to complete this problem. The answer key says it should be 2 but I don't get that answer. Here's the problem(sorry I don't know how to type this stuff): The cube root of 88 / the cube root of 11 I did 88^1/3 over 11^1/3 and then got 88/11 which then becomes 8. Please help! I don't know what I'm doing wrong. Thank you :)1 solutions Answer 447057 by ankor@dixie-net.com(15622)   on 2013-03-27 19:11:42 (Show Source): You can put this solution on YOUR website!The cube root of 88 / the cube root of 11 Factor inside the numerator radical to reveal a perfect cube Extract the cube root of 8 and you have = 2 (cube root of 11 over cube root of 11 = 1)
 logarithm/731225: what is the single logarithmic of this answer? 6ln(x)-1/3ln(y) 1 solutions Answer 447054 by ankor@dixie-net.com(15622)   on 2013-03-27 18:55:26 (Show Source): You can put this solution on YOUR website!6ln(x)-1/3ln(y) exponent equiv - subtraction means divide
 Age_Word_Problems/731060: Anne is now 3 times as old as she was 3 years before she was half as old as now. How old is anne? 1 solutions Answer 447003 by ankor@dixie-net.com(15622)   on 2013-03-27 12:58:41 (Show Source): You can put this solution on YOUR website!Anne is now 3 times as old as she was 3 years before she was half as old as now. How old is anne? : a = 3(.5a-3) a = 1.5a - 9 9 = 1.5a - a 9 = .5a a = 18 is her age now : Check solution in original equation
 Travel_Word_Problems/730947: andy track team decides to convert their running rates from miles per hour to kilometers per hour(1 mile<1.6 kilometers) A.which method would help you use to help the team do their converting:graph,table,or equation B.one of Andys teammates said that he could write an equation for his spreadsheet program that could convert any team members running rate from miles per hour to kilometers per hour. Write an equation that each member could use for this conversation 1 solutions Answer 446980 by ankor@dixie-net.com(15622)   on 2013-03-27 08:53:58 (Show Source): You can put this solution on YOUR website! andy track team decides to convert their running rates from miles per hour to kilometers per hour(1 mile<1.6 kilometers) A.which method would help you use to help the team do their converting:graph,table,or equation B.one of Andys teammates said that he could write an equation for his spreadsheet program that could convert any team members running rate from miles per hour to kilometers per hour. Write an equation that each member could use for this conversion : The actual conversion factor for mph to kmh is 1.609, an equation k = 1.6m is probably close enough : Using this equation you can construct a table m=1 to m=10 m| k ----- 1|1.6 2|3.2 3|4.8 etc
 Travel_Word_Problems/730910: There are 3 men riding bicycles all starting at the same time. They are on a 1/3 mile track. One is traveling 4 mph, one is traveling 6 mph and one is traveling 8 mph. How many minutes will it be until they are together at the starting point for the first time?1 solutions Answer 446936 by ankor@dixie-net.com(15622)   on 2013-03-26 21:02:46 (Show Source): You can put this solution on YOUR website!There are 3 men riding bicycles all starting at the same time. They are on a 1/3 mile track. One is traveling 4 mph, one is traveling 6 mph and one is traveling 8 mph. How many minutes will it be until they are together at the starting point for the first time? : The first guy completes a lap in * 3600 = 300 seconds The 2nd guy completes a lap in * 3600 = 200 seconds The 3rd guy completes a lap in * 3600 = 150 seconds : Least common multiple of all three lap times: In 600 seconds which is 10 minutes, they should all be at the start Guy 1 completes 2 laps Guy 2 completes 3 laps guy 3 completes 4 laps
 Volume/730895: A hemispheric dome is needed to cover a circular region having an area of 1600 square feet. What will be the height of this dome? Answer to the nearest tenth of a foot. 1 solutions Answer 446923 by ankor@dixie-net.com(15622)   on 2013-03-26 20:07:54 (Show Source): You can put this solution on YOUR website!A hemispheric dome is needed to cover a circular region having an area of 1600 square feet. What will be the height of this dome? Answer to the nearest tenth of a foot. : Find the radius of the circular region, this is also the height of the hemispheric dome = 1600 r = r = 22.56758 ~ 22.6 ft
 Travel_Word_Problems/730781: a man travels x km at 3 km/h but does the return journey at 2 km/h. if the round trip took 5 hours find x1 solutions Answer 446891 by ankor@dixie-net.com(15622)   on 2013-03-26 18:04:23 (Show Source): You can put this solution on YOUR website! a man travels x km at 3 km/h but does the return journey at 2 km/h. if the round trip took 5 hours find x : x/3 = time of the journey out x/2 = time of the return : Write a time equation; time = dist/speed out time + return time = 5 hrs + = 5 multiply by 6 to get rid of the denominators, resulting in: 2x + 3x = 6(5) 5x = 30 x = 30/5 x = 6 km : : Check solution in the original time equation
 Geometry_Word_Problems/730805: A cable is run from the top of a tree to a stake located 4m away from the base of the tree. the length of the cable is 1m less than twice the height of the tree. find the length of the cable.1 solutions Answer 446868 by ankor@dixie-net.com(15622)   on 2013-03-26 16:53:40 (Show Source): You can put this solution on YOUR website!A cable is run from the top of a tree to a stake located 4m away from the base of the tree. the length of the cable is 1m less than twice the height of the tree. find the length of the cable. : Let x = height of the tree then (2x-1) = length of the cable : Use pythag, a^2 + b^2 = c^2, where a = 4 b = x c = (2x-1) 4^2 + x^2 = (2x-1)^2 16 + x^2 = 4x^2 - 4x + 1 16 = 4x^2 - x^2 - 4x + 1 16 = 3x^2 - 4x + 1 0 = 3x^2 - 4x + 1 - 16 A quadratic equation 3x^2 - 4x - 15 = 0 Factors to (3x + 5)(x - 3) = 0 the positive solution x = 3 meters is the height of the tree then 2(3) - 1 = 5 meters is the length of the cable : : Check this 4^2 + 3^2 = 5^2
 Geometry_Word_Problems/730819: hi, i just had a small question and i was wondering if you could just help me. My question is if a isosceles triangle has sides 4cm and 6cm what are two possible lengths for the third side? Thanks for taking your time to help me plz reply asap. 1 solutions Answer 446860 by ankor@dixie-net.com(15622)   on 2013-03-26 16:27:57 (Show Source): You can put this solution on YOUR website!My question is if a isosceles triangle has sides 4cm and 6cm what are two possible lengths for the third side? : An isosceles triangle has two equal side, therefore third side could be either 4 or 6 1: 4, 4, 6 2: 6, 6, 4
 Age_Word_Problems/730724: a father is ten times his daughter AGe now. in 5 years time he will be 5 times as old as his daughter. How old are each of them now?1 solutions Answer 446858 by ankor@dixie-net.com(15622)   on 2013-03-26 16:21:52 (Show Source): You can put this solution on YOUR website! a father is ten times his daughter AGe now. f = 10d in 5 years time he will be 5 times as old as his daughter. f + 5 = 5(d+5) f + 5 = 5d + 25 f = 5d + 25 - 5 f = 5d + 20 : How old are each of them now? replace f with 10d 10d = 5d + 20 10d - 5d = 20 5d = 20 d = 20/5 d = 4 yrs old is the daughter now I'll let you find Dad's age
 Graphs/730776: Please help with my question, I can catch on fast if I am explained how to do it Find the equation of the line, both in point-slope and slope intercept form going through the point (3,5) and parallet to the line with the equation y=-x+51 solutions Answer 446852 by ankor@dixie-net.com(15622)   on 2013-03-26 15:52:38 (Show Source): You can put this solution on YOUR website!Find the equation of the line, both in point-slope and slope intercept form going through the point (3,5) and parallel to the line with the equation: y=-x+5 This is in the slope/intercept form Parallel lines have the same slope, therefore the parallel line y = -1x + b Given points x=3, y=5, find b 5 = -1(3) + b 5 + 3 = b b = 8 y = -x + 8 is the parallel line going thru 3,5 : The point-slope form y - y1 = m(x - x1) therefore y - 5 = -1(x - 3)
 logarithm/730740: 8=(1/2)^-3 in logarithmic form 1 solutions Answer 446842 by ankor@dixie-net.com(15622)   on 2013-03-26 15:43:18 (Show Source): You can put this solution on YOUR website!8=(1/2)^-3 in logarithmic form = -3
 Numeric_Fractions/730676: 1 solutions Answer 446840 by ankor@dixie-net.com(15622)   on 2013-03-26 15:35:17 (Show Source): You can put this solution on YOUR website! Subtract 3 from both sides Raise both sides to the 4th power x = 10000
 Surface-area/730726: A sphere has a diameter of 4m. What is its surface area and volume? Answers should be in terms of {pi}.1 solutions Answer 446817 by ankor@dixie-net.com(15622)   on 2013-03-26 14:25:20 (Show Source): You can put this solution on YOUR website! A sphere has a diameter of 4m. What is its surface area and volume? Answers should be in terms of {pi} Radius = 2m S.A. = S.A. = S.A. =
 Quadratic_Equations/730725: how to solve quadratic equations with all fractions1 solutions Answer 446816 by ankor@dixie-net.com(15622)   on 2013-03-26 14:14:04 (Show Source): You can put this solution on YOUR website!multiply the equation with a value that gets rid of the fractions first.
 Miscellaneous_Word_Problems/730751: If I were making \$50 every 5 minutes, how long would it take to reach \$2,250,000?1 solutions Answer 446815 by ankor@dixie-net.com(15622)   on 2013-03-26 14:11:56 (Show Source): You can put this solution on YOUR website!If I were making \$50 every 5 minutes, how long would it take to reach \$2,250,000? : That's 50 * 12 = \$600 per hr Assuming 24 hrs a day = 156.25 days
 Travel_Word_Problems/730738: Having problem figuring out this one. any help will be appreciated. Myron corporation is sponsoring a walking race at its company outing. Leona Jackson and Sam Peterson love to walk. Leona walks at the rate of 5 miles per hour. Sam walks at the rate of 6 miles per hour. Assume they start walking from the same place and walk in a straight line. Sam starts 1/2 hour after Leona. A) how long will it take Sam to meet Leona ? B) how many miles would each have walked?1 solutions Answer 446813 by ankor@dixie-net.com(15622)   on 2013-03-26 14:02:49 (Show Source): You can put this solution on YOUR website!Leona Jackson and Sam Peterson love to walk. Leona walks at the rate of 5 miles per hour. Sam walks at the rate of 6 miles per hour. Assume they start walking from the same place and walk in a straight line. Sam starts 1/2 hour after Leona. A) how long will it take Sam to meet Leona ? let t = S's walking time then (t + .5) = L's walking time When S catches up with L, they will have walked the same distance Write a distance equation: dist = speed * time 6t = 5(t+.5) 6t = 5t + 2.5 6t - 5t = 2.5 t = 2.5 hrs for S to catch up with L : (B) how many miles would each have walked? Find S's distance 6 * 2.5 = 15 miles check solution by finding L's dist 5 * (2.5+.5) = 15 mi
 test/730504: What is the quadratic function that contains the points (0, 121), (1,116) & (2,101)?1 solutions Answer 446767 by ankor@dixie-net.com(15622)   on 2013-03-26 08:48:21 (Show Source): You can put this solution on YOUR website!What is the quadratic function that contains the points (0, 121), (1,116) & (2,101)? : Using the form; ax^2 + bx + c = y; find a b and c The first pair x=0, therefore we know that c = 121 Write equations for the other two pair 1, 116 1^2*a + 1b + 121 = 116 a + b = 116 - 121 a + b = -5 and 2, 101 2^2*a + 2b + 121 = 101 4a + 2b = 101 - 121 4a + 2b = -20 simplify divide by 2 2a + b = -10 : Use elimination 2a + b = -10 a + b = - 5 --------------subtraction eliminates b, find a a = -5 Find a -5 + b = -5 b = 0 : The equation: y = -5x^2 + 0b + 121 or just y = -5x^2 + 121 : Check this using the given x/y pairs