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Angles/509005: A supplement of a given angle is four times as large as a compliment of the angle.find the measure of the given angle 1 solutions Answer 341267 by ankor@dixie-net.com(15652)   on 2011-10-04 09:05:09 (Show Source): You can put this solution on YOUR website! A supplement of a given angle is four times as large as a compliment of the angle. find the measure of the given angle : Let a = the given angle then we know (180-a) = it's supplement and (90-a) = it's complement : Write an equation for the statement: "A supplement of a given angle is four times as large as a compliment of the angle." (180-a) = 4(90-a) 180 - a = 360 - 4a -a + 4a = 360 - 180 3a = 180 a = a = 60 degrees is the angle : You can check this in the original equation

Numbers_Word_Problems/509001: Maria and Judy pool thier money and find that they have a dollar bill and 18 coins of the same kind. To divide the money equally, Maria takes 11 of the coins and gives Judy what remains. What kind of coins are they? 1 solutions Answer 341265 by ankor@dixie-net.com(15652)   on 2011-10-04 08:52:28 (Show Source): You can put this solution on YOUR website! Maria and Judy pool their money and find that they have a dollar bill and 18 coins of the same kind. To divide the money equally, Maria takes 11 of the coins and gives Judy what remains. What kind of coins are they? : let c = the value of the coins : 11c = 1 + 7c 11c - 7c = 1 4c = 1 c = c = .25, quarters : You can check the amt each gets

Miscellaneous_Word_Problems/508969: The boys were 3/8 of the way across a bridge when they heard the Cannonball Express approaching the bridge at 60 mph. They quickly calculated that they could just save themselvess by running to either end of the bridge at top speed. How fast could they run? 1 solutions Answer 341204 by ankor@dixie-net.com(15652)   on 2011-10-03 21:50:23 (Show Source): You can put this solution on YOUR website! The boys were 3/8 of the way across a bridge when they heard the Cannonball Express approaching the bridge at 60 mph. They quickly calculated that they could just save themselvess by running to either end of the bridge at top speed. How fast could they run? : This is a logic problem When they heard the train they were 3/8 from the end where the train would come It tells us the train would enter when they had run 3/8 the way. If they turned and ran the opposite way, there would be 3/8 + 3/8 = 6/8 or 3/4 across the bridge. Therefore they will run the last 1/4 the length of the bridge, while the train travels the whole length the bridge. They must be running *60 = 15 mph

test/508394: Use the quadratic equation to solve the quadratic equation. 18x^4-30x^2=0 1 solutions Answer 341194 by ankor@dixie-net.com(15652)   on 2011-10-03 21:38:06 (Show Source): You can put this solution on YOUR website! Use the quadratic equation to solve the quadratic equation. 18x^4-30x^2 = 0 You don't need the quadratic formula to solve this Factor out 6x^2 6x^2(3x^2 - 5) = 0 Three solutions x = 0 and 3x^2 = 5 x^2 = x = + and x = -

Travel_Word_Problems/508371: Richard had to arrive at the airport at exactly 10 am. If he is able to drive at an average speed of 60 miles per hour he would arrive early at 9 am. If he drives at an average speed of 40 miles per hour he would arrive late at 11am. How fast should he travel to arrive at the airport at 10 am exactly? You need to assume that Richard sets out at the same time in each scenario. You are not told what this time is and are not asked for it, but could work it out from the information given. You are asked to work out what his average speed should be if, after setting out at the same time as in the first two examples, he is to arrive exactly on time. 1 solutions Answer 341188 by ankor@dixie-net.com(15652)   on 2011-10-03 21:30:55 (Show Source): You can put this solution on YOUR website! Richard had to arrive at the airport at exactly 10 am. If he is able to drive at an average speed of 60 miles per hour he would arrive early at 9 am. If he drives at an average speed of 40 miles per hour he would arrive late at 11am. How fast should he travel to arrive at the airport at 10 am exactly? : Let d = the distance Let s = the speed required to arrive on time : Write a time equation for each scenario - = 1 hr (early) - = 1 hr (late) : Multiply by a common denominator in each to clear the denominator 60d - ds = 60s; multiplied by 60s and ds - 40d = 40s; multiplied by 40s Arrange these two equation for elimination +60d - ds = 60s -40d + ds = 40s -------------------adding eliminates ds leaving us with 20d = 100s Divide both sides by 20 d = 5s Using the 1st equation replace d with 20s - = 1 hr 5 - = 1 - = 1 - 5 - = -4 Cancel 5 into 60 - = -4 multiply both sides by -12; s = -12*-4 s = +48 mph is the required speed to arrive on time : : Find the distance and check the solution in the 2nd equation d = 5(48) d = 240 mi - = 1 hr 6 hrs - 5 hrs = 1 hr

Age_Word_Problems/508613: Trevor, currently 22 years old, is half of his dad's age six years ago. How old is Trevor's dad? 1 solutions Answer 341158 by ankor@dixie-net.com(15652)   on 2011-10-03 20:18:18 (Show Source): You can put this solution on YOUR website! revor, currently 22 years old, is half of his dad's age six years ago. How old is Trevor's dad? : Let d = Dad's present age : Just write an equation for what it says: .5(d-6) = 22 .5d - 3 = 22 .5d = 22 + 3 .5d = 25 multiply both sides by 2 d = 50 yrs old is Dad's present age

Travel_Word_Problems/508626: Glen runs 10 meters in the same time that Leo runs 8 meters. One day they ran around a 400 meter circular track. They started at the same place at the same time and they ran in opposite directions. What was Glen's location on the track when Leo passed the starting line the third time? 1 solutions Answer 341099 by ankor@dixie-net.com(15652)   on 2011-10-03 18:55:28 (Show Source): You can put this solution on YOUR website! Glen runs 10 meters in the same time that Leo runs 8 meters. One day they ran around a 400 meter circular track. They started at the same place at the same time and they ran in opposite directions. What was Glen's location on the track when Leo passed the starting line the third time? : Let's assume that 10 m/sec = Glen's running speed and 8 m/sec = Leo's running speed : Find the time that it takes Leo to run around the track 3 times at 8 m/sec = 150 sec Find the distance Glen runs in 150 sec 150 * 10 = 1500 meters : Glenn is running in the opposite direction, he will be 100 meters from lapping it the 4th time, Leo will be crossing he starting point at that time, having lapped it 3 times

Rational-functions/508559: Please!!I need help. I have to solve the following systems by method of my choice. #1 14x + 2y = 10 and x - 5y = 11 #2 2x + 3y= 12 and x-y = 13 1 solutions Answer 341061 by ankor@dixie-net.com(15652)   on 2011-10-03 17:19:55 (Show Source): You can put this solution on YOUR website! solve the following systems by method of my choice. #1 14x + 2y = 10 x - 5y = 11 Use the 2nd equation for substitution x = (5y + 11) Replace x in the 1st equation 14(5y+11) + 2y = 10 70y + 154 + 2y = 10 70 + 2y = 10 - 154 72y = -144 y = y = -2 use the 1s equation to find x 14x + 2(-2) = 10 14x = 10 + 4 14x = 14 x = x = 1 : Check solutions in the 2nd equation x - 5y = 11 1 - 5(-2) = 11 1 + 10 = 11 : : #2 2x + 3y= 12 x - y = 13 Multiply the 2nd equation by 3 2x + 3y = 12 3x - 3y = 39 ---------------addition eliminates y, find x 5x = 51 x = x = 10.2 use the 2nd equation to find y 10.2 - y = 13 -y = 13 - 10.2 -y = 2.8 y = -2.8 : Check solutions in the 1st equation 2x + 3y = 12 2(10.2) + 3(-2.8) = 12 20.4 - 8.4 = 12

Rate-of-work-word-problems/508410: a tank is filled with 2 pipes. the first pipe can fill the tank in 10 hours. But after it has been opened for3 1/3 hours, the second pipe is opened and the tank is filled up in 4 hours more. how long would it take the second pipe to fill the tank? the two pipes have different diameters. 1 solutions Answer 341059 by ankor@dixie-net.com(15652)   on 2011-10-03 16:53:53 (Show Source): You can put this solution on YOUR website! a tank is filled with 2 pipes. the first pipe can fill the tank in 10 hours. But after it has been opened for 3 1/3 hours, the second pipe is opened and the tank is filled up in 4 hours more. how long would it take the second pipe to fill the tank? the two pipes have different diameters. : from the given information we know that the 1st pipe was open for 7 1/3 hrs. Convert that to hrs : let p = the time required by the 2nd pipe to fill the tank let a full tank = 1 : A typical mixture equation + = 1 which is + = 1 Multiply by 70p to clear the denominators 22p + 4(70) = 70p 280 = 70p - 22p 280 = 48p p = p = 5.83 hrs or 5 hrs 50 minutes

Travel_Word_Problems/508218: 8. A tank can fill by one pipe in 9 hours and by another pipe in 12 hours. Starting empty, how long will it take to fill the tank if water is being taken out by a third pipe at a rate per hour equal to one-sixth the capacity of the tank? 1 solutions Answer 340908 by ankor@dixie-net.com(15652)   on 2011-10-02 22:09:16 (Show Source): You can put this solution on YOUR website! A tank can fill by one pipe in 9 hours and by another pipe in 12 hours. Starting empty, how long will it take to fill the tank if water is being taken out by a third pipe at a rate per hour equal to one-sixth the capacity of the tank? : Let t = time required to fill tank with all three pipes open : Let a full tank = 1 : + - = 1 multiply by 36, to clear the denominators, results 4t + 3d - 6t = 36 t = 36 hrs : : Check + - = 4 + 3 - 6 = 1

Expressions-with-variables/508030: 2(x+a)=4b solve for a 1 solutions Answer 340905 by ankor@dixie-net.com(15652)   on 2011-10-02 21:57:17 (Show Source): You can put this solution on YOUR website! 2(x+a)=4b solve for a Divide both sides by 2, results: x + a = cancel 2 x + a = 2b a = 2b - x

Linear-systems/507952: i'm having trouble putting this into an equation, thank you in advance!! i really need help... In 1962, Wilt Chamberlain set an NBA single-game scoring record. He scored 64 times for a total of 100 points. He made no 3-point shots, but he made several free throws worth 1 point each and several regular shots worth 2 points each. how many free throws did he make? How many 2-point shots did he make? 1 solutions Answer 340904 by ankor@dixie-net.com(15652)   on 2011-10-02 21:51:00 (Show Source): You can put this solution on YOUR website! In 1962, Wilt Chamberlain set an NBA single-game scoring record. He scored 64 times for a total of 100 points. He made no 3-point shots, but he made several free throws worth 1 point each and several regular shots worth 2 points each. how many free throws did he make? How many 2-point shots did he make? : let x = no. of free throws let y = no. of two point basket : x + y = 64 x = (64-y) : 1x + 2y = 100 now substitute (64-y) for x, you should be able to solve this now

Money_Word_Problems/507949: I'm having a hard time solving this. I know how to set it up with x+y=43 and .99x+1.25y=49.59 but I'm not sure where to go from there. An online music store sell songs for 2 different prices. Your dad buys you 43 songs for a total of $49.59. The low cost songs are $0.99 each and the more expensive songs are $1.25 each. How many of each did he buy? 1 solutions Answer 340885 by ankor@dixie-net.com(15652)   on 2011-10-02 20:04:46 (Show Source): You can put this solution on YOUR website! An online music store sell songs for 2 different prices. Your dad buys you 43 songs for a total of $49.59. The low cost songs are $0.99 each and the more expensive songs are $1.25 each. How many of each did he buy? : Using your equations x + y = 43 x = (43-y); we can use this form for substitution : .99x + 1.25y = 49.59 from the 1st equation, we can substitute (43-y) for x, solve for y: .99(43-y) + 1.25y = 49.59 42.57 - .99y + 1.25y = 49.59 -.99y + 1.25y = 49.59 - 42.57 .26y = 7.02 y = y = 27 ea 1.25 cds : I know you can find x, the no. of .99 cds, now. check by finding the total cost

Travel_Word_Problems/507878: Sam rode his bike for 1 mile to a friend's house. Then his friend's mom drove him 12 miles at a rate that was 25 miles per hour faster than he was able to ride his bike. If the entire trip took 3/5 of an hour, what was Sam's rate of speed on the bike? 1 solutions Answer 340880 by ankor@dixie-net.com(15652)   on 2011-10-02 19:51:37 (Show Source): You can put this solution on YOUR website! Sam rode his bike for 1 mile to a friend's house. Then his friend's mom drove him 12 miles at a rate that was 25 miles per hour faster than he was able to ride his bike. If the entire trip took 3/5 of an hour, what was Sam's rate of speed on the bike? : Let b = bike speed then (b+25) = car speed : Write a time equation, time = dist/speed : Bike time + car time = 3/5 hr + = multiply by 5b(b+25) 5b(b+25)* + 5b(b+25)* = 5b(b+25)* cancel out the denominators, resulting in 5(b+25) + 5b(12) = 3b(b+25) 5b + 125 + 60b = 3b^2 + 75b 65b + 125 = 3b^2 + 75b : Arrange as a quadratic equation on the right 0 = 3b^2 + 75b - 65b - 125 3b^2 + 10b - 125 = 0 : you can use the quadratic formula to find b, but this will factor; (3b+25)(b-5) = 0 : the positive solution b = 5 mph is the bike speed : : Check this by finding that actual time of each 5 + 25 = 30 mph is the cars speed : + = Reduce fraction + =

Polynomials-and-rational-expressions/507854: Hi I was hoping someone could please help me with this! Thank you so much!!!! :) Write two equivalent expressions for the opposite of each polynomial, (−4x2 + 2x) − (−5x2 + 2x3 + 3) 1 solutions Answer 340878 by ankor@dixie-net.com(15652)   on 2011-10-02 19:15:34 (Show Source): You can put this solution on YOUR website! Write two equivalent expressions for the opposite of each polynomial, (−4x2 + 2x) − (−5x2 + 2x3 + 3) opposite of the 1st expression a negative outside the bracket -(−4x2 + 2x) the neg outside the brackets changes the sign inside the brackets (4x^2 - 2x) : change to a positive outside the brackets +(−5x2 + 2x3 + 3) a positive leaves the signs unchanged :

Travel_Word_Problems/507924: Write a system of equations then solve: You and a friend share the driving on a 280 mile trip. Your average speed is 58 m.p.h. Your friend's average speed is 53 m.p.h. You drive one hour longer than your friend. How many hours did each of you drive? 1 solutions Answer 340876 by ankor@dixie-net.com(15652)   on 2011-10-02 19:06:57 (Show Source): You can put this solution on YOUR website! You and a friend share the driving on a 280 mile trip. Your average speed is 58 m.p.h. Your friend's average speed is 53 m.p.h. You drive one hour longer than your friend. How many hours did each of you drive? : Let t = friends driving time then (t+1) = your driving time : Write a distance equation, dist = speed * time : your dist + friend's dist = 380 mi 58(t+1) + 53t = 280 58t + 58 + 53t = 280 58t + 53t = 280 - 58 111t = 222 t = t = 2 hrs your friend drove then 2 + 1 = 3 hrs driven by you : : See if that checks out, find the dist each drove 58*3 = 174 mi 53*2 = 106 mi -------------------- total: 280 mi

Travel_Word_Problems/507958: A car travels along a straight road at 65 km/h when it begins to pass a train traveling on a track parallel to the road. The train is moving at 35 km/h in the same direction as the car. If the train is 150 m long, how many seconds will it take for the car to pass the train? 1 solutions Answer 340834 by ankor@dixie-net.com(15652)   on 2011-10-02 16:08:34 (Show Source): You can put this solution on YOUR website! A car travels along a straight road at 65 km/h when it begins to pass a train traveling on a track parallel to the road. The train is moving at 35 km/h in the same direction as the car. If the train is 150 m long, how many seconds will it take for the car to pass the train? : Change 150 to .15 km, find the time in hrs and convert to seconds (time 3600) time = dist/speed t = t = t = .005 * 3600 = 18 seconds

Numbers_Word_Problems/507671: A man sold 2 acres more than 3/5 of his farm and had 4 acres less than 1/2 of it left. how many acres in the farm. 1 solutions Answer 340829 by ankor@dixie-net.com(15652)   on 2011-10-02 15:52:28 (Show Source): You can put this solution on YOUR website! A man sold 2 acres more than 3/5 of his farm and had 4 acres less than 1/2 of it left. how many acres in the farm. : change the fractions to .6 and .5 : Let f = no. of acres in his farm : f - (.6f+2) = .5f - 4 f - .6f - 2 = .5f - 4 f .6f - .5f = -4 + 2 -.1f = -2 f = f = +20 acres originally in the farm : : See if that check out 20 - .6(20) - 2 = .5(20) - 4 20 - 12 - 2 = 10 - 4 6 = 6; confirms our solution of f = 20

Volume/507779: I wish to have 5 cubic yards of dry sand delivered to my yard. How big (diameter and height of cone) will the pile of sand be? 1 solutions Answer 340825 by ankor@dixie-net.com(15652)   on 2011-10-02 15:24:20 (Show Source): You can put this solution on YOUR website! I wish to have 5 cubic yards of dry sand delivered to my yard. How big (diameter and height of cone) will the pile of sand be? : Assuming the height of the pile is half the diameter (equal to the radius) convert 5 cubic yds to cu/ft: 5*27 = 135 cu/ft : = 135 multiply both sides by 3 = 405 = = 129 Find the cube root of both sides r ~ 5 ft : A pile with a 10 ft diameter and a height of 5 ft, for 5 cu/yds

Equations/507792: The square of a number is 4 more than three times the number.find the number? 1 solutions Answer 340781 by ankor@dixie-net.com(15652)   on 2011-10-02 12:52:29 (Show Source): You can put this solution on YOUR website! n = the number The square of a number is 4 more than three times the number.find the number? n^2 = 3n + 4 Arrange as a quadratic equation n^2 - 3n - 4 = 0 factors to: (n-4)(n+1) = Two solutions n = 4 n = -1 Check to see that both solutions satisfy the given statement

Age_Word_Problems/507769: Carrie was born when her father was 42 years old. When Carrie was 10 his father passed away. He left her with a large estate that she can claim at the age when she should be one-third her father's age if he had been alive. How old will she be when she is able to claim the estate? 1 solutions Answer 340753 by ankor@dixie-net.com(15652)   on 2011-10-02 11:24:52 (Show Source): You can put this solution on YOUR website! Carrie was born when her father was 42 years old. When Carrie was 10 his father passed away. He left her with a large estate that she can claim at the age when she should be one-third her father's age if he had been alive. How old will she be when she is able to claim the estate? : When Dad died Carrie was 10 and Dad was 52, using this point of reference: Let a = no. of yrs when C will Dad's projected age : 10 + a = (52+a) multiply both sides by 3 3(10+a) = 52 + a 30 + 3a = 52 + a 3a - a = 52 - 30 2a = 22 a = 11 yrs for this to be true then 10 + 11 = 21 yrs old when Carrie is rich

Travel_Word_Problems/507690: You and a friend each drive 63 km to the same destination. You travel at 89.7 km/h and your friend at 97 km/h. How long will your friend wait for you at the end of the trip? Answer in units of min I'm having problems solving this. What forumla do I use? 1 solutions Answer 340676 by ankor@dixie-net.com(15652)   on 2011-10-01 21:51:01 (Show Source): You can put this solution on YOUR website! You and a friend each drive 63 km to the same destination. You travel at 89.7 km/h and your friend at 97 km/h. How long will your friend wait for you at the end of the trip? Answer in units of min : Let w = time your friend waits for you Find the time required by each of you to go 63 km, ans will be in hrs, convert to min, mult by 60. : w = - w = .70234 - .64948 w = .05285 * 60 = 3.17 minutes

Equations/507595: Can you break down these word problems and show me how to work the solutions please. Thanks. I am also trying to work on them myself even though I am confuse 1) The perimeter of a triangle is 30. Since the longest side is one less than twice the shortest side and the third side is three more than the shortest side, what must be the length of the third side? 2) A bag of quarters and dimes is worthm in total $5.55. There are five less than three times as many dimes as quarters. How many of the coins must be dimes? 3) If 5 times a number (N) is less than 2 times that same number minus 9, what must be the value of the number? 4) If the width of a table is 4 feet shorter than the length. The table top is 96 square feet. Find the width. 1 solutions Answer 340674 by ankor@dixie-net.com(15652)   on 2011-10-01 21:38:15 (Show Source): You can put this solution on YOUR website! 1) The perimeter of a triangle is 30. Since the longest side is one less than twice the shortest side and the third side is three more than the shortest side, what must be the length of the third side? : let x = the length of the shortest side then (2x-1) = the length of the longest side and (x+3) = the length of the 3rd side The perimeter x + (2x-1) + (x+3) = 30 you should be able to solve this now : : 2) A bag of quarters and dimes is worth a total $5.55. .10d + .25q = 5.55 There are five less than three times as many dimes as quarters. q = 3d - 5 in the 1st equation, replace q with (3d-5) .10d + .25(3d-5) = 5.55 .10d + .75d - 1.25 = 5.55 .85d = 5.55 + 1.25 .85d = 6.80 d = d = 8 dimes Check this solution by finding the no. of quarters, then the total value : : 3) If 5 times a number (N) is less than 2 times that same number minus 9, what must be the value of the number? : 5n < 2n-9 5n - 2n < -9 3n < -9 n < n < -3 : : 4) If the width of a table is 4 feet shorter than the length. The table top is 96 square feet. Find the width. L = W + 4 the area L * W = 96 replace L with (W+4) and you have W(W+4) = 96 W^2 + 4W - 96 = 0; a quadratic equation Factors to (W+12)(W-8) = 0 The positive solution W = 8 ft is the width Check this solution by finding the Length, and the area

Numbers_Word_Problems/507610: if 4 is added to twice a number and this sum is multiplied by 2, the result is the same as if the number is multiplied by 3 and 4 is added to the product. what is the number? 1 solutions Answer 340664 by ankor@dixie-net.com(15652)   on 2011-10-01 20:28:06 (Show Source): You can put this solution on YOUR website! Let n = "the number" : Just write an equation for what it says. "if 4 is added to twice a number and this sum is multiplied by 2, the result is the same as if the number is multiplied by 3 and 4 is added to the product." : 2(2n + 4) = 3n + 4 : See if you can do this now.

Linear-systems/507422: Pure acid is to be added to a 10% acid solution to obtain 54L of a 20% acid solution. What amount of each should be used? 1 solutions Answer 340661 by ankor@dixie-net.com(15652)   on 2011-10-01 20:21:42 (Show Source): You can put this solution on YOUR website! Pure acid is to be added to a 10% acid solution to obtain 54L of a 20% acid solution. What amount of each should be used? : Let x = amt of pure acid required Since the resulting amt is to be 54L: (54-x) = amt of 10% acid required : A typical mixture equation : x + .10(54-x) = .20(54) x + 5.4 - .10x = 10.8 x - .1x = 10.8 - 5.4 .9x = 5.4 x = x = 6 L of pure acid to be combined with: 54-6 = 48 L of 10% solution

Age_Word_Problems/507570: If Kynlee is 32 and Ryder is 33 and their son is 17 years old, how old were they when they had him? 1 solutions Answer 340658 by ankor@dixie-net.com(15652)   on 2011-10-01 20:14:49 (Show Source): You can put this solution on YOUR website! Subtract 17 from each of their ages

Expressions-with-variables/507577: A cyclist rode the first 20 mile portion of his workout at a constant speed. For the 16 mile cooldown portion of his owrkout, he reduced his speed by 2 miles per hour. Each portion of the workout took the same time. Find the cyclist's speed during the first portio and find his peed during the cooldown portion. 1 solutions Answer 340655 by ankor@dixie-net.com(15652)   on 2011-10-01 20:12:01 (Show Source): You can put this solution on YOUR website! A cyclist rode the first 20 mile portion of his workout at a constant speed. For the 16 mile cooldown portion of his workout, he reduced his speed by 2 miles per hour. Each portion of the workout took the same time. Find the cyclist's speed during the first portion and find his speed during the cool down portion. : Let s = his speed for the 1st 20 mi then (s-2) = his speed for the last 16 mi : Write a time equation; time = dist/speed : initial time = cool-down time = cross multiply 20(s-2) = 16s 20s - 40 = 16s 20s - 16s = 40 4s = 40 s = s = 10 mph, his initial speed then 10 - 2 = 8 mph his cool-down speed ; : Check this by finding the actual times 20/10 = 2 hrs 16/8 = 2 hrs also

Volume/507445: A zorb is a large sphere inside a second sphere with the space between the spheres pumped full of air. There is a tunnel like opening so a person can crawl into the inner sphere. You are strapped in and sent down a zorbing hill. The Zorb you are riding in is approximately 7m in diameter. Find the EXACT volume of the zorb and then APPROXIMATE the volume using 3.14 for pie. If you can help me with this I would be forever grateful!!!! Thank you so much! I have tried and tried to figure it out and keep getting it wrong. 1 solutions Answer 340640 by ankor@dixie-net.com(15652)   on 2011-10-01 19:20:36 (Show Source): You can put this solution on YOUR website! A zorb is a large sphere inside a second sphere with the space between the spheres pumped full of air. There is a tunnel like opening so a person can crawl into the inner sphere. You are strapped in and sent down a zorbing hill. The Zorb you are riding in is approximately 7m in diameter. Find the EXACT volume of the zorb : When you strip all the nonsense from this problem, it is just asking to find the volume of a sphere with 7 m diameter, therefore a radius of 3.5 m V = * = 179.59438 cu/m : and then APPROXIMATE the volume using 3.14 for pie. V = * = 179.5 cu/m

Travel_Word_Problems/507597: Moe and Joe take a car trip. Moe drives at an average speed of 42 mph for the first hour and then they stop for gas for 10 minutes. After filling gas, Joe drives at an average speed of 28 mph for 40 minutes, and then the traffic clears and he gets to drive at an average speed of 60 mph for half hour. Find the average speed of the car on this trip. 1 solutions Answer 340637 by ankor@dixie-net.com(15652)   on 2011-10-01 19:07:50 (Show Source): You can put this solution on YOUR website! Moe and Joe take a car trip. Moe drives at an average speed of 42 mph for the first hour and then they stop for gas for 10 minutes. After filling gas, Joe drives at an average speed of 28 mph for 40 minutes, and then the traffic clears and he gets to drive at an average speed of 60 mph for half hour. Find the average speed of the car on this Find the total dist: 42 * 1 = 42 mi 28* = 18.67 mi 60 * .5 = 30 mi ------------------ total dist: 90.67 mi : Find the total time, in minutes 60 + 10 + 40 + 30 = 140 min Convert to hrs, = 2.33 hrs : Find the average speed = 39.9 mph is the average speed

Geometry_Word_Problems/507528: The number of inches in both the length and the width of a rectangle are prime numbers. The area of the rectangle is 391 square inches. What is the number of inches in the perimeter of the rectangle? 1 solutions Answer 340598 by ankor@dixie-net.com(15652)   on 2011-10-01 16:06:50 (Show Source): You can put this solution on YOUR website! The number of inches in both the length and the width of a rectangle are prime numbers. The area of the rectangle is 391 square inches. What is the number of inches in the perimeter of the rectangle? : prime factor 391: 17, 23 : 2(17) + 2(23) = 80 inches is the perimeter

Travel_Word_Problems/507497: A plane flew on a mission and returned to its base. It took fifteen minutes less time to get to its destination than it did to get back. The average speed on the trip out was 220 mph. The average speed on the way back was 200 mph. How long did the trip out take? 1 solutions Answer 340589 by ankor@dixie-net.com(15652)   on 2011-10-01 15:30:52 (Show Source): You can put this solution on YOUR website! A plane flew on a mission and returned to its base. It took fifteen minutes less time to get to its destination than it did to get back. The average speed on the trip out was 220 mph. The average speed on the way back was 200 mph. How long did the trip out take? : change 15 min to .25 hrs : Let t = time for trip out then (t+.25) = time for trip back : Write a distance equation (dist out and back are the same) : 220t = 200(t+.25) 220t - 200t + 50 220t - 200t = 50 20t = 50 t = 50/20 t = 2.5 hrs for the trip out ; : : Check this by finding the distances 220(2.5) = 550 mi 200(2.75) =550 mi; confirms our solution of t = 2.5