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Geometry_Word_Problems/494816: The area of a square is (16x^2 + 40x +25cm^2) what is x if the perimeter of the square is 52cm? 1 solutions Answer 335949 by ankor@dixie-net.com(15648)   on 2011-09-10 20:08:32 (Show Source): You can put this solution on YOUR website! The area of a square is (16x^2 + 40x +25cm^2) what is x if the perimeter of the square is 52cm? : P = 52 therefore one side of the square (s) s = 52/4 s = 13 cm : A = s^2 therefore A = 13^2 A = 169 sq/cm : So we have: 16x^2 + 40x + 25 = 169 16x^2 + 40x + 25 - 169 = 0 16x^2 + 40x - 144 = 0 Simplify, divide by 8 2x^2 + 5x - 18 = 0 Factors to (2x+9)(x-2) = 0 positive solution x = 2 ; ; See if that checks out, replace x with 2 in the given expression 16(2^2) + 40(2) + 25 64 + 80 + 25 = 169

Rate-of-work-word-problems/495049: a water tank can be filled in 8 minutes and emptied in 9 minutes. if the drain is accidentally left open when the tank is filled, how long does it take to fill the tank? 1 solutions Answer 335932 by ankor@dixie-net.com(15648)   on 2011-09-10 18:46:59 (Show Source): You can put this solution on YOUR website! a water tank can be filled in 8 minutes and emptied in 9 minutes. if the drain is accidentally left open when the tank is filled, how long does it take to fill the tank? : Let t = time in minutes empty the tank with both valves open let an empty tank = 1 : - = 1 multiply by 72 to clear the denominators, results: 9t - 8t = 72 t = 72 minutes

Exponential-and-logarithmic-functions/494965: Please help me with this problem: (x-3)raised to the fraction power of 2/3 =25 1 solutions Answer 335923 by ankor@dixie-net.com(15648)   on 2011-09-10 18:19:15 (Show Source): You can put this solution on YOUR website! Please help me with this problem: (x-3)raised to the fraction power of 2/3 =25 (x-3)^(2/3) = 25 We can write it as (x-3)^(2/3) = 5^2 Find the square root of both sides and you have (x-3)^(1/3) = 5 Cube both sides x - 3 = 5^3 x - 3 = 125 x = 125 + 3 x = 128 ; : : You can check this on a calc: enter (128-3)^(2/3), the result: 25!

Equations/494708: if a square have the sides x+4, and a diagonal line of x+8 what is the value of x?(how would you set that problem up) 1 solutions Answer 335880 by ankor@dixie-net.com(15648)   on 2011-09-10 15:44:27 (Show Source): You can put this solution on YOUR website! if a square have the sides x+4, and a diagonal line of x+8 what is the value of x? (how would you set that problem up) : Using pythag c^2 = a^2 + b^2 both a and b = x+4) and c = (x+8) so we have (x+8)^2 = 2(x+4)^2 FOIL x^2 + 16x + 64 = 2(x^2 +8x + 16) x^2 + 16x + 64 = 2x^2 + 16x + 32 Combine like terms on the right 0 = 2x^2 - x^2 + 16x - 16x + 32 - 64 x^2 - 32 = 0 x^2 = 32 x = x = is the value of x : :

Travel_Word_Problems/494812: a train and a car are travelling in the same direction towards a bridge. the car has a head start of 43 metres. For every 3 metres the car travels, the train travels 5 metres. How far does the train have to travel to reach the bridge first? 1 solutions Answer 335877 by ankor@dixie-net.com(15648)   on 2011-09-10 15:24:41 (Show Source): You can put this solution on YOUR website! a train and a car are travelling in the same direction towards a bridge. the car has a head start of 43 metres. For every 3 metres the car travels, the train travels 5 metres. How far does the train have to travel to reach the bridge first? : Let d = distance traveled by the train : Write a time equation, time = dist/speed : = cross multiply 5d = 3(d+43) 5d = 3d + 129 5d - 2d = 129 2d = 129 d = d = 64.5 meters, the car and the train will be at the same point therefore At 65 meters is the bridge and the train is first

Linear_Algebra/494682: Hi! I am currently enrolled in an Algebra II class, and I am having trouble with figuring out how to solve an equation, due to an absence regarding sports. The problems are as follows: Solve for x. Assume that a,b,c, and d represent positive real numbers. 1. |ax|-b=c 2. |cx-d|=ab 3. a|bx-c|=d Thanking you in advance for your help. 1 solutions Answer 335758 by ankor@dixie-net.com(15648)   on 2011-09-09 21:44:17 (Show Source): You can put this solution on YOUR website! Solve for x. Assume that a,b,c, and d represent positive real numbers. 1. |ax|- b = c |ax| = (b + c) two solutions after you remove the abs ax = (b+c) x = and x = 2. |cx-d| = ab cx - d = ab cx = ab + d x = and cx - d = -ab cx = -ab + d x = 3. a|bx-c|=d |bx-c| = bx = +c ; x = and bx - c = bx = +c ; x =

Quadratic_Equations/494398: I need help fast. What would us students do without this site and without you all to help us? Thank you all so much. Using operations of order(PEMDAS)using multiplication, how do I solve these problems? -1(-3)^2, -1*3^2. 1 solutions Answer 335750 by ankor@dixie-net.com(15648)   on 2011-09-09 20:16:00 (Show Source): You can put this solution on YOUR website! -1(-3)^2, -1*3^2. Do the exponents (a number squared is always positive) -1*9 = -9 and -1*9 = -9

test/494578: Can someone please help me? If a stone is tossed from the top of a 230 meter building, the height of the stone as a function of time is given by h(t) = -9.8t2 – 10t + 230, where t is in seconds, and height is in meters. After how many seconds will the stone hit the ground? Round to the nearest hundredth’s place; include units in your answer. 1 solutions Answer 335749 by ankor@dixie-net.com(15648)   on 2011-09-09 20:10:31 (Show Source): You can put this solution on YOUR website! If a stone is tossed from the top of a 230 meter building, the height of the stone as a function of time is given by h(t) = -9.8t2 – 10t + 230, where t is in seconds, and height is in meters. After how many seconds will the stone hit the ground? Round to the nearest hundredth’s place; include units in your answer. : When the stone hits the ground the height is zero, hence h(t) = 0, so write the equation: -9.8t^2 - 10t + 230 = 0 You have to use the quadratic formula to solve this problem In this problem: x=t; a=-9.8; b=-10; c=230 : : I'll let you do the rest of the math here, the positive solution is the no. of seconds for the stone to hit the ground

Rate-of-work-word-problems/494483: George and Stanley are builfing a stone fence. They can complete the fence together in 11hrs. George can complete it in 33 hrs working alone. If they work together for 6 hours, then stanley goes to the pub for a pint, How much longer must George work to finish the fence? 1 solutions Answer 335740 by ankor@dixie-net.com(15648)   on 2011-09-09 18:57:46 (Show Source): You can put this solution on YOUR website! George and Stanley are builfing a stone fence. They can complete the fence together in 11hrs. George can complete it in 33 hrs working alone. : Let s = Stanley's working time alone let the completed job = 1 : A shared work equation to find Stanley's working time alone + = 1 multiply by 33s, results: 11s + 33(11) = 33s 363 = 33s - 11s 363 = 22s s = s = 16.5 hrs is Stanley's working time alone : : If they work together for 6 hours, then Stanley goes to the pub for a pint, How much longer must George work to finish the fence? : let g = length of time George works after Stanley leaves then (g + 6) = Georges total working time A shared work equation for this scenario + = 1 Multiply by 544.5 (33*16.5), to clear the denominators, results 16.5(g+6) + 33(6) = 544.5 16.5g + 99 + 198 = 544.5 16.5g + 297 = 544.5 16.5g = 544.5 - 297 16.5g = 247.5 g = g = 15 more hrs for thirsty George :

Numbers_Word_Problems/494377: find a four-digit number such that this 4-digit number equal to three times of a three-digit number (which is from by delete the leading of the 4-digit number) diminished by 42. 1 solutions Answer 335643 by ankor@dixie-net.com(15648)   on 2011-09-09 09:26:37 (Show Source): You can put this solution on YOUR website! find a four-digit number such that this 4-digit number equal to three times of a three-digit number (which is from by delete the leading of the 4-digit number) diminished by 42. : Let n = the 3 digit portion of the number then 1000+n = 4 digit number : A simple equation for this 1000 + n = 3n - 42 1000 = 3n - n 1000 + 42 = 2n 1042 = 2n n = n = 521 is the 3 digit portion then 1521 is the 4 digit number : : : Note that the 1st digit has to be 1, for example If it were 2 (or greater) 2000 + n = 3n - 42 2n = 2042 n = 1021, not a 3 digit number

Expressions-with-variables/493830: what is the value of the expression -3x^2y+4x if x=-4 and y=2 ive had a problem with this question but ive only gotten answers like 80 and 272 but they are wrong help please 1 solutions Answer 335590 by ankor@dixie-net.com(15648)   on 2011-09-08 22:17:46 (Show Source): You can put this solution on YOUR website! -3x^2y + 4x if x=-4, y=2 : -3(-4^2)*2 + 4(-4) -3(16)*2 - 16 -48*2 - 16 -96 - 16 = -112

Linear_Equations_And_Systems_Word_Problems/493544: I would like to compare two phone plans from verizon using a graph of a system of linear equations. Plan A includes 450 minutes for $40.00 per month plus a charge of .45 per minute over 450. Plan B includes 900 minutes for $60.00 per month plus a charge of .40 per minute over 900. Solve for a user who averages 1250 minutes per month. Is there a solution set where the points merge? Thanks for taking a look :) 1 solutions Answer 335440 by ankor@dixie-net.com(15648)   on 2011-09-08 13:51:41 (Show Source): You can put this solution on YOUR website! Plan A includes 450 minutes for $40.00 per month plus a charge of .45 per minute over 450. Plan B includes 900 minutes for $60.00 per month plus a charge of .40 per minute over 900. Solve for a user who averages 1250 minutes per month. Plan A C = .45(1250-450) + 40 C = .45(800) + 40 C = 360 + 40 C = $400 Plan B C = .40(1250-900) + 60 C = .40(350) + 60 C = 140 + 60 C = $200 : Is there a solution set where the points merge? This would occur when Plan A cost = $60, The minutes would be < 900 so the 2nd plan will equal $60 : .45(m-450) + 40 = 60 .45m - 202.5 = 60 - 40 .45m - 202.5 = 20 .45m = 20 + 202.5 .45m = 222.5 m = m ~ 494 minutes Plan A is very close to the same cost as Plan B (the 1st 450 min cost only $40. the next 44 min; .45(44) = $19.80 for a total of $58.80 : You can see that at 495 minutes, Plan A would be slightly more, and continue to be more thereafter. : C = .45(495 - 450) + 40 C = .45(45) + 40 C = 20.25 + 40 C = $60.25 : Note that plan B remains at $60 all the way up to 900 minutes : : Did this make sense to you?

Travel_Word_Problems/493396: a boy on his bicycle intends to arrive at a certain time to a town that is 30 km away from his home . after riding 10 km, he rested for half an hour and as a result he was obliged to ride the rest of the trip 2km/hr faster . what was his original speed ? 1 solutions Answer 335383 by ankor@dixie-net.com(15648)   on 2011-09-08 08:24:05 (Show Source): You can put this solution on YOUR website! a boy on his bicycle intends to arrive at a certain time to a town that is 30 km away from his home . after riding 10 km, he rested for half an hour and as a result he was obliged to ride the rest of the trip 2km/hr faster . what was his original speed? : Let s = his original speed then (s+2) = his faster speed : Write a time equation; Time = dist/speed : Required time = faster time + half an hr = + .5 multiply by s(s+2) s(s+2)* = s(s+2)* + .5s(s+2) : Cancel the denominators 30(s+2) = 30s + .5s^2 + 1s 30s + 60 = 30s + .5s^2 + s : Arrange as quadratic equation on the right 0 =.5s^2 + 30s - 30s + s - 60 .5s^2 + s - 60 = 0 : multiply by 2 (make the coefficient of s^2 = 1, easier to factor) s^2 + 2s - 120 = 0 : Factors to (s+12)(s-10) = 0 : the positive solution s = 10 km/hr is his original speed ; : : Check this by finding the actual time for each scenario 30/10 = 3hrs 30/12 = 2.5 hrs + half hr rest = 3hrs

Numbers_Word_Problems/493208: Can I have help with this question? "Find two consecutive odd integers such that three times the first plus two times the second is 39." I'm honestly confused, it just doesn't make sense to me. If possible, can you please explain the steps you used to get the answer? 1 solutions Answer 335317 by ankor@dixie-net.com(15648)   on 2011-09-07 20:10:50 (Show Source): You can put this solution on YOUR website! Find two consecutive odd integers such that three times the first plus two times the second is 39. : Let the two consecutive odd integers be: x, (x+2) : Write an equation for exactly what it says : 3x + 2(x+2) = 39 3x + 2x + 4 = 39 5x = 39 - 4 5x = 35 x = 35/5 x = 7 is the 1st odd integer and obviously, 9 is the 2nd odd integer : : Check it in the original statement 3(7) + 2(9) = 39 : : That wasn't so hard, was it. Are you unconfused about this now?

Money_Word_Problems/492885: PLEASE CAN SOMEONE HELP ME WITH THIS, I'M HAVING A HARD TIME UNDERSTANDING FINANCE QUESTIONS. CAN YOU SHOW ME HOW TO DO THIS STEP BY STEP. I'D REALLY APPRECIATE IT. HAVE A BLESS DAY!! FIND THE ENDING BALANCE IN AN ACCOUNT THAT OPENS WITH $5,000, EARNS 4.5% INTEREST COMPOUNDED QUARTERLY, AND IS HELD FOR 20 YEARS. (ROUND YOUR ANSWER TO THE NEAREST CENT). 1 solutions Answer 335210 by ankor@dixie-net.com(15648)   on 2011-09-07 13:21:58 (Show Source): You can put this solution on YOUR website! FIND THE ENDING BALANCE IN AN ACCOUNT THAT OPENS WITH $5,000, EARNS 4.5% INTEREST COMPOUNDED QUARTERLY, AND IS HELD FOR 20 YEAR : You should know the compound interest formula: A = P*(1+)^nt Where A = resulting amt after t yrs P = initial amt r = interest rate in decimals n = no. of time compounded per yr t = time in yrs : In your problem we have P = 5000 r = .045 n = 4 t = 20 : A = 5000(1+)^(4*20) A = 5000(1+.01125)^80 A = 5000(1.01125)^80 using a calc find 1.01125^80 A = 5000*2.447274977 A = $12,236.37

Rate-of-work-word-problems/492733: Doy and his son can do a job in 4 1/2 days, After they have worked for 3 days, Doy got sick and the son finished the task in 6 more days. How many days each required to do the entire task? 1 solutions Answer 335193 by ankor@dixie-net.com(15648)   on 2011-09-07 10:24:33 (Show Source): You can put this solution on YOUR website! Doy and his son can do a job in 4 1/2 days, After they have worked for 3 days, Doy got sick and the son finished the task in 6 more days. How many days each required to do the entire task? : Let d = D's working time alone to do the job Let s = son's working time to do it Let the completed job = 1 : "Doy and his son can do a job in 4 1/2 days," therefore + = 1 : From the given information, we know that the son worked a total 9 days : + = 1 : Multiply the 1st equation by 2, use elimination here + = 2 + = 1 ----------------------------subtraction eliminates s find d = 1 multiply both sides by d d = 6 days for D to do the job alone : Find s + = 1 multiply by 6s, results: 3s + 6(9) = 6s 54 = 6s - 3s 54 = 3s s = s = 18 days for the son to do the job alone : : We can check these solutions in the 1st equation + = .75 + .25 = 1

Geometry_Word_Problems/492750: Please help me solve this problem, One side of rectangle is 1 meter less than the length of the diagonal.If the area is 60 meter squared, what are its dimensions? 1 solutions Answer 335191 by ankor@dixie-net.com(15648)   on 2011-09-07 10:08:20 (Show Source): You can put this solution on YOUR website! One side of rectangle is 1 meter less than the length of the diagonal. If the area is 60 meter squared, what are its dimensions? : Let L = the length of the rectangle Let W = the width of the rectangle : I says,"the area is 60 meter squared,", therefore: L * W = 60 then L = : "One side of rectangle is 1 meter less than the length of the diagonal" Diagonal = W + 1 Using pythag: W + 1 = Replace L with 60/W W + 1 = Square both sides (W+1)^2 = + W^2 FOIL W^2 + 2W + 2 = + W^2 W^2 - W^2 + 2W + 2 = 2W + 2 = Multiply both sides by W^2 2W^3 + 2W^2 = 3600 2W^3 + 2W^2 - 3600 = 0 simplify, divide by 2 W^3 + W^2 - 1800 = 0 : Plot this equation on your graphing calc, should look like this: you can see W ~ 11.8 meters is the width and L = L ~ 5.1 meters is the length ; : See if that checks out by finding the diagonal d = d = 12.85 which is about 1 inch longer than the width

test/492014: To get a C in history, Nandan must average 74 on four tests. Scores on the first three tests were 69, 75, and 60. What is the lowest score that Nandan can get on the last test and still receive a C? Please help me!!!!!!Thanks a lot 1 solutions Answer 335096 by ankor@dixie-net.com(15648)   on 2011-09-06 22:03:26 (Show Source): You can put this solution on YOUR website! To get a C in history, Nandan must average 74 on four tests. Scores on the first three tests were 69, 75, and 60. What is the lowest score that Nandan can get on the last test and still receive a C? : Let x = the lowest he can get on the 4th test and have a 74 average : = 74 = 74 Multiply both sides by 4 204 + x = 4(74) 204 + x = 296 x = 296 - 204 x = 92 is the grade he needs : : Check this = 74

Equations/492020: when 4 is added to a number and the result divided by 5,the final result is 44 less than the original number. Find the number ? 1 solutions Answer 335094 by ankor@dixie-net.com(15648)   on 2011-09-06 21:54:17 (Show Source): You can put this solution on YOUR website! when 4 is added to a number and the result divided by 5, the final result is 44 less than the original number. Find the number ? : Write an equation for exactly what it says: = n - 44 Multiply both sides by 5, resulting in: 4 + n = 5(n-44) 4 + n = 5n - 220 4 + 220 = 5n - n 224 = 4n n = n = 56 : : Check solution in original equation = 56 - 44 = 12; confirms our solution

Rectangles/491943: A picture measure 7 1/2 inches by 5 inches is a a large so that the larger side become 18 inches. What does the shorter side become? With a solution please. =) 1 solutions Answer 335080 by ankor@dixie-net.com(15648)   on 2011-09-06 20:59:02 (Show Source): You can put this solution on YOUR website! Assume you mean: A picture measure 7 1/2 inches by 5 inches is enlarged so that the larger side become 18 inches. What does the shorter side become? : Let w = the enlarged shorter side : Write a ratio equation: = cross multiply 7.5w = 5 * 18 7.5w = 90 w = w = 12 inches is the enlarged shorter side

Proportions/492519: I got -63/16 as an answer but i don't know how to check it. the problem is, y/9=-7/16! HELP! thanks a billion :) 1 solutions Answer 335076 by ankor@dixie-net.com(15648)   on 2011-09-06 20:49:41 (Show Source): You can put this solution on YOUR website! = cross multiply 16y = -7*9 16y = -63 Substitute your answer for y 16() = -63 cancel 16 and you have: -63 = -63, confirms your solution

Triangles/492379: how would I find the area of an object that has uneven sides ? 1 solutions Answer 335073 by ankor@dixie-net.com(15648)   on 2011-09-06 20:45:19 (Show Source): You can put this solution on YOUR website! Divide the area into triangles and rectangles, using the dimensions given, find the area of each of those and add them up.

Travel_Word_Problems/492398: John will be x in 7 years. How old was he last year? 1 solutions Answer 335071 by ankor@dixie-net.com(15648)   on 2011-09-06 20:43:11 (Show Source): You can put this solution on YOUR website! How about x - 8?

Reduction-of-unit-multipliers/492405: For my homework i have to convert 38 inches to miles using two unit multipliers. I thought of going from inches to feet to miles. So far I have set the problem up as 38in./1 * (blank)/1 in. As you can see I'm not sure what goes above 1 inch or how to finish the problem. 1 solutions Answer 335069 by ankor@dixie-net.com(15648)   on 2011-09-06 20:41:07 (Show Source): You can put this solution on YOUR website! = .000599747 mi

Numbers_Word_Problems/492431: each of my five digits is 1 more than the digit to its left. the sum of my digits is 20. what number am i? 1 solutions Answer 335066 by ankor@dixie-net.com(15648)   on 2011-09-06 20:35:28 (Show Source): You can put this solution on YOUR website! each of my five digits is 1 more than the digit to its left. the sum of my digits is 20. what number am i? : Let n = the number on the far left then (n+1) = the 2nd number (n+2) = the 3rd number (n+3) = the 4th number (n+4) = the 5 number : n + (n+1) + (n+2) + (n+3) + (n+4) = 20 5n + 10 = 20 5n = 20 -10 5n = 10 n = 2, : The number: 23456

Equations/492278: Hi,im having problems with sloving equations with word problems.heres an example of one.A farmer is testing the strength of his new mule.The farmer wants to know how many boughs of hay the mule can pull,along with the cart and the farmer on board.The farmer knows that the mule can only pull 1000 pounds at one time.If the farmer wieghs 160 pounds,the cart wieghs 80 pounds,and each bough of hay wiegh 65 pounds,how many boughs can the mule pull with the cart and farmer on board??? please answer back asap im extremlyy confused. >.< 1 solutions Answer 335062 by ankor@dixie-net.com(15648)   on 2011-09-06 20:27:35 (Show Source): You can put this solution on YOUR website! A farmer is testing the strength of his new mule.The farmer wants to know how many boughs of hay the mule can pull,along with the cart and the farmer on board. The farmer knows that the mule can only pull 1000 pounds at one time. If the farmer wieghs 160 pounds,the cart wieghs 80 pounds,and each bough of hay wiegh 65 pounds,how many boughs can the mule pull with the cart and farmer on board?? : Let b = no. of boughs of hay he can haul : hay + man + cart = 1000 65b + 160 + 80 = 1000 65b + 240 = 1000 65b = 1000 - 240 65b = 760 b = b ~ 11 boughs of hay: : : See if this adds up to 1000 or less 65 * 11 = 715 farmer; = 160 cart lb:= 80 --------------- total: = 955 lb, you can see if you added one more bough, it would exceed 1000 lb

Numbers_Word_Problems/491814: i am a 3 digit number divisible by 3.my tens digit is 3 times as great as my hundreds digit and the sum of my digits is 15. if you reverse my digits i am divisible by 6 and 3...... what number am i? 1 solutions Answer 335024 by ankor@dixie-net.com(15648)   on 2011-09-06 19:13:06 (Show Source): You can put this solution on YOUR website! i am a 3 digit number divisible by 3. 100a + 10b + c : my tens digit is 3 times as great as my hundreds digit b = 3a, from this we know a = 1, 2, 3, then b = 3, 6, 9 : and the sum of my digits is 15. a + b + c = 15 : if you reverse my digits i am divisible by 6 and 3 100c + 10b + a : this is a logic problem, an equation won't help us here : From the given information b = 3a, and the sum of the 3 digits = 15, we have: 1 3 ___; three single digits can't add up to 15 2 6 _7_; this has to be the number 3 9 _3_; reverse number is not different : Check for division by 3 and 6 267/3 = 89 762/6 = 127 : 267 is the number

Trigonometry-basics/492115: a circle has a radius of 7 kilometers. A sector in this circle has an arc length of 18.2 kilometers. Find the centeral angle θ, in degrees, for this sector 1 solutions Answer 334940 by ankor@dixie-net.com(15648)   on 2011-09-06 15:05:00 (Show Source): You can put this solution on YOUR website! a circle has a radius of 7 kilometers. A sector in this circle has an arc length of 18.2 kilometers. Find the centeral angle θ, in degrees, for this sector : A = * 360 A = 149 degrees

Mixture_Word_Problems/491710: The formula occurs in the indicated application. Solve for the specified variable. S = p/(q + p(1 − q)) for p (Amdahl's law for supercomputers) 1 solutions Answer 334929 by ankor@dixie-net.com(15648)   on 2011-09-06 13:22:01 (Show Source): You can put this solution on YOUR website! Solve for the specified variable. S = solve for p S = ; multiplied what's inside the bracket : S(q + p - pq) = p; divided both sides by (q+p-pq) : q + p - pq = ; divided both sides by S : q + p - pq - = 0; subtract from both sides : p - pq - = -q; subtract q from both sides : p(1 - q - ) = -q; Factor out p : p = ; divide both sides by (1 - q - (1/S))

Equations/491589: 5+3(10-2)+1 =17 My moms says its incorrect and the answer is 30,But she doesnt know how to show me step by step....can you help 1 solutions Answer 334913 by ankor@dixie-net.com(15648)   on 2011-09-06 12:36:14 (Show Source): You can put this solution on YOUR website! 5 + 3(10-2) + 1 = 17 your Mom is right, (as usual) do the math inside the brackets first 5 + 3(8) + 1 multiply what's inside the brackets by 3 5 + 24 + 1 = 30

Travel_Word_Problems/491409: A plane flying the 3458-mile trip from New York City to London, has a 50 mph tail wind. The flight's point of no return is the point at which the flight time required to return to New York is the same as the time required to continue to London. If the speed of the plane in still air is 360 mph, how far is New York from the point of no return? 1 solutions Answer 334882 by ankor@dixie-net.com(15648)   on 2011-09-06 09:35:38 (Show Source): You can put this solution on YOUR website! A plane flying the 3458-mile trip from New York City to London, has a 50 mph tail wind. The flight's point of no return is the point at which the flight time required to return to New York is the same as the time required to continue to London. If the speed of the plane in still air is 360 mph, how far is New York from the point of no return? : Let p = dist from N.Y of this point then (3458-p) = dist from London of this point : 360 + 50 = 410 mph effective speed going east (towards London) 360 - 50 = 310 mph effective speed going west (returning to N.Y. : Write a time equation; time = dist/speed : return time = continue time = Cross multiply 410p = 310(3458-p) 410p = 1071980 - 310p 310p + 410p = 1071980 720p = 1071980 p = p = 1488.86 mi from N.Y. is the point of no return. : : Check solution by finding the times, (3458 - 1488.86 = 1969.14 mi, dist to London) = 4.8 = 4.8 hrs, confirms our solution