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Equations/490590: how do I subtract: (3x^2-2x+5)-(2x^2-5x1) Thanks:) 1 solutions Answer 334230 by ankor@dixie-net.com(15649)   on 2011-09-03 17:10:38 (Show Source): You can put this solution on YOUR website! subtract: (3x^2-2x+5)-(2x^2-5x1) perhaps you mean subtract: (3x^2-2x+5)-(2x^2-5x+1) : Remember the rule, when you remove brackets, a minus outside the brackets changes the signs inside the bracket ; 3x^2 - 2x + 5 - 2x^2 + 5x - 1 group the like terms 3x^2 - 2x^2 - 2x + 5x + 5 - 1 do the math x^2 + 3x + 4

Numbers_Word_Problems/490489: how would you write ten times the difference of 6 and a number yields 190 1 solutions Answer 334228 by ankor@dixie-net.com(15649)   on 2011-09-03 17:04:08 (Show Source): You can put this solution on YOUR website! write ten times the difference of 6 and a number yields 190 A simple equation 10(n - 6) = 190 10n - 60 = 190 10n = 190 + 60 10n = 250 n = 25 : : Check: 10(25-6) = 190

Geometry_Word_Problems/490575: A rectangular garden bounded on one side by a river is to be fenced on the other three sides. Fencing material for the side parallel to the river costs $30 per foot, and material for the other two sides costs $10 per foot. What are the dimensions of the garden of largest possible area if $1200 is to be spent for fencing material? 1 solutions Answer 334224 by ankor@dixie-net.com(15649)   on 2011-09-03 16:55:05 (Show Source): You can put this solution on YOUR website! A rectangular garden bounded on one side by a river is to be fenced on the other three sides. Fencing material for the side parallel to the river costs $30 per foot, and material for the other two sides costs $10 per foot. What are the dimensions of the garden of largest possible area if $1200 is to be spent for fencing material? : the total cost for three fenced sides 30L + 10(2W) = 1200 30L + 20W = 1200 simplify divide by 10 3L + 2W = 120 2W = 120 - 3L W = W = (60-1.5L) : A = L * W replace W A = L(60-1.5L) A = -1.5L^2 + 60L to find max area, find the axis of symmetry; x = -b/(2a) L = L = L = + 20 ft is the length Find the width W = 60 - 1.5(20) W = 30 ft the width then max area for $1200, 20 by 30 ft : : Check this finding the cost for the perimeter with these dimensions 30(20) + 10*2(30) = 600 + 600 = 1200

Circles/490553: A landscape architect used the entire length of an 80-foot rope to lay out a flower bed in the shape of a square. in another area, he used the entire length of the same rope to lay out a second flower bed in the shape of a circle. The perimeter of the square is 80 feet. The circumference of the circle is 80 feet. How many square feet greater is the area of one flower bed than the other? ( use 3.14 for pie) * if possible could you please explain how you got your answer , i couldnt solve this problem for hours! 1 solutions Answer 334201 by ankor@dixie-net.com(15649)   on 2011-09-03 15:29:15 (Show Source): You can put this solution on YOUR website! A landscape architect used the entire length of an 80-foot rope to lay out a flower bed in the shape of a square. in another area, he used the entire length of the same rope to lay out a second flower bed in the shape of a circle. The perimeter of the square is 80 feet. The circumference of the circle is 80 feet. How many square feet greater is the area of one flower bed than the other? ( use 3.14 for pie) : A square with a perimeter of 80 ft, one side: 80/4 = 20 ft Area = 20^2 A = 400 sq/ft : A circle with a circumference of 80 ft, find r C = 2*3.14*r = 80 6.28r = 80 r = r ~ 12.74 ft is the radius Find the area A = A = 3.14*12.74^2 A = 509.55 sq/ft : Difference 509.55 400.00 ------ 109.55 sq/ft difference

Miscellaneous_Word_Problems/490664: Hi, can someone help please? The area of a rectangular athletic field is represented by the expression 13z^6+5z^3+12z square meters. Write an algebraic expression to represent one possible set of dimensions (in the sense “length times width”) of the athletic field. Include correct units with your solution. 1 solutions Answer 334199 by ankor@dixie-net.com(15649)   on 2011-09-03 15:14:54 (Show Source): You can put this solution on YOUR website! The area of a rectangular athletic field is represented by the expression 13z^6+5z^3+12z square meters. Write an algebraic expression to represent one possible set of dimensions (in the sense “length times width”) of the athletic field. : 13z^6 + 5z^3 + 12z Factor out z A = z(13z^5 + 5z^2 + 12) then 13z^5 + 5z^2 + 12 = Length in meter and z = width in meters

Volume/490573: Consider a rectangular box with a volume of 300 cubic centimeters. Suppose that the base is a rectangle with sides x centimeters and 3x centimeters. Let h(x) give the height of the box in centimeters and let A(x)be the total area of the six sides of the box. Find h(x) and A(x). 1 solutions Answer 334197 by ankor@dixie-net.com(15649)   on 2011-09-03 15:07:09 (Show Source): You can put this solution on YOUR website! Consider a rectangular box with a volume of 300 cubic centimeters. Suppose that the base is a rectangle with sides x centimeters and 3x centimeters. Let h(x) give the height of the box in centimeters and let A(x)be the total area of the six sides of the box. Find h(x) and A(x). : Using the given volume, find the h in terms of x L * W * h = 300 3x * x * h = 300 3x^2h = 300 divide both sides by 3 x^2h = 100 divide both sides by x^2 h(x) = : Area of the sides A = 2(L*W) + 2(L*h) + 2(W*h) L=3x; W=x A = 2(3x*x) + 2(3x*h) + 2(x*h) A = 6x^2 + 6xh + 2xh A = 6x^2 + 8xh Replace h with A = 6x^2 + 8x* A(x) = 6x^2 +

Equations/490504: Find the value of C such that the graph of 3x+c=5y has an intercept of (-4,0). 1 solutions Answer 334188 by ankor@dixie-net.com(15649)   on 2011-09-03 13:29:53 (Show Source): You can put this solution on YOUR website! Find the value of C such that the graph of 3x+c=5y has an intercept of (-4,0). : 3x + c = 5y substitute for x and y, -4 and 0 3(-4) + c = 5(0) -12 + c = 0 c = +12

Exponents/490262: I don't even understand this let alone know how to answer it, could someone please explain? it would be really appreciated. The following is an exponential relationship between unemployment rate, U, and inflation rate, I depicted by the function I = 24e^(-0.3U) a. Sketch a graph of this function, for domain 0 ≤ U ≤ 10 b. Rearrange the formula for the above function to make U the subject. 1 solutions Answer 334187 by ankor@dixie-net.com(15649)   on 2011-09-03 13:20:54 (Show Source): You can put this solution on YOUR website! The following is an exponential relationship between unemployment rate, U, and inflation rate, I depicted by the function I = 24e^(-0.3U) a. Sketch a graph of this function, for domain 0 ≤ U ≤ 10 Rewrite the given equation using x & y, more understandable for graphing it y = 24e^(-.3x) They want us to plots this for x=0 to x=10, using a calc, substitute values for x and find y using the given equations, round to the nearest 10th : x | y ------- 0| 24;;; y = 24*e^(-.3*0)" 1| 17.8; y = 24*e^(-.3*1) 2| 13.2; y = 24*e^(-.3*2) 4| 7.2;; y = 24*e^(-.3*4) 6| 4.0;; y = 24*e^(-.3*6) 8| 2.2;; y = 24*e^(-.3*8) 10| 1.2;; y = 24*3^(-.3*10) : Plot these x/y points, it should look like this: : : b. Rearrange the formula for the above function to make U the subject. I = 24*e^(-.3u) divide both sides by 24, and write it: = Find the natural log of both sides = using the log equiv of exponents = the ln of e is 1, so we can write it; -.3u = divide both sides by -.3 u = * or using decimals we can write it u =

Rate-of-work-word-problems/490214: A can do a work in 36 days, B can do the work in 72 days and C can do the work in 78 days. The three take turns in working, i.e. A works on the first day, B works on the second day, C on the third day and so on. Which day will they finish the work? 1 solutions Answer 334075 by ankor@dixie-net.com(15649)   on 2011-09-02 21:05:07 (Show Source): You can put this solution on YOUR website! A can do a work in 36 days, B can do the work in 72 days and C can do the work in 78 days. The three take turns in working, i.e. A works on the first day, B works on the second day, C on the third day and so on. Which day will they finish the work? : Let d = the no. of days for the three men to do the work Let the completed job = 1 : + + = 1 Multiply by 2808 to clear the denominators 78(d) + 39(d) + 36(d) = 2808 26d + 13d + 12d = 2808 51d = 2808 d = d = 55.06, therefore completion will occur on the 56th day

Miscellaneous_Word_Problems/490203: A man can make 15 boxes in 10 minutes. How many boxes can 5 men make in 2 minutes? 1 solutions Answer 334001 by ankor@dixie-net.com(15649)   on 2011-09-02 15:49:59 (Show Source): You can put this solution on YOUR website! A man can make 15 boxes in 10 minutes. How many boxes can 5 men make in 2 minutes? : Find how many minutes for one man to make 1 box = .6667 min/per box : = 15 boxes also

logarithm/489711: 1+(4/3)log(base x-3) 4 = 11/3 base= x-3 this is soo confusing, i spent so long but i just don't get it =(. please help ! 1 solutions Answer 333773 by ankor@dixie-net.com(15649)   on 2011-09-01 14:10:54 (Show Source): You can put this solution on YOUR website! 1+log(basex-3)(4) = Simplify by just using basic algebra subtract 1 from both sides log(basex-3)(4) = : log(basex-3)(4) = : multiply both sides by 3 4log(base x-3)(4) = 8 : divide both sides by 4 log(base x-3)(4) = 2 : Write the exponent equiv of logs (x-3)^2 = 4 : FOIL(x-3)(x-3) x^2 - 6x + 9 = 4 : Subtract 4 from both sides x^2 - 6x + 5 = 0 : Factors to (x-1)(x-5) = 0 : Two solutions x = 1, not a solution, can't have a base of a neg number x = 5, this is the valid solution : : see if it works in the original problem 1+log(base5-3)(4) = 1+log(base2)(4) = simplify using the same rules we did above. log(base2)(4) = log(base2)(4) = 4log(base2)(4) = 8 log(base2)(4^4) = 8 log(base2)(256) = 8 exponent equiv 2^8 = 256, equality reigns

Rate-of-work-word-problems/489531: The fill pipe for a tank can fill the tank in 4 hours, and the drain pipe can drain it in 2 hours. If both pipes are accidentally opened, how long will it take to empty a half-filled tank? 1 solutions Answer 333764 by ankor@dixie-net.com(15649)   on 2011-09-01 13:37:00 (Show Source): You can put this solution on YOUR website! The fill pipe for a tank can fill the tank in 4 hours, and the drain pipe can drain it in 2 hours. If both pipes are accidentally opened, how long will it take to empty a half-filled tank? : Let t = time to empty the tank with both valves open Let an empty tank = 1 then a half empty tank = .5 : - = .5 multiply 4, results: 2t - t = 4(.5) t = 2 hrs to empty the tank

Rate-of-work-word-problems/489529: It takes my father 3 hours to plow our cornfield with his new tractor. Using the old tractor it takes me 5 hours. If we both plow for 1 hour before I go to school, how long will it take Dad to finish the plowing? 1 solutions Answer 333735 by ankor@dixie-net.com(15649)   on 2011-09-01 10:38:34 (Show Source): You can put this solution on YOUR website! It takes my father 3 hours to plow our cornfield with his new tractor. Using the old tractor it takes me 5 hours. If we both plow for 1 hour before I go to school, how long will it take Dad to finish the plowing? : let t = time it takes Dad to finish plowing let the completed job = 1 (a plowed field) : + = 1 Multiply by 15 to clear the denominators results: 3 + 5(5+1) = 15 3 + 5t + 5 = 15 5t = 15 - 8 5t = 7 t = t = 1.4 hrs for Dad to finish : : Check solution (Dad plowed for a total of 2.4 hrs) 1/5 + 2.4/3 = .2 + .8 = 1; confirms our solution

Rate-of-work-word-problems/489288: Vanessa can do a job in 12 days. After she has worked for 4 days, she is joined by Susan, and they finish the job together in 2 more days. How long would it have taken Susan to do the whole job herself? 1 solutions Answer 333668 by ankor@dixie-net.com(15649)   on 2011-08-31 21:53:57 (Show Source): You can put this solution on YOUR website! Vanessa can do a job in 12 days. After she has worked for 4 days, she is joined by Susan, and they finish the job together in 2 more days. How long would it have taken Susan to do the whole job herself? : Let s = time required by Susan completing the job by herself let the completed job = 1 : From the given information we can see that V worked a total of 6 days, S worked 2 days : + = 1 multiply by 12s, results: 6s + 12(2) = 12s 24 = 12s - 6s 24 = 6s s = 24/6 s = 4 days for Susan to do the job alone.

Rate-of-work-word-problems/489266: Can you please help me set up a formula for figuring out how long it would take two people to do one task together. Example: it takes you 30 minutes to rake the yard and it takes your brother 45 minutes, how long would it take for you both to rake the yard together? 1 solutions Answer 333640 by ankor@dixie-net.com(15649)   on 2011-08-31 20:35:23 (Show Source): You can put this solution on YOUR website! it takes you 30 minutes to rake the yard and it takes your brother 45 minutes, how long would it take for you both to rake the yard together? : Here's pretty easy method, : let x = time required, when raking together (in minutes) let the completed job = 1 (a raked yard) : Each man will do a fraction of the job, the two fractions add up to 1 : + = 1 multiply by by 90 to clear the denominators, results 3x + 2x = 90 5x = 90 x = 90/5 x = 18 minutes working together : :

Travel_Word_Problems/489028: A car and a van leave from the same point, at the same time, on the same path. The van travels 48mph, car travels 40mph. The van stops after driving 35 miles. How long till the car catches up to the van? 1 solutions Answer 333586 by ankor@dixie-net.com(15649)   on 2011-08-31 16:51:18 (Show Source): You can put this solution on YOUR website! A car and a van leave from the same point, at the same time, on the same path. The van travels 48mph, car travels 40mph. The van stops after driving 35 miles. How long till the car catches up to the van? : Let w = time the van waits : write a time equation, time = dist/speed : w = - Multiply by a common denominator of 240, results 240w = 6(35) - 5(35) 240w = 210 - 175 240w = 35 w = 35/240 * 60 (to get time in minutes) w = 8.75 minutes

Miscellaneous_Word_Problems/489099: Please help me with these two word problems. My head hurt from try to figure them out. Thank you from the bottom of my heart. 1) The sum of two numbers is 8. One number is 3 times the other. Find the answer. 2) For a Saturday matinee, adult tickets are $4.00 and kids under 12 pay only $2.00. If 91 tickets are sold for a total of $264.00. How many of the tickets were sold to kids under 12? 1 solutions Answer 333579 by ankor@dixie-net.com(15649)   on 2011-08-31 16:36:03 (Show Source): You can put this solution on YOUR website! 1) The sum of two numbers is 8. One number is 3 times the other. Find the answer. two numbers, x & y, write an equation for each statement. "The sum of two numbers is 8." x + y = 8 "One number is 3 times the other." x = 3y in the 1st equation replace x with 3y and you have 3y + y = 8 4y = 8 y = 8/4 y = 2 I'll let you find x : : 2) For a Saturday matinee, adult tickets are $4.00 and kids under 12 pay only $2.00. If 91 tickets are sold for a total of $264.00. How many of the tickets were sold to kids under 12? : Let x = no. of kids under 12 tickets sold Total ticket sold is 91, therefore: (91-x) = no. of adult tickets sold : the revenue equation 2x + 4(91-x) = 264 2x + 364 - 4x = 264 2x - 4x = 264 - 364 -2x = -100 x = 50 kids tickets

Problems-with-consecutive-odd-even-integers/488399: How do you turn "The sum of $224 was divided among 3 people so that the second person received $1 less than twice as much as the first, and the third received $11 more than the second. How much did each person receive?" into an equation? 1 solutions Answer 333426 by ankor@dixie-net.com(15649)   on 2011-08-30 19:50:30 (Show Source): You can put this solution on YOUR website! How do you turn "The sum of $224 was divided among 3 people so that the second person received $1 less than twice as much as the first, and the third received $11 more than the second. How much did each person receive?" into an equation? : The amt three people receive: a, b, c write an equation for each statement. : "The sum of $224 was divided among 3 people" a + b = c = 224 : "the second person received $1 less than twice as much as the first," b = 2a - 1 solve this equation for a 2a = b + 1 a = : " the third received $11 more than the second." c = b + 11 : Replace a and c in the 1st equation + b + (b+11) = 224 get rid of the fraction multiply eq by 2 b + 1 + 2b +2(b+11) = 2(224) b + 1 + 2b + 2b + 22 = 448 5b + 23 = 448 5b = 448 - 23 3b = 425 b = 425/5 b = $85 is b's share the a = a = $43 is a's share and c = 85 + 11 c = $96 is c's share : : Check this; find the total 43 + 85 + 96 = 224

Travel_Word_Problems/488550: i need to know, a train travels at the rate of 120 km per hour What is its speed in meters per second? What is its speed in meters per minute? show ur work. get me back asap 1 solutions Answer 333420 by ankor@dixie-net.com(15649)   on 2011-08-30 19:31:32 (Show Source): You can put this solution on YOUR website! a train travels at the rate of 120 km per hour What is its speed in meters per second? : multiply the km/hr times 1000 to get meters, divide no. of sec in an hour to get per sec = 33.333 meter/sec : : What is its speed in meters per minute? The same except you divide by the number minutes in an hr = 2000 meter/min

Surface-area/488625: A wheel has a diameter of 2ft. In 1000 revolutions, how far does it travel? 1 solutions Answer 333417 by ankor@dixie-net.com(15649)   on 2011-08-30 19:22:11 (Show Source): You can put this solution on YOUR website! = 6,283.2 ft

Linear-equations/488380: can someone please help me? solve each system by the elimination method. 1. 2x-y=2 4x+y=10 1 solutions Answer 333415 by ankor@dixie-net.com(15649)   on 2011-08-30 19:19:22 (Show Source): You can put this solution on YOUR website! 2x - y = 2 4x + y = 10 ----------------adding the equations eliminates y, find x 6x = 12 x = 12/6 x = 2 : Find y using the 2nd equation, replace x with 2 4(2) + y = 10 8 + y = 10 y = 10 - 8 y = 2 : Check solutions in the 1st equation 2(2) - 2 = 2 4 - 2 = 2

Percentage-and-ratio-word-problems/488159: If i ate 1/3 of corn muffins, gave 1/4 to a friend and I have 9 left, how many did I make? I may be totally wrong, but i got 18. Can you show me how to work this problem out step by step, i'm not that good in math and I'm trying to help my neice. 1 solutions Answer 333408 by ankor@dixie-net.com(15649)   on 2011-08-30 18:53:45 (Show Source): You can put this solution on YOUR website! If i ate 1/3 of corn muffins, gave 1/4 to a friend and I have 9 left, how many did I make? : Let x = no. of muffins to start with If you ate 1/3 of them, that leaves x, you gave away of this amt : x - ( * )x = 9 x - x = 9 : Get rid of those annoying denominators, multiply by 12 12*x - 12*x = 12(9) ; cancel out the denominators and you have 4(2x) - 2x = 108 8x - 2x = 108 6x = 108 x = x = 18 muffins so you are right!! : :

Numbers_Word_Problems/488406: The sum of my ones digit and tens digit is 10. My tens digit is greater than my ones digit. I am a prime number. What number am I? 1 solutions Answer 333403 by ankor@dixie-net.com(15649)   on 2011-08-30 18:37:22 (Show Source): You can put this solution on YOUR website! x = the 10's digit y = the units : The sum of my ones digit and tens digit is 10. x + y = 10 : My tens digit is greater than my ones digit. x > y : I am a prime number. Throw out the even numbers: 8,2; 6,4 : 9, 1; 91 not prime (divisible by 7) : 7, 3; 73 is the only prime number that satisfies

Travel_Word_Problems/488299: a man rides up a ski lift at the rate of 5 miles an hour and skis back down the hill at the rate of 50 miles an hour. if the complete trip requires 22 minutes, how far is it from the bottom to the top of the hill? 1 solutions Answer 333350 by ankor@dixie-net.com(15649)   on 2011-08-30 14:42:46 (Show Source): You can put this solution on YOUR website! a man rides up a ski lift at the rate of 5 miles an hour and skis back down the hill at the rate of 50 miles an hour. if the complete trip requires 22 minutes, how far is it from the bottom to the top of the hill? : Assuming the distance up is equal to the distance down. let d = the one-way distance : Change 22 min to = hr : Write a time equation: time = dist/speed : time up + time down = 22 min + = multiply equation by 150, results 30d + 3d = 5(11) 33d = 55 d = d = 1 mi from the bottom to the top of the hill : : Check this: Find the actual times each way, Use 1.67 mi dist and .367 hrs as the time (22/60) : 1.67/5 = .333 hrs 1.67/50 =.033 hrs -------------------- total time: .366 hrs which ~ 22 min

Word_Problems_With_Coins/487830: Marie poured her coins into a machine. The machine counted 88 coins. For every penny, there were 5 nickles, 3 dimes, and 2 quaters. What was the total value of maries coins? 1 solutions Answer 333262 by ankor@dixie-net.com(15649)   on 2011-08-29 22:02:08 (Show Source): You can put this solution on YOUR website! Marie poured her coins into a machine. The machine counted 88 coins. For every penny, there were 5 nickles, 3 dimes, and 2 quarters. What was the total value of maries coins? : let x = no. of pennies then 5x = no. of nickels 3x = no. of dimes 2x = no. of quarters : Find x x + 5x + 3x + 2x = 88 11x = 88 x = 88/11 x = 8 pennies then we have 40 nickels 24 dimes 16 quarters Find the value .01(8) + .05(40) + .10(24) + .25(16) = $ : I have to exit right now, You should be able to finish this now. C

Rate-of-work-word-problems/487686: If Jan can weed the garden in 2 hours and her husband can weed it in 1 hour and 30 minutes, find how long it takes them to weed the garden together. 1 solutions Answer 333223 by ankor@dixie-net.com(15649)   on 2011-08-29 19:04:34 (Show Source): You can put this solution on YOUR website! If Jan can weed the garden in 2 hours and her husband can weed it in 1 hour and 30 minutes, find how long it takes them to weed the garden together. : Let t = time required when weeding together Let the completed job = 1 (a weed-free garden) : + = 1 we can clear the denominators by multiplying by 6, results: 3t + 4t = 6 7t = 6 t = hrs working together, that's *60 = 51.43 minutes

Travel_Word_Problems/487683: To reach city A, you travel north for 2.00 hours covering 80.0 miles. You then turn due east and travel 45.0 minutes for another 20.0 miles to reach your destination. On the first leg of your trip (traveling north), what is your speed? 1 solutions Answer 333221 by ankor@dixie-net.com(15649)   on 2011-08-29 18:55:19 (Show Source): You can put this solution on YOUR website! To reach city A, you travel north for 2.00 hours covering 80.0 miles. On the first leg of your trip (traveling north), what is your speed? : That's easy; 80 mi in 2hr, obviously you are going 40 mph

Rectangles/487624: The length of a rectangle is increased by 60% By what percent would the width have to be decreased to maintain the same area? 1 solutions Answer 333186 by ankor@dixie-net.com(15649)   on 2011-08-29 17:17:17 (Show Source): You can put this solution on YOUR website! The length of a rectangle is increased by 60% By what percent would the width have to be decreased to maintain the same area? : let x = the decimal equiv decrease of the width : Write an area equation Original area = new area L * W = 1.6L * xW Divide both sides by LW 1 = 1.6 * x divide both sides by 1.6 = x x = .625, new width = .625*old width, therefore 1 - .625 = .375 * 100 = 37.5 decrease in the width to have the same area

Word_Problems_With_Coins/487828: If there is $1.60 in change and you have the same amount of dimes, nickels, and quarters then how many coins are there? 1 solutions Answer 333180 by ankor@dixie-net.com(15649)   on 2011-08-29 17:04:35 (Show Source): You can put this solution on YOUR website! If there is $1.60 in change and you have the same amount of dimes, nickels, and quarters then how many coins are there? : Let x = the number of each coin : .05x + .10x + .25x = 1.60 .40x = 1.60 x = x = 4 of each coin, therefore there are 3(4) 12 coins in all

Travel_Word_Problems/487869: Jack travels from A to B at 30 mph, and returns at 10 mph. Jill leaves at the same time as Jack, and travels from A to B and back at a constant speed of 20 mph. Who gets back first? 1 solutions Answer 333176 by ankor@dixie-net.com(15649)   on 2011-08-29 16:57:16 (Show Source): You can put this solution on YOUR website! Jack travels from A to B at 30 mph, and returns at 10 mph. Jill leaves at the same time as Jack, and travels from A to B and back at a constant speed of 20 mph. Who gets back first? : let d = the one way distance let a = Jack's average speed for the round trip : write a time equation + = Multiply by 30a da + 3da = 30(2d) da + 3da = 60d Simplify divide by d a + 3a = 60 4a = 60 a = a = 15 mph av speed, obviously, Jill will get back first

Linear-equations/487728: 24. a = 1 + b, b = 5 − 2a Thanks for any help. 1 solutions Answer 333172 by ankor@dixie-net.com(15649)   on 2011-08-29 16:43:19 (Show Source): You can put this solution on YOUR website! a = 1 + b, b = 5 − 2a Using the 1st equation, we can replace a with (1+b) in the 2nd equation b = 5 - 2(1+b) b = 5 - 2 - 2b b + 2b = 5 - 2 3b = 3 b = 1 : Find a using the 1st equation, replace b with a = 1 + 1 a = 2 : : Check these solutions in the 2nd equation b = 5 - 2a 1 = 5 - 2(2) 1 = 5 - 4