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# Recent problems solved by 'scott8148'

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 Quadratic_Equations/573534: I need help on this math question m squared-7m-8=01 solutions Answer 368799 by scott8148(6628)   on 2012-02-15 21:11:06 (Show Source): You can put this solution on YOUR website!factoring ___ (x + 1)(x - 8) = 0
 Sequences-and-series/573364: What is the Nth equation of the following pattern? Figure 1; 3 tiles Figure 2; 5 tiles figure 3; 7 tiles etc. (and I know how the pattern grows, I just need to know what the equation is)1 solutions Answer 368756 by scott8148(6628)   on 2012-02-15 18:21:27 (Show Source): You can put this solution on YOUR website!how about 2N+1
 Geometry_Word_Problems/573379: hi can you help me with this question? The ratio of the sides of two similar triangles is 8/1. What is the ratio of their areas?1 solutions Answer 368755 by scott8148(6628)   on 2012-02-15 18:18:58 (Show Source): You can put this solution on YOUR website!the ratio of the areas is the square of the ratio of the sides
 Human-and-algebraic-language/573352: Christy has a coin collection of nickels and dimes. She has 28 coins worth \$2.25. How many of each coin does Christy have? I know that .05n + .10D = \$2.25 I also know that n+d=28 I can figure out these types of problems in my head, but I can't seem to do it using an algebraic equation.1 solutions Answer 368753 by scott8148(6628)   on 2012-02-15 18:17:26 (Show Source): You can put this solution on YOUR website!your equations can be used for substitution or elimination n + d = 28 ___ n = 28 - d 5n + 10d = 225 ___ substituting ___ 5(28 - d) + 10d = 225 140 - 5d + 10d = 225 ___ 5d = 85 solve for d, then substitute back to find n
 Travel_Word_Problems/573315: how far(in feet)did a dropped rock fall if it took 2.3 seconds to reach the ground?1 solutions Answer 368730 by scott8148(6628)   on 2012-02-15 17:13:20 (Show Source): You can put this solution on YOUR website!h = (1/2)gt^2 ___ h = 16t^2
 Triangles/573316: The congruent sides of an isosceles triangle measure 6cm, and the base measures 8cm. What is the area? I don't understand how you would find the necessary height of the triangle, or how the base of an isosceles triangle can be longer than the two other congruent sides. Thank you:).1 solutions Answer 368728 by scott8148(6628)   on 2012-02-15 17:10:31 (Show Source): You can put this solution on YOUR website!the altitude (height) bisects the base and forms two congruent right triangles by Pythagoras ___ h^2 + (b / 2)^2 = 6^2
 Travel_Word_Problems/573312: what is the height of a building(in meters)if it takes a rock 3.8 seconds to drop from its roof?1 solutions Answer 368727 by scott8148(6628)   on 2012-02-15 17:06:44 (Show Source): You can put this solution on YOUR website!h = (1/2)gt^2 ___ h = 4.9t^2
 Age_Word_Problems/573281: In 1993, the life expectancy of males in a certain country was 67.7 years. In 2000, it was 66.5 years. Let E represent the life expectancy in year t and let t represent the number of years since 1993. I have tried for a whole day using formulas from others that were similiar and plugging the numbers in but I can not figure it out. Please help. It will be much appreciated1 solutions Answer 368725 by scott8148(6628)   on 2012-02-15 16:59:56 (Show Source): You can put this solution on YOUR website!from 1993 to 2000 the life expectancy decreased from 67.7 to 66.5 this change of -1.2yr per 7 yrs would be the slope of a linear graph E = (-1.2/7)t + 67.7
 Miscellaneous_Word_Problems/573257: I need some help getting this problem set up.I know one has to travel back and forth so that limits to one at a time to cross at the slowest pace.Just getting confused. Four people are trying to cross a bridge in the dark. The bridge is old, and can only hold two of the people at any one time. They have only one flashlight, which must be carried by someone each time the bridge is crossed. The flashlight is weak, so it is not possible to stand in the middle of the bridge and guide someone across. Each person must walk across the bridge and either carry the light or walk with someone who is carrying the light. The fastest person can cross the bridge in one minute, the second fastest needs two minutes, the third fastest crosses in five minutes, and the slowest takes ten minutes. What is the shortest amount of time that all four can cross the bridge. 1 solutions Answer 368724 by scott8148(6628)   on 2012-02-15 16:47:53 (Show Source): You can put this solution on YOUR website!the two fastest cross and one brings back the light the two slowest cross, and the fastest person (from the first crossing) brings back the light the two fastest cross for the last time
 Functions/573197: Writing functions from roots: Degree of 4 and roots are 2i, 3, and 6 and Degree of 5 and roots are 0, 1, 2, plus or minus √31 Thanks in advance I really appreciate it ;)1 solutions Answer 368712 by scott8148(6628)   on 2012-02-15 15:15:29 (Show Source): You can put this solution on YOUR website!1st nugget ___ if r is a root of a function, then x-r is a factor 2nd nugget ___ complex roots (containing i) occur in conjugate pairs (a+bi and a-bi) f(x) = (x - 2i)(x + 2i)(x - 3)(x - 6) g(x) = (x)(x - 1)(x - 2)(x - √31)(x + √31) you can multiply the factors together to get the expanded form of the function
 Square-cubic-other-roots/573141: What is the square root of 1700? This is what I have so far: 1700 412 -16 -- 81 100 81 ---- 82 1900 Now we are lost. I am a homeschool mom trying to help my son understand this. I have the answer, but not how to get the answer, so if you could include the math for each step I would appreciate it. Thank you for your help1 solutions Answer 368694 by scott8148(6628)   on 2012-02-15 13:10:57 (Show Source): You can put this solution on YOUR website!this is what you are looking for ___ http://xlinux.nist.gov/dads/HTML/squareRoot.html
 Quadratic-relations-and-conic-sections/572850: how do i complete the square with a ellipse equation? the equation im having issues with is 49x^2+36y^2+686x-360y+1537=0. please help.1 solutions Answer 368559 by scott8148(6628)   on 2012-02-14 21:22:11 (Show Source): You can put this solution on YOUR website!49(x^2 + 14x) + 36(y^2 - 10y) = -1537 49(x^2 + 14x + 49) + 36(y^2 - 10y + 25) = -1537 + (49 * 49) + (36 * 25) 49(x + 7)^2 + 36(y - 5)^2 = -1537 + (49 * 49) + (36 * 25) [49(x + 7)^2 + 36(y - 5)^2] / (49 * 36) = [-1537 + (49 * 49) + (36 * 25)] / (49 * 36)
 Age_Word_Problems/572727: Marco and his dad have an age difference of 25. The sum of their ages is 43. How old is Marco. I subtracted 25 from 43, but the choices are 7,9,12,32. I come up with 181 solutions Answer 368493 by scott8148(6628)   on 2012-02-14 16:51:10 (Show Source): You can put this solution on YOUR website!Marco's dad is 25 years older than Marco, his age is Marco's age PLUS 25 so the sum of their ages is ___ Marco plus Marco plus 25 the solution you found is twice Marco's age
 �t�e�s�t/572635: How many minutes will it take to completely fill a water tank with a capacity of 3750 litres if the water is being pumped into the tank at the rate of 800 litres per minute and is being drained out of the tank at the rate of 300 litres per minute? i jus started with net part filled =1/800 - 1/300 for 1 min = 500/2400 filled ....after this i have no idea to proceed ....1 solutions Answer 368468 by scott8148(6628)   on 2012-02-14 12:11:11 (Show Source): You can put this solution on YOUR website!800 L/min in and 300 L/min out , means a net gain of 500 L/min how long to fill 3750 L tank at 500 L/min
 Length-and-distance/572638: In the same amount of time a new production assembly robot can assemble 8 times as many transmissions as an old assembly line. If the new robot can assemble 'x' transmissions per hour, how many transmissions can the new robot and the old assembly line produce together in five days of round the clock production. for this i started with both robots 1 hr work = x+ x/8 = 9x / 8 ....after this i have no idea ...can anyone help me....?1 solutions Answer 368467 by scott8148(6628)   on 2012-02-14 12:07:45 (Show Source): You can put this solution on YOUR website!new ___ x per hr , so 24x per day old ___ 1/8 of new , so 3x per day together ___ 27x per day
 Coordinate-system/572582: Find an equation of the circle that satisfies the given conditions. (Give your answer in terms of x and y.) Center (4, −5) and passes through (9, 4)1 solutions Answer 368466 by scott8148(6628)   on 2012-02-14 12:03:12 (Show Source): You can put this solution on YOUR website!the general equation for a circle is ___ (x - h)^2 + (y - k)^2 = r^2 ___ this is a circle centered at (h,k) with a radius of r in this case, r is the distance between (4,-5) and (9,4) ___ by Pythagoras (the distance formula) ___ r^2 = (4 - 9)^2 + (-5 - 4)^2
 Linear-systems/572618: so im having problems in my algebra class, how would i do an equation like this -> Choose the correct first step(s) to solve the system using elimination. 4x + 7y = 6 and 6x + y = 2 (example problem) 1)7(6x + y = 2) → -42x - 7y = -14 2)4x + 7y = 6x + y 3)y = -6x + 20 → 4x + 7(-6x + 20) = 6 4)(4x + 7y) + (6x + y) = 8 5)(4x + 7y) - (6x + y) = 4 1 solutions Answer 368462 by scott8148(6628)   on 2012-02-14 11:48:14 (Show Source): You can put this solution on YOUR website!with elimination, you try to get the coefficients of one of the variables to be equal but opposite in the two equations ___ that way, when you add the two equations; the variable will be eliminated the 1st option multiplies the 2nd equation by -7 to get equal but opposite coefficients for the y-terms when you add the two equations ___ 4x + 7y - 42x - 7y = 6 - 14 the y-terms are eliminated ___ -38x = -8
 Percentage-and-ratio-word-problems/572340: a dealer sold 200 tennis racquets. Some were sold at \$18 each and the rest were sold at \$33 each. The total reciepts from these sales were \$4800. How many \$18 racquets did he sell? I can get the average of \$24, but am drawing a blank on the actual formula to use.1 solutions Answer 368384 by scott8148(6628)   on 2012-02-13 20:11:31 (Show Source): You can put this solution on YOUR website!(18)(x) + (33)(200 - x) = 4800
 Number-Line/572305: The number line I am trying to solve is __, __, __, 18, __, __, __, __, __, 481 solutions Answer 368362 by scott8148(6628)   on 2012-02-13 18:56:48 (Show Source): You can put this solution on YOUR website!48 is the 6th number after 18 , so the common difference (d) has been added 6 times 18 + 6d = 48 ___ 6d = 30 ___ d = 5 so the difference between adjacent numbers is 5
 Rectangles/572259: A rectangles's length is 8 meters more than three times the width. The perimeter is 80 meters. What is the lenght? 8m 24m 32m 40m I believe the answer is 24 or 32 but its tricky to me because of the 8 meters more part of the question. Also What is the difference between width and length. I thought they were the same. I understand that 2(w + h) = Perimeter Thats why I think it is 32 or 24 Im sway to 24 when the 8 more is applied because it would mean that the height would have to be more than 8. HELP1 solutions Answer 368360 by scott8148(6628)   on 2012-02-13 18:47:11 (Show Source): You can put this solution on YOUR website!"A rectangles's length is 8 meters more than three times the width" ___ L = 3W + 8 "The perimeter is 80 meters" ___ 2L + 2W = 80 ___ L + W = 40 ___ W = 40 - L substituting ___ L = 3(40 - L) + 8 ___ L = 120 - 3L + 8 ___ 4L = 128
 Miscellaneous_Word_Problems/572262: Kristin spent \$131 on shirts. Fancy shirts cost \$28 and plain shirts cost \$15. If she bought a total of 7 then how many of each kind did she buy? How would you go about solving this problem? My step-daughter has it on her homework and she is having me check her work and it has been 20 years since I took algebra and I am at a lose as to where to even begin this problem.1 solutions Answer 368358 by scott8148(6628)   on 2012-02-13 18:40:10 (Show Source): You can put this solution on YOUR website!"Kristin spent \$131 on shirts. Fancy shirts cost \$28 and plain shirts cost \$15" ___ 28f + 15p = 131 "she bought a total of 7" ___ f + p = 7 ___ p = 7 - f substituting the equivalent value of p ___ 28f + 15(7 - f) = 131 28f + 105 - 15f = 131 ___ 13f = 26 solve for f , then substitute back to find p
 Equations/572284: trying to help son with math homework, please help. 45 divided by 9=___ divided by 8 12 divided by ____=15 divided by 51 solutions Answer 368354 by scott8148(6628)   on 2012-02-13 18:30:00 (Show Source): You can put this solution on YOUR website!45 ÷ 9 = 5 ___ 8 x 5 = 40 , so 45 ÷ 9 = 40 ÷ 8 15 ÷ 5 = 3 ___ 12 ÷ 3 = 4 , 12 ÷ 4 = 15 ÷ 5
 decimal-numbers/572273: How would you write 10 to the -6 in decimal form? Also, another problem, 6x10 to the -3? If you can send me the answer, and how you got that, as SOON as possible, like later on today, or early-bout 7 or 8 in the morning, I would TRULY AND GLADLY appreciate it! 2/13/12 1 solutions Answer 368351 by scott8148(6628)   on 2012-02-13 18:21:18 (Show Source): You can put this solution on YOUR website!10^2 = 100 10^1 = 10 10^0 = 1 10^-1 =.1 10^-2 = .01 follow the pattern to 10^-6 6x10^-3 is just what it says , 6 multiplied by 10^-3
 Geometry_Word_Problems/572195: You and seven of your friends (8 people total)order a pizza frOm Dominios for \$2.00 per person. It has a 18 inch diameter. You split the pizza evenly between all of you You and three of your friends (4people total) each order 3 slices of pizza from Pizza Hut for \$5 total per person. Each slice is 1/8 of a pizza with a 19 inch diameter Which deal is better? Your help will be greatly appreciated. On my own I discovered that: Dominos pizza will feed eight people for the cost of \$16.00 and I estimated that each slice will be 2.25inches Pizza huts pizza will feed. Four people for the cost of \$15.00 and will provide 12 slices at 2.375 inches per slice1 solutions Answer 368336 by scott8148(6628)   on 2012-02-13 16:08:59 (Show Source): You can put this solution on YOUR website!the area of a circle (pizza) is, pi (not pie) times the radius squared the best deal is most area per dollar D ___ (pi * 9^2) / 16 P ___ (pi * 9.5^2)(3/8) / 5
 Polynomials-and-rational-expressions/572177: I need help on simplifying rational expressions. How would you solves omething like v^2-7v-30 over v^2-5v-24?1 solutions Answer 368332 by scott8148(6628)   on 2012-02-13 15:58:02 (Show Source): You can put this solution on YOUR website!factoring is a good start ___ [(v + 3)(v - 10)] / [(v + 3)(v - 8)] canceling (v + 3) ___ (v - 10) / (v - 8)
 Functions/572132: Let f(x) = 6x − 8 and g(x) = 3x + 9.Write a formula for the following function. g − f I tried 3x+9-6x-8 and it was wrong, I also tried the simplified version, -3x+1 and it was wrong as well.1 solutions Answer 368306 by scott8148(6628)   on 2012-02-13 14:22:19 (Show Source): You can put this solution on YOUR website!(3x + 9) - (6x - 8) ___ 3x + 9 - 6x + 8 ___ -3x + 17 the minus distributes
 Word_Problems_With_Coins/572082: Ben has \$2.25 in nickels and dimes. He has 6 more nickels than dimes. How many nickels does he have? I've tried everything I know, but I cant seem to solve it :(1 solutions Answer 368282 by scott8148(6628)   on 2012-02-13 12:53:45 (Show Source): You can put this solution on YOUR website!"Ben has \$2.25 in nickels and dimes" ___ 5n + 10d = 225 "He has 6 more nickels than dimes" ___ n = d + 6 substituting ___ 5(d + 6) + 10d = 225 ___ 5d + 30 + 10d = 225 ___ 15d = 195 solve for d, then substitute back to find n
 Quadratic_Equations/572106: What is the curve in a quadratic equation called1 solutions Answer 368281 by scott8148(6628)   on 2012-02-13 12:40:55 (Show Source): You can put this solution on YOUR website!the graph of a quadratic equation is parabolic
 Word_Problems_With_Coins/571632: I have 15 coins;only pennies and dimes. The value of the coins is 80 cents. How many pennies and dimes do I have? Find your answer by creating a graph by using the X and Y-intercepts of the two equations. I am in Algebra I. I have graphed these two equations on a 12x9 grid multiple times with no conclusion.X=Pennies and Y=Dimes. X+Y=15 and 0.01X+0.1Y=0.80 I cannon get a definate solution to the problem. Please help 1 solutions Answer 368153 by scott8148(6628)   on 2012-02-12 14:43:35 (Show Source): You can put this solution on YOUR website!solving the equations algebraically ___ p + d = 15 and p + 10d = 80 subtracting the equations ___ p + 10d - (p + d) = 80 - 15 ___ 9d = 65 ___ d = 7 2/9 ___ this would make p equal to ___ 15 - 7 2/9 or 7 7/9 since these "fractional" coins do not exist ; there seems to be an inconsistency in the problem
 Travel_Word_Problems/571298: A train leaves the terminal averaging 45 MPH. A second train leaves the same terminal 2 hours later, averaging 60 MPH. How long will it take the second train to catch up to the first train? 1 solutions Answer 368043 by scott8148(6628)   on 2012-02-11 14:42:09 (Show Source): You can put this solution on YOUR website!the 1st train has a 90 mi (45 * 2) head start the second train closes the distance at 15 mph (60 - 45) how long to go 90 mi at 15 mph?
 Mixture_Word_Problems/571243: By weight one alloy has 40% Aluminum, 38% Copper and the rest Cadmium. The second alloy has 52%, 20% and 28% Aluminum, Copper, and Cadmium respectively. The Aluminum, Copper, and Cadmium content of the third alloy is 61%, 12% and 27% respectively. How much of each alloy must be mixed to produce 1000 Lbs of alloy with the following content of 50.2% Aluminum, 23.8% Copper and 26% Cadmium? I am completely stumped on how to figure this one out. Can someone help Please?1 solutions Answer 368040 by scott8148(6628)   on 2012-02-11 14:37:59 (Show Source): You can put this solution on YOUR website!let x = amount of 1st alloy , y = amount of 2nd alloy , and z = amount of 3rd alloy you are given the amounts of the components in the final alloy ___ Al = (50.2%)(1000) = 502 lb ___ Cu = (23.8%)(1000) = 238 lb ___ Cd = (26%)(1000) = 260 lb .4x + .52y + .61z = 502 .38x + .2y + .12z = 238 .22x + .28y + .27z = 260 solve the system of equations to find the amounts of the three alloys you might want to think about Cramer's Rule