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# Recent problems solved by 'scott8148'

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 Graphs/514119: can u help me with my homework i dont get it at all and its really confusing to me. i have algebra 1 and i am learning about compound inequalities with absolute value. the one i cant get is 2=|g+1|1 solutions Answer 343304 by scott8148(6628)   on 2011-10-12 22:22:46 (Show Source): You can put this solution on YOUR website!the absolute value signs means that g+1 can equal 2 or -2 ___ just solve for both g+1 = 2 ___ g = 1 g+1 = -2 ___ g = -3
 Equations/513449: Hi, can you help me please with this equation? Square root of (3x+10) = x+2 Upon solving, I got x= -3 and x= 2. When I plugged in the roots, I did not get the check for x= -3. I got Square root of (-9+10) = -3+2 1 = -1 which is FALSE; thus, x = -3 is NOT the solution. And only x = 2 is the solution. Is that right or not? Please help me answer this question and tell me if x = -3 is or is NOT the solution? Thank you so much. I. 1 solutions Answer 343021 by scott8148(6628)   on 2011-10-11 22:58:13 (Show Source): You can put this solution on YOUR website!(-1)^2 = 1 sqrt(1) = ±1 both of your solutions work
 Equations/513493: Good evening, I am having difficulties factoring out this problem: x^3 - 6x^2 + 11x -6 = 0 When I factored it as (x-2)^3, I got x^2 -6x^2 + 12X - 8 but I cannot get it to the exact answer. Can you help me please solve this problem? Thank you. I.1 solutions Answer 343020 by scott8148(6628)   on 2011-10-11 22:51:44 (Show Source): You can put this solution on YOUR website!(x^3 - 6x^2 + 5x) + (6x - 6) ___ [x(x^2 - 6x + 5)] + (6x - 6) [x(x - 1)(x - 5)] + [6(x - 1)] ___ (x - 1)[x(x - 5) + 6] ___ (x - 1)(x^2 - 5x + 6) (x - 1)(x - 2)(x - 3)
 Trigonometry-basics/513390: This one is too hard and I can't get it. . . Find the exact value of: ' cos ( tan^-1 (4/3) + cos^-1 (12/13 ) ) ' Thank You1 solutions Answer 342989 by scott8148(6628)   on 2011-10-11 20:41:40 (Show Source): You can put this solution on YOUR website!cos (A + B) = (cos A)cos B - (sin A)sin B for a 3-4-5 triangle ___ tan^-1 (4/3) = cos^-1 (3/5) = sin^-1 (4/5) for a 5-12-13 triangle ___ cos^-1 (12/13) = sin^-1 (5/13)
 Percentage-and-ratio-word-problems/513333: The riverboat could go 48 miles downstream in the same time that it took her to go 32 miles upstream. If her speed was 10 mph in still water, what was the speed of the current?1 solutions Answer 342961 by scott8148(6628)   on 2011-10-11 19:36:14 (Show Source): You can put this solution on YOUR website!t = d / r ___ the times are the same (equal) 48 / (10 + c) = 32 / (10 - c) "cross" multiplying ___ 480 - 48c = 320 + 32c
 Sequences-and-series/513337: what is the number pattern 8,16,4,8,2need answer for the next two numbers thanks1 solutions Answer 342960 by scott8148(6628)   on 2011-10-11 19:31:34 (Show Source): You can put this solution on YOUR website!8 times 2 is 16 ___ 16 divided by 4 is 4 4 times 2 is 8 ___ 8 divided by 4 is 2
 Probability-and-statistics/513298: It would be helpful if some one could show me how this problem is done, because I actually want to understand it. Two people go hunting, each fire one shot at a deer. The probability that the first person hits the deer is .3 and the probability that the second person hits the deer is .4. The shots are independent. Find the conditional probability that the second person hit the deer given that exactly one shot hit the deer. All help appreciated. Thanks in advance!! :D1 solutions Answer 342956 by scott8148(6628)   on 2011-10-11 19:26:27 (Show Source): You can put this solution on YOUR website!let's say these two "marksmen" both shot 10 times at the same target ___ you would expect to find 7 holes in the target ___ 3 from the first person and 4 from the second person if you picked a random hole, the probability is 4/7 that the second person made it given that the deer was hit, the probability is .4/.7 (4/7) that the second person did it
 Age_Word_Problems/513197: Bob is 24 years Younger than his father. In 2 years he will be half his father's age. How old is each now? what i understand is that B= Bob's age, and B+24= Fathers age and i don't understand how we are supposed to write out the 2 years part of the equation.1 solutions Answer 342921 by scott8148(6628)   on 2011-10-11 18:23:18 (Show Source): You can put this solution on YOUR website!F = B + 24 (F + 2) / 2 = B + 2
 Average/513046: Thank you for your help! Here's the problem: Student grades were based on weighted averages. The final test was weighted at 4 times the weight of a weekly test. If Marion had an average of 92.4 on the ten regular weekly tests and scored 84 on the final, what was her weighted average? I don't know how to find this answer. Do i need to figure out what is the weight of a weekly test??? I'm stumped. Thank you. 1 solutions Answer 342873 by scott8148(6628)   on 2011-10-11 15:30:05 (Show Source): You can put this solution on YOUR website!the weighting means that taking the final is like taking 4 weekly tests ___ the average is based on 14 test scores, of which 4 are the final test a = [(92.4 * 10) + (84 * 4)] / (10 + 4)
 Miscellaneous_Word_Problems/512725: This is an old homework problem I missed and haven't been able to figure out since. Please help if you can...? Planet X is very large, having a mass and radius that are, respectively, 338 and 13.8 times that of earth. Suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. Each object falls the same distance before striking the ground. Determine the ratio of the time of fall on planet × to that on earth. 1 solutions Answer 342736 by scott8148(6628)   on 2011-10-10 22:37:42 (Show Source): You can put this solution on YOUR website!gravitational force is directly proportional to the mass and inversely proportional to the square of the distance so gravitational acceleration on X is [338 / (13.8^2)] times that on Earth the time that it takes an object to fall a given distance (from rest) is inversely proportional to the square root of the acceleration (h = .5gt^2) so tX /tE = [sqrt(338)] / 13.8
 Problems-with-consecutive-odd-even-integers/512744: Find two consecutive even integers such that the sum of the larger and 3 times the smaller is 234. As far as I got was x+3x=234 but then I got stuck and was not even sure that was right.1 solutions Answer 342735 by scott8148(6628)   on 2011-10-10 22:22:28 (Show Source): You can put this solution on YOUR website!consecutive even means that they're two apart ___ x and x+2 (x+2) + (3x) = 234 ___ 4x + 2 = 234
 Age_Word_Problems/512245: A boy is 42 years younger than his father. In 8 years time, he will be 1/4 times as old as his father .Finde their present age.1 solutions Answer 342588 by scott8148(6628)   on 2011-10-10 10:08:59 (Show Source): You can put this solution on YOUR website!"A boy is 42 years younger than his father" ___ b = f - 42 "In 8 years time, he will be 1/4 times as old as his father" ___ b + 8 = (1/4)(f + 8) ___ 4b = f - 24 subtract the equations to eliminate f
 Rectangles/512278: The length of a rectangle exceeds its width by 7 units and its area is 228 square units. What is the length of the rectangle? 1 solutions Answer 342587 by scott8148(6628)   on 2011-10-10 09:47:08 (Show Source): You can put this solution on YOUR website!L (L - 7) = 228 L^2 - 7L - 228 = 0 factoring ___ (L - 19)(L + 12) = 0
 Linear-equations/512279: Question is : Write an equation of the line that is parallel to the graph of 2x-7y=3 and has the same y-intercept as x+3y=9? I keep getting confused, but I think I can always plug in 0 for X to find Y? I think I am doing this wrong. Please help and thank you!1 solutions Answer 342586 by scott8148(6628)   on 2011-10-10 09:41:08 (Show Source): You can put this solution on YOUR website!y-intercept means x=0 ___ (0) + 3y = 9 ___ y = 3 ___ so the point is (0,3) a parallel line will have the same equation EXCEPT for the constant term substituting ___ 2(0) - 7(3) = ? ___ -21 = ? the equation is ___ 2x - 7y = -21
 Numbers_Word_Problems/512061: 17less than 6 times a number is equal to 47 plus 10 times the number 1 solutions Answer 342523 by scott8148(6628)   on 2011-10-09 21:37:25 (Show Source): You can put this solution on YOUR website!6n - 17 = 10n + 47
 Linear_Equations_And_Systems_Word_Problems/512072: Not sure how to solve this problem on my daughters homework. I would like to understand so I can attempt to explain it to her. Here it is.. The difference of two numbers is 8. The first number x is 1 less than twice the second number y. Write and solve a system of linear equations to find the two numbers1 solutions Answer 342520 by scott8148(6628)   on 2011-10-09 21:34:42 (Show Source): You can put this solution on YOUR website!"The first number x is 1 less than twice the second number y" ___ x = 2y -1 "The difference of two numbers is 8" ___ x - y = 8 substituting the equivalent value for x from the 1st equation ___ (2y - 1) - y = 8 ___ y = 9 substituting into the 2nd equation ___ x - (9) = 8 ___ x = 17
 Linear-systems/511821: 3/4x + 2/3y=7 3/5x - 1/2y=18 solve by elimination or substitution I have done this problem 15 times and cannot get the answer. I am doing something wrong and need to see the steps involved more than just the right answer because I don't know what I have done wrong.1 solutions Answer 342427 by scott8148(6628)   on 2011-10-09 15:12:59 (Show Source): You can put this solution on YOUR website!multiply 1st eqn by 60 (3 * 4 * 5) ___ 45x + 40y = 420 (A) multiply 2nd eqn by 80 ___ 48x - 40y = 1440 (B) add eqn (A) and eqn (B), eliminating y ___ 93x = 1860 find x and substitute back to find y
 Linear-systems/511574: Solve the system of equations step by step? x-2y+3z=-7 4x+5y+z=4 -x+y-2z=51 solutions Answer 342290 by scott8148(6628)   on 2011-10-08 21:00:04 (Show Source): You can put this solution on YOUR website!add 3rd eqn to 1st eqn ___ -y + z = -2 (A) multiply 3rd eqn by 4, then add to 2nd eqn ___ 9y - 7z = 24 (B) multiply eqn (A) by 7, then add to eqn (B) ___ 2y = 10 substitute back the value of y to find x and z
 Graphs/511601: How would I know if y = 2x - 3 and y = 2x + 4 is a perpendicular or a parallel line?1 solutions Answer 342288 by scott8148(6628)   on 2011-10-08 20:49:04 (Show Source): You can put this solution on YOUR website!the equations are in slope-intercept form, y = mx + b ___ where m (the coefficient of the x term) is the slope of the line parallel lines have the same slope (as in this problem) perpendicular lines have slopes that are negative-reciprocals of each other ___ like 4 and -1/4
 test/511507: From a point on the ground 255 m from the base of a tower, the angle of elevation to the top of the tower is 57.6 degrees. Find the height of the tower.1 solutions Answer 342280 by scott8148(6628)   on 2011-10-08 18:52:05 (Show Source): You can put this solution on YOUR website!h = (255)[tan(57.6º)]
 Miscellaneous_Word_Problems/511563: The current I in an electrical conductor varies inversely as the resistance R of the conductor. The current is 9 amperes when the resistance is 980 ohms. What is the current when the resistance is 580 ohms?1 solutions Answer 342278 by scott8148(6628)   on 2011-10-08 18:45:12 (Show Source): You can put this solution on YOUR website!(9)(980) = (I)(580)
 Probability-and-statistics/511560: The weight of a astronnaut. The weight W of an object varies inversely as the square of the distance d from the center of the earth. At sea level (3978 mi from the center of the earth) an astronaut weighs 131 lbs. Find the weight when she is 198 mi above the surface of the earth and the spacecraft is not in motion. I can not figure this out for the life of me or even begin to figure out where to start can someone pls help?1 solutions Answer 342277 by scott8148(6628)   on 2011-10-08 18:43:45 (Show Source): You can put this solution on YOUR website!(131)(3978^2) = (w)[(3978 + 198)^2]
 Age_Word_Problems/510937: Matthew is 3 times as old as Jenny. In 7 years he will be twice as old as she will be then. How old is each now. I have figured out the answer, but not how to work the problem. I tried: x + 1/3X = 2 times X + 7 + 1/3 X + 7 which is completely wrong. I have not done a problen where I didn't have a specific number for an answer. Reid 1 solutions Answer 341937 by scott8148(6628)   on 2011-10-06 22:01:15 (Show Source): You can put this solution on YOUR website!M = 3J M + 7 = 2(J + 7)
 Evaluation_Word_Problems/510931: This is for 4th grade Problem solving George earns \$30 plus tips each day. Write an expression to show his total daily pay. (Is the answer: 30 + n) If George received \$8 in tips yesterday, how much did he earn in all?1 solutions Answer 341934 by scott8148(6628)   on 2011-10-06 21:58:36 (Show Source): You can put this solution on YOUR website!your work looks good
 Money_Word_Problems/510929: a total of \$25000 is invested in two funds paying 6% and 8.5% simple interest. the 6% investment has a lower risk. the investor wants a yearly interest income of \$2000 from the two investments. a)write a system of equations in which one equation represents the total amount invested and the other equation represents the \$2000 required in interest. let x and y represent the amounts invested at 6% and 8.5% respectively.1 solutions Answer 341932 by scott8148(6628)   on 2011-10-06 21:57:11 (Show Source): You can put this solution on YOUR website!x + y = 25000 (6%)x + (8.5%)y = 2000
 Triangles/510831: If three sides of a triangle are 14, 6, and x, what is the range of possible values for x?1 solutions Answer 341921 by scott8148(6628)   on 2011-10-06 21:20:56 (Show Source): You can put this solution on YOUR website!x must be large enough to close the triangle ___ >8 and small enough that the triangle can close ___ <20
 Word_Problems_With_Coins/510836: Dave has a jar full of nickels, dimes, and quarters. The number of dimes he has is five less than the number of quarter he has. If the value of his 68 coins is \$8.15 identify the number of nickels, dimes and quarters Dave has. 1 solutions Answer 341919 by scott8148(6628)   on 2011-10-06 21:17:43 (Show Source): You can put this solution on YOUR website!q + d + n = 68 25q + 10d + 5n = 815 d = q - 5
 Mixture_Word_Problems/510840: Larry Mitchell invested part of his 34,000 advance at 7% annual simple interest and the rest at 9% annual simple interest. If his total yearly interest from both accounts was \$2,420, find the amount invested at each rate. I just really need helping breaking it down to solve it. 1 solutions Answer 341915 by scott8148(6628)   on 2011-10-06 21:14:56 (Show Source): You can put this solution on YOUR website!(7%)(x) + (9%)(34000 - x) = 2420
 Geometry_Word_Problems/510859: In a triangle, the measures of the second angle is 6 times the measure if the first angle. The measure of the third angle is 18 less than the sum of the measures of the second angle and the square of the first angle. Find the measure of each angle. I tried this problem, but I got stuck after the 2nd equation which included finding the square of the first angle.1 solutions Answer 341912 by scott8148(6628)   on 2011-10-06 21:11:54 (Show Source): You can put this solution on YOUR website!f + s + t = 180 ___ t = 180 - f - s s = 6f t = f^2 + s - 18 180 - f - 6f = f^2 + 6f - 18 ___ 0 = f^2 + 13f - 18 use quadratic formula to find f. then substitute
 Word_Problems_With_Coins/510878: Tony has a total of 20 coins, quarter and dimes. The total value is \$3.20. Find the number of Quarter and dime1 solutions Answer 341901 by scott8148(6628)   on 2011-10-06 20:58:44 (Show Source): You can put this solution on YOUR website!q + d = 20 25q + 10d = 320
 Functions/510880: The question is "Guess my Rule" I can't get this one. I think the zero is throwing me off. Starting Value (Domain) 2 4 6 8 Final Value (Range) 0 12 32 60 What is the functional Rule for each? 1 solutions Answer 341900 by scott8148(6628)   on 2011-10-06 20:56:01 (Show Source): You can put this solution on YOUR website!look at the values for the domains squared ___ 4, 16, 36, 64 ... look familiar?