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 Expressions-with-variables/233932: Solve the equation: The following are fractions and the answer should be -4/3 but I am unable to get this answer x/4=-x/2-1 Please help! 1 solutions Answer 172594 by scott8148(6628)   on 2009-11-01 23:44:12 (Show Source): You can put this solution on YOUR website!x/4 = -x/2 - 1 ___ remember PEMDAS multiplying by 4 ___ x = -2x - 4 adding 2x ___ 3x = -4 dividing by 3 ___ x = -4/3
 Graphs/233931: please help me solve this problem. The instruction: write an equation of each line with the stated properties. The question is: parallel to 2x-5 and has the same x- intercept as y= 3x-61 solutions Answer 172593 by scott8148(6628)   on 2009-11-01 23:39:59 (Show Source): You can put this solution on YOUR website!parallel means same slope ___ y = 2x + ? x-intercept means y=0 ___ 0 = 3x - 6 ___ 2 = x so x is 2 when y is 0 ___ 0 = 2(2) + ? ___ -4 = ? y = 2x - 4
 Word_Problems_With_Coins/233934: A child's coin bank contains \$2.58 in pennies and nickels. If the number of pennies is 36 less than 2 times the number of nickels, how many nickels are in the bank?1 solutions Answer 172589 by scott8148(6628)   on 2009-11-01 23:31:44 (Show Source): You can put this solution on YOUR website!"A child's coin bank contains \$2.58 in pennies and nickels" ___ P + 5N = 258 "the number of pennies is 36 less than 2 times the number of nickels" ___ P = 2N - 36 substituting ___ 2N - 36 + 5N = 258 ___ 7N = 294 ___ N = 42
 Geometry_Word_Problems/233939: In any triangle, the sum of the measures of the angles is 180Degrees. In triangle ABC, Angle A is 4 times as large as Angle B. Angle C measures 20degrees less than Angle B. Find the measure of each angle. I know he answer are the following but I need help figuring out how to write the equation and then help to solve A=133.32 B=33.33 C=13.33 Please help!1 solutions Answer 172587 by scott8148(6628)   on 2009-11-01 23:23:15 (Show Source): You can put this solution on YOUR website!"Angle A is 4 times as large as Angle B" ___ A = 4B "Angle C measures 20degrees less than Angle B" ___ C = B - 20 A + B + C = 180 4B + B + B - 20 = 180 ___ 6B - 20 = 180 ___ 6B = 200 ___ B = 200/6 = 100/3 substituting ___ A = 4 (200/6) = 800/6 = 400/3 substituting ___ C = 200/6 - 120/6 = 80/6 = 40/3
 Equations/233989: Find the equation of the line with a slope of -1/2 and containing the point (-3, 2).1 solutions Answer 172586 by scott8148(6628)   on 2009-11-01 23:15:09 (Show Source): You can put this solution on YOUR website!using point-slope ___ y - 2 = -1/2 (x + 3)
 Evaluation_Word_Problems/233937: Consecutive Integers-Find the three consecutive integers whose sum is 84. I know the formula is n+(n+1)+(n+2)=84 and the answer should be 27,28,29 but I don't know how to show it. Please help!1 solutions Answer 172584 by scott8148(6628)   on 2009-11-01 23:12:55 (Show Source): You can put this solution on YOUR website!3n + 3 = 84 3n = 81 n = 27 n + 1 = 28 n + 2 = 29
 Travel_Word_Problems/233947: I'm having some problem with the following: Mary starts at a point 26 miles from school & runs toward school at 6 miles per hour. Mike starts from school 1.3 hours later & runs toward Mary at 8 miles per hour. A) Let x be the number of hours Mary has been running. Write expressions for the distance she has run & for her distance from school. B) In terms of x, how many hours has Mike been running? How far is he from school? C) How long has Mary been running when she & Mike meet? (write equation & solve) D) How far from school do they meet? 1 solutions Answer 172582 by scott8148(6628)   on 2009-11-01 22:49:44 (Show Source): You can put this solution on YOUR website!(A) d = r * t = 6x ___ distance from school = 26 - 6x (B) t = x - 1.3 ___ distance from school = 8(x - 1.3)) (C) 26 - 6x = 8(x - 1.3)) ___ 26 - 6x = 8x - 10.4 ___ 36.4 = 14x ___ 36.4 / 14 = x (D) 26 - (6(36.4 / 14))
 Linear-systems/233966: This equation has a { on the left side. I do not understand how to solve for x,y and z. I know I have to pair up equations but each attempt proves useless. 5x + 4y - z =1 2x - 2y + z = 1 - x - y + z = 21 solutions Answer 172581 by scott8148(6628)   on 2009-11-01 22:29:14 (Show Source): You can put this solution on YOUR website!adding 1st eqn and 2nd eqn ___ 7x + 2y = 2 ___ multiplying by 3 ___ 21x + 6y = 6 (A) adding 1st eqn and 3rd eqn ___ 4x + 3y = 3 ___ multiplying by -2 ___ -8x - 6y = -6 (B) adding eqn (A) and eqn (B) ___ 13x = 0 ___ x = 0 substituting ___ 7(0) + 2y = 2 ___ y = 1 substituting ___ 5(0) + 4(1) - z = 1 ___ z = 3
 Polynomials-and-rational-expressions/233940: Factor. x^2 – 3xy - 18y^2 1 solutions Answer 172580 by scott8148(6628)   on 2009-11-01 22:17:49 (Show Source): You can put this solution on YOUR website!(x + 6y)(x - 3y)
 decimal-numbers/233850: What is the decimal halfway between 0.9999999 and 1.1? How did you find the answer? Please help! :)1 solutions Answer 172528 by scott8148(6628)   on 2009-11-01 19:10:56 (Show Source): You can put this solution on YOUR website!half way between is the average (0.9999999 + 1.1) / 2 = 2.0999999 / 2 = 1.04999995
 Points-lines-and-rays/233793: Line j is perpendicular to the line with the given equation and line j passes through P. Write and equation of line j. y=1/3x+5,P(6,2) Please help! this problem makes no sense to me!! Thank you sooo much!(:1 solutions Answer 172506 by scott8148(6628)   on 2009-11-01 17:19:14 (Show Source): You can put this solution on YOUR website!the slopes of perpendicular lines are negative-reciprocals so the slope of j is -3 the equation for j, using point-slope ___ y-2 = -3(x-6) y-2 = -3x + 18 ___ y = -3x + 20
 Miscellaneous_Word_Problems/233617: A survey of 100 high school students revealed the following data: 28 eat chicken, 30 eat beef, 20 eat pork. These numbers include 12 students who eat chicken and beef, 7 who eat chicken and pork, 5 who eat beef and pork, and 3 who eat all three. How many non-meat eaters are in the sample? (e) 39 (b) 40 (c) 41 (d) 42 (a) 43 1 solutions Answer 172504 by scott8148(6628)   on 2009-11-01 17:13:37 (Show Source): You can put this solution on YOUR website!you should solve this with a Venn diagram 3 - eat all 3 2 more eat B and P 4 more eat C and P 9 more eat C and B 11 more eat only P 16 more eat only B 12 more eat only C 3 + 2 + 4 + 9 + 11 + 16 + 12 = 57 meat-eaters
 Numbers_Word_Problems/233653: how many perfect squars are there between 1000 and 2000 ? a) 10 b0 13 c) 31 d) 44 e) none of these1 solutions Answer 172500 by scott8148(6628)   on 2009-11-01 17:01:21 (Show Source): You can put this solution on YOUR website!32^2 = 1024 44^2 = 1936
 Exponential-and-logarithmic-functions/233656: Can you help me write an equation for the power function, and state its power and constant of variation? X- 1 8 27 64 125 216 Y- 2 4 6 8 10 121 solutions Answer 172499 by scott8148(6628)   on 2009-11-01 16:55:54 (Show Source): You can put this solution on YOUR website!the x values are the cubes of the first six numbers the y values are the first six numbers doubled so x = (y/2)^3 or, y = 2 [x^(1/3)] ___ this could also be two times the cuberoot of x so the power is 1/3 and the constant of variation is 2
 Systems-of-equations/232059: this is my problem x+3y=-4 2x+2y=-1 and my question says solve by the elimination methos.. whats the answer?1 solutions Answer 171598 by scott8148(6628)   on 2009-10-27 15:43:54 (Show Source): You can put this solution on YOUR website!multiplying the 1st equation by -2 gives ___ -2x - 6y = 8 adding to the 2nd equation gives ___ -4y = 7 (x is ELIMINATED) y = -7/4 substituting ___ x + 3(-7/4) = -4 ___ x = 5/4
 Permutations/231962: My teacher and I cannot figure this out. Please help us. A lodge has 50 members of whom six are physicians. In how many ways can you choose a committe of 10 that the committe contains at least three physicians?1 solutions Answer 171556 by scott8148(6628)   on 2009-10-27 13:10:24 (Show Source): You can put this solution on YOUR website!think of the committee as two sub-committees, Physicians and Non-physicians there is 1 way to have 6 Physicians (6C6) on the committee and 44C4 ways to fill the other 4 spots ___ (6C6 * 44C4) ways there are 6C5 ways to have 5 Physicians and 44C5 ways to fill the remaining spots ___ (6C5 * 44C5) ways for 4 Physicians ___ (6C4 * 44C6) ways for 3 Physicians ___ (6C3 * 44C7) ways the solution is the SUM of all 4
 Human-and-algebraic-language/231409: I'm stumped. The smallest angle of a triangle is 2 degrees more than 1/4 of the largest angle. The middle angle is 2 degrees less than the largest angle. Find the measure of each angle. Thanks 1 solutions Answer 171274 by scott8148(6628)   on 2009-10-25 23:58:40 (Show Source): You can put this solution on YOUR website!let x = largest "smallest angle of a triangle is 2 degrees more than 1/4 of the largest" ___ x/4 + 2 "middle angle is 2 degrees less than the largest angle" ___ x - 2 x + x/4 + 2 + x - 2 = 180 ___ the 2's cancel multiplying by 4 ___ 4x + x + 4x = 720 ___ 9x = 720 ___ x = 80 substituting ___ 80/4 + 2 = 22 substituting ___ 80 - 2 = 78
 Exponents/231203: what is (2x+3y) (2x+y) {foil it} the back of the book says its 4x^2+8xy+3y^2 but idk why plz explain :) the lesson is multiplying binomials 1 solutions Answer 171152 by scott8148(6628)   on 2009-10-25 16:15:20 (Show Source): You can put this solution on YOUR website!FOIL ___ First terms, Outside terms, Inside terms, Last terms F ___ 2x * 2x = 4x^2 O ___ 2x * y = 2xy I ___ 3y * 2x = 6xy L ___ 3y * y = 3y^2 combining like terms ___ 4x^2 + 8xy + 3y^2
 Linear_Equations_And_Systems_Word_Problems/230816: 5. An accountant walks part of the way and takes the bus the remaining part of the way to work. The total distance from his house to work is 23 miles. He walks at the rate of 4 miles per hour while the bus travels at a speed of 35 miles per hour. The total trip time from his house to work is 2 hours. Calculate the distance the account travels by foot and the distance the accountant travels by bus This is what I came up with so far: Dw+Db=23 Dw/4 + Db/35=2 DW= Distance walked DB=Distance bused1 solutions Answer 170943 by scott8148(6628)   on 2009-10-24 11:33:31 (Show Source): You can put this solution on YOUR website!good so far... w = 23 - b substituting ___ ((23 - b) / 4) + (b / 35) = 2 multiplying by 140 (LCD) ___ 805 - 35b + 4b = 280 adding 31b-280 ___ 525 = 31b ___ 525/31 = b substituting ___ w = 23 - 525/31
 Travel_Word_Problems/230781: Respectfull tutor!!plz answer immediatly iam in hurry.Thankyou.The question is:James travel from Rawalpindi to lahore at a specific speed.He returned from there at a speed 5knm/h more than the speed he came.The distance between Rawalpindi to lahore is 380km.Total time taken by him to go and return is 8 hours.Find his speed both for going and returning.1 solutions Answer 170936 by scott8148(6628)   on 2009-10-24 11:18:43 (Show Source): You can put this solution on YOUR website!time = distance / rate (380 / r) + (380 / (r + 5)) = 8 dividing by 4 ___ (95 / r) + (95 / (r + 5)) = 2 multiplying by r(r+5) ___ 95r + 475 + 95r = 2r^2 + 10r subtracting 190r+475 ___ 0 = 2r^2 - 180r - 475 use quadratic formula to find r
 Rational-functions/230617: My Algebra II teacher gave us a graph with two lines on it. The numbers are 8,000 to 20,000 on the Y Axis (which is the population) and 1970-2005 on the X Axis (which is the year). I'm asked to find the population of 2 cities (which are the 2 lines) on the graph using their slopes in the years 2015, 2024, and 1965. I've figured out that the slope of one line is 160. Where do I go from there?1 solutions Answer 170830 by scott8148(6628)   on 2009-10-23 16:21:21 (Show Source): You can put this solution on YOUR website!use the point-slope form of the linear equations [(y-known) - (y-projected)] = (slope) * [(x-known) - (x-projected)] (x-known , y-known) is the point on the y-axis x-projected is the year for the population you're trying to find
 Trigonometry-basics/230618: How do I solve for x when cos^2 x = sin x?1 solutions Answer 170827 by scott8148(6628)   on 2009-10-23 16:07:16 (Show Source): You can put this solution on YOUR website!using the trig identity cos^2 + sin^2 = 1 ___ so cos^2 = 1 - sin^2 substituting ___ 1 - sin^2 x = sin x ___ 0 = sin^2 x + sin x - 1 using quadratic formula __ sin x = (-1 ± √5) / 2
 Travel_Word_Problems/230652: Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State answer for both variables. There were 500 people at a play. The admission price was \$2.00 for adults and \$1.00 for children. The admission receipts were \$690.00. How many adults and children attended?1 solutions Answer 170820 by scott8148(6628)   on 2009-10-23 15:53:09 (Show Source): You can put this solution on YOUR website!"There were 500 people at a play" ___ a + c = 500 "\$2.00 for adults and \$1.00 for children. The admission receipts were \$690.00" ___ 2a + c = 690 subtracting 1st eqn from 2nd eqn ___ a = 190 substituting ___ 190 + c = 500 ___ c = 310
 Graphs/230525: I could use some help with a linear inequality. The question is a word problem and it says- Leo held a garage sale. He priced all the items at a dime or a quarter. His sales totaled less than \$5.00. Write a linear inequality that describes the situation and then graph it. I have 10x + 25y > 5 I think I am missing something. Thanks for any help you can give me.1 solutions Answer 170697 by scott8148(6628)   on 2009-10-23 00:23:05 (Show Source): You can put this solution on YOUR website!you're doing fine, EXCEPT, when you ignore the dime and quarter decimals, the 5 needs to be 500
 expressions/230478: A line segment joins the points (9,11) and (61,319) in the Cartesian plane. Including its end points, how many lattice points does this line segment contain?1 solutions Answer 170684 by scott8148(6628)   on 2009-10-22 22:25:44 (Show Source): You can put this solution on YOUR website!the slope of the line is 308/52 this reduces to 77/13 ___ these are the integer spaces between the lattice points (9, 11), (22, 88), (35, 165), (48, 242), (61, 319) 5 points
 Linear-equations/230494: this question is from a work sheet: thirty plus twice a larger number equals 100. find the number. HELP ME PLEASE1 solutions Answer 170677 by scott8148(6628)   on 2009-10-22 22:07:16 (Show Source): You can put this solution on YOUR website!let n = number "thirty plus twice a larger number equals 100" ___ 30 + 2n = 100 subtracting 30 ___ 2n = 70 dividing by 2 ___ n = 35
 Linear-equations/230493: this question is from a work sheet: thirty plus twice a larger number equals 100. find the number. HELP ME PLEASE1 solutions Answer 170676 by scott8148(6628)   on 2009-10-22 22:06:04 (Show Source): You can put this solution on YOUR website!let n = number "thirty plus twice a larger number equals 100" ___ 30 + 2n = 100 subtracting 30 ___ 2n = 70 dividing by 2 ___ n = 35
 Expressions-with-variables/230496: whats 3x+7=-x-1 (-) is a negative (so its 3x+7=negative x, negative 1)1 solutions Answer 170674 by scott8148(6628)   on 2009-10-22 22:03:15 (Show Source): You can put this solution on YOUR website!adding x-7 ___ 4x = -8 dividing by 4 ___ x = -2
 Age_Word_Problems/230488: A can do a piece of work in 36 days, B in 54 days and C in 72 days. All of them began together but A left 8 days and B left 12 days before the completion of the work. How many days in all did C put in till the entire work was finished? 1 solutions Answer 170673 by scott8148(6628)   on 2009-10-22 22:00:46 (Show Source): You can put this solution on YOUR website!let x = "total days to complete work" (x - 8)/36 + (x - 12)/54 + x/72 = 1 multiplying by 216 (LCD) ___ 6x - 48 + 4x - 48 + 3x = 216 ___ 13x = 312 x = 24
 Travel_Word_Problems/230188: My question is this. A car travels 504 miles at a certain speed. If the speed had been 14 mi faster the trip could have been made in 3 hours less time. Find the speed. I tried writing it as T=D/R t-3=504/x-14 but i cant seem to get teh answer please help me understand how to get to the answer. Im taking an online math class and it doesnt really have sources to help me, im not in the state of the college to be able to go to a tutor center. thank you . 1 solutions Answer 170488 by scott8148(6628)   on 2009-10-22 12:31:10 (Show Source): You can put this solution on YOUR website!t = 504 / r t - 3 = 504 / r+14 substituting ___ 504/r - 3 = 504 / r+14 multiplying by r(r+14) ___ 504r + 7056 - 3r^2 - 42r = 504r subtracting 504r and dividing by -3 ___ r^2 + 14r - 2352 = 0 factoring ___ (r + 56)(r - 42) = 0 r - 42 = 0 ___ r = 42
 Miscellaneous_Word_Problems/230014: A lot is in the shape of a right triangle. The shorter leg measures 60 meters. The hypotenuse is 20 meters longer than the length of the longer leg. How long is the longer leg?1 solutions Answer 170417 by scott8148(6628)   on 2009-10-21 22:04:33 (Show Source): You can put this solution on YOUR website!let x="longer leg"; so x+20=hypotenuse 60^2 + x^2 = (x + 20)^2 x^2 + 3600 = x^2 + 40x + 400 3200 = 40x 80 = x