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# Recent problems solved by 'Alan3354'

Alan3354 answered: 30973 problems
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 Linear-equations/394473: 1) write an equation in slope intercept form that passes through in parallel (2,-4) y=4x-6 2) write an equation in slope intercept form that passes through in perpendicular (-2,3) y=1/2x-11 solutions Answer 279878 by Alan3354(30993)   on 2011-01-13 20:12:05 (Show Source): You can put this solution on YOUR website!A line and a point example. Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2) ----------------- Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y. 9x+3y = 36 3y= - 9x + 36 y = -3x + 12 The slope, m = -3 ------------------ The slope of lines parallel is the same. The slope of lines perpendicular is the negative inverse, m = +1/3 ---------------- Use y = mx + b and the point (1,2) to find b. 2 = (1/3)*1 + b b = 5/3 The equation is y = (1/3)x + 5/3 (slope-intercept form) x - 3y = -5 (standard form) ------------------------ For further assistance, or to check your work, email me via the thank you note, or at Moral Loophole@aol.com
 Linear-equations/394446: Write an equation of the line that passes through (1,-1) and is perpendicular to the line y = - 1/2x +61 solutions Answer 279863 by Alan3354(30993)   on 2011-01-13 19:46:08 (Show Source): You can put this solution on YOUR website!A line and a point example. Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2) ----------------- Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y. 9x+3y = 36 3y= - 9x + 36 y = -3x + 12 The slope, m = -3 ------------------ The slope of lines parallel is the same. The slope of lines perpendicular is the negative inverse, m = +1/3 ---------------- Use y = mx + b and the point (1,2) to find b. 2 = (1/3)*1 + b b = 5/3 The equation is y = (1/3)x + 5/3 (slope-intercept form) x - 3y = -5 (standard form) ------------------------ For further assistance, or to check your work, email me via the thank you note, or at Moral Loophole@aol.com
 Quadratic_Equations/394439: the area of a rectangle is 6x^2-31x+35 square innches. what is the length and width of the rectangle?1 solutions Answer 279861 by Alan3354(30993)   on 2011-01-13 19:44:08 (Show Source): You can put this solution on YOUR website!Not sufficient info. It could be 1 by 6x^2-31x+35, or 5 by (6x^2-31x+35)/5, or any of an infinite number of combinations.
 Rectangles/394338: The length of a rectangle is twice its width. Find the dimensions of the rectangle in inches if its area is 288 square inches.1 solutions Answer 279791 by Alan3354(30993)   on 2011-01-13 17:11:59 (Show Source): You can put this solution on YOUR website!288/2 = 144 sqrt(144) = 12 --> 12 by 24
 percentage/394336: how do you make a circle graph from numbers provided1 solutions Answer 279790 by Alan3354(30993)   on 2011-01-13 17:08:30 (Show Source): You can put this solution on YOUR website!Your question is not clear.
 Triangles/394287: if a triangle has a 90, 25, and 65 degree angles, and the length of the triangle is 2.3 cm, what are the length of the other too sides?1 solutions Answer 279774 by Alan3354(30993)   on 2011-01-13 16:08:53 (Show Source): You can put this solution on YOUR website!There is no "length of the triangle." ----------------------------- Which angle is opposite the side that's 2.3 cm?
 Rational-functions/394294: x^2-7x+101 solutions Answer 279764 by Alan3354(30993)   on 2011-01-13 15:40:05 (Show Source): You can put this solution on YOUR website!Do you have a question?
 Expressions-with-variables/394237: There are 8oz in a 1/2 pound. how many oz.in 7 3/4 pounds?1 solutions Answer 279720 by Alan3354(30993)   on 2011-01-13 12:47:03 (Show Source): You can put this solution on YOUR website!124
 Travel_Word_Problems/394204: An airplane flies 490 miles with the wind and 340 against the wind in the same length of time. If the speed of the wind is 30, what is the speed of the airplane in still air?1 solutions Answer 279719 by Alan3354(30993)   on 2011-01-13 12:46:20 (Show Source): You can put this solution on YOUR website!The airspeed of the plane is the average (490 + 340)/2 = 415 mph The windspeed is the difference = 75 mph, not 30. ------------- This problem has no solution.
 Equations/394233: 3/4x + 1 = x + 5/6 I know the answer is x=2/3 ut dont know how they got it. Thanks1 solutions Answer 279716 by Alan3354(30993)   on 2011-01-13 12:42:16 (Show Source): You can put this solution on YOUR website!3/4x + 1 = x + 5/6 ----------------- Multiply thru by 24 18x + 24 = 24x + 20 Collect terms 4 = 6x x = 2/3
 Inequalities/394203: Solve (v+1)^2-72=0 , where v is a real number. Simplify your answer as much as possible. If there is more than one solution, separate them with commas. 1 solutions Answer 279715 by Alan3354(30993)   on 2011-01-13 12:38:30 (Show Source): You can put this solution on YOUR website!(v+1)^2-72=0 (v+1)^2 = 72 v+1 = ± sqrt(72) v = -1 ± 6sqrt(2)
 Problems-with-consecutive-odd-even-integers/394232: the sum of 6 times an integer and its square is 135. find BOTH integers.1 solutions Answer 279713 by Alan3354(30993)   on 2011-01-13 12:33:44 (Show Source): You can put this solution on YOUR website!9 is one. YOU find the OTHER ONE.
 Problems-with-consecutive-odd-even-integers/394230: The sum of the consecutive number is 256.Find the number.1 solutions Answer 279711 by Alan3354(30993)   on 2011-01-13 12:29:36 (Show Source): You can put this solution on YOUR website!If it's one consectutive number, it's 256.
 Percentage-and-ratio-word-problems/394206: The sum of an even integer and two the next even integer1 solutions Answer 279710 by Alan3354(30993)   on 2011-01-13 12:28:14 (Show Source): You can put this solution on YOUR website!n = the number = n + (n+2) + (n+4) = 3n + 6 ---------- Notice it's 3x the middle number.
 logarithm/394227: The pH of any solution is defined as pH= -log base 10 of[H+]. What is the pH of pure water? 1 solutions Answer 279709 by Alan3354(30993)   on 2011-01-13 12:25:51 (Show Source): You can put this solution on YOUR website!Water is neutral with a pH of 7
 Surface-area/394212: how many 20cms tubes can fit into 100cms tube with 2.5cms pitch and its formula1 solutions Answer 279699 by Alan3354(30993)   on 2011-01-13 12:06:31 (Show Source): You can put this solution on YOUR website!Is that the length, or the diameter? What does pitch mean?
 Exponents/394215: I think I am doing this problem wrong. If I am can you help me to find the mistake I am making? simplify (10y^7)^4 (6y^-8)^-3 This is multiplication and what I have so far is 10^4(y^7)^4(1/6)^3(1/y^8)^3 then I got 10000y^11(1/216)(1/y^11) I feel like that is not right please let me know what I am doing wrong. I have checked the book and I'm not understanding it a whole lot.1 solutions Answer 279697 by Alan3354(30993)   on 2011-01-13 11:58:44 (Show Source): You can put this solution on YOUR website!simplify = = = -------------------- You added the exponents where you should have multiplied. ---------------------- This is multiplication and what I have so far is 10^4(y^7)^4(1/6)^3(1/y^8)^3 then I got 10000y^11(1/216)(1/y^11)
 real-numbers/394166: What does my teacher want me to do when she puts this item on my study guide? "p/q where p & q are integers"1 solutions Answer 279653 by Alan3354(30993)   on 2011-01-13 09:32:17 (Show Source): You can put this solution on YOUR website!Ask her.
 Travel_Word_Problems/393818: Tracy leaves for work at 8am, traveling at 36mph. Sarah leaves at 8:05 (going 50mph) to catch her to give her her lunch. At what time will Sarah catch Tracy?1 solutions Answer 279549 by Alan3354(30993)   on 2011-01-12 21:29:27 (Show Source): You can put this solution on YOUR website!Tracy leaves for work at 8am, traveling at 36mph. Sarah leaves at 8:05 (going 50mph) to catch her to give her her lunch. At what time will Sarah catch Tracy? ---------------- In 5 minutes, Tracy goes (36/60)*5 miles = 3 miles Sarah's speed relative to Tracy is 14 mi/hr (50 - 36) It takes 3/14 hour to catch Tracy, =~ 13 minutes. 8:05 + 13 = 8:18
 Travel_Word_Problems/393962: a freight train travels 1 mile in 1 minute 20 seconds. At this rate, how many miles will the train travel in 1 hour?1 solutions Answer 279511 by Alan3354(30993)   on 2011-01-12 19:35:51 (Show Source): You can put this solution on YOUR website!a freight train travels 1 mile in 1 minute 20 seconds. At this rate, how many miles will the train travel in 1 hour? ----------- 1:20 = 80 seconds 1 hour = 3600 seconds 3600/80 = 45 --> 45 miles
 Triangles/393776: base of triangle is 12 units . if length is 2 1/2 times base what is perimeter of triangle1 solutions Answer 279439 by Alan3354(30993)   on 2011-01-12 14:43:58 (Show Source): You can put this solution on YOUR website!The length of what?
 Equations/393763: I need Help in Math! Help Me Please1 solutions Answer 279432 by Alan3354(30993)   on 2011-01-12 14:23:59 (Show Source): You can put this solution on YOUR website!You'll have to be more specific.
 test/393765: which point lies on the graph of 2x-y+z=0? A.(0,4,-8) B.(0,2,4) c.(12,-6,6) D.(0,-5,-5)1 solutions Answer 279418 by Alan3354(30993)   on 2011-01-12 13:27:58 (Show Source): You can put this solution on YOUR website!Sub the values for x, y & z and find out.
 Rectangles/393767: The lengths of the sides of a rectangle are in the ratio 5 : 3. The perimeter is 32 cm. What are the dimensions?1 solutions Answer 279417 by Alan3354(30993)   on 2011-01-12 13:24:13 (Show Source): You can put this solution on YOUR website!L + W = 1/2 the perimeter = 16 cm 5+3 = 8 16/8 = 2 ------- L = 5*2 = 10 cm W = 3*2 = 6 cm
 Evaluation_Word_Problems/393707: Suppose you are given the sum and the difference of two real numbers. How can you figure out what the numbers are themselves? Explain your reasoning clearly step by step. 1 solutions Answer 279396 by Alan3354(30993)   on 2011-01-12 11:38:13 (Show Source): You can put this solution on YOUR website!eg x - y = a x + y = b ---------- Add 2x = a+b x = (a+b)/2 ------------ y = x - a or y = b - x
 Problems-with-consecutive-odd-even-integers/393721: if n is an odd integer, the next two consecutive odd integers are?1 solutions Answer 279393 by Alan3354(30993)   on 2011-01-12 11:35:40 (Show Source): You can put this solution on YOUR website!Odd.
 Points-lines-and-rays/393714: The equations of two lines are 2x – y + 3 = 0 and 4x – 2y – 8 = 0. Find the horizontal distance and vertical distance between the two lines. 1 solutions Answer 279392 by Alan3354(30993)   on 2011-01-12 11:32:17 (Show Source): You can put this solution on YOUR website!The equations of two lines are 2x – y + 3 = 0 and 4x – 2y – 8 = 0. Find the horizontal distance and vertical distance between the two lines. ------------------- 2x – y = -3 2x – y = 4 (2nd eqn divided by 2) -------- y-int of 1st eqn = 3 y-int of 2nd = -4 Vertical distance = 7 ------------------ x-int of 1st = -1.5 x-int of 2nd = 2 Horiz distance = 3.5
 Points-lines-and-rays/393711: Determine the equation of each circle. a) centre (2,-5) and radius 7 b) centre (-1,3) and passing through (4,1) 1 solutions Answer 279389 by Alan3354(30993)   on 2011-01-12 11:23:30 (Show Source): You can put this solution on YOUR website! Determine the equation of each circle. a) centre (2,-5) and radius 7 -------------------------- b) centre (-1,3) and passing through (4,1) Find the distance between the 2 points, that's the radius. Then
 Rational-functions/393696: how would I solve ?1 solutions Answer 279385 by Alan3354(30993)   on 2011-01-12 11:14:49 (Show Source): You can put this solution on YOUR website!There's nothing to solve. It's not an equation, there's no equal sign. --------------- It can be simplified. (x-4)/(4-x) = -1
 Mixture_Word_Problems/393708: JEN HAS A SOLUTION THAT IS 55% ISOPROPYL ALCOHOL AND A SOLUTION THAT IS 20% ISOPROPYL ALCOHOL. HOW MUCH OF EACH SHOULD SHE USE TO OBTAIN 250 ML OF A SOLUTION THAT IS 41% ISOPROPYL ALCOHOL?1 solutions Answer 279384 by Alan3354(30993)   on 2011-01-12 11:10:28 (Show Source): You can put this solution on YOUR website!JEN HAS A SOLUTION THAT IS 55% ISOPROPYL ALCOHOL AND A SOLUTION THAT IS 20% ISOPROPYL ALCOHOL. HOW MUCH OF EACH SHOULD SHE USE TO OBTAIN 250 ML OF A SOLUTION THAT IS 41% ISOPROPYL ALCOHOL? -------------- f = amount of 55% t = amount of 20% ------- f + t = 250 (total volume) 0.55f + 0.2t = 0.41*250 (total alcohol) You can solve them?
 Miscellaneous_Word_Problems/393635: a sewing box is 25 cm long. 20 cm wide and 6cm high. what is it volume?1 solutions Answer 279378 by Alan3354(30993)   on 2011-01-12 10:29:51 (Show Source): You can put this solution on YOUR website! a sewing box is 25 cm long. 20 cm wide and 6cm high. what is it volume? -------- It's the product, 25*20*6 cc