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# Recent problems solved by 'Alan3354'

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 Angles/714479: Suppose that angles measure 2x and 4x+6 are supplementary. What are the measures of the angles1 solutions Answer 438806 by Alan3354(30993)   on 2013-02-14 08:57:18 (Show Source): You can put this solution on YOUR website!Suppose that angles measure 2x and 4x+6 are supplementary. What are the measures of the angles ------------- 2x + (4x+6) = 180 degs
 Travel_Word_Problems/714436: how long does it take to travel 90 m?1 solutions Answer 438801 by Alan3354(30993)   on 2013-02-14 06:52:02 (Show Source): You can put this solution on YOUR website!how long does it take to travel 90 m? ------------ It's speed dependent. The faster you go, the less time it takes.
 logarithm/714356: Logxy^41 solutions Answer 438781 by Alan3354(30993)   on 2013-02-13 21:38:38 (Show Source): You can put this solution on YOUR website!Logxy^4 ================== Do you have a question?
 Travel_Word_Problems/714283: What is the gravitational force between following two objects: Object A is 7.0 X 10^30kg and Object B is 1.0 X 10^9kg. The two objects are 5,000 km apart.1 solutions Answer 438774 by Alan3354(30993)   on 2013-02-13 20:40:47 (Show Source): You can put this solution on YOUR website!What is the gravitational force between following two objects: Object A is 7.0 X 10^30kg and Object B is 1.0 X 10^9kg. The two objects are 5,000 km apart. ------------ F = G*m1*m2/d^2 F = G*7E30*1E9/(5E6)^2 G = 6.673×10-11 N-m^2/kg^2 ------- F = 6.673*7E28/(25E12) F = 1.8684E16 Newtons or 1.8684*10^16 Newtons --------------------- PS The other tutor's answer is for 5000 meters, not 5000 km
 test/714312: Basic factoring of x^2+2x-481 solutions Answer 438765 by Alan3354(30993)   on 2013-02-13 20:23:53 (Show Source): You can put this solution on YOUR website!Basic factoring of x^2+2x-48 -------------- Find a pair of factors of 48 that differ by 2
 Numbers_Word_Problems/714273: the sum of three consecutive integers is -204.what is the largest integer?1 solutions Answer 438764 by Alan3354(30993)   on 2013-02-13 20:22:44 (Show Source): You can put this solution on YOUR website!the sum of three consecutive integers is -204.what is the largest integer? -------- -204/3 = -68, the middle integer
 Linear-systems/714327: please help solve 6x-5y=3 x-9y=251 solutions Answer 438763 by Alan3354(30993)   on 2013-02-13 20:21:29 (Show Source): You can put this solution on YOUR website!6x-5y=3 x-9y=25 ----------- Multiply the 2nd eqn by 6, then subtract
 Exponential-and-logarithmic-functions/714274: Solve the equation 1 solutions Answer 438762 by Alan3354(30993)   on 2013-02-13 20:20:02 (Show Source): You can put this solution on YOUR website!Solve the equation ----------- 625x + 1 = 1024x 1 = 399x x = 1/399
 Linear-systems/714323: please help solve 3x-4y=8 2x+y=91 solutions Answer 438761 by Alan3354(30993)   on 2013-02-13 20:16:23 (Show Source): You can put this solution on YOUR website! 3x-4y=8 2x+y=9 ========== Multiply the 2nd eqn by 4, then add them
 Polygons/714177: The measure of each interior angle of a regular polygon is eight times that of an exterior angle. How many sides does the polygon have? 1 solutions Answer 438740 by Alan3354(30993)   on 2013-02-13 18:34:06 (Show Source): You can put this solution on YOUR website!The measure of each interior angle of a regular polygon is eight times that of an exterior angle. How many sides does the polygon have? ------------------- 8*ext + ext = 180 ext = 20 degs n = 360/20 n = 18 sides
 Graphs/714184: y-(-5)=2/3(x-7) the answer is y=2/3x-29/3 PlEASE tell me how they get this answer where does the -29 come from?? tthank you1 solutions Answer 438719 by Alan3354(30993)   on 2013-02-13 15:49:28 (Show Source): You can put this solution on YOUR website!y-(-5)=2/3(x-7) ----------- y + 5 = (2x-14)/3 5 = 15/3 y = 2x/3 - 14/3 - 15/3 y = 2x/3 - 29/3
 Graphs/714174: Show steps please. A circle has the equation x^2+y^2-x-4y+4=0 Graph the circle using the center(h,k) and radius r. find the intercepts of the graph. please any help would be great!1 solutions Answer 438712 by Alan3354(30993)   on 2013-02-13 15:32:51 (Show Source): You can put this solution on YOUR website!A circle has the equation x^2+y^2-x-4y+4=0 Graph the circle using the center(h,k) and radius r. find the intercepts of the graph. ----------------------- x^2+y^2-x-4y = -4 Complete the square for x and y terms x^2 - x + y^2 - 4y = -4 x^2 - x + 1/4 + y^2 - 4y + 4 = -4 + 1/4 + 4 = 1/4 Center at (1/2,2) r = 1/2 ============== Tangent to the y-axis at (0,2) No x-intercept ================ DL the FREE graph software at http://www.padowan.dk --- Use F6 to enter as is
 Equations/714123: How do I solve y = -8x - 2?1 solutions Answer 438689 by Alan3354(30993)   on 2013-02-13 12:26:54 (Show Source): You can put this solution on YOUR website!How do I solve y = -8x - 2? -------------- It's solved for y.
 Travel_Word_Problems/714117: I drive from town A to my home and then to town B. The journey time is 30 minutes. What is my average speed? Show your working.1 solutions Answer 438688 by Alan3354(30993)   on 2013-02-13 12:26:01 (Show Source): You can put this solution on YOUR website!I drive from town A to my home and then to town B. The journey time is 30 minutes. What is my average speed? ----------------- d = r*t r = d/t r = d/30 in distance units/minute
 Linear-equations/714083: Bill leaves his house for Makayla's house riding his bicycle at 8 miles per hour. At the same time, Makayla leaves her house heading toward Bill's house walking a 3 miles per hour. Write a system of equations to represent the distance, d, each is from Makayla's house in hours, h. They live 8.25 miles apart. Solve the system to determine how long they travel before meeting. Have tried 4 times...cannot figure out how to set up the equation...I can sole it once it is set up. I tried: 8.25=d-8h 8.25=d-3y 8.25=d-8h 8.25=d-3h x=8.25d-3h x=8.25d-3h 8d-h=8.25 3d-h=8.25 1 solutions Answer 438677 by Alan3354(30993)   on 2013-02-13 11:35:45 (Show Source): You can put this solution on YOUR website!Bill leaves his house for Makayla's house riding his bicycle at 8 miles per hour. At the same time, Makayla leaves her house heading toward Bill's house walking a 3 miles per hour. Write a system of equations to represent the distance, d, each is from Makayla's house in hours, h. They live 8.25 miles apart. Solve the system to determine how long they travel before meeting. --------------------------- There are 2 distances --> 2 equations for Bill: d = 8.25 - 8t, d in miles, t in hours For Makayla: d = 0 + 3t = 3t --------------- They meet when they're the same distance from the house. 8.25 - 8t = 3t 11t = 8.25 t = 0.75 hours ==========================
 Numeric_Fractions/714089: -7/18 plus 1/91 solutions Answer 438670 by Alan3354(30993)   on 2013-02-13 10:46:07 (Show Source): You can put this solution on YOUR website!-7/18 plus 1/9 ------ =
 Sequences-and-series/714078: The average of two numbers is 20 and their difference is 6. What is their product?1 solutions Answer 438669 by Alan3354(30993)   on 2013-02-13 10:45:18 (Show Source): You can put this solution on YOUR website!The average of two numbers is 20 and their difference is 6. What is their product? --------------- a + b = 40 a - b = 6 --------------- Add
 Exponents/714096: What is "d" to the second power multiplied by "d" to the 4th power?1 solutions Answer 438668 by Alan3354(30993)   on 2013-02-13 10:44:32 (Show Source): You can put this solution on YOUR website!What is "d" to the second power multiplied by "d" to the 4th power?
 Miscellaneous_Word_Problems/714081: find three different words whose values are equal to 100 and 36 and 25.1 solutions Answer 438666 by Alan3354(30993)   on 2013-02-13 10:34:20 (Show Source): You can put this solution on YOUR website!find three different words whose values are equal to 100 and 36 and 25. -------------- What is the value of a word?
 Triangles/714094: angle a is 61 degrees and side b is 39 feet how long is side a?1 solutions Answer 438665 by Alan3354(30993)   on 2013-02-13 10:32:50 (Show Source): You can put this solution on YOUR website!angle a is 61 degrees and side b is 39 feet how long is side a? -------- Not enough info. Is this a triangle, or something else?
 Quadratic_Equations/714092: Solve by factoring 3a^+5=-8a1 solutions Answer 438664 by Alan3354(30993)   on 2013-02-13 10:31:32 (Show Source): You can put this solution on YOUR website!Solve by factoring 3a^+5=-8a a = 0 ---- Do you want the complex roots?
 Volume/714080: The volumes of two spheres are 729 in3 and 27 in3. What is the ratio of their radii, rounded to the nearest whole number?1 solutions Answer 438663 by Alan3354(30993)   on 2013-02-13 10:19:16 (Show Source): You can put this solution on YOUR website!The volumes of two spheres are 729 in3 and 27 in3. What is the ratio of their radii, rounded to the nearest whole number? ----------- 729/27 = 27 --> Volumes 27:1 --> radii 3:1 ============== You can see why, right?
 Triangles/714058: two cyclists,elvis and james start of the same time and the same place.Elvis travels due east at 9km per hour.James due north at 12km per hour.how far are they from each other after one hour.1 solutions Answer 438662 by Alan3354(30993)   on 2013-02-13 10:10:11 (Show Source): You can put this solution on YOUR website!two cyclists,elvis and james start of the same time and the same place.Elvis travels due east at 9km per hour.James due north at 12km per hour.how far are they from each other after one hour. ---------------------- It's a right triangle with legs of 9 km and 12 km ----
 Travel_Word_Problems/714087: How many seconds wil it take me to travel 211 feet if I am traveling 25 miles per hour?1 solutions Answer 438661 by Alan3354(30993)   on 2013-02-13 10:08:16 (Show Source): You can put this solution on YOUR website!duplicate
 Travel_Word_Problems/714086: How many seconds will it take to travel 369 feet if I am traveling at 25 miles per hour?1 solutions Answer 438660 by Alan3354(30993)   on 2013-02-13 10:07:53 (Show Source): You can put this solution on YOUR website!duplicate
 Travel_Word_Problems/714088: if a car was going 35mph, how long would it take to get 956 ft to your destination?1 solutions Answer 438659 by Alan3354(30993)   on 2013-02-13 10:07:20 (Show Source): You can put this solution on YOUR website!Do it like this one: ----- how many seconds will it take me to travel 369 feet, if I am traveling at 25 miles per hour? --------------- 15 mi/hr = 22 ft/sec (you can confirm that) ---- 25 mi/hr = 25*(15/22) ft/sec d = r*t t = d/r
 Travel_Word_Problems/714085: How many seconds will it take me to travel 211 feet if I am traveling at 25 miles per hour?1 solutions Answer 438658 by Alan3354(30993)   on 2013-02-13 10:06:43 (Show Source): You can put this solution on YOUR website!Do it like this one: ---- how many seconds will it take me to travel 369 feet, if I am traveling at 25 miles per hour? --------------- 15 mi/hr = 22 ft/sec (you can confirm that) ---- 25 mi/hr = 25*(15/22) ft/sec d = r*t t = d/r
 Travel_Word_Problems/714084: how many seconds will it take me to travel 369 feet, if I am traveling at 25 miles per hour?1 solutions Answer 438657 by Alan3354(30993)   on 2013-02-13 10:06:08 (Show Source): You can put this solution on YOUR website!how many seconds will it take me to travel 369 feet, if I am traveling at 25 miles per hour? --------------- 15 mi/hr = 22 ft/sec (you can confirm that) ---- 25 mi/hr = 25*(15/22) ft/sec d = r*t t = d/r
 Linear-equations/714062: Write the equation of a line in slope-intercept form that is parallel to the line y=1/2x+7 and containing point (-4, 7). 1 solutions Answer 438656 by Alan3354(30993)   on 2013-02-13 09:37:27 (Show Source): You can put this solution on YOUR website!Write the equation of a line in slope-intercept form that is parallel to the line y=1/2x+7 and containing point (-4, 7). --------------- The slope of the line m = 1/2 Use y = mx + b and the point to find b, the y-intercept. 7 = (1/2)*-4 + b b = 9 --------- --> y = (1/2)x + 9 or x - 2y = -18 ------------- PS don't put a space after the comma in (-4,7)
 Rate-of-work-word-problems/714063: One maid can clean the house three times faster than another. Working together they can clean the entire house in three hours. How long would it take the faster maid cleaning alone?1 solutions Answer 438655 by Alan3354(30993)   on 2013-02-13 09:33:13 (Show Source): You can put this solution on YOUR website!One maid can clean the house three times faster than another. Working together they can clean the entire house in three hours. How long would it take the faster maid cleaning alone? ------------- 3 times faster means she could clean 3 more houses in the time of the slower maid. 3 more = 4 houses --> 3 times faster is 4 times as fast. ------ t = time of the faster maid then 4t = time of the slower maid ============= 3(1/t + 1/(4t)) = 1 3(4 + 1) = 4t 3(5) = 4t t = 15/4 = 3.75 hours for the faster maid working alone. ======================================== 3 times faster is not the same as 3 times as fast. ---- If something is 1 times faster, it's 100% faster, or 100% greater = 2 times. 1 time faster can't be the same speed (or amount). 50% faster is not half as fast, right?