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Alan3354 answered: 30973 problems
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Trigonometry-basics/522763: Find all solutions of the equation in the interval [0, 2pi). sin(2x)=((-sqrt(3))/2) 1 solutions Answer 346982 by Alan3354(30993)   on 2011-10-28 11:40:09 (Show Source): You can put this solution on YOUR website! sin(2x)=((-sqrt(3))/2) --------- 2x = 240, 300, 600, 660 degs x = 120, 150, 300, 330 degs or x = 2pi/3, 5pi/6, 5pi/3, 11pi/6 radians

Matrices-and-determiminant/522768: i need to learn how to get the system of solving matrices i keep screwing them up and my math teacher is to dumb to even help us any tips?????? 1 solutions Answer 346980 by Alan3354(30993)   on 2011-10-28 11:36:51 (Show Source): You can put this solution on YOUR website! It's an error prone business. You just have to be careful. There are sites that go to 10x10, maybe higher, you can use those to check your answers.

Unit_Conversion_Word_Problems/522765: You tell your friend that it is 100 metres across the bay. They want to know how many feet that is? 1 solutions Answer 346978 by Alan3354(30993)   on 2011-10-28 11:29:00 (Show Source): You can put this solution on YOUR website! Convert the meters to feet. You have to look it up, or remember it.

Mixture_Word_Problems/522737: how do i find the equation of the parabola, y=ax^2+bx+c, that passes through the following three points : (-2,40),(1,7),(3,15)? 1 solutions Answer 346976 by Alan3354(30993)   on 2011-10-28 11:19:54 (Show Source): You can put this solution on YOUR website! Another method, using determinants: ---------- Parabola x y x^2 Coeff Point 1 -2 40 4 1 Point 2 1 7 1 1 Point 3 3 15 9 1 -------------- I have an Excel sheet that does these. --> y = 3x^2 - 8x + 12 --------------------------- That was no help at all, except for confirming the solution.

expressions/522756: need help seeing if these two expressions are equivalent -2(3m-7) 14-6m You put -1 in for M 1 solutions Answer 346975 by Alan3354(30993)   on 2011-10-28 11:12:36 (Show Source): You can put this solution on YOUR website! need help seeing if these two expressions are equivalent -2(3m-7) 14-6m You put -1 in for M ----------------- -2(3m-7) = -2*3m + -2*(-7) = -6m + 14 = 14 - 6m, so they're equal. -------------- Testing with any number is not proof they're equal. Testing with a number and finding them not equal is sufficient to disprove it, but it's not a sufficient test to prove that they're equal for ALL values of m. ---------

Money_Word_Problems/522718: They needed $486,000 to start the business. They invested in the ratio of 13:14. How much money did Clinton invest? 1 solutions Answer 346970 by Alan3354(30993)   on 2011-10-28 10:04:04 (Show Source): You can put this solution on YOUR website! They needed $486,000 to start the business. They invested in the ratio of 13:14. How much money did Clinton invest? ------------- 13+14 = 27 486000/27 = 18000 ------- 13*18000 = 234000 14*18000 = 252000

Rational-functions/522716: Please help, I just want to double check a answer I got the question is : +- My LCD: 36t after I mulitply everything by 36t and combine like terms I'm left with I just want to make sure that I'm not suppose to cancel out the 36t Thank you for your help 1 solutions Answer 346969 by Alan3354(30993)   on 2011-10-28 10:02:28 (Show Source): You can put this solution on YOUR website! Please help, I just want to double check a answer I got the question is : +- My LCD: 36t after I mulitply everything by 36t and combine like terms I'm left with ----------------------- +- = = 41/36t Your answer is right. Nothing can be canceled.

Travel_Word_Problems/522717: if your car takes 20 miles to the gallon how much money will i spend in gas for a 260 mile trip? 1 solutions Answer 346967 by Alan3354(30993)   on 2011-10-28 09:58:40 (Show Source): You can put this solution on YOUR website! 260 mi/20 mi/gal = 13 gallons Depends on the price.

Triangles/522715: Please Help : The lengths of the sides of a triangle are 7cm, 12cm, 6cm. Is the triangle a right triangle, an acute triangle, or an obtuse triangle? 1 solutions Answer 346966 by Alan3354(30993)   on 2011-10-28 09:57:27 (Show Source): You can put this solution on YOUR website! The lengths of the sides of a triangle are 7cm, 12cm, 6cm. Is the triangle a right triangle, an acute triangle, or an obtuse triangle? --------------- Find the squares of the 3 sides, c^2 = 144, a^2 = 49 & b^2 = 36 ------ If c^2 = the sum of the other 2, it's a right triangle If c^2 < the sum, it's acute. If c^2 > the sum, it's obtuse.

Square-cubic-other-roots/522709: how do i find the square root of 57 and graph it on a number line 1 solutions Answer 346965 by Alan3354(30993)   on 2011-10-28 09:54:31 (Show Source): You can put this solution on YOUR website! how do i find the square root of 57 and graph it on a number line ------------ sqrt(57) = ± 7.55 via a calculator

Miscellaneous_Word_Problems/522690: Translate to an equation: d dimes and q quarters total $2.00 Graph the equation and use the graph to determine three different combinations of dimes and quarters that total $2.00. All that I have come up with is d+q=$2.00. After that I am not sure what to do. 1 solutions Answer 346964 by Alan3354(30993)   on 2011-10-28 09:52:23 (Show Source): You can put this solution on YOUR website! Translate to an equation: d dimes and q quarters total $2.00 Graph the equation and use the graph to determine three different combinations of dimes and quarters that total $2.00. All that I have come up with is d+q=$2.00. After that I am not sure what to do. -------------- d + q is the # of coins 10d + 25q = 200 Where d & q are integers -------- 2d + 5q = 40 5q = 40 - 2d q = 8 - (2/5)d For q to be an integer, d has t be a multiple of 5. d....q 0....8 5....6 10...4 15...2 20...0

Travel_Word_Problems/522710: how long will it take me to get from chicago to L.A. while driving at 40 mph? 1 solutions Answer 346963 by Alan3354(30993)   on 2011-10-28 09:46:10 (Show Source): You can put this solution on YOUR website! d = the distance in miles ------ d = r*t t = d/r = d/40

Geometry_Word_Problems/522693: what is the length of a flag with width 10 miters ? 1 solutions Answer 346962 by Alan3354(30993)   on 2011-10-28 09:39:33 (Show Source): You can put this solution on YOUR website! Any length you want. In miters, or meters, or any units.

Polygons/522511: The interior angle of a regular polygan is six times the exterior angle. Find the number of sides that it has. 1 solutions Answer 346893 by Alan3354(30993)   on 2011-10-27 21:05:37 (Show Source): You can put this solution on YOUR website! I + E = 180 6E + E = 180 E = 180/7 degrees ------------ s = 360/E = 360/(180/7) s = 14 sides

Problems-with-consecutive-odd-even-integers/522456: The product of three consecutive even integers is 480.Find the integers I don't understand this question, what I don't understand is what a consecutive even integer is. Does it mean I need to multiply 480 or divide it by 3? 1 solutions Answer 346870 by Alan3354(30993)   on 2011-10-27 20:31:00 (Show Source): You can put this solution on YOUR website! The product of three consecutive even integers is 480.Find the integers --------- Cube root of 480 = apx 8, the middle number --> 6*8*10 = 480

Coordinate-system/522429: IF a line has a rise of 3 and a run of -5, what is the 1 solutions Answer 346858 by Alan3354(30993)   on 2011-10-27 19:35:13 (Show Source): You can put this solution on YOUR website! The what?

Age_Word_Problems/522423: Beth is four more than three times older than Ted. The sum of their ages is 60. How old is Ted? 1 solutions Answer 346853 by Alan3354(30993)   on 2011-10-27 19:28:32 (Show Source): You can put this solution on YOUR website! Beth is four more than three times older than Ted. The sum of their ages is 60. How old is Ted? ======================= 3 times older is 4 times as old. B = Beth's age, T = Ted's age B = 4T + 3 B + T = 60 (4T+3) + T = 60 5T + 3 = 60 T = 57/5 = 11.4 --------------------- The author of this problem thinks 3 times older is the same as 3 times as old. If that's true, what is 1 time older? The same age? If so, why is it called older? ----------- Don't even mention "100 times thinner." 1 times thinner is zero, so how can something be 100 times thinner, or 10 times closer. English, learn it. It's a bad problem, no integer solution.

Linear_Equations_And_Systems_Word_Problems/522416: (1,-4,3) is the solution to the system: x+y+z=0 x-y+5z=20 5x+y+z=4 true or false 1 solutions Answer 346851 by Alan3354(30993)   on 2011-10-27 19:24:08 (Show Source): You can put this solution on YOUR website! (1,-4,3) is the solution to the system: x+y+z=0 x-y+5z=20 5x+y+z=4 true or false ----------- Sub 1 for x, -4 for y and 3 for z and find out.

Triangles/522418: The measures of the angles of a triangle are x, 2x, and 3x. What is the measure of the largest angle? 1 solutions Answer 346848 by Alan3354(30993)   on 2011-10-27 19:23:01 (Show Source): You can put this solution on YOUR website! the sum of the angles is 180 degs ------ x + 2x + 3x = 180

Travel_Word_Problems/522421: Please help I am stuck question is : A motorcycle travels 196 miles in the same amount of time that a car travels 161 miles. The rate of the motorcycle is 10 miles per hour faster than the rate of the car. Find the rate of the car. I know to use r=d/t for the motorcycle it would be r+10=196/t for the car r=161/t but I'm confused how to put them together to make the equation. I'm thankful for any help. 1 solutions Answer 346847 by Alan3354(30993)   on 2011-10-27 19:22:03 (Show Source): You can put this solution on YOUR website! A motorcycle travels 196 miles in the same amount of time that a car travels 161 miles. The rate of the motorcycle is 10 miles per hour faster than the rate of the car. Find the rate of the car. ----------------------- t = 196/r = 161/(r-10) Can you finish it?

Geometry_proofs/522389: I have a given of the angle of 6 is congruent to the angle of 7, however I am trying to prove that the angle of 5 is congruent to the angle of 8 1 solutions Answer 346815 by Alan3354(30993)   on 2011-10-27 18:31:46 (Show Source): You can put this solution on YOUR website! Nowhere near sufficient info. You probably have a sketch that you didn't share.

Volume/522391: What is the width of the triangular prism if the volume is 120 mm3? 1 solutions Answer 346813 by Alan3354(30993)   on 2011-10-27 18:30:50 (Show Source): You can put this solution on YOUR website! No way to know, more info is needed. There are an infinite number of possibilities.

Travel_Word_Problems/522336: If katrina hikes 5 miles north, 7 miles east, and then 3 miles north again. To the nearest tenth of a mile, how far, in a straight line, is katrina from her starting point? 1 solutions Answer 346811 by Alan3354(30993)   on 2011-10-27 18:29:48 (Show Source): You can put this solution on YOUR website! If katrina hikes 5 miles north, 7 miles east, and then 3 miles north again. To the nearest tenth of a mile, how far, in a straight line, is katrina from her starting point? --------------- The order doesn't matter. She's 8 mi north and 7 miles east. That makes a right triangle with sides of 8 & 7 miles. ---------- Can you find the hypotenuse?

Travel_Word_Problems/522378: If it takes 50 minutes to cut 2/3 of the lawn, how long will it take to mow the entire lawn? 1 solutions Answer 346809 by Alan3354(30993)   on 2011-10-27 18:27:35 (Show Source): You can put this solution on YOUR website! If it takes 50 minutes to cut 2/3 of the lawn, how long will it take to mow the entire lawn? ----------- 2/3 in 50 mins --> 1/3 in 25 minutes Can you finish it?

Rectangles/522383: How can I make a net for a rectangular prism 8x6x12, I can't figure it out 1 solutions Answer 346807 by Alan3354(30993)   on 2011-10-27 18:26:08 (Show Source): You can put this solution on YOUR website! What do you mean? To catch it when you throw it? Just buy one.

Mixture_Word_Problems/522381: Hello I am trying to figure out how to write this equation in my sons homework I worked the answer in my head 150 but need help showing the work thanks. David and Amrita had an equal number of marbles. After Amrita gave 50 marbles to David, he had 5 times as many marbles as her. Find the total number of marbles they had. 1 solutions Answer 346805 by Alan3354(30993)   on 2011-10-27 18:25:00 (Show Source): You can put this solution on YOUR website! David and Amrita had an equal number of marbles. After Amrita gave 50 marbles to David, he had 5 times as many marbles as her. Find the total number of marbles they had. -------------------- b = # of marbles they each had b+50 = 5*(b-50) b+50 = 5b - 250 -6b = -300 b = 50

Expressions-with-variables/522350: The Sum Of Three Consecutive intergers is 915. what are the integers? 1 solutions Answer 346800 by Alan3354(30993)   on 2011-10-27 18:11:07 (Show Source): You can put this solution on YOUR website! 915/3 = 305, the middle integer

Miscellaneous_Word_Problems/522232: The width of a rectangular box is 4 times its length, and its height is 6 more than its length. The volume of the box is 120ft^3 . Use the ALEKS graphing calculator to find the length of the box. Round your answer to two decimal places. 1 solutions Answer 346780 by Alan3354(30993)   on 2011-10-27 16:55:22 (Show Source): You can put this solution on YOUR website! The width of a rectangular box is 4 times its length, and its height is 6 more than its length. The volume of the box is 120ft^3 --------------- Vol = W*L*H = 120 4L*L*(L + 6) = 120 L^3 + 6L^2 = 30 ------------ Using graphs, L =~ 1.94 ft I don't know what an ALEKS is.

percentage/522309: Well Hello, Mr. or Ms. well hey my Names Dayanne i am in 8 th grade trying to learn algebra. Tryijnng to Improve my grades. Can you please help me by showing me some problems and solutions that i Can understand it? Thankyou. for reading this as well.. if you dont respond its ok i guess just trying to find help.. 1 solutions Answer 346777 by Alan3354(30993)   on 2011-10-27 16:43:05 (Show Source): You can put this solution on YOUR website! Look at the solved problems.

Travel_Word_Problems/522283: Rene is going to the lake to visit some friends. If the lake is 60 miles away, and Rene is driving at 40 miles per hour the entire time, how long will it take her to get to the lake? 1 solutions Answer 346774 by Alan3354(30993)   on 2011-10-27 16:12:53 (Show Source): You can put this solution on YOUR website! d = r*t t = d/r

Polynomials-and-rational-expressions/522289: Factor completely: 40y^4 - 5y I just know how to simplify.. but I do not know where to go from there... 5y(8y^3 - 1) 1 solutions Answer 346773 by Alan3354(30993)   on 2011-10-27 16:11:08 (Show Source): You can put this solution on YOUR website! 5y(8y^3 - 1) ------------ (8y^3 - 1) is a difference of 2 cubes, (2y)^3 - 1^3 ---------- The difference of 2 cubes a^3 - b^3 = (a-b)*(a^2 + ab + b^2)