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# Recent problems solved by 'Alan3354'

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 Linear-systems/692541: Im Very Confused on how to find x and y intercepts , i try my best to work them out but i need help with graphing them. I cannot understand how to graph 7x-3y=61 solutions Answer 427036 by Alan3354(30983)   on 2012-12-10 18:33:08 (Show Source): You can put this solution on YOUR website!Im Very Confused on how to find x and y intercepts , i try my best to work them out but i need help with graphing them. I cannot understand how to graph 7x-3y=6 ------------------- At the y-intercept, x = 0 7x- 3y = 6 7*0 - 3y = 6 y = -2 --> (0,-2) ======================= At the x-intercept, y = 0 7x- 3y = 6 7x - 3*0 = 6 x = 6/7 --> (6/7,0) -------------- You can plot those 2 points and draw a straight line thru them.
 Systems-of-equations/692437: can you solve y+2=y? 1 solutions Answer 427001 by Alan3354(30983)   on 2012-12-10 16:06:12 (Show Source): You can put this solution on YOUR website!can you solve y+2=y? ------------------------ There's no solution. Think about it: Adding 2 to a number gives you the same number. y + 2 = y subtract y 2 = 0 makes no sense
 Inverses/692428: i^2121 solutions Answer 426999 by Alan3354(30983)   on 2012-12-10 15:51:59 (Show Source): You can put this solution on YOUR website!i^212 =
 Travel_Word_Problems/692402: A bicyclist pedals at 5.0 m/s and comes to a steep hill. The bicyclist slows down to 2.0 m/s in 5s as he starts up the hill. What was the acceleration?1 solutions Answer 426997 by Alan3354(30983)   on 2012-12-10 15:45:39 (Show Source): You can put this solution on YOUR website!A bicyclist pedals at 5.0 m/s and comes to a steep hill. The bicyclist slows down to 2.0 m/s in 5s as he starts up the hill. What was the acceleration? ------------- A speed change of 3 m/sec in 5 sec --> 0.6 m/sec/sec Since it's a decrease using the given frame of reference, it's negative -0.6 m/sec/sec
 Systems-of-equations/692420: 3x+2y+z=3 x-3y+z=4 -6-4y-2z=1 I started the problem but can't seem to advance 3x+2y+z=3 x-3y+z=4 2x+5y=-11 solutions Answer 426994 by Alan3354(30983)   on 2012-12-10 15:37:56 (Show Source): You can put this solution on YOUR website!3x+2y+z=3 x-3y+z=4 -6-4y-2z=1 --------------- There's no x term in the 3rd eqn --- If you meant: 3x+2y+z=3 x-3y+z=4 -6x-4y-2z=1 then eqn 3 is 2 times eqn 1, but the RH side is different --> inconsistent No solution. Eqn's 1 & 3 give parallel planes in 3-space, no intersection.
 Probability-and-statistics/692369: a history teacher gives a 20 question true false exam. in how many ways can the test be answered if the possible answers are true or false or possible to leave the answer blank1 solutions Answer 426979 by Alan3354(30983)   on 2012-12-10 14:34:47 (Show Source): You can put this solution on YOUR website!a history teacher gives a 20 question true false exam. in how many ways can the test be answered if the possible answers are true or false or possible to leave the answer blank --------------- 3^20 = 3,486,784,401 ways
 Proportions/692358: Given 2+x/5= x/7. What is the first step to solve this proportion?1 solutions Answer 426977 by Alan3354(30983)   on 2012-12-10 14:29:10 (Show Source): You can put this solution on YOUR website!Given 2+x/5= x/7. What is the first step to solve this proportion? -------------- Eliminate fractions by multiplying thru by 35. The "shortcut" is to cross multiply: (2+x)*7 = 5x
 Average/692376: what is 3x4/8x-1/-91 solutions Answer 426975 by Alan3354(30983)   on 2012-12-10 14:21:21 (Show Source): You can put this solution on YOUR website!what is 3x4/8x-1/-9 ---------------- It's an expression of some sort, tho it's not clear what's in the numerator and the denominator.
 Rational-functions/692280: Solve 3^0.1-4=51 solutions Answer 426969 by Alan3354(30983)   on 2012-12-10 12:01:58 (Show Source): You can put this solution on YOUR website!Solve 3^0.1-4=5 ------------ Solve for what?
 Travel_Word_Problems/692306: If a car is driven at 50 kilometers an hour for 3 hours, how far will it travel? (Use d = rt) 1 solutions Answer 426968 by Alan3354(30983)   on 2012-12-10 12:00:18 (Show Source): You can put this solution on YOUR website!If a car is driven at 50 kilometers an hour for 3 hours, how far will it travel? (Use d = rt) ---------------- Good idea. d = r*t
 logarithm/692321: e^X-5-4 1 solutions Answer 426966 by Alan3354(30983)   on 2012-12-10 11:59:22 (Show Source): You can put this solution on YOUR website!e^X-5-4 ------- =
 Parallelograms/692295: which of the numbers could be parallel 2/3 and -5/3 2/3 and -3/2 2/3 and -2/3 2/3 and 2/3 2/3 and 3/21 solutions Answer 426957 by Alan3354(30983)   on 2012-12-10 11:11:21 (Show Source): You can put this solution on YOUR website!which of the numbers could be parallel 2/3 and -5/3 2/3 and -3/2 2/3 and -2/3 2/3 and 2/3 2/3 and 3/2 ------------------- Numbers are not parallel to anything. What do the numbers represent?
 logarithm/692278: Solve 3^x+2=9^x1 solutions Answer 426956 by Alan3354(30983)   on 2012-12-10 11:10:22 (Show Source): You can put this solution on YOUR website!3^x+2=9^x 3^x+2 = 3^(2x) Sub y for 3^x (y-2)*(y+1) = 0 y = 2 3^x = 2 x*log(3) = log(2) x = log(2)/log(3) x =~ 0.63093 ------------ Ignore the 3^x = -1 answer
 logarithm/692282: Find the exact value of the equation Log base of 2 2^-131 solutions Answer 426955 by Alan3354(30983)   on 2012-12-10 10:59:43 (Show Source): You can put this solution on YOUR website!Find the exact value of the equation Log base of 2 2^-13 ------------ It's not an equation, equations have equal signs.
 Linear-systems/692247: Solve the system. If the system has infinitely many solutions, write the solution set with x arbitrary. 6x+5y=7 12x+10y=51 solutions Answer 426944 by Alan3354(30983)   on 2012-12-10 09:23:55 (Show Source): You can put this solution on YOUR website!6x+5y=7 12x+10y=5 ========== 12x+10y=14 Eqn 1 times 2 12x+10y=5 ------------- Subtract 0 = 9 --> inconsistent, no solution
 Travel_Word_Problems/692042: 15km/hr to 60km/hr going to north of east direction in 20 seconds. a.)what is the average speed in km/hr and m/s? b.)what is the average velocity in m/s? please help me to solve.1 solutions Answer 426915 by Alan3354(30983)   on 2012-12-09 19:32:44 (Show Source): You can put this solution on YOUR website!15km/hr to 60km/hr going to north of east direction in 20 seconds. ---------------- It's no clear what that means. Try using a few more words.
 Money_Word_Problems/692017: Describe what you recall about simple interest?1 solutions Answer 426909 by Alan3354(30983)   on 2012-12-09 18:59:02 (Show Source): You can put this solution on YOUR website!Describe what you recall about simple interest? --------- It's simple. Like this problem.
 Problems-with-consecutive-odd-even-integers/692022: The sum of the least and greatest of 3 consecutive integers is 60. What are the values of the 3 inegers?1 solutions Answer 426908 by Alan3354(30983)   on 2012-12-09 18:58:06 (Show Source): You can put this solution on YOUR website!The sum of the least and greatest of 3 consecutive integers is 60. What are the values of the 3 inegers? -------------- 60/2 = 30 = the middle integer 29. 30 & 31
 Trigonometry-basics/691984: I am having trouble using my calculator to solve sec, csc and cot values. Find sec0 when cos is 97.977 How do you come up with the answer -7.20587921? Have test in two days and am very frustrated Thanks for your time. Cheryl1 solutions Answer 426905 by Alan3354(30983)   on 2012-12-09 18:31:04 (Show Source): You can put this solution on YOUR website!I am having trouble using my calculator to solve sec, csc and cot values. Find sec0 when cos is 97.977 How do you come up with the answer -7.20587921? =============== Most calculators, all I've ever seen, do sine, cosine and tangent. --- You have to use sec = 1/cos, csc = 1/sin and cot = 1/tan. ====================== Find sec0 when cos is 97.977 ------------- Not sure what you meant there. The cos has a max of 1 If you mean sec(97.977) degs: sec(97.977) = 1/cos(97.977) =~ -7.205879213 Must be it, matches your answer.
 Equations/691985: Solve the systems algebraically: y=x^2=4x-2 y=2x+11 solutions Answer 426903 by Alan3354(30983)   on 2012-12-09 18:22:00 (Show Source): You can put this solution on YOUR website!y=x^2=4x-2 --------- Too many equal signs.
 Expressions-with-variables/691982: -4x+y=11 -5x+3y=51 solutions Answer 426902 by Alan3354(30983)   on 2012-12-09 18:16:52 (Show Source): You can put this solution on YOUR website!-4x+y=11 -5x+3y=5 ---------------- Multiply the 1st eqn by 3, then subtract.
 Trigonometry-basics/691960: Find the exact value of the expression. csc 60 degrees The answer is (2squareroots of 3)/3. I don't know how to solve this. 1 solutions Answer 426899 by Alan3354(30983)   on 2012-12-09 17:41:29 (Show Source): You can put this solution on YOUR website!Find the exact value of the expression. csc 60 degrees The answer is (2squareroots of 3)/3. I don't know how to solve this. ------------------- sin(60) = sqrt(3)/2 csc = 1/sin = 2/sqrt(3) = 2sqrt(3)/3
 Quadratic_Equations/691919: The sum of the squares of three consecutive integers is 2189 . Find the intergers? Please help1 solutions Answer 426898 by Alan3354(30983)   on 2012-12-09 17:40:07 (Show Source): You can put this solution on YOUR website!The sum of the squares of three consecutive integers is 2189 . Find the intergers? Please help ---------------- 2189/3 =~ 729 sqrt(729) = 27, the middle number --> 26, 27 & 28
 Polygons/691948: What is the sum of the exterior angles in a regular 13-gon?1 solutions Answer 426895 by Alan3354(30983)   on 2012-12-09 17:35:42 (Show Source): You can put this solution on YOUR website!What is the sum of the exterior angles in a regular 13-gon? ----------------- The sum of exterior angles = 360 degs for ALL polygons. Any number of sides, regular or not. Including the circle, a polygon with an infinite # of sides.
 Trigonometry-basics/691951: Use a calculator to find the function value. Give your answer rounded to seven decimal places, if necessary. cosine 205 degrees and 3 minutes. the correct answer is -.9059386. I don't know how to solve this. 1 solutions Answer 426894 by Alan3354(30983)   on 2012-12-09 17:33:59 (Show Source): You can put this solution on YOUR website!cosine 205 degrees and 3 minutes. the correct answer is -.9059386. ---------- 3' = 3/60 degs = 0.05 --> 205.05 degs -------------- then you use a calculator
 Complex_Numbers/691888: Hi, Thank you so much for helping me, as I can't learn under my current Algebra 2 teacher. Solve or Simplify the problem using any method (what my textbook says): 7/4 + 2/3 y^2= 13y/61 solutions Answer 426888 by Alan3354(30983)   on 2012-12-09 16:19:19 (Show Source): You can put this solution on YOUR website! 7/4 + 2/3 y^2= 13y/6 ------------- Step 1, eliminate fractions by multiplying thru by 12. 21 + 8y^2 = 26y (2y-3)*(4y-7) = 0 y = 3/2 y = 7/4
 Miscellaneous_Word_Problems/691903: a 22-foot ladder is leaning against a house with the base of the ladder 4 feet from the house. how high up the house the ladder reach?1 solutions Answer 426886 by Alan3354(30983)   on 2012-12-09 16:15:14 (Show Source): You can put this solution on YOUR website!a 22-foot ladder is leaning against a house with the base of the ladder 4 feet from the house. how high up the house the ladder reach? ----------------- The ladder is the hypotentuse of a right triangle.
 Volume/691866: Each cylinder (there are six cylinders total) is 2.5 feet in diameter and 10 feet long. How much steel is needed to make the cylinders? 1 solutions Answer 426885 by Alan3354(30983)   on 2012-12-09 16:13:45 (Show Source): You can put this solution on YOUR website!Each cylinder (there are six cylinders total) is 2.5 feet in diameter and 10 feet long. How much steel is needed to make the cylinders? -------------- You have to know the thickness of the walls.
 Miscellaneous_Word_Problems/691899: the two legs of a right triangle are 8 inches and 3 inches. find the hypotenuse of the triangle.1 solutions Answer 426882 by Alan3354(30983)   on 2012-12-09 16:10:34 (Show Source): You can put this solution on YOUR website!the two legs of a right triangle are 8 inches and 3 inches. find the hypotenuse of the triangle. -----------------
 logarithm/691891: Please help me in finding out how do I evaluate Log 500 - Log 5? Thank you 1 solutions Answer 426881 by Alan3354(30983)   on 2012-12-09 16:07:29 (Show Source): You can put this solution on YOUR website!Please help me in finding out how do I evaluate Log 500 - Log 5? ------------- Subtracting logs ---> division
 Numeric_Fractions/691825: how to solve (1/4)(x)=(10)(1 3/8) thank you1 solutions Answer 426855 by Alan3354(30983)   on 2012-12-09 14:19:34 (Show Source): You can put this solution on YOUR website!how to solve (1/4)(x)=(10)(1 3/8) ------------- Step 1, multiply thru by 8 to eliminate the fractions.