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# Recent problems solved by 'Alan3354'

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 logarithm/678498: Simplify ln(x^a*y^b/e^pie)-e^ln(pie^2)1 solutions Answer 421459 by Alan3354(30993)   on 2012-11-10 16:31:40 (Show Source): You can put this solution on YOUR website!Simplify ln(x^a*y^b/e^pie)-e^ln(pie^2) --------- e^ln(pie^2) = pi^2 *** (it's the Greek letter Pi, not the dessert, pie) ln(x^a*y^b/e^pi) - (pi^2) Division --> subtract logs
 Average/678407: If the average of 57 numbers is 85, what number must be added to give an average of 87?1 solutions Answer 421388 by Alan3354(30993)   on 2012-11-10 11:57:17 (Show Source): You can put this solution on YOUR website!If the average of 57 numbers is 85, what number must be added to give an average of 87? --------------- (57*85 + n)/58 = 87 n + 4845 = 58*87 = 5046 n = 201
 Age_Word_Problems/678368: When i was 2 years old, my sister was Half my age. now i m 80 years old, how old is my sister ??1 solutions Answer 421364 by Alan3354(30993)   on 2012-11-10 07:57:05 (Show Source): You can put this solution on YOUR website!duplicate
 Age_Word_Problems/678399: when you were 2 year old your sister was half of your age now you are 100 years old how old is your sister1 solutions Answer 421363 by Alan3354(30993)   on 2012-11-10 07:52:16 (Show Source): You can put this solution on YOUR website!duplicate
 test/678275: A rope is square root 250. Rope is cut In two pieces, so that the length of pieces are in ratio 3:2. What is length of longer piece in radical form? 1 solutions Answer 421325 by Alan3354(30993)   on 2012-11-09 21:49:02 (Show Source): You can put this solution on YOUR website!A rope is square root 250. Rope is cut In two pieces, so that the length of pieces are in ratio 3:2. What is length of longer piece in radical form? -----------
 Miscellaneous_Word_Problems/678355: Two ships leave a port at the same time and travel at the same speed. One ship is traveling due north and the other due east. In a few hours the ships are 150 miles apart. How many miles has each ship traveled? Give an exact answer and a one decimal place approximation. 1 solutions Answer 421324 by Alan3354(30993)   on 2012-11-09 21:47:14 (Show Source): You can put this solution on YOUR website!Two ships leave a port at the same time and travel at the same speed. One ship is traveling due north and the other due east. In a few hours the ships are 150 miles apart. How many miles has each ship traveled? Give an exact answer and a one decimal place approximation. ------------- 150 mi is the hypotenuse of a right angle isoceles triangle. ----- Solve for s
 Equations/678360: -3/5x=3/101 solutions Answer 421320 by Alan3354(30993)   on 2012-11-09 21:33:29 (Show Source): You can put this solution on YOUR website!-3/5x=3/10 ---------- Cross multiply -3*10 = 5x*3 -30 = 15x x = -2
 Geometry_Word_Problems/678259: i have a room 324 sq feet and i want to cover it with boards 1 x 8 x 10 how many boards will I need? The room is 18 x 18 with 8 feet ceilings1 solutions Answer 421319 by Alan3354(30993)   on 2012-11-09 21:29:33 (Show Source): You can put this solution on YOUR website!i have a room 324 sq feet and i want to cover it with boards 1 x 8 x 10 how many boards will I need? The room is 18 x 18 with 8 feet ceilings -------------- I assume the boards are 8 inches by 10 feet, and 1 is the thickness ?? If that's not right, you'll have to supply dimensions with units. ---- Each board has an area of 8*10*12 = 960 sq inches. 324 sq ft = 324*144 sq inches = 46656 sq inches 46656/960 = 48.6 boards, IF you can cut them and put them together end to end without any loss (no sawdust). ----- With some scrap, the number of boards needed will increase.
 test/678335: Simplest form of the expression? ^3squareroot750 + ^3squareroot 2058 - ^3squareroot481 solutions Answer 421317 by Alan3354(30993)   on 2012-11-09 21:16:31 (Show Source): You can put this solution on YOUR website!Simplest form of the expression? ^3squareroot750 + ^3squareroot 2058 - ^3squareroot48 ---------- What does ^3squareroot mean?
 test/678363: i need help solving this problem and classify the number of terms (a-b)^2(a+b) 1 solutions Answer 421316 by Alan3354(30993)   on 2012-11-09 21:15:32 (Show Source): You can put this solution on YOUR website!i need help solving this problem and classify the number of terms (a-b)^2(a+b) ------------- = (a-b)*a-b)*(a+b) Multiply it, then count the terms. ---------- Make it easier: =
 Exponents-negative-and-fractional/678357: y^-2 + y^-1 = 201 solutions Answer 421311 by Alan3354(30993)   on 2012-11-09 20:19:13 (Show Source): You can put this solution on YOUR website!y^-2 + y^-1 = 20 ----------- Multiply thru by y^2 ((((5y + 1)*(4y - 1) = 0}}} y = -1/5 y = 1/4
 Polynomials-and-rational-expressions/678341: Find the value of b so that the equation will have exactly one rational solution. 12p^2+bp+3=01 solutions Answer 421310 by Alan3354(30993)   on 2012-11-09 20:14:30 (Show Source): You can put this solution on YOUR website!Find the value of b so that the equation will have exactly one rational solution. 12p^2+bp+3=0 ---------------- 2nd order equations ALWAYS have 2 solutions. Sometimes it's the same solution, multiplicity 2, but there are 2 solutions. --------------- To have the same solution twice, the discriminant = 0 b = -12 b = +12
 Matrices-and-determiminant/678321: a. What is the formula for the determinant of the given matrix expanding by cofactors on the first row AND second row? a b c d e f g h i b. What is the determinant? IM CONFUSED WHAT HE MEANS BY THE FIRST AND SECOND ROW. Thanks!!1 solutions Answer 421309 by Alan3354(30993)   on 2012-11-09 19:53:06 (Show Source): You can put this solution on YOUR website!a. What is the formula for the determinant of the given matrix expanding by cofactors on the first row AND second row? a b c d e f g h i b. What is the determinant? IM CONFUSED WHAT HE MEANS BY THE FIRST AND SECOND ROW. Thanks!! ----------- The 1st row is the top row, a b c The 2nd row is the next one, the middle row, d e f
 Problems-with-consecutive-odd-even-integers/678358: what are four consecutive even integers whoes sum is 1881 solutions Answer 421306 by Alan3354(30993)   on 2012-11-09 19:49:30 (Show Source): You can put this solution on YOUR website!what are four consecutive even integers whoes sum is 188 ---------- 188/4 = 47, the center --> 44, 46, 48 & 50
 test/678274: Simplest form of this radical 4 ^4squareroot2x +6 ^4squareroot2x1 solutions Answer 421302 by Alan3354(30993)   on 2012-11-09 19:00:20 (Show Source): You can put this solution on YOUR website!duplicate
 Expressions-with-variables/678339: Joe's father is 45. He is 15 years older than twice Joe's age. How old is Joe? 1 solutions Answer 421301 by Alan3354(30993)   on 2012-11-09 18:57:23 (Show Source): You can put this solution on YOUR website! Joe's father is 45. He is 15 years older than twice Joe's age. How old is Joe? ------- J = Joe's age 2J + 15 = 45
 test/678337: Simplest form of this radical 4 ^4squareroot2x +6 ^4squareroot2x1 solutions Answer 421299 by Alan3354(30993)   on 2012-11-09 18:54:21 (Show Source): You can put this solution on YOUR website!4 ^4squareroot2x +6 ^4squareroot2x = =
 Travel_Word_Problems/678271: a man traveling on a bike can go 20 miles per hour. he needs to go 17.7 miles to school how long will it take him to reach his destination,going at 20 miles per hour?1 solutions Answer 421234 by Alan3354(30993)   on 2012-11-09 13:47:02 (Show Source): You can put this solution on YOUR website!a man traveling on a bike can go 20 miles per hour. he needs to go 17.7 miles to school how long will it take him to reach his destination,going at 20 miles per hour? ------------ d = r*t t = d/r
 test/678266: 0;(4,2)1 solutions Answer 421230 by Alan3354(30993)   on 2012-11-09 13:28:53 (Show Source): You can put this solution on YOUR website!0;(4,2) -------- Do you have a question?
 Systems-of-equations/678200: X+y+z=-7 X+y+2z=3 5x+y+z=-271 solutions Answer 421208 by Alan3354(30993)   on 2012-11-09 09:13:27 (Show Source): You can put this solution on YOUR website!X+y+z=-7 X+y+2z=3 5x+y+z=-27 ------------- X+y+z=-7 X+y+2z=3 ----------- Subtract -z = -10 z = 10 ============ x + y + 10 = -7 x + y = -17 5x+ y = -37 (from 3rd eqn) -------------- subtract -4x = 20 x = -5 =============== sub for x & z to find y
 Triangles/678142: solve for x in [0,2pi] cosx-sinx=-1 1 solutions Answer 421205 by Alan3354(30993)   on 2012-11-09 08:34:25 (Show Source): You can put this solution on YOUR website!solve for x in [0,2pi] cosx-sinx=-1 ------------- cosx-sinx=-1 sin(x) = 0 --> x = 0, pi sin(x) = 1 --> x = pi/2 ========================= Check: cos(0) - sin(0) = 1-0 = +1 (extraneous, reject) cos(pi) - sin(pi) = -1 - 0 = -1 cos(pi/2) - sin(pi/2) = 0 -1 = -1 ------------- x = pi/2, x = pi
 test/678169: how can i draw aline of segment of root2 1 solutions Answer 421203 by Alan3354(30993)   on 2012-11-09 08:27:20 (Show Source): You can put this solution on YOUR website!how can i draw aline of segment of root2 ----------------- I don't know what that means.
 Probability-and-statistics/678174: A single six-sided die is rolled. Find the probability of rolling seven.1 solutions Answer 421202 by Alan3354(30993)   on 2012-11-09 08:26:18 (Show Source): You can put this solution on YOUR website!A single six-sided die is rolled. Find the probability of rolling seven. ----------- If it's numbered 1 thru 6 like most, zero.
 Linear-systems/678141: solve x/3+x/4=71 solutions Answer 421200 by Alan3354(30993)   on 2012-11-09 08:05:07 (Show Source): You can put this solution on YOUR website!solve x/3+x/4=7 ---------- 4x/12 + 3x/12 = 7 7x/12 = 7 x/12 = 1 x = 12
 Numbers_Word_Problems/678022: translate to an equation and solve 2.5% of what is 46.51 solutions Answer 421167 by Alan3354(30993)   on 2012-11-08 21:57:01 (Show Source): You can put this solution on YOUR website!translate to an equation and solve 2.5% of what is 46.5 -------------- 0.025*what = 46.5 what = 46.5/0.025 what = 1860
 Problems-with-consecutive-odd-even-integers/677922: The product of two consecutive positive even integers is 288. Find the two integers. (Enter your answers as a comma-separated list.)1 solutions Answer 421119 by Alan3354(30993)   on 2012-11-08 19:03:53 (Show Source): You can put this solution on YOUR website!The product of two consecutive positive even integers is 288. Find the two integers. (Enter your answers as a comma-separated list.) ----------- Sqrt(288) = ~ 17, the center --> 16 & 18
 Systems-of-equations/677864: 7x to the 3rd power m squared1 solutions Answer 421100 by Alan3354(30993)   on 2012-11-08 16:42:11 (Show Source): You can put this solution on YOUR website!7x to the 3rd power m squared ------------- What about it? Do you have a question?
 Miscellaneous_Word_Problems/677859: Sixteen ounces is what part of a pound?1 solutions Answer 421096 by Alan3354(30993)   on 2012-11-08 16:28:23 (Show Source): You can put this solution on YOUR website!Sixteen ounces is what part of a pound? ----------- Hint: how many ounces in a pound?
 Word_Problems_With_Coins/677861: what is five times a number increased by 15 which is 75 what is the number?1 solutions Answer 421095 by Alan3354(30993)   on 2012-11-08 16:27:32 (Show Source): You can put this solution on YOUR website!what is five times a number increased by 15 which is 75 what is the number? ---------------- It's a math problem.
 Expressions-with-variables/677858: I had to solve this two-step equation: 2n - 5 = 7 Here's my work: 2n - 5 = 7 2n - 5 - 5 = 7 - 5 2n = 2 2n ÷ 2 = 2 ÷ 2 n = 1 But on the answer sheet it says my answer is supposed to be -10! Can anyone tell me what I'm doing wrong?1 solutions Answer 421094 by Alan3354(30993)   on 2012-11-08 16:21:49 (Show Source): You can put this solution on YOUR website!I had to solve this two-step equation: 2n - 5 = 7 Here's my work: 2n - 5 = 7 2n - 5 - 5 = 7 - 5 ************* Add 5 here, not subtract 2n = 2 2n ÷ 2 = 2 ÷ 2 n = 1 But on the answer sheet it says my answer is supposed to be -10! Can anyone tell me what I'm doing wrong? ------------------------------------ 2n - 5 = 7 2n = 12 n = 6 ----------- It's not -10