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# Recent problems solved by 'Alan3354'

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 Polygons/619799: If a vertex angle of a regular polygon is equal to 165.6 degrees, how many sides does the regular polygon have?1 solutions Answer 389839 by Alan3354(30993)   on 2012-06-11 18:00:46 (Show Source): You can put this solution on YOUR website!If a vertex angle of a regular polygon is equal to 165.6 degrees, how many sides does the regular polygon have? ------------- Ext angles = 180 - 165.6 = 14.4 degs # of sides = 360/14.4 = 25
 Mixture_Word_Problems/619794: 5. How many pounds of an \$83 per pound substance must be mixed with an \$11 per pound substance to get 240 lbs of an alloy which will cost \$28 per pound? Round to the nearest pound.1 solutions Answer 389838 by Alan3354(30993)   on 2012-06-11 17:58:42 (Show Source): You can put this solution on YOUR website!5. How many pounds of an \$83 per pound substance must be mixed with an \$11 per pound substance to get 240 lbs of an alloy which will cost \$28 per pound? Round to the nearest pound. -------------------- Do it like this one: if a 14% acid solution is mixed with a 19% acid solution to produce 45 gallons of a 15% acid solution how much (in gallons) of each solution should be used? -------------- f = 14% n = 19% ---- f + n = 45 (total gallons) 14f + 19n = 15*45 (total acid) ----- n = 45 - f Sub for n 14f + 19*(45-f) = 675 14f + 855 - 19f = 675 -5f = -180 f = 36 gallons of 14% n = 9 gallons of 19%
 Exponential-and-logarithmic-functions/619836: Solve 3x = 69. Round your answer to the nearest hundredth.1 solutions Answer 389837 by Alan3354(30993)   on 2012-06-11 17:54:42 (Show Source): You can put this solution on YOUR website!Solve 3x = 69. Round your answer to the nearest hundredth. ---------- Divide both sides by 3
 Circles/619874: Find the area of a circle whose diameter is 80 cm. Use pi = 3.141 solutions Answer 389835 by Alan3354(30993)   on 2012-06-11 17:53:05 (Show Source): You can put this solution on YOUR website!Find the area of a circle whose diameter is 80 cm. Use pi = 3.14 ---------- r = d/2 = 40 cm
 Equations/619868: 2x-[3x-(1-2x)] What are the steps to solve this? 1 solutions Answer 389834 by Alan3354(30993)   on 2012-06-11 17:52:26 (Show Source): You can put this solution on YOUR website!2x-[3x-(1-2x)] What are the steps to solve this? ----------- Equations are solved. This is not an equation. I can tell, there's no equal sign. equal, equate, equation
 Miscellaneous_Word_Problems/619871: If two people sell 420 houses together but one sells 5 times as many as the other how many did each sell?1 solutions Answer 389833 by Alan3354(30993)   on 2012-06-11 17:51:18 (Show Source): You can put this solution on YOUR website!If two people sell 420 houses together but one sells 5 times as many as the other how many did each sell? ------------- h = # sold by the slow person --- h + 5h = 420 etc
 Bodies-in-space/619819: What is the volume of a cylinder radius = 3cm and height = 7cm, using pi = 3.1?1 solutions Answer 389811 by Alan3354(30993)   on 2012-06-11 15:58:18 (Show Source): You can put this solution on YOUR website!What is the volume of a cylinder radius = 3cm and height = 7cm, using pi = 3.1? --------------------
 Angles/619784: How do you draw a 78 degrees angle?1 solutions Answer 389789 by Alan3354(30993)   on 2012-06-11 14:05:23 (Show Source): You can put this solution on YOUR website!How do you draw a 78 degrees angle? ------------- You can use a protractor. --- You can find the sine and cosine of 78 and plot the points (0,0) & (k*cos,k*sin) and draw a line thru them (k is any number)
 Radicals/619759: 1 divided by radical 2 (+3) radical x cubed divided by radical 5x1 solutions Answer 389786 by Alan3354(30993)   on 2012-06-11 13:47:12 (Show Source): You can put this solution on YOUR website!1 divided by radical 2 (+3) I don't know what that means. ----------- radical x cubed divided by radical 5x If by radical you mean square root: =
 decimal-numbers/619531: Can you help me solve 5.547*10^-81 solutions Answer 389712 by Alan3354(30993)   on 2012-06-10 22:45:36 (Show Source): You can put this solution on YOUR website!Can you help me solve 5.547*10^-8 --------- Solve for what?
 Triangles/619573: Which of the following lengths determine an acute triangle? a) 7,24,24 b)7,24,25 c)7,24,26 d)7,24,271 solutions Answer 389711 by Alan3354(30993)   on 2012-06-10 22:43:26 (Show Source): You can put this solution on YOUR website!Which of the following lengths determine an acute triangle? a) 7,24,24 b)7,24,25 c)7,24,26 d)7,24,27 ----------------- To be acute, c = longest side
 Mixture_Word_Problems/619566: A solution containing 30% acid is mixed with a solution containing 10% acid to make 2000 liters of a solution containing 15% acid. How much of the 30% solution was used?1 solutions Answer 389707 by Alan3354(30993)   on 2012-06-10 22:19:22 (Show Source): You can put this solution on YOUR website!A solution containing 30% acid is mixed with a solution containing 10% acid to make 2000 liters of a solution containing 15% acid. How much of the 30% solution was used? --------------- Do it like this: if a 14% acid solution is mixed with a 19% acid solution to produce 45 gallons of a 15% acid solution how much (in gallons) of each solution should be used? -------------- f = 14% n = 19% ---- f + n = 45 (total gallons) 14f + 19n = 15*45 (total acid) ----- n = 45 - f Sub for n 14f + 19*(45-f) = 675 14f + 855 - 19f = 675 -5f = -180 f = 36 gallons of 14% n = 9 gallons of 19%
 Polynomials-and-rational-expressions/619334: 4x² - 251 solutions Answer 389619 by Alan3354(30993)   on 2012-06-10 11:41:58 (Show Source): You can put this solution on YOUR website!4x² - 25 ----------- Do you have a question?
 Polynomials-and-rational-expressions/619320: x² + 12x + 11????1 solutions Answer 389618 by Alan3354(30993)   on 2012-06-10 11:40:42 (Show Source): You can put this solution on YOUR website!x² + 12x + 11???? ------ Do you have a question?
 Number-Line/619390: the sum of all the prime number between 30 and 50?1 solutions Answer 389609 by Alan3354(30993)   on 2012-06-10 11:02:25 (Show Source): You can put this solution on YOUR website!the sum of all the prime number between 30 and 50? ------- Write them down, add them up.
 Linear_Algebra/619373: let a = -5a1 + 4a2 -8a1 + 7a2 find : 13 A .1 solutions Answer 389604 by Alan3354(30993)   on 2012-06-10 10:27:37 (Show Source): You can put this solution on YOUR website!I don't know what that means.
 Age_Word_Problems/619361: helen is 13 years old ,helen's father 4 years more than twice her age? 1 solutions Answer 389586 by Alan3354(30993)   on 2012-06-10 08:42:32 (Show Source): You can put this solution on YOUR website!helen is 13 years old ,helen's father 4 years more than twice her age? ---------- Thx for letting us know.
 Graphs/619354: 1) y = 4x + 3 2) 5x + 3y = 0 3) -3x - 6y = 6 4) -8y = -24 5) 6x + 2y = 121 solutions Answer 389585 by Alan3354(30993)   on 2012-06-10 08:21:21 (Show Source): You can put this solution on YOUR website!Do you have a question?
 Numeric_Fractions/619372: please help me simplify the following expression: a+1/(a^2-2a-3)- a+1/(a^2+4a+3) i have tried to factorise the denominators to find common factors but cannot come up with the answer in my book: 6/(a-3)(a+3). Also, tried to put the expression into the automatic calculator on here but it came out with a different answer. Help! Thanks, Ade1 solutions Answer 389584 by Alan3354(30993)   on 2012-06-10 07:40:41 (Show Source): You can put this solution on YOUR website!a+1/(a^2-2a-3)- a+1/(a^2+4a+3) ---------------- = a+1/(a-3)*(a+1) - a+1/(a+1)*(a+3) = 1/(a-3) - 1/(a+3) = ((a+3) - (a-3))/(a^2 - 9) = 6/(a^2 - 9)
 Expressions-with-variables/619349: A store mixes kenya coffee worth \$11 per kilo and turkish coffee worth \$13 per kilo. the mixure is to sell for \$12 per kilo. find how much of each should be used to make a 444kilo mixure.1 solutions Answer 389583 by Alan3354(30993)   on 2012-06-10 07:01:18 (Show Source): You can put this solution on YOUR website!A store mixes kenya coffee worth \$11 per kilo and turkish coffee worth \$13 per kilo. the mixure is to sell for \$12 per kilo. find how much of each should be used to make a 444kilo mixure. ------------------ \$12 is the average of \$11 & \$13, so it's equal amounts.
 Exponents-negative-and-fractional/619275: show the work to solve: r = 2/((5L)^-1/2)1 solutions Answer 389521 by Alan3354(30993)   on 2012-06-09 18:29:05 (Show Source): You can put this solution on YOUR website!show the work to solve: r = 2/((5L)^-1/2) ----------------------- r is solved for. That wasn't hard. ------------- You didn't say what you want to solve for. If it's L: r = 2/((5L)^-1/2) ((5L)^-1/2) = 2/r ((5L)^1/2) = r/2
 Polynomials-and-rational-expressions/619265: 2bc + 4b – 5c – 101 solutions Answer 389520 by Alan3354(30993)   on 2012-06-09 18:26:07 (Show Source): You can put this solution on YOUR website!2bc + 4b – 5c – 10 ---------- What about it? Do you have a question?
 Permutations/619271: how do you get better in knowing if the problem is permutation and combination and how do you know what numbers to use for each1 solutions Answer 389519 by Alan3354(30993)   on 2012-06-09 18:25:23 (Show Source): You can put this solution on YOUR website!With study and practice.
 Quadratic-relations-and-conic-sections/619259: Find the center and radius of a sphere, x^2+y^2+z^2-4x+2y-6z+10=01 solutions Answer 389502 by Alan3354(30993)   on 2012-06-09 16:33:04 (Show Source): You can put this solution on YOUR website!Find the center and radius of a sphere, x^2+y^2+z^2-4x+2y-6z+10=0 ---------- Complete the squares, same as in 2-space.
 Quadratic-relations-and-conic-sections/619258: Find the standard form of a sphere which A(8,-2,5) and B(6,4,-1) are endpoints of a diameter.1 solutions Answer 389501 by Alan3354(30993)   on 2012-06-09 16:31:45 (Show Source): You can put this solution on YOUR website!Find the standard form of a sphere which A(8,-2,5) and B(6,4,-1) are endpoints of a diameter. ---------------- Find the center by finding the average of x, y & z separately. x: (8+6)/2 = 7 y: (-2+4)/2 = 1 z: (5-1)/2 = 2 Center at (7,1,2) ----------- r = the distance from the center to either point ------
 logarithm/619260: help me please to find the base of 30is50% of what number. 1 solutions Answer 389500 by Alan3354(30993)   on 2012-06-09 16:25:45 (Show Source): You can put this solution on YOUR website!help me please to find the base of 30is50% of what number. ------------ What does "base of 30" mean?
 Polynomials-and-rational-expressions/619261: solve for x x^2 + 9x - 10 = 01 solutions Answer 389499 by Alan3354(30993)   on 2012-06-09 16:24:54 (Show Source): You can put this solution on YOUR website!solve for x x^2 + 9x - 10 = 0 --------------- That can be factored. It'll be (x+a)*(x+b) = 0 a + b = 9 a*b = -10
 Volume/619262: How many gallons of water could a fish tank hold with the volume of 6480 inches cubed?1 solutions Answer 389498 by Alan3354(30993)   on 2012-06-09 16:23:14 (Show Source): You can put this solution on YOUR website!How many gallons of water could a fish tank hold with the volume of 6480 inches cubed? --------- 6480/231 =~ 28 gallons
 Polynomials-and-rational-expressions/619241: 1. x³ + 8x² + 2x + 16) 2. 16y^(5-24y⁴-40y³) 1 solutions Answer 389497 by Alan3354(30993)   on 2012-06-09 16:04:37 (Show Source): You can put this solution on YOUR website!1. x³ + 8x² + 2x + 16) 2. 16y^(5-24y⁴-40y³) ---------------------- What is your question? ============== 16y^(5-24y⁴-40y³) Is all that the exponent?
 Vectors/619257: Use vectors to determine if the points P(-2,7,4), Q(-4,8,1) and R(0,6,7) are collinear.1 solutions Answer 389495 by Alan3354(30993)   on 2012-06-09 15:52:20 (Show Source): You can put this solution on YOUR website!Use vectors to determine if the points P(-2,7,4), Q(-4,8,1) and R(0,6,7) are collinear. -------------- You can, but it's not necessary R(0,6,7) P(-2,7,4) Q(-4,8,1) ----------- The differences in x, y & z are uniform --> colinear
 Polynomials-and-rational-expressions/619239: factor the greatest common factor 12x^5+18x^71 solutions Answer 389486 by Alan3354(30993)   on 2012-06-09 14:31:36 (Show Source): You can put this solution on YOUR website!factor the greatest common factor 12x^5+18x^7 ------------ Hint: 12 & 18 are even numbers Both terms contain x