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# Recent problems solved by 'Alan3354'

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 Linear-equations/569096: solve the system by graphing 2x+y=-7 & 5x+4y=-13. I How do I solve the problems to get the solutions to graph.1 solutions Answer 367224 by Alan3354(30993)   on 2012-02-07 14:19:14 (Show Source): You can put this solution on YOUR website!solve the system by graphing 2x+y=-7 & 5x+4y=-13. I How do I solve the problems to get the solutions to graph. -------------- You don't "get the solution to graph." You graph the 2 equations. Each is a straight line. Every point on the line is a solution to that equation. --- Where they intersect, the point that's on both equations, is the solution to the system of equations. ----------- 2x+y=-7 y = -2x - 7 You need 2 points for a straight line. Pick 2 values for x and find y. Plot the 2 points. Draw a line thru them. ==================== Do the same for the other equation.
 logarithm/569119: I need help on how to show my work when solving this problem: e^.05t = 16001 solutions Answer 367222 by Alan3354(30993)   on 2012-02-07 14:13:03 (Show Source): You can put this solution on YOUR website! Take the log of both sides 0.05t = ln(1600) =~ 7.37776 t =~ 147.555
 Average/569105: The earliest mechanical clock appeared around 1350 in europe and would gain or lose and average of 30 minutes per day. After that, accuracy roughly doubled every 30 years. find the predicted accuracy of the clock in the years 1700 and 2000. 1 solutions Answer 367221 by Alan3354(30993)   on 2012-02-07 14:08:39 (Show Source): You can put this solution on YOUR website!The earliest mechanical clock appeared around 1350 in europe and would gain or lose and average of 30 minutes per day. After that, accuracy roughly doubled every 30 years. find the predicted accuracy of the clock in the years 1700 and 2000. ---------------- "accuracy...doubled..." is not a good term. If the accuracy is 10%, then double that is 20% ?? ---- If you mean the error was reduced by a factor of 2: 1350 - 1700 = 350 yrs 350/30 =~ 12 periods 30 mins error * (1/2)^12 = 30/1024 =~ 0.03 min/day = 1.8 seconds/day ------------ 1350 - 2000 = 650 yrs = 22.7 periods 30 min*(1/2)^22.7 =~ 4.403E-6 min/day =~ 264 microseconds/day
 Polygons/569103: why can't the size of the angle at the centre of a regular polygon be 25 degrees?1 solutions Answer 367215 by Alan3354(30993)   on 2012-02-07 13:52:39 (Show Source): You can put this solution on YOUR website!why can't the size of the angle at the centre of a regular polygon be 25 degrees? ------------ 360/25 is not an integer. A polygon can't have 14.4 sides.
 Probability-and-statistics/569104: Could someone please help me write an equation to describe the exponential function as y=ab^x The base is 5. The graph passes through the point(1,2) Thank you for taking the time to help me!1 solutions Answer 367213 by Alan3354(30993)   on 2012-02-07 13:44:13 (Show Source): You can put this solution on YOUR website!Could someone please help me write an equation to describe the exponential function as y=ab^x The base is 5. The graph passes through the point(1,2) -------------- a = 0.4 -->
 Numeric_Fractions/569025: hey tutors i need to know what 11 1\9% as a fraction thanks Blake1 solutions Answer 367200 by Alan3354(30993)   on 2012-02-07 10:49:22 (Show Source): You can put this solution on YOUR website! 11 1\9% as a fraction --------------- = 9*(11 1/9) = 100 --> 11 1/9% = 100%/9 --> 1/9 ======= That make sense? Or try this: 11 1/9 = 11.111...% repeating 1's Divide by 100 --> 0.111... as a repeating decimal 1n = 0.111111..... 10n = 1.11111..... -1n =-0.11111.... ------------------ Subtract 9n = 1 n = 1/9
 Linear-equations/569035: Write the equation of a line parallel to and passing through (2,1).1 solutions Answer 367199 by Alan3354(30993)   on 2012-02-07 10:36:28 (Show Source): You can put this solution on YOUR website!Write the equation of a line parallel to and passing through (2,1). --------- Parallel to what?
 Quadratic_Equations/569015: One leg of a right triangle is 7 miles longer than the other. The hypotenuse is equal to 13 miles. How long is the shorter leg? The correct answer is 5 miles. please help me see how to do this!1 solutions Answer 367198 by Alan3354(30993)   on 2012-02-07 09:36:45 (Show Source): You can put this solution on YOUR website!One leg of a right triangle is 7 miles longer than the other. The hypotenuse is equal to 13 miles. How long is the shorter leg? ----------------
 Numeric_Fractions/568831: How do you figure out what 3/4-1/6 is?1 solutions Answer 367136 by Alan3354(30993)   on 2012-02-06 21:10:28 (Show Source): You can put this solution on YOUR website!How do you figure out what 3/4-1/6 is? ------ Find a common denominator. The product always works. = 7/12
 Exponents/568807: (2x2)-4 answer should contain only positive exponents1 solutions Answer 367130 by Alan3354(30993)   on 2012-02-06 20:48:49 (Show Source): You can put this solution on YOUR website!(2x2)-4 answer should contain only positive exponents ------ Is 2x2 ? Or ?
 Pythagorean-theorem/568719: What to do when both legs are x? 1 solutions Answer 367129 by Alan3354(30993)   on 2012-02-06 20:47:43 (Show Source): You can put this solution on YOUR website!What to do when both legs are x? ------------- What are you asked to do?
 Age_Word_Problems/568729: Both digits are the same. It is less than 50. The sum of its digits is 61 solutions Answer 367123 by Alan3354(30993)   on 2012-02-06 20:19:11 (Show Source): You can put this solution on YOUR website!Both digits are the same. It is less than 50. The sum of its digits is 6 ------------ 6/2 = 3 ----------- "Both digits are the same." Can one digit be the same?
 Trigonometry-basics/568765: (cscx+ cotx)(1-cosx)=sinx I don't know how to proove the question. I tried and got a different answer. Can you help me?1 solutions Answer 367122 by Alan3354(30993)   on 2012-02-06 20:17:48 (Show Source): You can put this solution on YOUR website!(cscx+ cotx)(1-cosx)=sinx --------- Change everything to sines and cosines.
 Average/568769: what grade would i have if i got 15% wrong on my test in math1 solutions Answer 367120 by Alan3354(30993)   on 2012-02-06 20:16:47 (Show Source): You can put this solution on YOUR website!what grade would i have if i got 15% wrong on my test in math ----------- It depends on what grade 85% is. It varies with classes and teachers.
 Mixture_Word_Problems/568648: A market sells coffee from Brazil for \$3 per pound and coffee from colombia for \$4 per pound. How many pounds of each should be used in order to sell the blend of 100 pounds for \$3.50 per pound?1 solutions Answer 367072 by Alan3354(30993)   on 2012-02-06 18:56:01 (Show Source): You can put this solution on YOUR website!A market sells coffee from Brazil for \$3 per pound and coffee from colombia for \$4 per pound. How many pounds of each should be used in order to sell the blend of 100 pounds for \$3.50 per pound? ------------- \$3.50 is the average, so it's equal amounts.
 Numeric_Fractions/568664: What does 207 over 273 come out to be a simplifed fraction1 solutions Answer 367071 by Alan3354(30993)   on 2012-02-06 18:54:54 (Show Source): You can put this solution on YOUR website!What does 207 over 273 come out to be a simplifed fraction ---------- Both have a factor of 3
 Geometry_Word_Problems/568684: a regular-size piece of paper is about 28 centimeters from top to bottom. what is the length in milimeters? 1 solutions Answer 367070 by Alan3354(30993)   on 2012-02-06 18:53:38 (Show Source): You can put this solution on YOUR website!28*10 = 280 millimeters
 Numeric_Fractions/568696: PLEASE HELP ME SOLVE THIS PROBLEM AND SHOW ME HOW. I'M NEW TO ALGEBRA AND I'M JUST PLAIN STUMPED.1 solutions Answer 367068 by Alan3354(30993)   on 2012-02-06 18:52:38 (Show Source): You can put this solution on YOUR website!no problem is shown.
 Travel_Word_Problems/568605: Millie drove at a rate of 34 mph for 15hrs . How far did she get1 solutions Answer 367048 by Alan3354(30993)   on 2012-02-06 16:54:40 (Show Source): You can put this solution on YOUR website!Millie drove at a rate of 34 mph for 15hrs . How far did she get ---- d = r*t
 Numbers_Word_Problems/568600: This is for my daughter. The question is I am thinking of two whole numbers. The second is larger than the first. The sum of the squares of the numbers is 61.What are the two numbers? Explain how you came up with that answer. Thanks1 solutions Answer 367047 by Alan3354(30993)   on 2012-02-06 16:54:00 (Show Source): You can put this solution on YOUR website! The question is I am thinking of two whole numbers. The second is larger than the first. The sum of the squares of the numbers is 61.What are the two numbers? Explain how you came up with that answer. Thanks -------------- 61 - 1 = 60, not a perfect square 61 - 4 = 57, " 61 - 9 = 52, " 61 - 16 = 45 " 61 - 25 = 36 --> 5 & 6 -------------------- Works for small numbers
 Rational-functions/568222: Please help! Having so much trouble with these last 3 problems! Divide and simplify. 4.) ∛270x / ∛10xy^2 Rationalize the denominator of each expression. 5.) √7x / √3 6.) ∛x^2 / ∛4''. 1 solutions Answer 366875 by Alan3354(30993)   on 2012-02-05 21:10:48 (Show Source): You can put this solution on YOUR website!Divide and simplify. 4.) ∛270x / ∛10xy^2 = = = = Rationalize the denominator of each expression. 5.) = ------------------------------ 6.) = =
 Miscellaneous_Word_Problems/568113: How do you solve for t in this equation: (t/E)+1=t/V1 solutions Answer 366849 by Alan3354(30993)   on 2012-02-05 17:17:14 (Show Source): You can put this solution on YOUR website!(t/E)+1=t/V ------------ t/V - t/E = 1 t*(1/V - 1/E) = 1 t = 1/(1/V - 1/E) =========== You can: t = 1/((E - V)/VE) t = VE/(E - V)
 Points-lines-and-rays/568047: How many lines in a plane are perpendicular to a line at a point on the line1 solutions Answer 366844 by Alan3354(30993)   on 2012-02-05 14:36:58 (Show Source): You can put this solution on YOUR website!How many lines in a plane are perpendicular to a line at a point on the line --- If you mean the 2 lines are in the same plane, then one.
 Travel_Word_Problems/568050: A car travels at an average speed of 56 miles per hour. How many miles does it travel in5 hours and 45 minutes?1 solutions Answer 366843 by Alan3354(30993)   on 2012-02-05 14:35:18 (Show Source): You can put this solution on YOUR website!A car travels at an average speed of 56 miles per hour. How many miles does it travel in5 hours and 45 minutes? ---- d = r*t t = 5.75 hours
 Angles/568011: If m angle 2= 42 degrees, what does m angle 1 equal?1 solutions Answer 366835 by Alan3354(30993)   on 2012-02-05 13:20:45 (Show Source): You can put this solution on YOUR website!If m angle 2= 42 degrees, what does m angle 1 equal? -------- Not enough info.
 Functions/567954: Solve the following function.Show all work 24^x=11 solutions Answer 366834 by Alan3354(30993)   on 2012-02-05 13:19:02 (Show Source): You can put this solution on YOUR website!x=0 ----- 24^x=1 x*log(24) = 0 x = 0
 Mixture_Word_Problems/567959: a pharmacist has a 45% acid solution and a 35% acid solution. How many liters of it must be mixed to form 80 liters of a 40% acid solution? 1 solutions Answer 366830 by Alan3354(30993)   on 2012-02-05 12:17:10 (Show Source): You can put this solution on YOUR website!a pharmacist has a 45% acid solution and a 35% acid solution. How many liters of it must be mixed to form 80 liters of a 40% acid solution? ------------ 40 is the average of 45 & 35, so it's equal amounts.
 Problems-with-consecutive-odd-even-integers/567990: Find 3 consecutive even integers whose sum is 1861 solutions Answer 366829 by Alan3354(30993)   on 2012-02-05 12:15:29 (Show Source): You can put this solution on YOUR website! Find 3 consecutive even integers whose sum is 186 ---- 186/3 = 62, the middle integer.
 Polygons/567992: how do you use the distance formula for finding a polygon?1 solutions Answer 366827 by Alan3354(30993)   on 2012-02-05 12:14:51 (Show Source): You can put this solution on YOUR website!how do you use the distance formula for finding a polygon? -------------- Where did you last see the polygon?
 Trigonometry-basics/567944: To solve for all angles (theta) for which sin(theta) = -cos(theta), do I use the inverse function or the reciprocal?1 solutions Answer 366820 by Alan3354(30993)   on 2012-02-05 10:55:43 (Show Source): You can put this solution on YOUR website!To solve for all angles (theta) for which sin(theta) = -cos(theta), do I use the inverse function or the reciprocal? -------------- Do it like this: sin = -cos sin^2 = cos^2 = 1 - sin^2 2sin^2 = 1 sin^2 = 1/2 theta = pi/4, 3pi/4, 5pi/4, 7pi/4 + 2n*pi, n = 0,1,2,3... Then eliminate Q1 & Q3 where the signs are the same. ---- --> theta = 3pi/4 + n*pi, n = 0,1,2,3... or theta = 135 + n*180 degs, n = 0,1,2,3... ==================== A simpler approach: sin = -cos Divide by cos tan = -1
 Evaluation_Word_Problems/567923: One cubic centimeter of aluminum weighs 2.7 grams. If a piece of aluminum foil weighs 5.4 grams, find the volume of the aluminum foil.1 solutions Answer 366812 by Alan3354(30993)   on 2012-02-05 09:53:56 (Show Source): You can put this solution on YOUR website!2 cc