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# Recent problems solved by 'Alan3354'

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 Linear-equations/275601: Please help me solve this equation: with a slope of -2/5 and Y intercept 9. write the equation in the form of Ax+By=C.1 solutions Answer 201022 by Alan3354(30993)   on 2010-03-01 13:51:07 (Show Source): You can put this solution on YOUR website! Please help me solve this equation: with a slope of -2/5 and Y intercept 9. write the equation in the form of Ax+By=C. -------------- To be picky, you don't have an equation to solve. You want to find an equation that fits the specs. ----------------- slope and y-intercept are given, so y = (-2/5)x + 9 5y = -2x + 45 2x + 5y = 45 is the equation in standard form.
 Travel_Word_Problems/275615: A plane is flying at a speed of 1440 Km per hour how long in seconds will the plane take to fly a distance of 1Km1 solutions Answer 200999 by Alan3354(30993)   on 2010-03-01 11:45:23 (Show Source): You can put this solution on YOUR website!It will take it 1/1440 hours. 1 hour = 3600 seconds. Go from there.
 Travel_Word_Problems/275481: one type of air blower can fill a blimp in 6 hours working alone, while a second blower fills the same blimp in 9 hours working alone. how long will it take both blowers working together.I need to know exactly how you got to the conclusion, not just the answer which i know is 3 hours and 36 minutes. Thanks1 solutions Answer 200991 by Alan3354(30993)   on 2010-03-01 10:36:10 (Show Source): You can put this solution on YOUR website!Get it into units that can be added: One blower does 1/6 of the job per hour. The other does 1/9 per hour. Together, they do 1/6 + 1/9 per hour. 1/6 + 1/9 = 15/54 jobs/hour --> 54/15 hours per job = 3.6 hours or 3 hr 36 minutes ---------------------- Use the shortcut, product/sum 6*9/(6+9) = 54/15 etc.
 Square-cubic-other-roots/275563: what is the sqare root of 80 1 solutions Answer 200989 by Alan3354(30993)   on 2010-03-01 10:28:35 (Show Source): You can put this solution on YOUR website!=~ 8.94427
 Square-cubic-other-roots/275552: square root of 5 over square root of 8x1 solutions Answer 200974 by Alan3354(30993)   on 2010-03-01 09:39:45 (Show Source): You can put this solution on YOUR website! For various reasons, it's good to eliminate radicals in the DEN. = = = =
 Quadratic_Equations/275553: Why can't you have an exponent greater than 6 in a quadratic equation?1 solutions Answer 200972 by Alan3354(30993)   on 2010-03-01 09:35:35 (Show Source): You can put this solution on YOUR website!It's a matter of semantics. quadratic is 2nd order, or exponent 2. It comes from quadrangle, which is rectangular. --------------- But, as the other tutor pointed out, it can be a quadratic in x^4, which gives and exponent of 8. If the exponents are in order as in his example, 8, 4, 0, then it's a quadratic in x^4. It's ------------- I don't know where you might have gotten the info about exponent 6.
 Quadratic-relations-and-conic-sections/275556: m-1/4sq1 solutions Answer 200969 by Alan3354(30993)   on 2010-03-01 09:28:04 (Show Source): You can put this solution on YOUR website!do you have a question?
 Numbers_Word_Problems/275452: The sum of two consecutive odd address numbers on a street is 9044. What are the two address numbers? You must construct an algebra equation to solve this. Answers by guessing the numbers without algebra earn no credit.1 solutions Answer 200901 by Alan3354(30993)   on 2010-02-28 22:29:48 (Show Source): You can put this solution on YOUR website!9044/2 = 4522 the center between the 2 numbers --> 4521 & 4523 It's not guessing, but no equation is needed. ---------------------------------------- The long way: x + x+2 = 9044 2x + 2 = 9044 2x = 9042 x = 4521 x+2 = 4523
 Quadratic_Equations/275417: A rock falls from a tower that is 304 feet high. As it is falling, its height is given by the formula h=304-16t^2. How many seconds(in tenths) will it take for the rock to hit the ground (h=0)? (I believe you just set H=0 and then solve? Is that correct?)1 solutions Answer 200900 by Alan3354(30993)   on 2010-02-28 22:27:26 (Show Source): You can put this solution on YOUR website!h=304-16t^2 = 0 16t^2 = 304 t^2 = 19 t =~4.36 seconds
 Travel_Word_Problems/275400: I flew from Pheonix to Tucson, a distance of 120 miles, at a constant speed of 120 mph, I then returned at a constant speed of 60 mph. what is my average speed, trip distance, displacement, and average velocity?1 solutions Answer 200870 by Alan3354(30993)   on 2010-02-28 21:10:33 (Show Source): You can put this solution on YOUR website!I flew from Pheonix to Tucson, a distance of 120 miles, at a constant speed of 120 mph, I then returned at a constant speed of 60 mph. what is my average speed? 240/3 = 80 mph trip distance? 240 miles displacement? relative to what? and average velocity? Velocity is a vector that includes speed and direction. It's often used to mean speed, and speed has already been calculated. I don't think averages apply to vectors, either. --------------------
 Numbers_Word_Problems/275343: The sum of three consecutive even numbers is 150. Find the numbers. I have tried tried a + b+c = 150. I have also tried. (x+1)+(x+2)+(x+3). I don't think I am doin this problem right. However, I know the consecutive even numbers before 150 are 148, 146, 144..Help. Dawn1 solutions Answer 200866 by Alan3354(30993)   on 2010-02-28 20:57:00 (Show Source): You can put this solution on YOUR website!150/3 = 50, the middle number --> 48, 50, 52
 Exponential-and-logarithmic-functions/275387: What is the exponent of x^(2/3)=36? what is the inequality of 2^(x+7) > 1/3^(2) what is the exponent of 3^(2x-1)=1/2431 solutions Answer 200861 by Alan3354(30993)   on 2010-02-28 20:40:19 (Show Source): You can put this solution on YOUR website! What is the exponent of x^(2/3)=36? The exponent of x is 2/3. -------------------------- what is the inequality of 2^(x+7) > 1/3^(2) That question makes no sense. The statement 2^(x+7) > 1/3^(2) is an inequality. --------------------------- what is the exponent of 3^(2x-1)=1/243 The exponent of 3 is 2x-1. -------------------------------- I suspect you want to solve these ?? What is the exponent of x^(2/3)=36? Try "solve for x" x^(2/3) = 36 Take the square root of both sides. x^(1/3) = 6, -6 Cube both sides x = 216, -216 ---------------- 2^(x+7) > 1/3^(2) 2^(x+7) > 1/9 (x+7)*log(2) > log(1/9) x+7 > log(1/9)/log(2) x > log(1/9)/log(2) - 7 x > -34.34258656 ----------------- 3^(2x-1)=1/243 243 = 3^5 3^(2x-1)=3^(-5) 2x-1 = -5 2x = -4 x = -2
 Numbers_Word_Problems/275275: The sum of two consecutive even integers is 86. Find the larger number. 1 solutions Answer 200829 by Alan3354(30993)   on 2010-02-28 18:52:39 (Show Source): You can put this solution on YOUR website!86/2 = 43, the center of the 2 numbers --> 42 & 44
 Vectors/275163: What is the magnitude of the vector: v = 5i + 6j ?1 solutions Answer 200724 by Alan3354(30993)   on 2010-02-28 12:56:24 (Show Source): You can put this solution on YOUR website!It's sqrt(5^2 + 6^2) = sqrt(61)
 Equations/275096: what is the slope of x+7y=141 solutions Answer 200720 by Alan3354(30993)   on 2010-02-28 11:31:36 (Show Source): You can put this solution on YOUR website!Solve for y: x+7y=14 7y = -x + 14 y = (-1/7)x + 2 slope, m = -1/7 ------------------ I have no clue what chashmish is doing.
 Polynomials-and-rational-expressions/275124: Find all values that make the expression undefined. r-8 _____ = 6-r1 solutions Answer 200710 by Alan3354(30993)   on 2010-02-28 10:57:27 (Show Source): You can put this solution on YOUR website!r = 6 Makes the DEN zero
 Rational-functions/275120: i am trying to factor this polynomial. 25x(x is squared)-36y(y is squared). the simpler ones i have figured out but this one i am second guessing myself. thanks for the help.1 solutions Answer 200705 by Alan3354(30993)   on 2010-02-28 10:37:41 (Show Source): You can put this solution on YOUR website!i am trying to factor this polynomial. 25x(x is squared)-36y(y is squared). It's the difference of 2 squares.
 Rational-functions/275122: i am having difficulty w ith a problem. i need to factor this polynomial. 4x(4)-4x(2)+1. the parenthesis are for the power to the x. i really would appreciate the help. thank you, Kristina1 solutions Answer 200704 by Alan3354(30993)   on 2010-02-28 10:33:02 (Show Source): You can put this solution on YOUR website!4x(4)-4x(2)+1 Both the 1st and last terms are squares, so try that first. or That's it.
 decimal-numbers/275121: hello, My name is Jasmine I am trying to solve with this equation c(g)=3.03(g). what does this number represent 3.03 find c(2) find c (9) how do I work this1 solutions Answer 200703 by Alan3354(30993)   on 2010-02-28 10:29:57 (Show Source): You can put this solution on YOUR website!I am trying to solve with this equation c(g)=3.03(g). what does this number represent 3.03 find c(2) find c (9) how do I work this --------------- I think it's c(g) = 3.03*g (3.03 times g) 3.03 is a coefficient, for a multiplier. It's also the slope of the graph. ----------------- For c(2), sub 2 for g c(2) = 3.03*2 = 6.06 c(9) = 3.03*9 = 27.27
 Equations/275099: solve using the addition principle 2x+1 1 solutions Answer 200702 by Alan3354(30993)   on 2010-02-28 10:26:55 (Show Source): You can put this solution on YOUR website!2x+1< x+5 Subtract x x+1< 5 Subtract 1 x < 4
 Angles/275119: Without solving tell if the system is inconsistent, the equations are dependent or neither x+5y+31 2x-4y=-81 solutions Answer 200701 by Alan3354(30993)   on 2010-02-28 10:22:12 (Show Source): You can put this solution on YOUR website!Closer. ------------ Without solving tell if the system is inconsistent, the equations are dependent or neither x+5y+31 2x-4y=-8 One of the + signs in the 1st eqn should be and equal sign. In either case, the slopes of the 2 lines will be different, so the eqns are independent and consistent. --------------- Not inconsistent. Not dependent.
 Pythagorean-theorem/275108: What is another characteristic of Pythagorean theorem? 1 solutions Answer 200700 by Alan3354(30993)   on 2010-02-28 10:21:31 (Show Source): You can put this solution on YOUR website!Besides what?
 Angles/275118: Solve the system by substitution or elimination. If a system is inconsistent or has dependent equations, say no. x-4y+3 x+5+4y1 solutions Answer 200699 by Alan3354(30993)   on 2010-02-28 10:20:52 (Show Source): You can put this solution on YOUR website!No equal signs, no equations, no solutions.
 Problems-with-consecutive-odd-even-integers/275092: What is the smallest integer greater than 1 that is both the square of an integer and the cube of an integer? a) 8 b) 9 c) 36 d) 64 1 solutions Answer 200698 by Alan3354(30993)   on 2010-02-28 10:01:21 (Show Source): You can put this solution on YOUR website!To satisfy both, the exponent has to be 2*3 = 6 Therefore it's 2^6 = 64
 Pythagorean-theorem/275017: Pythagorean triplets represent a special relation that both satisfy the Pythagorean theorem and as well as another characteristic. It is this additional characteristic that I am especially looking for. There are several formulas that will produce Pythagorean triplets. I need to find at least one. I need at least 5 other examples of triplets, not including 3-4-5. 1 solutions Answer 200690 by Alan3354(30993)   on 2010-02-28 08:51:07 (Show Source): You can put this solution on YOUR website!In addition to the extensive list provided by the other tutor, it's interesting that But, there are no instances of integers that fit for any n <> 2 This was recently proven after centuries of effort - Fermat's Last Theorem.
 Polygons/274073: what is the area of a parabola inscribed in a rectangle 30 cm long and 22 cm wide1 solutions Answer 200673 by Alan3354(30993)   on 2010-02-27 22:13:58 (Show Source): You can put this solution on YOUR website!depends on the equation of the parabola, and the intersection points.
 percentage/275012: How do I manually work out the percentage of something : eg. 18 students out of 25 is 72% - how do I work this out without using a calculator. Thank you kindly, Susan1 solutions Answer 200672 by Alan3354(30993)   on 2010-02-27 22:11:06 (Show Source): You can put this solution on YOUR website!18/25 = p/100 Multiply NUM and DEN by 4 72/100 = p/100 p = 72 --> 72%
 Trigonometry-basics/274891: Suppose an ant walks counterclockwise on a unit circle from the point (1,0) to the endpoint of the radius that forms an angle of 240 degrees with the positive horizontal axis. How far has the ant walked? Give an exact answer (do not round off)1 solutions Answer 200671 by Alan3354(30993)   on 2010-02-27 22:09:31 (Show Source): You can put this solution on YOUR website!Suppose an ant walks counterclockwise on a unit circle from the point (1,0) to the endpoint of the radius that forms an angle of 240 degrees with the positive horizontal axis. How far has the ant walked? ------------------- The circumference of the circle is 2pi 240 degs is 2/3 of it, = 4pi/3
 Probability-and-statistics/274961: A brown paper bag contained 10 cubes, colored either red or yellow. Each of 25 students selected a cube from the bag without looking, recorded the color, and replaced the cube. 13 students picked a red cube and 12 students picked a yellow cube.1 solutions Answer 200668 by Alan3354(30993)   on 2010-02-27 21:28:21 (Show Source): You can put this solution on YOUR website!Thx for sharing. Do you have a question?
 Polynomials-and-rational-expressions/274997: A new car worth \$21,000 is depreciating in value by \$3,000 per year. Complete parts (a) through (c) below. a. Write a formula that models the car's value, y, in dollars, after x years. y= 1 solutions Answer 200667 by Alan3354(30993)   on 2010-02-27 21:27:06 (Show Source): You can put this solution on YOUR website!The y-intercept is -4. There are roots at -2/3 and +0.2 ---------------- email me if you need further assistance, or to check your work