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# Recent problems solved by 'Alan3354'

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 logarithm/738020: express the following as a single logarithm log2+log3+log41 solutions Answer 450645 by Alan3354(31528)   on 2013-04-15 19:12:01 (Show Source): You can put this solution on YOUR website!express the following as a single logarithm log2+log3+log4 ----------- Logs are exponents Adding exponents --> multiplying = log(2*3*4) = log(24)
 Divisibility_and_Prime_Numbers/738022: the prime factors of a number are 2*2*2*2 and 5. What is the number1 solutions Answer 450644 by Alan3354(31528)   on 2013-04-15 19:06:37 (Show Source): You can put this solution on YOUR website!the prime factors of a number are 2*2*2*2 and 5. What is the number ------------- It's the product of the factors.
 Circles/738021: If the area of a circle is 4(pi) inches square, what is the diameter of the circle? 1 solutions Answer 450643 by Alan3354(31528)   on 2013-04-15 19:05:58 (Show Source): You can put this solution on YOUR website!If the area of a circle is 4(pi) inches square, what is the diameter of the circle? ----------------- d = 2*r
 Volume/738004: the volumes of two similar cones are in the ratio 64:216.what is the ratio of their heights? 1 solutions Answer 450642 by Alan3354(31528)   on 2013-04-15 19:05:14 (Show Source): You can put this solution on YOUR website!the volumes of two similar cones are in the ratio 64:216.what is the ratio of their heights? --------- 64:216 = 8:27 ----------- Ratio of h = cube root of volume ratio = 2:3
 Trigonometry-basics/738012: Find the complement and supplement of an angle with the given measure. 32°20' I got C: 57° 80' but it's wrong. Help?1 solutions Answer 450640 by Alan3354(31528)   on 2013-04-15 19:03:27 (Show Source): You can put this solution on YOUR website!Find the complement and supplement of an angle with the given measure. 32°20' I got C: 57° 80' ------------------- I don't know what C is, but 90 - 32°20' = 57° 40' (there are 60' per degree) ----- The supplement is the complement + 90
 Travel_Word_Problems/738014: the bus travels a total of 80 miles in 30 seconds.What is the average speed of the bus?1 solutions Answer 450638 by Alan3354(31528)   on 2013-04-15 19:00:54 (Show Source): You can put this solution on YOUR website!the bus travels a total of 80 miles in 30 seconds.What is the average speed of the bus? ----------- d = r*t r = d/t = 80 mi/30 sec r = 8/3 mi/sec, a fast bus
 Subset/737997: what are the subsets of (-9,7)? how do you find the subset?1 solutions Answer 450637 by Alan3354(31528)   on 2013-04-15 18:38:16 (Show Source): You can put this solution on YOUR website!what are the subsets of (-9,7)? how do you find the subset? ------------ 2 elements --> 2^2 = 4 subsets ---- {} null set {-9} {7} {-9, 7}
 Rate-of-work-word-problems/738002: A boy weighing 90 pounds sits 3 feet from the fulcrum of a seesaw. His younger brother weighs 50 pounds. How far on the other side of the fulcrum should he sit to balance the seesaw?1 solutions Answer 450634 by Alan3354(31528)   on 2013-04-15 18:35:32 (Show Source): You can put this solution on YOUR website!A boy weighing 90 pounds sits 3 feet from the fulcrum of a seesaw. His younger brother weighs 50 pounds. How far on the other side of the fulcrum should he sit to balance the seesaw? ------------- 90*3 = 50*d
 test/738000: Factor x^2+3x-4=501 solutions Answer 450633 by Alan3354(31528)   on 2013-04-15 18:29:51 (Show Source): You can put this solution on YOUR website!Factor x^2+3x-4=50 --------------- Polynomials are factored. Equations are solved. This is an equation. ======================= Factor x^2+3x-4=50 **** That can't be factored. ---- Subtract 50 from both sides. x^2 + 3x - 54 = 0 Now the left side can be factored. (x+9)*(x-6) = 0 --> x = -9, x = 6
 Travel_Word_Problems/737917: if a train travels ten kilometers in ten minutes,how fast is it going 1 solutions Answer 450596 by Alan3354(31528)   on 2013-04-15 15:45:26 (Show Source): You can put this solution on YOUR website!if a train travels ten kilometers in ten minutes,how fast is it going ------------ 1 km/minute
 Polynomials-and-rational-expressions/737925: Please check my answer, I am not sure which is correct Problem: (2x^4-3x^2+8x-1)-(x^4+3x^3+x+4) answer: x^4-3x^3-3x^2+7x-5 OR x^4-3x^2+7x-5-3x^3 (x^4)+(-3x^2)+(-3x^3)+(7x)+(-5)=x^4-3x^3-3x^2+7x-5 In what order do results have to be? Which order is correct because I have been it the other way as well. Thanks 1 solutions Answer 450595 by Alan3354(31528)   on 2013-04-15 15:44:04 (Show Source): You can put this solution on YOUR website!Please check my answer, I am not sure which is correct Problem: (2x^4-3x^2+8x-1)-(x^4+3x^3+x+4) answer: x^4-3x^3-3x^2+7x-5 OR x^4-3x^2+7x-5-3x^3 The answers are the same, just different order. Descending order is customary, and expected. x^4-3x^3-3x^2+7x-5 ----------------------------- (x^4)+(-3x^2)+(-3x^3)+(7x)+(-5)=x^4-3x^3-3x^2+7x-5 In what order do results have to be? Which order is correct because I have been it the other way as well. ------------- Any order is correct, and they're all the same answer. Descending order makes it easier to do and to check.
 Quadratic_Equations/737870: Factor the following perfect square trinomial. 64z^2+16z+1 I always have problems with me, can someone please explain. Thank you!1 solutions Answer 450585 by Alan3354(31528)   on 2013-04-15 13:54:17 (Show Source): You can put this solution on YOUR website!Factor the following perfect square trinomial. 64z^2+16z+1 ----------------- If you know it's a perfect square, it's the sqrt of the end terms.
 test/737734: 2x^2-20x+501 solutions Answer 450584 by Alan3354(31528)   on 2013-04-15 13:44:56 (Show Source): You can put this solution on YOUR website!2x^2-20x+50 ----------------- Do you have a question?
 Travel_Word_Problems/737821: If two cars have to travel 1000 miles one car is driving 150 miles per hour and the other car is traveling 70 miles per hour with a 200 mile head start which car will reach the 1000 mile mark first and how do you figure out the equation 1 solutions Answer 450576 by Alan3354(31528)   on 2013-04-15 12:10:10 (Show Source): You can put this solution on YOUR website!If two cars have to travel 1000 miles one car is driving 150 miles per hour and the other car is traveling 70 miles per hour with a 200 mile head start which car will reach the 1000 mile mark first --------------- For the faster car: d = r*t t = d/r t = 1000/150 = 20/3 hours t =~ 6.67 hours ---- For the slower car: t = 800/70 = 80/7 hours t =~ 11.43 hours
 Mixture_Word_Problems/737831: Determine the amounts of 20% and 50% salt solutions that should be mixed to obtain 300 gallons of 41% salt solution. Show all work.1 solutions Answer 450575 by Alan3354(31528)   on 2013-04-15 12:00:47 (Show Source): You can put this solution on YOUR website!Determine the amounts of 20% and 50% salt solutions that should be mixed to obtain 300 gallons of 41% salt solution. ------------ t = 20% f = 50% ----- t + f = 300 (total solution) 20t + 50f = 41*300 (total salt) ---- Solve for t & f
 Average/737648: find 65% of 821 solutions Answer 450482 by Alan3354(31528)   on 2013-04-14 21:32:52 (Show Source): You can put this solution on YOUR website!find 65% of 82 ------- = (65/100)*82
 Quadratic-relations-and-conic-sections/737637: Write the equation of the circle x^2+10x+y^2-6y+29=0 in standard form. Find the radius and center of the circle. More than an answer I need an explanation please. I have seen how some people "complete the square", and I don't know how to do that. Thank you in advance.1 solutions Answer 450464 by Alan3354(31528)   on 2013-04-14 20:33:37 (Show Source): You can put this solution on YOUR website!Write the equation of the circle x^2+10x+y^2-6y+29=0 in standard form. Find the radius and center of the circle. --------------- Complete the squares for x and y separately. In the form , a = 1 & b = 10 Add c, c = (b/2a)^2 c = (10/2)^2 = 25 --------- y^2-6y c = (-6/2)^2 = 9 ---- is "Standard Form" -------- 5 = r^2 --> The center is (-5,3)
Distributive-associative-commutative-properties/737620: what are two numbers that multiply to make -56 and add to make -6?
1 solutions

Answer 450463 by Alan3354(31528)   on 2013-04-14 20:19:03 (Show Source):
You can put this solution on YOUR website!
what are two numbers that multiply to make -56 and add to make -6?
------------
x*y = -56
x + y = -6
y = -x -6
------
x*(-x-6) = -56

 Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=260 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 5.06225774829855, -11.0622577482985. Here's your graph:

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The 2 solutions are the 2 numbers.

 test/737550: How many solutions are there to this: 4x-y-4=0 , 3x+2y-14=01 solutions Answer 450442 by Alan3354(31528)   on 2013-04-14 18:30:00 (Show Source): You can put this solution on YOUR website!How many solutions are there to this: 4x-y-4=0 , 3x+2y-14=0 --------- 1
 Quadratic_Equations/737579: Hi tutor, Can you show me how to factor the following step by step: 625-(y-5)^2 Thank you. 1 solutions Answer 450441 by Alan3354(31528)   on 2013-04-14 18:27:49 (Show Source): You can put this solution on YOUR website!Can you show me how to factor the following step by step: 625-(y-5)^2 ------------ It's a difference of 2 squares. ----
 Quadratic_Equations/737584: Hey tutor, Can you show me how to do this question step by step: Write a quadratic equation in the form ax^2 +bx+c=0, where a, b, c are integers where the roots of the equations are 1/2 and 3/5 Thanks. If you can, will you please do this step by step. 1 solutions Answer 450440 by Alan3354(31528)   on 2013-04-14 18:26:18 (Show Source): You can put this solution on YOUR website!duplicate
 �t�e�s�t/737590: Hello, Can you please show me how to do the following question step by step Write a quadratic equation the form ax^2+bx+c=0, where a,b,c are integers and the roots of the equation are 1/2 and 3/5 can you solve it step by step. Thank you so much. 1 solutions Answer 450439 by Alan3354(31528)   on 2013-04-14 18:25:35 (Show Source): You can put this solution on YOUR website!Write a quadratic equation the form ax^2+bx+c=0, where a,b,c are integers and the roots of the equation are 1/2 and 3/5 ---------------- (x - 1/2)*(x - 3/5) = 0 Multiply by 2*5 to eliminate fractions (2x-1)*(5x-3) = 0
 Rational-functions/737583: x^2+4x-9 need to find the min y value1 solutions Answer 450438 by Alan3354(31528)   on 2013-04-14 18:22:24 (Show Source): You can put this solution on YOUR website!x^2+4x-9 need to find the min y value ---------- There's no y mentioned.
 Angles/737494: you are domb1 solutions Answer 450395 by Alan3354(31528)   on 2013-04-14 15:24:28 (Show Source): You can put this solution on YOUR website!you are domb ----------- What is "domb?"
 Travel_Word_Problems/737488: if your friend lives 90 miles away and you need to be at their house in 120 minutes, how fast do you need to drive up there in miles per hour?1 solutions Answer 450393 by Alan3354(31528)   on 2013-04-14 15:22:55 (Show Source): You can put this solution on YOUR website!if your friend lives 90 miles away and you need to be at their house in 120 minutes, how fast do you need to drive up there in miles per hour? ------------ 120 mins = 2 hours --- d = r*t t = d/r
 �t�e�s�t/737384: Hello I need some help with this question which I have been given on my maths past paper. Here is the Question: b^3-3b. I thought it could involve brackets but I'm not sure how to go about working this out. Any help would be a great.1 solutions Answer 450348 by Alan3354(31528)   on 2013-04-14 10:07:10 (Show Source): You can put this solution on YOUR website!I need some help with this question which I have been given on my maths past paper. Here is the Question: b^3-3b. I thought it could involve brackets but I'm not sure how to go about working this out. Any help would be a great. --------------- b^3-3b is not a question. You have to say what you want to do.
 Graphs/737395: Sketch the graph of each line. y= -3x+4 Please help I am so lost1 solutions Answer 450347 by Alan3354(31528)   on 2013-04-14 10:05:25 (Show Source): You can put this solution on YOUR website!Sketch the graph of each line. y= -3x+4 ---------------- It's a straight line, so you need 2 points. Pick 2 values for x and find y. --- x = 0, y = 4 --> point (0,4) x = 2, y = -2 --> point (2,-2) --- Plot the 2 points, draw a line thru them.
 Miscellaneous_Word_Problems/737402: Solve: log2x=11 solutions Answer 450346 by Alan3354(31528)   on 2013-04-14 10:03:17 (Show Source): You can put this solution on YOUR website!log2x=1 ----------- Hint: log(2x) = log(10)
 Travel_Word_Problems/737350: your tires: wheels are 1.25 inches in diameter. fastest speed is 3ft/sec. maximum distance to travel is 16 x (18 cm) 1. convert the dimensions for the wheel and maximum distance to feet. wheel diameter in feet:______ maximum distance in feet:______ a 5% error in distance is allowed. what is the total distance if the 5% error is applied? shorter distance with error:______ longer distance with error:_______ 2. how many times does the wheel turn to travel the maximum distance?_____ if you take into account the 5% error, how does this affect the number of truns of the wheel?_____ 3. how long does it take to travel the maximum distance at full speed?_____ is this impacted by the distance error? how?______ 4. what is the acceleration needed to travel the maximum distance when starting from a standstill?______ how is acceleration impacted by the distance error?_____ 5. examine the pathways below calculate the time to travel each path, taking into account slowing and turning time. also calculate the number of turns of the wheel on each path segment. the star is the finish. corridors are 16.2 cm wide. be specific about the time you allow fro slowing and turning. ...............................9.5 ft. .......................______________________ ......................|............................................| ......................|......_________....................| ......................|.....|..................|...................| .............9.5 ft.|.....|_________|...................| ......................|........................|...................| ......................|......______......|...................| ......................|.....|3 ft.......|.....|...................| ......................|.....|............|2.5ft..................| ......................|.....|............|__________*__| ......................|.....|............|.........................| ......................|.....|______|____________| ...................... Start assume all blocked areas are 16.2 cm wide unless specified. assume all corridors are 16.2 cm wide,expect for the one containing the star. which path is the fastest? shortest? why? (do you have to slow more on a sharp turn?) could you use the number of wheel turn to determine the path of motion? 1 solutions Answer 450341 by Alan3354(31528)   on 2013-04-14 08:45:05 (Show Source): You can put this solution on YOUR website!your tires: wheels are 1.25 inches in diameter. fastest speed is 3ft/sec. maximum distance to travel is 16 x (18 cm) 1. convert the dimensions for the wheel and maximum distance to feet. wheel diameter in feet: = 1.25/12 ft maximum distance in feet: 16*18 = 288 cm max d = 288/(2.54*12) = 24/2.54 ft ----------------- a 5% error in distance is allowed. what is the total distance if the 5% error is applied? = max d * 0.95 shorter distance with error: = max d * 0.95 longer distance with error: max d * 1.05 -------------------- 2. how many times does the wheel turn to travel the maximum distance? 1.25 in = 3.175 cm Circumference = 3.175*pi cm # of turns = max d/circumference ------------------- if you take into account the 5% error, how does this affect the number of truns of the wheel? Changes by same percent ------------------ 3. how long does it take to travel the maximum distance at full speed? 3 ft/sec = 91.44 cm/sec t = d/r --------------- is this impacted by the distance error? how? By the same %age. ------------------- 4. what is the acceleration needed to travel the maximum distance when starting from a standstill? Any acceleration > 0 will work, the times depend on the value. ----------- how is acceleration impacted by the distance error? by the same %age. ----------------- 5. examine the pathways below calculate the time to travel each path, taking into account slowing and turning time. also calculate the number of turns of the wheel on each path segment. the star is the finish. corridors are 16.2 cm wide. be specific about the time you allow fro slowing and turning. --- Not enough info, no info given on slowing and turning time. ...............................9.5 ft. .......................______________________ ......................|............................................| ......................|......_________....................| ......................|.....|..................|...................| .............9.5 ft.|.....|_________|...................| ......................|........................|...................| ......................|......______......|...................| ......................|.....|3 ft.......|.....|...................| ......................|.....|............|2.5ft..................| ......................|.....|............|__________*__| ......................|.....|............|.........................| ......................|.....|______|____________| ...................... Start assume all blocked areas are 16.2 cm wide unless specified. assume all corridors are 16.2 cm wide,expect for the one containing the star. which path is the fastest? shortest? why? (do you have to slow more on a sharp turn?) could you use the number of wheel turn to determine the path of motion?
 Exponents/737363: what is the solution of 5^x-3 * 3^2x-8 =2251 solutions Answer 450340 by Alan3354(31528)   on 2013-04-14 08:35:51 (Show Source): You can put this solution on YOUR website!what is the solution of 5^x-3 * 3^2x-8 =225 ------------ x-3 = 2 x = 5 ------- 2x-8 = 2 x = 5
 Rate-of-work-word-problems/737347: If 5 men can paint 100 meters long in 10 days of a 8 hours each. in how many days of 6 hours each will 8 men paint a wall 30 meters long? 1 solutions Answer 450339 by Alan3354(31528)   on 2013-04-14 08:32:40 (Show Source): You can put this solution on YOUR website!If 5 men can paint 100 meters long in 10 days of a 8 hours each. in how many days of 6 hours each will 8 men paint a wall 30 meters long? --------------------- 10 8 hr days = 80 hours 5*80 = 400 man-hours for 100 meters 400 m-h/100 meters = 4 m-h/meter ----- 30*4 = 120 m-h to do 30 meters 120 m-h/8 men = 15 hours 15 hr/6 hr/day = 2.5 days