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# Recent problems solved by 'Alan3354'

Alan3354 answered: 31517 problems
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 Geometry_proofs/591490: A system may have how many solutions?1 solutions Answer 375621 by Alan3354(31538)   on 2012-03-25 20:29:35 (Show Source): You can put this solution on YOUR website!A system may have how many solutions? ----------- There's no limit.
 Polynomials-and-rational-expressions/591367: How do I factor 3b^2-8b+51 solutions Answer 375591 by Alan3354(31538)   on 2012-03-25 16:15:43 (Show Source): You can put this solution on YOUR website!How do I factor 3b^2-8b+5 -------------- Hint: 3 = 1*3, only one possiblitly. 5 = 1*5, only one possibility. ------ You factor it by finding the factors.
 logarithm/591368: Can you help me solve this equation 1 solutions Answer 375589 by Alan3354(31538)   on 2012-03-25 16:14:24 (Show Source): You can put this solution on YOUR website!Can you help me solve this equation ---------- Too many equal signs.
 Equations/591316: what is the answer am stuck in this problem: 24a-22=-4(1-6a)1 solutions Answer 375564 by Alan3354(31538)   on 2012-03-25 14:17:45 (Show Source): You can put this solution on YOUR website!24a-22=-4(1-6a) 24a-22= 4 +24a -22 = 4 No solution
 Pythagorean-theorem/591289: what is the area of a triangle with a base of 20.3 m and a height of 5.6 m? 1 solutions Answer 375555 by Alan3354(31538)   on 2012-03-25 13:20:12 (Show Source): You can put this solution on YOUR website!what is the area of a triangle with a base of 20.3 m and a height of 5.6 m? --------- Area = b*h/2
 Travel_Word_Problems/591196: how long will it take you to travel 350 miles at 70 mph?1 solutions Answer 375528 by Alan3354(31538)   on 2012-03-25 07:48:54 (Show Source): You can put this solution on YOUR website!how long will it take you to travel 350 miles at 70 mph? ----------- d = r*t t = d/r
 Rectangles/591104: I am helping my 6th grader and I am stuck. The perimeter of a figure is 42.5, how do I find the area. The figure in question is an 8 sided polygon. 7 of the eight sides are the same size, the eighth runs along the top. Can you show me how to solve this please.1 solutions Answer 375497 by Alan3354(31538)   on 2012-03-24 21:05:32 (Show Source): You can put this solution on YOUR website!I am helping my 6th grader and I am stuck. The perimeter of a figure is 42.5, how do I find the area. The figure in question is an 8 sided polygon. 7 of the eight sides are the same size, the eighth runs along the top. Can you show me how to solve this please. ---------------------- Not sure what you mean by "runs along the top." Can you scan and send a sketch? Or a photo with a digital camera?
 Length-and-distance/591105: I need to convert 648 square ft into two decimal places. How do I do this?1 solutions Answer 375494 by Alan3354(31538)   on 2012-03-24 20:46:59 (Show Source): You can put this solution on YOUR website!I need to convert 648 square ft into two decimal places. How do I do this? ------------- Not sure what you mean. 648.00 maybe? Or
 Linear-equations/591122: I need help breaking down and finding the equeation for x-intercept -3, y-intercept 51 solutions Answer 375493 by Alan3354(31538)   on 2012-03-24 20:45:34 (Show Source): You can put this solution on YOUR website!I need help breaking down and finding the equeation for x-intercept -3, y-intercept 5 ----------------- "breaking down" is not a math operation I'm familiar with. -------------- you have 2 points, (-3,0) and (0,5) Slope = diffy/diffx = 5/3 = m --> y = (5/3)x + 5 --------------------- That's not "the" equation, it's an equation that fits. 5x - 3y = -15 is another.
 Geometry_Word_Problems/591097: Find the volume of this tube. You can think of it as a hollow cylinder. The tube consists of a smaller tube inside of a larger tube. The smaller tube has a radius of 5, and the larger tube has an overall radius of 10. The height for them both is 15. Please include the answer followed by pi. To Alan3354: It didn't work out because none of the answers I was getting were anything close to a, b, c, or d.1 solutions Answer 375491 by Alan3354(31538)   on 2012-03-24 20:01:58 (Show Source): You can put this solution on YOUR website!Find the volume of this tube. You can think of it as a hollow cylinder. The tube consists of a smaller tube inside of a larger tube. The smaller tube has a radius of 5, and the larger tube has an overall radius of 10. the height for them both is 15. a.1125 π in.3 b.375 π in.3 c.1500 π in.3 d.1875 π in.3 ------------------- cubic inches Vol = pi*15*75 = 1125*pi cubic inches. -------------- That's a
 Miscellaneous_Word_Problems/591111: In the army kitchen there are four pots for every three pans for every 21 glasses. All together there are 476 of these items. How many pans are there? a=pots; b=pans; c=glasses; So, 4a + 3b + 21c = 476 Now what? 1 solutions Answer 375490 by Alan3354(31538)   on 2012-03-24 19:57:31 (Show Source): You can put this solution on YOUR website!In the army kitchen there are four pots for every three pans for every 21 glasses. All together there are 476 of these items. How many pans are there? a=pots; b=pans; c=glasses; So, 4a + 3b + 21c = 476 Now what? ---------------- So, 4a + 3b + 21c = 476 The trick is, a, b & c are integers. You can't have 2/3 of a pot or pan. ----------- 4 + 3 + 21 = 28 476/28 = 17 ----- pots = 4*17 = 68 pans = 3*17 = 51 glasses = 21*17 = 357
 Linear-equations/591112: Solve the equation for y. Write the answer in y=mx+b form. 4x=10y-41 solutions Answer 375489 by Alan3354(31538)   on 2012-03-24 19:54:31 (Show Source): You can put this solution on YOUR website!Solve the equation for y. Write the answer in y=mx+b form. 4x=10y-4 --------------- Add 4 to both sides. Divide by 10.
 Rate-of-work-word-problems/591084: Hi, Thanks Sonia1 solutions Answer 375487 by Alan3354(31538)   on 2012-03-24 18:54:41 (Show Source): You can put this solution on YOUR website!15 labourers can lay 85 metres of cable in 10 days. How long will it take a) 12 labourers to ly 85 metres of cable? b) 8 labourers to lay 100 metres of cable? ---------------- 15 labourers can lay 85 metres of cable in 10 days. 85 metres = 15*10 man-days = 150 man-days -------- a) 12 labourers to ly 85 metres of cable? 150 man-days/12 men = 12.5 days ---------- b) 8 labourers to lay 100 metres of cable? ----- = (100/85)*(12/8) = 1200/340 days =~ 35.29 days
 Inequalities/591086: Which inequality represents at least 6 dogs? 1 solutions Answer 375486 by Alan3354(31538)   on 2012-03-24 18:45:04 (Show Source): You can put this solution on YOUR website!Which inequality represents at least 6 dogs? ------------- "at least 6" is 6 for more --------------- v >= 6
 Geometry_Word_Problems/591088: Find the volume of this tube. You can think of it as a hollow cylinder. The tube consists of a smaller tube inside of a larger tube. The smaller tube has a radius of 5, and the larger tube has an overall radius of 10. the height for them both is 15. a.1125 π in.3 b.375 π in.3 c.1500 π in.3 d.1875 π in.31 solutions Answer 375485 by Alan3354(31538)   on 2012-03-24 18:43:52 (Show Source): You can put this solution on YOUR website!Find the volume of this tube. You can think of it as a hollow cylinder. The tube consists of a smaller tube inside of a larger tube. The smaller tube has a radius of 5, and the larger tube has an overall radius of 10. the height for them both is 15. a.1125 π in.3 b.375 π in.3 c.1500 π in.3 d.1875 π in.3 ------------------- cubic inches Vol = pi*15*75 = 1125*pi cubic inches.
 Graphs/591056: Hi! I'm so frustrated with this question I was assigned. I would appreciate your help. Mrs. McKage encloses her rectangular garden, whose width is 57 feet, with 292 of chain link fencing. What is the length of her garden? I don't know how to get the equation I only have some info. 57 feet 292 of chain link fencing ? Thanks1 solutions Answer 375481 by Alan3354(31538)   on 2012-03-24 18:16:05 (Show Source): You can put this solution on YOUR website!Mrs. McKage encloses her rectangular garden, whose width is 57 feet, with 292 of chain link fencing. What is the length of her garden? I don't know how to get the equation I only have some info. 57 feet 292 of chain link fencing ? -------------------- Perimeter = 2W + 2L 292 = 2W + 2L 146 = W + L 146 = 57 + L L = 89 feet
 logarithm/591068: What is 3 1/3 - 11 solutions Answer 375480 by Alan3354(31538)   on 2012-03-24 18:14:08 (Show Source): You can put this solution on YOUR website!What is 3 1/3 - 1 2 1/3
 Trigonometry-basics/591078: How can I prove this identity? (1-cos^2theta)(1+cos^2theta)=2sin^2theta-sin^4theta? I tried to do it, and this is what I've come up with so far, and am not sure if I am doing it correctly. Working with the left side, I have the following: sin^2theta(1+cos^2theta) = sin^2theta+(sin^2theta*cos^2theta) And then it stops. 1 solutions Answer 375479 by Alan3354(31538)   on 2012-03-24 18:13:06 (Show Source): You can put this solution on YOUR website!How can I prove this identity? (1-cos^2theta)(1+cos^2theta)=2sin^2theta-sin^4theta? I tried to do it, and this is what I've come up with so far, and am not sure if I am doing it correctly. Working with the left side, I have the following: sin^2theta(1+cos^2theta) = sin^2theta+(sin^2theta*cos^2theta) --------------- (1-cos^2theta)(1+cos^2theta)=2sin^2theta-sin^4theta? sin^2(t)*(1+cos^2theta)=2sin^2theta - sin^4theta? (1+cos^2theta) = 2 - sin^2theta? 1+cos^2theta + sin^(t) = 2 cos^2(t) + sin^(t) = 1 I'm convinced.
 Age_Word_Problems/591077: If a plane can travel 500 miles per hour with the wind 400 miles per hour against the wind, find the speed of the plane without a wind and the speed of the wind? What is the speed of the plane in still air?1 solutions Answer 375478 by Alan3354(31538)   on 2012-03-24 18:08:27 (Show Source): You can put this solution on YOUR website!If a plane can travel 500 miles per hour with the wind 400 miles per hour against the wind, find the speed of the plane without a wind and the speed of the wind? What is the speed of the plane in still air? --------------- The "speed of the plane without a wind" is called the airspeed, and it's the average of the 2 groundspeeds. ------------- The windspeed is the difference between airspeed and groundspeed.
 Geometry_Word_Problems/591072: What is the effect of on volume of tripling the dimensions of this cylinder? The radius is 2 and the height is 7. a.The volume is multiplied by 6. b.The volume is multiplied by 21. c.The volume is multiplied by 9. d.The volume is multiplied by 9.1 solutions Answer 375476 by Alan3354(31538)   on 2012-03-24 18:06:48 (Show Source): You can put this solution on YOUR website!What is the effect of on volume of tripling the dimensions of this cylinder? The radius is 2 and the height is 7. -------------- If both the radius and the height are tripled, the volume is multiplied by 27. ------------- The radius is 2 and the height is 7. That is not relevant. It's x27 for any dimensions.
 Geometry_Word_Problems/591066: What is the effect on volume of multiplying the right rectangle's dimensions by 1/4? It is a rectangular prism and has a length of 12, a width of 4, and a height of 8. a. The volume is multiplied by 4. b. The volume is multiplied by 1/8. c. The volume is multiplied by 1/4. d. The volume is multiplied by 1/64.1 solutions Answer 375469 by Alan3354(31538)   on 2012-03-24 17:13:50 (Show Source): You can put this solution on YOUR website!What is the effect on volume of multiplying the right rectangle's dimensions by 1/4? ------------ Vol --> (1/4)L*(1/4)*W*(1/4*H = 1/64
 Geometry_Word_Problems/591059: Suppose the ratio of the volumes of two balls is 8 to 1. What is the ratio of their radii?1 solutions Answer 375468 by Alan3354(31538)   on 2012-03-24 17:12:38 (Show Source): You can put this solution on YOUR website!Suppose the ratio of the volumes of two balls is 8 to 1. What is the ratio of their radii? ---------- 2 to 1
 Geometry_Word_Problems/591063: Find the volume of the cylinder rounded to the nearest tenth. The height is 10 feet and the cylinder has a diameter of 12 feet. 1 solutions Answer 375467 by Alan3354(31538)   on 2012-03-24 17:08:48 (Show Source): You can put this solution on YOUR website!Find the volume of the cylinder rounded to the nearest tenth. The height is 10 feet and the cylinder has a diameter of 12 feet. -------- r = d/2 = 6 ft
 Pythagorean-theorem/591058: sideA=20 sideB=12 so what is the hypotinuse1 solutions Answer 375466 by Alan3354(31538)   on 2012-03-24 17:04:38 (Show Source): You can put this solution on YOUR website!sideA=20 sideB=12 so what is the hypotinuse [sic] -----------------------
 Linear-systems/591044: Please help me solve this system and graph 6u+v=32, 6u=v+401 solutions Answer 375459 by Alan3354(31538)   on 2012-03-24 16:03:12 (Show Source): You can put this solution on YOUR website!Please help me solve this system and graph 6u+v=32, 6u=v+40 -------------- 6u+v=32 6u=v+40 -------------- 6u+v=32 6u-v=40 ------- Add =================== Both eqns are linear, straight lines. You need 2 points to plot a straight line. Pick 2 values for 1 variable and find the other. Plot the 2 points. Draw a line thru them. ======================== Do the same for the other eqn. Notice that the intersection is the solution to the system.
 Functions/591021: Please help me and show work. 1. F(x)=3/x^2+2x-35 2. f(x)= x-1/x^2-1 1 solutions Answer 375458 by Alan3354(31538)   on 2012-03-24 16:00:27 (Show Source): You can put this solution on YOUR website!Please help me and show work. 1. F(x)=3/x^2+2x-35 What's the denomoninator? x^2? x^2 + 2? All 3 terms? 2. f(x)= x-1/x^2-1 Same question. ============== And, help you do what?
 Trigonometry-basics/591041: Name an angle on the interval [0,2pi] that is coterminal with an angle whose measure is -19pi/51 solutions Answer 375457 by Alan3354(31538)   on 2012-03-24 15:49:21 (Show Source): You can put this solution on YOUR website!Name an angle on the interval [0,2pi] that is coterminal with an angle whose measure is -19pi/5 ---------------- Add 2pi repeatedly until you get a positive value --- -19pi/5 + 10pi/5 = -9pi/5 ----- -9pi/5 + 10pi/5 = pi/5 ------ = pi/5
 Travel_Word_Problems/591040: A plane flew 1740 km in 6 hours with tail wind. On return trip, going into the wind, the plane flew 570 km in 3 hours. What is the planes speed if there was no wind.1 solutions Answer 375456 by Alan3354(31538)   on 2012-03-24 15:46:15 (Show Source): You can put this solution on YOUR website!A plane flew 1740 km in 6 hours with tail wind. On return trip, going into the wind, the plane flew 570 km in 3 hours. What is the planes speed if there was no wind. ---------------- 1740 km/6 hr = 290 km/hr 570 km/3 hr = 190 km/hr ------------- The plane's airspeed is the average = 240 km/hr ----------------- The term is airspeed, and planes don't use kilometers. They use nautical miles and knots.
 Money_Word_Problems/590908: You recieve a penny on January 1st, two cents the next day, four cents the next and so on,doubling every day. How long will it take to be a millionaire? Suppose you started with a nickle and doubled, how long before you were worth a million dollars?1 solutions Answer 375455 by Alan3354(31538)   on 2012-03-24 15:42:24 (Show Source): You can put this solution on YOUR website!You recieve a penny on January 1st, two cents the next day, four cents the next and so on,doubling every day. How long will it take to be a millionaire? --- The total each day is cents. \$1,000,000 = 100,000,000 cents. d*log(2) = log(99999999} d = log(99999999)/log(2) d =~ 26.575 days --> 26 days ------------------- Suppose you started with a nickle and doubled, how long before you were worth a million dollars? \$1,000,000 = 100,000,000 cents = 20,000,000 nickels Amt = d*log(2) = log(19999999} d = log(19999999)/log(2) d =~ 24.25 days --> 25 days ---------------- Not much difference. If you multiply by 5 each day, it was reduce the time more drastically.
 Rectangles/591033: if a rectangle has a perimeter 36 and area 65, how would I write the equation that you need to solve to find the width.1 solutions Answer 375453 by Alan3354(31538)   on 2012-03-24 15:19:30 (Show Source): You can put this solution on YOUR website!if a rectangle has a perimeter 36 and area 65, how would I write the equation that you need to solve to find the width. ------------- P = 2L + 2W Area = L*W