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# Recent problems solved by 'Nate'

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 Numbers_Word_Problems/66799: How can this be true ? A=3 B=4 A + B = 51 solutions Answer 47497 by Nate(3500)   on 2007-01-15 15:50:36 (Show Source): You can put this solution on YOUR website!3 + 4 does not equal 5 It is not true .... A + B - 2 = 5 is true
 Miscellaneous_Word_Problems/66750: Robert is on a diet and can have 500 calories for lunch. A 30z hamburger on whole wheat has 315 calories and a 12oz soda has 145. How many french fries can he eat if there is 10 calories in each french frie?1 solutions Answer 47388 by Nate(3500)   on 2007-01-14 21:50:59 (Show Source): You can put this solution on YOUR website!500 - 315 - 145 = 40 He can only have 40 more calories .... 40/10 = 4 french fries Good Luck Robert
 Miscellaneous_Word_Problems/66749: The perimeter of a swimming pool is 96m. The width is 3m more than 1/2 the length of the pool. Find the width and breadth of the pool.1 solutions Answer 47387 by Nate(3500)   on 2007-01-14 21:49:26 (Show Source): You can put this solution on YOUR website!length = l width = 0.5l + 3 2l + 2w = perimeter 2l + l + 6 = 96 3l = 90 l = 30 length = 30m width = 18m
 Linear-equations/66746: If (1,y) is a solution to y+x>=5y+5, what is the value of y? Answer Choices: A) -4>y B) -1>=y C) y>=4 D) y<11 solutions Answer 47386 by Nate(3500)   on 2007-01-14 21:47:32 (Show Source): You can put this solution on YOUR website!y + x >= 5y + 5 x - 5 >= 4y (x - 5)/4 >= y ........... (1,y) means x = 1 (1 - 5)/4 >= y -1 >= y (B)
 Inequalities/66747: My web homework for the beginning of this semester is an algebra review. I have not had algebra in 3 or 4 years, which is the reason I need a little refresher. So here's the problem.... The absolute value of the quantity (x-2)>0. I know one answer is 2, but the homework says there are 2 answers. If you could, please help me to remember how to do this!! Thanks so much for all of your help.1 solutions Answer 47385 by Nate(3500)   on 2007-01-14 21:45:53 (Show Source): You can put this solution on YOUR website!absolute value of a number is the square root of that number squared: x - 2 > +0 and x - 2 < -0 x - 2 > 0 and x - 2 < 0 x > 2 and x < 2 All real numbers except for two.
 Miscellaneous_Word_Problems/66725: 1- a six passanger plane cruises at 180 mph in calm air. If the plane flies 7 miles with the wind in the same amount of time as it flies 5 miles against the wind then what is the wind speed? 2- Smith bicycled 45 miles going east from Durango, and Jones bicycled 70 miles. Jones averaged 5 miles per hour more than Smith, and his trip took one-half hour than Smith's. How fast was each one traveling ?1 solutions Answer 47373 by Nate(3500)   on 2007-01-14 18:23:58 (Show Source): You can put this solution on YOUR website!1- a six passanger plane cruises at 180 mph in calm air. If the plane flies 7 miles with the wind in the same amount of time as it flies 5 miles against the wind then what is the wind speed? With Wind: rate = 180 + x time = t distance = 7 distance/rate = time With Wind: 7/(180 + x) = t Against Wind: rate = 180 - x time = t distance = 5 distance/rate = time Against Wind: 5/(180 - x) = t t = t 7/(180 + x) = 5/(180 - x) 7(180 - x) = 5(180 + x) 1260 - 7x = 900 + 5x 360 = 12x 30 = x The wind was 30mph. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 2- Smith bicycled 45 miles going east from Durango, and Jones bicycled 70 miles. Jones averaged 5 miles per hour more than Smith, and his trip took one-half hour longer than Smith's. How fast was each one traveling ? Smith: rate = r time = t distance = 45 distance/time = rate 45/t = r Jone: rate = r + 5 time = t + 1.5 distance = 70 distance/time = rate 70/(t + 1.5) = r + 5 70/(t + 1.5) - 5 = r r = r 45/t = 70/(t + 1.5) - 5
 logarithm/66704: Can you please help me solve the following single logarithm 2log2-3log4+log61 solutions Answer 47357 by Nate(3500)   on 2007-01-14 14:21:42 (Show Source): You can put this solution on YOUR website!2log(2) - 3log(4) + log(6) log(2^2) - log(4^3) + log(6) log(4) - log(64) + log(6) log(4*6/64) log(3/8) or about -0.4259687....
 Numbers_Word_Problems/66708: The sum of a number and –11 is 4. Find the number. 1 solutions Answer 47354 by Nate(3500)   on 2007-01-14 14:05:16 (Show Source): You can put this solution on YOUR website!The sum (+) of a number (x) and -11 is (=) 4. x + (-11) = 4 x - 11 = 4 x = 15
 Quadratic-relations-and-conic-sections/66711: This question is from textbook I have no idea how to do anything with conics, our teacher is not the best teacher and my question is, how to write an equation for the conic section- Ellipse with vertices at (-2,2) and (4,2) and co-vertices at (1,1) and (1,3)1 solutions Answer 47353 by Nate(3500)   on 2007-01-14 14:04:10 (Show Source): You can put this solution on YOUR website!We can tell that the center is at (1,2) in (h,k) form. The distance from the center to the farthest verticies is . The distance from the center to the closest certicies is . Equation for horizontal Ellipse:
 Numbers_Word_Problems/66710: 3(x – 4) > 7x – 9 What is the solution?1 solutions Answer 47351 by Nate(3500)   on 2007-01-14 13:58:40 (Show Source): You can put this solution on YOUR website!3x - 12 > 7x - 9 -3 > 4x -3/4 > x
 Polynomials-and-rational-expressions/66712: This question is from textbook intermediate algebra Simplify: (x^2-4x)-(2x^2+5)1 solutions Answer 47349 by Nate(3500)   on 2007-01-14 13:57:16 (Show Source): You can put this solution on YOUR website!x^2 - 4x - 2x^2 - 5 -x^2 - 4x - 5
 Rectangles/66684: the area of a rectangle is 108 cm2. the ratio of the width to the length 3:4. find the length and the width. 1 solutions Answer 47338 by Nate(3500)   on 2007-01-14 10:51:16 (Show Source): You can put this solution on YOUR website!3x and 4x width = 3x length = 4x w*l = area 3x*4x = 108 12x^2 = 108 x^2 = 9 x = +- 3 width = 9cm length = 12cm
 Expressions-with-variables/66685: y varies directly with n; m = 144 when n = 8.1 solutions Answer 47337 by Nate(3500)   on 2007-01-14 10:49:16 (Show Source): You can put this solution on YOUR website!y/n .... m and n?
 Graphs/66689: graph the equation y=4/3x-21 solutions Answer 47336 by Nate(3500)   on 2007-01-14 10:47:42 (Show Source):
 Graphs/66690: graph the equation y=-2x1 solutions Answer 47334 by Nate(3500)   on 2007-01-14 10:45:47 (Show Source):
 Graphs/66691: Determine which two equations represent parallel lines. Show work. (a) y=6x-5 (b) y=-6x+5 (c) y=6x+1 (d) y=-1/6x-51 solutions Answer 47333 by Nate(3500)   on 2007-01-14 10:44:49 (Show Source): You can put this solution on YOUR website!They are all in slope-intercept form: y = mx + b is the slope .... so find equations that is the exact same (a) and (c)
 Quadratic_Equations/66694: Solve. 10x-0.62=9(x-0.95)1 solutions Answer 47332 by Nate(3500)   on 2007-01-14 10:42:57 (Show Source): You can put this solution on YOUR website!10x - 0.62 = 9(x - 0.95) 10x - 0.62 = 9x - 8.55 x = -7.93
 Equations/66695: Solve. 8x-1-x=7x+11 solutions Answer 47331 by Nate(3500)   on 2007-01-14 10:41:27 (Show Source): You can put this solution on YOUR website!8x - 1 = 8x + 1 -1 = 1 No Solutions
 Average/66696: A home purchased for 300,000 depreciated 8% over a 1 year period. What was the value of the home at the end of the year?1 solutions Answer 47330 by Nate(3500)   on 2007-01-14 10:40:57 (Show Source): You can put this solution on YOUR website!300,000 - 0.08*300,000 300,000 - 24,000 \$276,000
 Functions/66697: Find the distance between two points given the coordinates (3,-5) and (6,9)1 solutions Answer 47329 by Nate(3500)   on 2007-01-14 10:39:23 (Show Source): You can put this solution on YOUR website! .. .. .. .. .. ....
 Equations/66698: Solve. 4(x+2)-3x=x-61 solutions Answer 47328 by Nate(3500)   on 2007-01-14 10:36:30 (Show Source): You can put this solution on YOUR website!4(x + 2) - 3x = x - 6 4x + 8 - 3x = x - 6 x + 8 = x - 6 8 = -6 No Solutions
 Linear_Algebra/66699: What is wrong with this arguement? Suppose x and y represent two real numbers, where x > y 2 > 1 2(y-x)> 1(y-x) 2y-2x>y-x y-2x>-x y>x The final inequality, y>x, is impossible because we were initally given x>y. Extra info in problem possibly the "arguement"...This is a true statement . Multiply both sides by y-x. Use the distribtive property . Subtract from both sides. Add 2x to both sides. 1 solutions Answer 47327 by Nate(3500)   on 2007-01-14 10:34:28 (Show Source): You can put this solution on YOUR website!A smaller number (y) minus a larger number (x) is a negative number .... so: y - x is a negative number 2(y - x) > 1(y - x) 2(a negative number) > 1(a negative number) 2y - 2x < y - x y - 2x < -x y < x
 Linear_Equations_And_Systems_Word_Problems/66700: The length of one of the equal legs of an isosceles triangle is 8 cm less than 4 times the length of the base. If the perimeter is 29 cm, find the length of one of the equal legs.1 solutions Answer 47326 by Nate(3500)   on 2007-01-14 10:30:01 (Show Source): You can put this solution on YOUR website!base = b equal sides = 4b - 8 b + 4b - 8 + 4b - 8 = 29 9b - 16 = 29 9b = 45 b = 5 base = 5cm equal sides = 12cm
 Proportions/66610: This question is from textbook McDougal Littell Pre-Algebra a scale drawing of a basketball court has a scale of 1 inch : 9 feet. the basketball court is 94 feet by 50 feet. find the dimensions of the court in the drawing.1 solutions Answer 47260 by Nate(3500)   on 2007-01-13 00:38:33 (Show Source): You can put this solution on YOUR website!94/9 = 10 4/9 50/9 = 5 5/9 10 4/9 inches by 5 5/9 inches
 Radicals/66606: Here is my question: -9 minus the sqrt of 108/3=????? I have worked this problem three times and have come up with -9 minus 2 times the sqrt of 3. Is this correct???? I hope someone can help me fast because my assignment is due within 4.5 hours. Thanks.1 solutions Answer 47255 by Nate(3500)   on 2007-01-12 22:36:19 (Show Source): You can put this solution on YOUR website!-9 - sqrt(108/3) -9 - sqrt(36*3/3) -9 - sqrt(36) -9 - 6 -15