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# Recent problems solved by 'oberobic'

 Pythagorean-theorem/525402: the diagonal of a square is the square root of 15. what is the perimeter of the square? 1 solutions Answer 348090 by oberobic(2304)   on 2011-11-02 21:23:51 (Show Source): You can put this solution on YOUR website! The diagonal of a square is the hypotenuse of a right triangle. Applying the Pythagorean formula... . 15 = a^2 + b^2 . Since it is a square, we know that a=b . 15 = 2a^2 a^2 = 7.5 a = sqrt(7.5) a = 2.738612787525831 . So the sides are 2.738612787525831. . The perimeter = 4*2.738612787525831 = 10.95445115010332 . Done.
 Travel_Word_Problems/525385: If a driver is travelling at the speed of 80km/hr how long will it take the driver to travel 210 km ? 1 solutions Answer 348084 by oberobic(2304)   on 2011-11-02 21:04:32 (Show Source): You can put this solution on YOUR website! The units of measure will help you understand what to do. You want an answer in terms of time, specifically in terms of hours. You know the vehicle is traveling at 80 km/hr. You know the vehicle travels 210 km. So, to end up with answer in hrs, you need to divide 210 km by 80 km/hr. . You also could apply the fundamental distance equation: d = r*t t = d/r . 210/80 = 21/8 = 2 5/8 hr . 5/8 hr * 60 min/hr = 300/8 min = 37.5 min . t = 2 hr 37.5 min . Done.
 Numbers_Word_Problems/525381: Twelve less than twice a number is equal to six subtracted from quadruple the number. Find the number. 1 solutions Answer 348082 by oberobic(2304)   on 2011-11-02 20:59:24 (Show Source): You can put this solution on YOUR website! 2x-12 = 4x-6 . -2x = 6 . x = -3 . 2x-12 = 2(-3)-12 = -18 4x-6 = 4(-3)-6 = =18 Correct. . Answer: x = -3. . Done.
 Rectangles/525377: Could you please answer the following. "A rectangle has a perimeter of 38 feet and an area of 48 square feet. What are the dimensions of the rectangle"? 1 solutions Answer 348079 by oberobic(2304)   on 2011-11-02 20:54:08 (Show Source): You can put this solution on YOUR website! 2(L+W) = 38 L*W = 48 so W = 48/L . substitute . 2(L+48/L) = 38 2L +96/L = 38 . multiply both sides by L to eliminate the fraction . 2L^2 +96 = 38L . 2L^2 -38L +96 = 0 . divide by 2 . L^2 -19L +48 = 0 . factor . (L-3)(L-16) = 0 . L = 3 or L=16 so W = 16 or 3, respectively . Done.
 Graphs/525355: Graphing the equation y+x= 14. 1 solutions Answer 348074 by oberobic(2304)   on 2011-11-02 20:47:01 (Show Source): You can put this solution on YOUR website! y = -x +14 . y-intercept = (0,14) . x-intercept occurs where y=0, so set y=0 and solve for x. . 0 = -x + 14 x = 14 (14,0) . With two points you can draw a line. .
 Graphs/525368: Please help me to solve this a^2+6a+5 1 solutions Answer 348073 by oberobic(2304)   on 2011-11-02 20:45:17 (Show Source): You can put this solution on YOUR website! You can factor the expression: . a^2 +6a + 5 = (a+1)(a+5) . Since we do not know what this expression equals, that's as far as we can go.
 Problems-with-consecutive-odd-even-integers/525369: Four times the first of three consecutive even integers is sixteen more than three times the second. Find the integers 1 solutions Answer 348072 by oberobic(2304)   on 2011-11-02 20:43:27 (Show Source): You can put this solution on YOUR website! There are three consecutive even integers. Define these as: x x+2 x+4 . 4x - 16 = 3*(x+2) 4x -16 = 3x + 6 x = 22 . x+2 = 24 . x+4 = 26 . Check the answer. 4x = 4*22 = 88 88 -16 = 72 3*24 = 72 Correct. . Answer: The three consecutive even integers are: 22, 24, and 26. . Done.
 Geometry_Word_Problems/525360: what will it cost to to carpet a rectangular floor measuring 15 feet by 21 feet if the carpet costs 20.97 per square yard 1 solutions Answer 348070 by oberobic(2304)   on 2011-11-02 20:39:54 (Show Source): You can put this solution on YOUR website! area = 15 ft * 21 ft = 315 sq ft but you need this in yards 1 sq yd = 3 ft * 3 ft = 9 sq ft . 315 sq ft / 9 sq ft/yd = 35 sq yd . 35 sq yd * \$20.97 / sq yd = \$733.9499999999999 or about \$733.95 . Done.
 test/525365: How to do algebra1 1 solutions Answer 348067 by oberobic(2304)   on 2011-11-02 20:36:55 (Show Source): You can put this solution on YOUR website! Ask a question.
 Probability-and-statistics/525364: p(blue 1 and green 2) 1 solutions Answer 348066 by oberobic(2304)   on 2011-11-02 20:36:29 (Show Source): You can put this solution on YOUR website! You need to provide a complete statement of the problem.
 Exponents-negative-and-fractional/525363: what is -1/2 over 2 1 solutions Answer 348064 by oberobic(2304)   on 2011-11-02 20:35:21 (Show Source): You can put this solution on YOUR website! (-1/2)/2 = -(1/2)*1/2 = -1/4
 Linear-equations/525356: what is the slope and y-intercept for -4(3x - y ) = -5 1 solutions Answer 348061 by oberobic(2304)   on 2011-11-02 20:30:34 (Show Source): You can put this solution on YOUR website! -4(3x - y ) = -5 -12x +4y = -5 4y = 12x -5 y = 3x - 5/4 . slope = 3 . y-intercept = (0,-5/4) .
 Linear-equations/525262: Write the slope-intercept equation for the line that passes through (-7, 6) and is perpendicular to -7x + 9y = -2 Please show all of your work. 1 solutions Answer 348056 by oberobic(2304)   on 2011-11-02 20:19:04 (Show Source): You can put this solution on YOUR website! The line perpendicular to -7x +9y = -2 has the inverse reciprocal slope. First get the line into slope-intercept form. -7x +9y = -2 9y = 7x -2 y = (7/9)x - 2/9 . m = slope = 7/9 . So, the perpendicular line would have a slope of -9/7. . y = -(9/7)*x + b . Use the point (-7,6) to find 'b'. . 6 = -(9/7)*(-7) + b 6 = 9 + b b = -3 . y = -(9/7)x -3 . In the following graph: the red line is y = (7/9)x - 2/9 the green line is y = -(9/7)x -3 .
 test/525277: Mariam uses a pottery wheel to make three bowls in 2 hours. Duane makes five bowls in 3 hours. Who makes bowls faster Mariam or Duane? 1 solutions Answer 348052 by oberobic(2304)   on 2011-11-02 20:02:07 (Show Source): You can put this solution on YOUR website! Mariam's bowl-making speed = 1/M bowls/hr 1/M * 2hr = 3 bowls . Duane's bowl-making speed = 1/D bowls/hr 1/D * 3 hr = 5 bowls . 1/M *2 = 3 2/M = 3 2 = 3M 3M = 2 M = 2/3 bowls/hr . 1/D *3 = 5 3/D = 5 3 = 5D 5D = 3 D = 3/5 bowls/hr . 2/3 = .67 3/5 = .60 . So, Mariam makes bowls faster than Duane.
 Numbers_Word_Problems/525251: The sum of 5 consecutive odd numbers is 70. What are these numbers? 1 solutions Answer 348051 by oberobic(2304)   on 2011-11-02 19:56:18 (Show Source): You can put this solution on YOUR website! Define the consecutive odd numbers as: x x+2 x+4 x+6 x+8 . 5x + 20 = 70 5x = 50 x = 10 . So the consecutive numbers are not odd, they are even. 10 12 14 16 18 --- 70 . Done.
 Graphs/525306: Write the slope-intercept equation for the line that passes through (-4, 6) and (2, -6) 1 solutions Answer 348047 by oberobic(2304)   on 2011-11-02 19:50:37 (Show Source): You can put this solution on YOUR website! m = (y-y1)/(x-x1) . m = 6-(-6) / -4-2 m = 12 / -6 m = -2 . y = -2x + b . use one of the points to find 'b' . 6 = -2*-4 + b 6 = 8 +b b = -2 . y = -2x -2 .
 Problems-with-consecutive-odd-even-integers/525298: What are four consecutive even integers such that the sum of the first and the third is six less than the largest? 1 solutions Answer 348045 by oberobic(2304)   on 2011-11-02 19:46:07 (Show Source): You can put this solution on YOUR website! Four consecutive even integers could be defined as w, x, y, and z. But then you would have 4 unknowns, so you would need 4 equations to solve the problem. However, we're told they're consecutive even integers, so you can define them as x, x+2, x+4, and x+6. Now you have only one unknown. . x + x+4 + 6 = x+6 . 2x = -4 x = -2 . So the numbers are -2, 0, 2, and 4
 test/525290: -q=5 1 solutions Answer 348044 by oberobic(2304)   on 2011-11-02 19:32:56 (Show Source): You can put this solution on YOUR website! -q = 5 . multiply both sides by -1 . q = -5
 Average/525294: You earn a 40% on a test worth 50 points. How many points did you score? 1 solutions Answer 348043 by oberobic(2304)   on 2011-11-02 19:31:03 (Show Source): You can put this solution on YOUR website! .4*50 = 20
 Mixture_Word_Problems/525282: keil is going to mke 10 pounds of mixed nuts for a party. If Keil can spend \$47.50 on nuts and peanuts cost \$2.00 per pound and fancey nuts cost 7.50 per pound, how many pounds of each should he buy? 1 solutions Answer 348038 by oberobic(2304)   on 2011-11-02 19:24:29 (Show Source): You can put this solution on YOUR website! p = lb of peanuts 200p = cost of peanuts in cents f = lb of fancy nuts 750f = cost of fancy nuts in cents . 4750 cents is the budget . 200p + 750f = 4750 . p + f = 10 so p = 10-f . Substitute . 200(10-f) + 750f = 4750 2000 -200f +750f = 4750 550f = 2750 f = 5 . p = 10-f p = 10-5 p = 5 . Check the budget. 200p = 200*5 = 1000 750f = 750*5 = 3750 1000 + 3750 = 4750 Correct. . Answer: 5 lb of peanuts and 5 lb of fancy nuts will make 10 lb of mix at a cost of \$47.50. . Done.
 Reduction-of-unit-multipliers/525280: Use two unit multipliers to convert 4.4 square meters to square centimeters. Ive tried to do it several ways and I cannot figure out how to go from meters squared to centimeters squared? 1 solutions Answer 348036 by oberobic(2304)   on 2011-11-02 19:18:39 (Show Source): You can put this solution on YOUR website! 1 m = 100 cm so 1 m^2 = 100 cm * 100 cm = 10000 cm^2 . 4.4 m^2 = 4.4 m^2 *10000 cm^2/m^2 = 44000 cm^2
 test/524862: Algebra 1 solutions Answer 347950 by oberobic(2304)   on 2011-11-02 06:21:32 (Show Source): You can put this solution on YOUR website! Ask a question.
 Polynomials-and-rational-expressions/524776: Given two relationships between variables y and x A. y=3x +1 B. y=3x how can we determine which grows is faster? 1 solutions Answer 347908 by oberobic(2304)   on 2011-11-01 22:53:22 (Show Source): You can put this solution on YOUR website! The growth rate is equivalent to the slope. y = 3x+1 and y = 3x Have the same slope, so they are parallel and grow at the same rate. 3x+1 will be higher than 3x, but the rate of growth is the same. .
 Travel_Word_Problems/524773: If you travel a distance of 10km in 5 hours what is your speed? 1 solutions Answer 347907 by oberobic(2304)   on 2011-11-01 22:43:16 (Show Source): You can put this solution on YOUR website! 10 km / 5 hr = 2 km/hr