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# Recent problems solved by 'Fombitz'

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 Polynomials-and-rational-expressions/319833: Divide the polynomials. (a^2 − 28) ÷ (a − 5)1 solutions Answer 229860 by Fombitz(13828)   on 2010-07-09 09:44:52 (Show Source): You can put this solution on YOUR website!First term : Subtract this product from the original polynomial to get the remainder, . . . Second term: Subtract this product from the remainder to get the new remainder, No further division is possible. . . . Gather up the terms and the remainder.
 Geometry_Word_Problems/319824: A circle is inscribed in an equilateral triangle, the radius of the circle is 6 cm. Find the area of the triangle.1 solutions Answer 229858 by Fombitz(13828)   on 2010-07-09 09:40:14 (Show Source): You can put this solution on YOUR website!The apothem of the triangle is equal to the radius of the inscribed circle and related to the side, , by, The area of the triangle is cm^2
 Travel_Word_Problems/319815: An airplane travels due north at 500mph. If the wind blows at 50mph from west to east, what is the resultant speed? Round to the nearest tenth of a mile.1 solutions Answer 229857 by Fombitz(13828)   on 2010-07-09 09:29:34 (Show Source): You can put this solution on YOUR website!(500 N, 50 E) mph
 Exponential-and-logarithmic-functions/319807: solve sqrt 2x^2 + 7x = x + 21 solutions Answer 229856 by Fombitz(13828)   on 2010-07-09 09:27:22 (Show Source): You can put this solution on YOUR website! Two solutions: . . .
 Exponential-and-logarithmic-functions/319808: for f(x)= sqrt 9x-2-4 find all values x for which f(x)=01 solutions Answer 229855 by Fombitz(13828)   on 2010-07-09 09:24:59 (Show Source):
 Exponential-and-logarithmic-functions/319806: find the solution for 3(1.5^x)+10=2801 solutions Answer 229854 by Fombitz(13828)   on 2010-07-09 09:23:00 (Show Source):
 Miscellaneous_Word_Problems/320910: A building contractor is to dig a foundation 42 feet long, 24 feet wide, and 9 feet deep. The contractor pays \$5.00 per load for trucks to remove the dirt. Each truck holds 8 cubic yards. What is the cost to the contractor to have all the dirt hauled away? Not sure how to solve problem1 solutions Answer 229853 by Fombitz(13828)   on 2010-07-09 09:19:57 (Show Source): You can put this solution on YOUR website!Find the volume of the dirt that needs to be hauled away. Then find the number of truckloads to haul the dirt. Multiply the number of truckloads by cost per truckload to get the total cost. . . . Volume cubic feet Convert from cubic feet to cubic yards. yd = ft yd^3= ft^3 yd^3= ft^3 yd^3 . . . Each truck holds yd^3. So the number of trucks equals total volume divided by truck volume. . . . Each truck cost \$5. . . . To remove the dirt, the contractor needs to pay \$630.
 Travel_Word_Problems/320944: Suppose it takes 3 days for a space vehicle to travel from Earth to the moon. About how long would it take the same vehicle traveling at the same speed to reach Jupiter? Closest distance from Earth to: Moon 240,000 mi Jupiter 391,000,000mi Thank you, Julie1 solutions Answer 229852 by Fombitz(13828)   on 2010-07-09 09:13:44 (Show Source): You can put this solution on YOUR website!Set up a ratio. 3 days is to 240000 as N is to 391000000. days . . . Are we there yet? It's that extra 1/2 day that makes it seems really long.
 test/320877: convert 5284 into base2 1 solutions Answer 229851 by Fombitz(13828)   on 2010-07-09 09:11:17 (Show Source): You can put this solution on YOUR website! . . . . . . . . . . . 1010010100100
 Equations/320942: Consider y= 6x+5(over)4x-3 Solve for x. I have no clue what to do......1 solutions Answer 229847 by Fombitz(13828)   on 2010-07-09 09:02:10 (Show Source): You can put this solution on YOUR website! Multiply both sides by .
 Problems-with-consecutive-odd-even-integers/320923: Express the following using negative exponents 1/6^41 solutions Answer 229846 by Fombitz(13828)   on 2010-07-09 08:59:25 (Show Source):
 Linear-equations/320932: Solve the system of equations by graphing. y= 1/4 x + 5 3y= 3/4 x + 151 solutions Answer 229845 by Fombitz(13828)   on 2010-07-09 08:57:13 (Show Source): You can put this solution on YOUR website!The second equation is the first equation multiplied by 3. They are the same line. This is a dependent system, every solution of line 1 is a solution of line 2, so there are infinitely many solutions.
 Functions/320811: For the Function f(x)=x^2-x+1 Find f(0) Solve f(x)=01 solutions Answer 229844 by Fombitz(13828)   on 2010-07-09 08:55:10 (Show Source): You can put this solution on YOUR website! . . . Use the quadratic formula, where
 Problems-with-consecutive-odd-even-integers/320906: The number 35805 is the product of three consecutive odd integers. Find the average of there three integers.1 solutions Answer 229843 by Fombitz(13828)   on 2010-07-09 08:51:30 (Show Source): You can put this solution on YOUR website!The three consecutive odd integers are ,, and . Take the cube root of 35805 to get near the middle integer. Find the average, The average of the three numbers is 33.
 test/320864: help me with writting an essay 1 solutions Answer 229840 by Fombitz(13828)   on 2010-07-09 08:47:18 (Show Source): You can put this solution on YOUR website!Is it an essay regarding algebra??
 Quadratic_Equations/320755: Find the vertex and type in an ordered pair. Problem: f(x) = -x^2 + 4x + 5 Thanks very much!1 solutions Answer 229839 by Fombitz(13828)   on 2010-07-09 08:46:32 (Show Source): You can put this solution on YOUR website!Complete the square to convert to vertex form, where (h,k) is the vertex. . . . . . . The vertex is (2,9)
 Exponents/320905: If 3^x+2^y= 995 and 3^x – 2^y= 473, find the value of x+y.1 solutions Answer 229837 by Fombitz(13828)   on 2010-07-09 08:32:18 (Show Source): You can put this solution on YOUR website!1. 2. Add eq. 1 and eq. 2 together, Then from eq. 1, . . . . . . . . .
 Travel_Word_Problems/320807: if you live one hour from work and decide to walk four miles per hour, how long would it take to get to work? 1 solutions Answer 229704 by Fombitz(13828)   on 2010-07-08 14:31:27 (Show Source): You can put this solution on YOUR website!Is this a trick question? You already mentioned that you live 1 hour from work. So it would take you 1 hour to get to work.
 Sequences-and-series/320727: (1/1*2)+(1/2*3)+(1/3*4)+.........find the sum of n terms of the given series?1 solutions Answer 229703 by Fombitz(13828)   on 2010-07-08 14:28:17 (Show Source): You can put this solution on YOUR website!Use a substitution, So then +...=(+...+)-(+...+) +...
 Polynomials-and-rational-expressions/320740: (-t5^6)^4 (-t^3 5^5)^3 please help1 solutions Answer 229702 by Fombitz(13828)   on 2010-07-08 14:15:50 (Show Source):
 Geometry_Word_Problems/320802: Very confusing for me , need helping solving. Thank you. Use the theoretical probability formula to solve the following problem. Express the probability as a fraction reduced to lowest terms. A 12-sided die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Find the probability of rolling a 4. The probability of rolling a 4 is ____ (integer or simplified fraction)1 solutions Answer 229701 by Fombitz(13828)   on 2010-07-08 14:13:06 (Show Source): You can put this solution on YOUR website!There are 12 possible outcomes. Only one outcome is a 4.
 Quadratic_Equations/320758: Find the vertex and type in an ordered pair. Problem: f(x) = 3x^2 - 12x + 21 Thanks for your help!!1 solutions Answer 229700 by Fombitz(13828)   on 2010-07-08 14:11:05 (Show Source): You can put this solution on YOUR website!Complete the square to get into vertex form, where the (h,k) is the vertex. . . . (2,9)
 Probability-and-statistics/320761: Assume p is false and q is true. Make into a true statement1 solutions Answer 229698 by Fombitz(13828)   on 2010-07-08 14:08:10 (Show Source): You can put this solution on YOUR website!~p & q - TRUE p ^ q - TRUE
 Linear-equations/320771: Can you please help me work through the following: I need to Graph the group of functions on the same coordinate system: f(x)=1/7x^2, g(x)=1/7x^2+5, s(x)=1/7x^2-7 Jerry jerry@san.rr.com1 solutions Answer 229697 by Fombitz(13828)   on 2010-07-08 14:07:04 (Show Source):
 Polynomials-and-rational-expressions/320799: How can i use the rational root theorem and polynomail long division to factor the following completely? x^3+3x^2+3x+11 solutions Answer 229696 by Fombitz(13828)   on 2010-07-08 14:03:36 (Show Source): You can put this solution on YOUR website!From the rational roots theorem, . . . . . . . . So is a root and is a factor of the polynomial. . . . Now use polynomial long division to find the remaining quadratic, First term: Subtract that product from the original polynomial to get the remainder, Second term: Subtract that product from the previous remainder to get the new remainder, Final term: Subtract that product from the previous remainder to get the new remainder, Gather all of the terms. . . . A triple root at
 Length-and-distance/320788: show that the triangle with vertices A(-3,4), M(3.1) and Y(0,-2) is isosceles1 solutions Answer 229695 by Fombitz(13828)   on 2010-07-08 13:55:07 (Show Source): You can put this solution on YOUR website! Find the distance AY and AM. Since the distances are equal, the triangle is isoceles.
 Graphs/320795: solve the following equation for x 5 cos x + 4 = 7 (solve for values of x between 0 and 180 degrees)1 solutions Answer 229693 by Fombitz(13828)   on 2010-07-08 13:50:31 (Show Source): You can put this solution on YOUR website! degrees
 Age_Word_Problems/320713: jerry was 1/3 as young as his granpa 15 years ago. if the sum of their ages is 110, how old is his grandpa?1 solutions Answer 229674 by Fombitz(13828)   on 2010-07-08 11:07:47 (Show Source): You can put this solution on YOUR website!Let Jerry's age be , Grandpa's . Fifteen years ago, Jerry was , Grandpa was . 1. Then also, Substitute this into eq. 1, . . .
 Polynomials-and-rational-expressions/320707: Solve. y+9/y=-101 solutions Answer 229673 by Fombitz(13828)   on 2010-07-08 11:01:32 (Show Source):
 Linear-equations/320747: what is the equation of the line that has the given slope and passes through the given point .must be written in slope intercept form m=5/6,(8,6)1 solutions Answer 229672 by Fombitz(13828)   on 2010-07-08 10:58:57 (Show Source): You can put this solution on YOUR website!Use the slope intercept form, . Use the point (8,6) to solve for . . . . . . .
 Polynomials-and-rational-expressions/320739: How do you solve: 3x^2 + 8x = 0 Thank you!1 solutions Answer 229671 by Fombitz(13828)   on 2010-07-08 10:56:18 (Show Source): You can put this solution on YOUR website! Two solutions: . . .