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 Expressions-with-variables/258665: The sum of a lesser number and twice a greater number equals 8. The sum of twice the lesser number and the greater number equals-6. What are the two numbers?1 solutions Answer 190501 by Fombitz(13828)   on 2010-01-20 11:12:55 (Show Source): You can put this solution on YOUR website!Let A be the smaller number, B the larger. 1. 2. Multiply the first equation by -2 and add to the second, Then from eq. 1,
 Miscellaneous_Word_Problems/258739: For a set of five positive integers, none of them greater than 100, the mean is 1.5 times the mode. If 31, 58, 98, x, and x are the five integers, what is the value of x? 1 solutions Answer 190500 by Fombitz(13828)   on 2010-01-20 11:04:01 (Show Source): You can put this solution on YOUR website!The numbers are 31, 58, 98, x, and x. The mode, M, is x, since it's repeated twice. The mean, A, is Since A=(3/2)M, then
 absolute-value/258767: 1 solutions Answer 190496 by Fombitz(13828)   on 2010-01-20 10:56:20 (Show Source): You can put this solution on YOUR website!Break up the number line into 3 distinct regions using the absolute value arguments. 3x+1=0 x=-1/3 When , When , . . . 3-2x=0 3=2x x=3/2 When , When , . . . Here are the 3 regions. (,) . . . (,) Not in the valid region, no solution. . . . (,) . . . Two solutions: x=-9/5 and x=13/5.
 Travel_Word_Problems/258670: If I left my house heading north going 35 miles an hour how far will I have traveled in 2 hours?1 solutions Answer 190493 by Fombitz(13828)   on 2010-01-20 10:42:23 (Show Source): You can put this solution on YOUR website!Rate*Time = Distance (35 miles/hr)*2 hrs=70 miles
 Surface-area/258742: a can has a height H and a radius R the total surface area is 4 times more than that of another can which is smaller withthe same radius R but height h PROVE that R=H-4h /21 solutions Answer 190492 by Fombitz(13828)   on 2010-01-20 10:37:54 (Show Source): You can put this solution on YOUR website!Surface area for the can is the sum of the circular top and bottom and the rolled out portion of the side, which rolls out to a rectangle. You also know that . . . I don't get the same answer. Are you sure it's a 2 dividing the entire height term on the right hand side??
 Linear_Algebra/258777: 2x-4y=6 2x+y=1 my teacher said to solve this by using substitution but i keep getting the worng answer, help plz :)!1 solutions Answer 190490 by Fombitz(13828)   on 2010-01-20 10:27:50 (Show Source): You can put this solution on YOUR website!1. 2. Since both have a "2x" term solve eq. 1 for 2x and substitute into eq. 2, 1. . . . 2. Then from above, . . . (x,y)=(1,-1)
 Linear_Algebra/258778: 2x-4y=6 2x+y=1 my teacher said to solve this by using substitution but i keep getting the worng answer, help plz :)!1 solutions Answer 190488 by Fombitz(13828)   on 2010-01-20 10:19:57 (Show Source): You can put this solution on YOUR website!1. 2. Since both have a "2x" term solve eq. 1 for 2x and substitute into eq. 2, 1. . . . 2. Then from above, . . . (x,y)=(1,-1)
 Inequalities/258703: Inequalities seemed all pretty simple but when I try to complete the problem it seems complicated. Here is my Problem. 5/6x-1/6 < x-4 write the solution in interval notation. It seems to be more complicated for me when the variable is represented as a fraction.1 solutions Answer 190486 by Fombitz(13828)   on 2010-01-20 10:15:55 (Show Source): You can put this solution on YOUR website! If you don't like the fractions, multiply both sides of the equation by 6. . . . (,)
 Rectangles/258776: What is the perimeter of the rectangle?1 solutions Answer 190484 by Fombitz(13828)   on 2010-01-20 10:10:42 (Show Source): You can put this solution on YOUR website!The perimeter is the distance around the rectangle. where L is the length and W is the width of the rectangle.
 Sequences-and-series/258681: three numbers are in AP and their sum is 21. if 1,5,15 are added to them respectively,they form a GP.The numbers are. please tell me the solution and method of solving this type of questions. the above is question of AP and GP. Please reply me on email-id:- fernsnadia@gmail.com Awaiting for yours earliest reply Nadia Fernandes.1 solutions Answer 190481 by Fombitz(13828)   on 2010-01-20 10:06:05 (Show Source): You can put this solution on YOUR website!Let A be your starting number, d be the difference for the arithmetic progression. Then from the geometric progression information, First: Second: Third: Since they are in geometric progression, each successive pair equals the common ratio. From eq. 1, you know, Substitute, Again using eq. 1, You can factor, Two solutions: . . . . . . I leave it to you to verify the solutions for both.
 Miscellaneous_Word_Problems/258680: Adult movie tickets cost 6 dollars. Child tickets cost 3 dollars. If 700 people go to a movie and the total ticket sales are 3300 dollars how many children and how many adults were there?1 solutions Answer 190476 by Fombitz(13828)   on 2010-01-20 09:50:49 (Show Source): You can put this solution on YOUR website!Let A be the adult tickets, C the children tickets. 1. 2. From eq. 1, Substitute in eq. 2, Then from eq. 1, 400 adult tickets, 300 children tickets.
 Divisibility_and_Prime_Numbers/258679: 42is 21% of what number?1 solutions Answer 190473 by Fombitz(13828)   on 2010-01-20 09:48:32 (Show Source): You can put this solution on YOUR website!Make a ratio. Percent means out of 100. 42 out of 200 is 21%.
 Rational-functions/258725: Answer the following. Please show your work. 1+14+27+...+183 Step 1: Using the formula for the sum of an arithmetic series, find the value of each of the following: a[1]= a[2]= a[n]= and d=a[2]-a[1]= Step 2: Find n, the number of terms in the arithmetic sequence. Use the formula a[n]=a[1]+(n-1)d Step 3: Find the sum of the arithmetic sequence.1 solutions Answer 190470 by Fombitz(13828)   on 2010-01-20 09:47:12 (Show Source): You can put this solution on YOUR website!1+14+27+...+183 . . . . . . So then the sum from 1 to n is Sum=n+Sum(1 to n)*13 The sum from 1 to n= Sum= Since n=15, Sum(1-15)=.
 Pythagorean-theorem/258737: Given a right triangle with sides of length a,b,and c and area, a^2 + b^2 – c^2. Find the ratio, c/b, the ratio of the legs of the right triangle. 1 solutions Answer 190465 by Fombitz(13828)   on 2010-01-20 09:28:39 (Show Source): You can put this solution on YOUR website!From the Pythagorean theorem, 1. From the area of a triangle, where b is the base, h is the height. For a right triangle, b and h are the legs, in this case, b and c. Use eq. 1 and substitute,
 Quadratic_Equations/258752: Graph the function. Find the vertex, line of symnetry, and maximum or minimum value. f(x)= (x+2)^2-3 The vertex is ? The minimum value is f(x) = ? Thank you so much for your help.1 solutions Answer 190462 by Fombitz(13828)   on 2010-01-20 09:18:52 (Show Source): You can put this solution on YOUR website! The equation is in vertex form. Axis of symmetry : Vertex : (,) The min. value occurs at the vertex. . . .
 absolute-value/258769: what are the possible values of |x - 1| / x - 1 ?1 solutions Answer 190461 by Fombitz(13828)   on 2010-01-20 09:15:38 (Show Source): You can put this solution on YOUR website!Can you re-post your question? What are you looking for specifically? when when Here's a graph of the function if that helps.
 Points-lines-and-rays/258770: (1,9);m=-3 write an equation in point-slope form of the line that passes through the given point and had the given slope m.1 solutions Answer 190460 by Fombitz(13828)   on 2010-01-20 09:11:35 (Show Source): You can put this solution on YOUR website!Use the point-slope form of a line with point (xp, yp) and slope m:
 Numbers_Word_Problems/258702: one number is 60 more than another. If the larger number is divided by the smaller number, the quotient is 4. What are the number?1 solutions Answer 190459 by Fombitz(13828)   on 2010-01-20 09:09:46 (Show Source): You can put this solution on YOUR website!Let the numbers be A and B. . . Substitute this into the first equation and solve for B. Then, The two numbers are 20 and 80.
 Percentage-and-ratio-word-problems/258764: In the expression xy^2, the values of x and y are each decreased by 25%. To the nearest whole percent, compare the decreased value to original value. 1 solutions Answer 190458 by Fombitz(13828)   on 2010-01-20 09:04:55 (Show Source): You can put this solution on YOUR website!---> ---> ---> 42% of the original value.
 Angles/258699: complementary angles are in ratio 4:5 what is tha value of the largest angle?1 solutions Answer 190457 by Fombitz(13828)   on 2010-01-20 08:58:53 (Show Source): You can put this solution on YOUR website!Complementary means they sum to 90. One angle is 40 degrees and the other is 50 degrees.
 Systems-of-equations/258715: 2x-y=8 x-6y-z=0 -6x+3y-9z+24 show solution of equation 1 solutions Answer 190454 by Fombitz(13828)   on 2010-01-20 08:22:30 (Show Source): You can put this solution on YOUR website!Use the first equation to solve for y. Now substitute into eq.2 and 3 for y. . . . I assume it should be "=24"? Now go back and substitute to find x and then y. and then
 Quadratic_Equations/258751: Determine the nature of the solutions of the equation. x^2 - 18 = 0 Choose the nature of the solutions of the equation. Thank you so much for your help.1 solutions Answer 190453 by Fombitz(13828)   on 2010-01-20 08:13:29 (Show Source): You can put this solution on YOUR website! Two real distinct roots.
 Number-Line/258727: how can I show a temperature starting at -4degrees to 49 degrees on a numberline1 solutions Answer 190452 by Fombitz(13828)   on 2010-01-20 08:11:14 (Show Source): You can put this solution on YOUR website!Make a number line that runs from -10 degrees to 50 degrees. That gives you enough range and then eyeball the position of both temperatures. You're free to choose whatever range suits you. Here are some examples.
 Linear-equations/258697: Divide: 1 solutions Answer 190450 by Fombitz(13828)   on 2010-01-20 08:03:49 (Show Source): You can put this solution on YOUR website!It's difficult to show polyomial long division but here goes. First factor: Remainder: . . Second factor: Remainder: . . Third factor: Remainder: . . Now add the factors and the remainder all together.
 Expressions-with-variables/258695: I am unsure if I am submitted this question to right area but here goes. Ot os listed as Aplications: Mixture and Unform Motion Problems. A student rode a bycycle to the repair shop then walked home. The student averaged 14mph ridign to the shop and 3.5mph walking home. The route took 1 hour. How far is it from the student's home to the repair shop. I am unsure how to even set up the equation. All I do know is he rides 4x as fast as he walks.1 solutions Answer 190448 by Fombitz(13828)   on 2010-01-20 07:54:18 (Show Source): You can put this solution on YOUR website!Rate*Time=Distance The distance is the same going to and coming from the shop. It takes t1 hrs to get to the shop by bike and it takes t2 hrs to get to the shop on foot. Since they both equal d, they equal each other. 1. 2. Now you have 2 equations with 2 unknowns. Please re-post if you need more help.
 Complex_Numbers/258694: 1/2+2i1 solutions Answer 190446 by Fombitz(13828)   on 2010-01-20 07:51:09 (Show Source): You can put this solution on YOUR website!Multiply numerator and denominator by the complex conjugate (2-2i).
 Quadratic_Equations/258754: Give exact and approximate solutions to three decimal places. x^2-5x+5=0 The exact solutions are x = ? The approximate solutions to 3 decimal places are x=? Thanks so much for your help. Laura1 solutions Answer 190445 by Fombitz(13828)   on 2010-01-20 07:48:41 (Show Source): You can put this solution on YOUR website! Use the quadratic formula, or approximately, and . . .
 Quadratic_Equations/258755: Solve the formula for the given letter. Assume all variables represent non-negative numbers. E=mc^2, for c Thank you so much for your help. Laura1 solutions Answer 190444 by Fombitz(13828)   on 2010-01-20 07:45:15 (Show Source):
 Numbers_Word_Problems/258426: One positive number is 5 times another number. The difference between the two numbers is 68, find the numbers1 solutions Answer 190272 by Fombitz(13828)   on 2010-01-19 15:24:31 (Show Source): You can put this solution on YOUR website!Call the numbers A and B. Substitute for A in the second equation using the first equation. Then,
 Matrices-and-determiminant/258442: Determine c23 if [C] = 2[A] + [B]T I don't know what c23 means. Little help on solving?1 solutions Answer 190271 by Fombitz(13828)   on 2010-01-19 15:22:34 (Show Source): You can put this solution on YOUR website!c23 is the element in position 2nd row, 3rd column of matrix [C]. First solve for [C], then find c23. Re-post if you need more help.
 Length-and-distance/258445: If you were traveling 55 mph, how many feet would you go in 12 seconds?1 solutions Answer 190270 by Fombitz(13828)   on 2010-01-19 15:20:48 (Show Source): You can put this solution on YOUR website!Convert to feet per second. 1 mile=5280 feet 1 hour=3600 seconds. 55 mph (5280 ft/mi)(1 hr/3600 sec)=80.67 ft/sec In 12 seconds, D=80.67 ft/sec(12 sec)=968 ft.