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# Recent problems solved by 'richwmiller'

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 Linear-systems/634159: An employee at See's Candy Store needs a special mixture of candy. She has creme-filled chocolates that sell for \$3.00 per pound, chocolate-covered nuts that sell for \$2.70 per pound, and chocolate-covered raisins that sell for \$2.25 per pound. She wants to have twice as many raisins as nuts in the mixture. Find how many pounds of each she should use to make 45 pounds worth \$2.80 per pound. -------------------------------------------------- Here's how I set up the problem: a + b + c = 45 3a + 2.7b + 2.25c = 2.8(45) Eventually, I ended up with no solution, which I am pretty certain isn't the correct answer. My textbook does not have any example problems of this nature, so I don't really have any idea as to how to go about solving them; any help would be greatly appreciated.1 solutions Answer 399662 by richwmiller(9144)   on 2012-08-03 21:31:35 (Show Source): You can put this solution on YOUR website!you have three unknowns you need at least three equations c for creme n for nuts r for raisins c+n+r=45 3c + 2.7n + 2.25r= 2.8(45) Now you need a third equation. r=2n c=30., n=5., r=10.
 Linear-systems/634494: When i try the solvers and choose elimination it automatically goes to substitution, i need both in order to complete the problem...i Dont know how so i cant complete the rest of the page! 3x - 5y = 7 2x + 5y = 13 Thank You!1 solutions Answer 399655 by richwmiller(9144)   on 2012-08-03 20:47:38 (Show Source): You can put this solution on YOUR website!You add the two equations which gives 5x=20 x=4 now you do substitute 4 for x and solve for y 12-5y=7 subtract 12 -5y=-5 divide by -1 y=1
 Inequalities/634483: solve the linear inequality x/7 + 3x/14+ is less than or equal to 4/7 what is the solution set (type an inequality use integers or fractions for any numbers in the expression 1 solutions Answer 399650 by richwmiller(9144)   on 2012-08-03 20:40:09 (Show Source): You can put this solution on YOUR website!Something is wrong with your inequality. You seem to have an extra + x/7 + 3x/14+ is less than or equal to 4/7 other it is x<=8/5
 Radicals/634489: how do I solve Real World Radical Formulas 4*(23245)^-1/31 solutions Answer 399647 by richwmiller(9144)   on 2012-08-03 20:31:41 (Show Source): You can put this solution on YOUR website!x^1/2 would be the square root of x x^1/3 is the cube root of x x^-1/3 is the cube root of 1/x 0.1401576502194106743722267554376030953488507197341894
 Miscellaneous_Word_Problems/634416: Devon, Frank, Fua, Morris, and Pedro belong to the same gym. The gym rules prohibit the staff from giving out personal information about their clients. However, each of the five men said just enough that you can figure out their exact weights. Devon: Pedro weighs 18 pounds more than I do. None of us weighs over 200 pounds. Frank: My weight is divisible by 7. Morris weighs 12 pounds more than I do. Fua: Three people are heavier than I am. Pedro's weight is a prime number. Morris: I'm heavier than Pedro. Devon is the lightest. Pedro: Morris's weight is divisible by 10. The five of us together weigh a total of exactly 840 pounds. This is a problem from the textbook "Crossing the River with Dogs" but I'm having a difficult time answering using a problem solving strategy. Thanks!1 solutions Answer 399601 by richwmiller(9144)   on 2012-08-03 17:36:34 (Show Source): You can put this solution on YOUR website!Devon - 155 Fua - 164 Frank - 168 7*24=168 Pedro - 173 155+18 (18 more than Devon, and a prime number) Morris - 180 168+12 180/10=18 (12 more than Frank, and divisible by 10) Total of 840, all rules met.
 Surface-area/634428: What is the area of this polygon? Also how do you find it. http://media.apexlearning.com/Images/200703/05/9baa7e70-ed05-48dc-a006-9da983e3a85d.gif1 solutions Answer 399597 by richwmiller(9144)   on 2012-08-03 17:20:49 (Show Source): You can put this solution on YOUR website!Break it up into three rectangles. the big one :14*27 middle one 14*9 the smallest one 3*7 multiply those and add them together
 Miscellaneous_Word_Problems/634402: Ozark Furniture Company can obtain at most 3000 board feet of maple lumber for making its classic and modern maple rocking chairs. A classic maple rocker requires 15 board feet of maple, and a modern rocker requires 12 board feet of maple. Write an inequality that limits the possible number of maple rockers of each type that can be made, and graph the inequality in the first quadrant. A chain furniture store faxes an order for 175 modern rocking chairs and 125 classic rocking chairs. Will Ozark Furniture be able to fill this order with the current lumber on hand? If yes, how much lumber will they have left? If no, how much more lumber would they need to fill the order? 1 solutions Answer 399560 by richwmiller(9144)   on 2012-08-03 12:48:12 (Show Source): You can put this solution on YOUR website!175*12+125*15<=3000 no 975 shortage
 Complex_Numbers/634396: 2x^2 + 3x + 1 + x^2 +1/ 2x-1 = I'm getting a slightly different answer, Please help if you can. 1 solutions Answer 399559 by richwmiller(9144)   on 2012-08-03 12:41:18 (Show Source): You can put this solution on YOUR website!You have a slightly different answer??? different from what?
 Sequences-and-series/634286: Find the sum of the series: 2 + 5 + 8 + 11 + ... + 59 1 solutions Answer 399487 by richwmiller(9144)   on 2012-08-02 22:28:19 (Show Source): You can put this solution on YOUR website!sum_(n=1)^20(3 n-1) = 610
 Quadratic_Equations/634273: please help me solve this equation {{[ (3/x-6)-(x/x-8)+(x^2+24/x^2-14x+48)1 solutions Answer 399486 by richwmiller(9144)   on 2012-08-02 22:19:53 (Show Source): You can put this solution on YOUR website!There is no equation. Do you see an equal sign? Equations have equal signs.
 Linear_Equations_And_Systems_Word_Problems/634296: 36% of women consider themselves fans of professional baseball.1 solutions Answer 399482 by richwmiller(9144)   on 2012-08-02 22:06:34 (Show Source): You can put this solution on YOUR website!You exaggerated the size of this problem.
 Polynomials-and-rational-expressions/634302: I need sum serious help with solving these problems and I need to show the wrok for each one. Can someone please help me? Thanks in advance. Factor completely. 16r^4-121 1 solutions Answer 399480 by richwmiller(9144)   on 2012-08-02 21:57:40 (Show Source): You can put this solution on YOUR website!Too many questions in one submission. 16r^4-121 (4r^2-11)*(4r^2+11) (2r-sqrt(11))*(2r+sqrt(11))*(4 r^2+11)
 Travel_Word_Problems/634236: Two airplanes depart from the same place at 2 pm. One plane flies north at a speed of 478 km/hr, and the other flies east at a speed of 374 km/hr. How far apart are the airplanes at 4:00 pm?1 solutions Answer 399449 by richwmiller(9144)   on 2012-08-02 18:39:06 (Show Source): You can put this solution on YOUR website!(2*478)^2+(2*374)^2=c^2 c=1213.85 km
 Equations/634243: what is the formula for the length of the sides of a square1 solutions Answer 399448 by richwmiller(9144)   on 2012-08-02 18:29:28 (Show Source): You can put this solution on YOUR website!The two big ones are perimeter and area perimeter=4s area= s^2
 Equations/634246: p=8x-16 p=8.8-16 p=64-16 p=48 a square has the same perimeter as the rectangle and triangle I calculated in the problem above. What would be the lenght of the sides of the square? use the formula for calculating the perimeter of a square1 solutions Answer 399445 by richwmiller(9144)   on 2012-08-02 18:18:56 (Show Source): You can put this solution on YOUR website!48/4=12
 Unit_Conversion_Word_Problems/634244: a resturant buys cans of corn in bulk. If 3 cans of corn sell for \$8.00, how much will one gross cost the resturant?1 solutions Answer 399443 by richwmiller(9144)   on 2012-08-02 18:14:24 (Show Source): You can put this solution on YOUR website!144=12*3*4 12*4-48 48*8=384
 Travel_Word_Problems/634237: A 20 - ft ladder is leaning against a wall. The top of the ladder is 15 - ft above the ground. How far is the bottom of the ladder from the wall?1 solutions Answer 399442 by richwmiller(9144)   on 2012-08-02 18:11:34 (Show Source): You can put this solution on YOUR website!20^2=15^2+a^2 a=5sqrt(7)=13.23 ft
 Equations/634200: factor and solve x^2-x-72=01 solutions Answer 399425 by richwmiller(9144)   on 2012-08-02 16:20:17 (Show Source): You can put this solution on YOUR website!find factors of -72 which add up to -1 -9 and 8 (x-9)*(x+8)=0 x=9 x=-8
 Probability-and-statistics/634196: At General Hospital, nurses are given performance evaluations to determine eligibility for merit pay raises. The supervisor rates the nurses on a scale of 1 to 10 (10 being the highest rating) for several activities: promptness, record keeping, appearance, and bedside manner with patients. Then an average is determined by giving a weight of 3 for promptness, 1 for record keeping, 2 for appearance, and 4 for bedside manner with patients. What is the average rating for a nurse with ratings of 8 for promptness, 7 for record keeping, 7 for appearance, and 10 for bedside manner? (Round your answer to one decimal place.) 1 solutions Answer 399416 by richwmiller(9144)   on 2012-08-02 16:07:23 (Show Source): You can put this solution on YOUR website!already asked
 Travel_Word_Problems/634188: Nancy and Mark commute to work, traveling in opposite directions. Nancy leaves the house 8:00am and averages 35 miles per hour. Mark leaves at 8:15am and averages 40 miles per hour. At what time will they be 140 miles apart?1 solutions Answer 399415 by richwmiller(9144)   on 2012-08-02 16:05:54 (Show Source): You can put this solution on YOUR website!35*(x+1/4)+40x=140 x=7/4 or 1 3/4 hours from 8:15. So at 10:00 am they will be 140 miles apart.
 Triangles/634189: the area of the triangle is 10cm^2,and the base is x+2, and the height is x+1, solve for x1 solutions Answer 399412 by richwmiller(9144)   on 2012-08-02 15:58:36 (Show Source): You can put this solution on YOUR website!1/2*(x+2)*(x+1)=10 (x+2)*(x+1)=20 x^2+3x+2=20 x^2+3x-18=0 (x+6)*(x-3)=0 x=-6 x=3 Dismiss negative answers because we are dealing with real measurements. x=3
 �t�e�s�t/634179: I have tried to firgure this out but i dont know where to start Solve for x (x+2)/(x+6) = (x-1)/(x+2)1 solutions Answer 399411 by richwmiller(9144)   on 2012-08-02 15:48:42 (Show Source): You can put this solution on YOUR website!cross multiply. (x+2)^2=(x-1)*(x+6) x^2+4x+4=x^2+5x-6 combine 10=x
 Mixture_Word_Problems/634177: I need an equation for finding the unknown mass to add a substance to a solution, when you have a target concentration. Ex: I have a solution that weighs 12.0 grams on a balance and I need to know how much mass of a substance to add that nets me 24% by weight of that additional substance in the final solution. (assume sg is =1.0). I am not looking for specifics in molarity or molality.1 solutions Answer 399400 by richwmiller(9144)   on 2012-08-02 15:08:53 (Show Source): You can put this solution on YOUR website!If you want the other substance to be 24% then .76x=12 76x=1200 x=300/19 If you want the 12 grams to be 24% then .24x=12 24x=1200 x=50
 Functions/634148: Determine whether the system is consistent, inconsistent, or dependent. 3x - 3y = -9 9x - 9y = -27 1 solutions Answer 399389 by richwmiller(9144)   on 2012-08-02 13:01:30 (Show Source): You can put this solution on YOUR website!There are no solutions so they are inconsistent.
 Graphs/634146: Factor each polynomial completely 4-r^2 a^3-2a^2+5a-10 Please help ASAP thanks so much for your time! 1 solutions Answer 399387 by richwmiller(9144)   on 2012-08-02 12:51:09 (Show Source): You can put this solution on YOUR website!Everyone is in a hurry and everyone wants their problems worked on ASAP. I might have answered your questions but you violated the rules of the website. One problem at a time please. I will give you a hint about the first problem. It is of the form a^2-b^2 which factors into (a+b)*(a-b)
 Percentage-and-ratio-word-problems/634145: Alice has solved 35 problems of the 60 problems assigned . What fraction (in lowest terms) of the problems has been completed ?1 solutions Answer 399385 by richwmiller(9144)   on 2012-08-02 12:45:12 (Show Source): You can put this solution on YOUR website!35/60=7/12
 Polynomials-and-rational-expressions/634138: The question I was given was to perform the indicated operation for the rational expression: (3/P)+(1/2) However, isn't this impossible since you cannot combine like terms? Or would the solution be (4/P+2)?1 solutions Answer 399384 by richwmiller(9144)   on 2012-08-02 12:41:52 (Show Source): You can put this solution on YOUR website!Since it is not an equation, you can't solve for p. All you can do is combine the terms. The instructions are vague. Multiply the first term by 2/2 and the second term by p/p to get a common denominator. 6/2p+p/2p (6+p)/2p
 test/634079: y=(3x^3 -5x^2 +2)^61 solutions Answer 399360 by richwmiller(9144)   on 2012-08-02 09:44:41 (Show Source): You can put this solution on YOUR website!y = (x-1)^6 (3 x^2-2 x-2)^6 y = 729 x^18-7290 x^17+30375 x^16-64584 x^15+60075 x^14+24750 x^13-114515 x^12+80100 x^11+43500 x^10-85680 x^9+15900 x^8+36000 x^7-17840 x^6-7200 x^5+6000 x^4+576 x^3-960 x^2+64
 Polynomials-and-rational-expressions/634073: solve for k in k/k+1=3/k^2-k-2 a. k=3 b/ k=-1 and k=2 c. k=-1 and k=3 d. k=-1 can you please show me how to do this, ty1 solutions Answer 399358 by richwmiller(9144)   on 2012-08-02 09:35:11 (Show Source): You can put this solution on YOUR website!I will assume that you mean k/(k+1)=3/(k^2-k-2) k=3 only because k = -1 would make the denominator zero.
 Exponents/634018: 10x = 1,000,000 x = 1 solutions Answer 399331 by richwmiller(9144)   on 2012-08-02 04:11:09 (Show Source): You can put this solution on YOUR website!count the zeros 10^6=1000000
 Travel_Word_Problems/634025: A farmer drove to the market on friday at an average speed of 60 miles per hour. he returned home on sunday along the same route and averaged 40 miles per hour. if the framer spent a total of two hours driving to and from the market, how many miles did the farmer drive to the market on friday?1 solutions Answer 399330 by richwmiller(9144)   on 2012-08-02 04:09:01 (Show Source): You can put this solution on YOUR website!x+y=2; 40x=60y x=6/5 y=4/5 check 40*6/5=60*4/5 ok