Tutor:

New! Get regular updates about newly solved problems via algebra.com's RSS system.

---

Recent problems solved by 'richwmiller'

richwmiller answered: 9133 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 4740..4769 , 4770..4799 , 4800..4829 , 4830..4859 , 4860..4889 , 4890..4919 , 4920..4949 , 4950..4979 , 4980..5009 , 5010..5039 , 5040..5069 , 5070..5099 , 5100..5129 , 5130..5159 , 5160..5189 , 5190..5219 , 5220..5249 , 5250..5279 , 5280..5309 , 5310..5339 , 5340..5369 , 5370..5399 , 5400..5429 , 5430..5459 , 5460..5489 , 5490..5519 , 5520..5549 , 5550..5579 , 5580..5609 , 5610..5639 , 5640..5669 , 5670..5699 , 5700..5729 , 5730..5759 , 5760..5789 , 5790..5819 , 5820..5849 , 5850..5879 , 5880..5909 , 5910..5939 , 5940..5969 , 5970..5999 , 6000..6029 , 6030..6059 , 6060..6089 , 6090..6119 , 6120..6149 , 6150..6179 , 6180..6209 , 6210..6239 , 6240..6269 , 6270..6299 , 6300..6329 , 6330..6359 , 6360..6389 , 6390..6419 , 6420..6449 , 6450..6479 , 6480..6509 , 6510..6539 , 6540..6569 , 6570..6599 , 6600..6629 , 6630..6659 , 6660..6689 , 6690..6719 , 6720..6749 , 6750..6779 , 6780..6809 , 6810..6839 , 6840..6869 , 6870..6899 , 6900..6929 , 6930..6959 , 6960..6989 , 6990..7019 , 7020..7049 , 7050..7079 , 7080..7109 , 7110..7139 , 7140..7169 , 7170..7199 , 7200..7229 , 7230..7259 , 7260..7289 , 7290..7319 , 7320..7349 , 7350..7379 , 7380..7409 , 7410..7439 , 7440..7469 , 7470..7499 , 7500..7529 , 7530..7559 , 7560..7589 , 7590..7619 , 7620..7649 , 7650..7679 , 7680..7709 , 7710..7739 , 7740..7769 , 7770..7799 , 7800..7829 , 7830..7859 , 7860..7889 , 7890..7919 , 7920..7949 , 7950..7979 , 7980..8009 , 8010..8039 , 8040..8069 , 8070..8099 , 8100..8129 , 8130..8159 , 8160..8189 , 8190..8219 , 8220..8249 , 8250..8279 , 8280..8309 , 8310..8339 , 8340..8369 , 8370..8399 , 8400..8429 , 8430..8459 , 8460..8489 , 8490..8519 , 8520..8549 , 8550..8579 , 8580..8609 , 8610..8639 , 8640..8669 , 8670..8699 , 8700..8729 , 8730..8759 , 8760..8789 , 8790..8819 , 8820..8849 , 8850..8879 , 8880..8909 , 8910..8939 , 8940..8969 , 8970..8999 , 9000..9029 , 9030..9059 , 9060..9089 , 9090..9119 , 9120..9149, >>Next

Triangles/553469: If you have the base of a isosceles right triangle as 12 feet, what are the other two leg lengths? 1 solutions Answer 360853 by richwmiller(9144)   on 2012-01-06 09:13:13 (Show Source): You can put this solution on YOUR website! The base is a leg. There are only two legs total. Something is wrong with your problem.

Travel_Word_Problems/553463: a passenger plane flew to istanbul and back. on the trip there it flew 280 km/h and on the return trip it went 168 km/h. how long did the trip there take if the return trip took ten hours? 1 solutions Answer 360850 by richwmiller(9144)   on 2012-01-06 08:56:30 (Show Source): You can put this solution on YOUR website! r*t=d 168*10=d 1680=d r*t=d 280*t=1680 t=1680/280 t=6 hrs to get there

test/551139: The tens digit of a certain two digit number is two more than the units digit. The original number is 18 more than the number formed by interchanging the digits. What is the original number? Please help me solve this!!!! 1 solutions Answer 359459 by richwmiller(9144)   on 2011-12-30 17:34:48 (Show Source): You can put this solution on YOUR website! x=2+y 10x+y=18+10y+x which reduces to y=x-2 which is equivalent to x=2+y so any x (tens digit) that is 2 more than y (units digit) will work 97=79+18 86=68+18 75=57+18 64=46+18 53=35+18 42=24+18 31=13+18

Numbers_Word_Problems/550831: the number has four digits, the thousands digit is twice the hundreds digit,the ones digit is divisible by five, the sum of the digits is 13. what is the number? what i have tried is 4225. 4 is twice the hundreds digit which would be 2 and five is divisible by 5. when u add 4+2+2+5= 13... can you please help me to see if my answer is correct. thank you 1 solutions Answer 359132 by richwmiller(9144)   on 2011-12-29 11:02:04 (Show Source): You can put this solution on YOUR website! you just did .

Evaluation_Word_Problems/550838: Tony had an equal number of cranberry bars and walnut bars. He gave away 66 cranberry bars. He then had 4 times as many walnut bars as cranberry bars left. How many bars did he have at first? 1 solutions Answer 359131 by richwmiller(9144)   on 2011-12-29 10:56:25 (Show Source): You can put this solution on YOUR website! c=w 4*(c-66)=c 4c-66*4=c 3c=66*4 c=22*4 c=88 w=88

Numbers_Word_Problems/550833: Four times the larger number is 29 more than 3 times the smaller. Find two consecutive odd integers. 1 solutions Answer 359130 by richwmiller(9144)   on 2011-12-29 10:46:20 (Show Source): You can put this solution on YOUR website! x and x+2 4*(x+2)=3x+29 4x+8=3x+29 x=21 x+2=23 check 4*23=3*21+29 92=63+29 92=92 ok

Miscellaneous_Word_Problems/550721: Please help me with this question: A singer has twice as many pants as pairs of shoes in her wardrobe and three halves as many t-shirts as pants. What is the least number of clothing items she must have in her wardrobe in order to make a different shoes, pants, and t-shirt combination each day of the year? 1 solutions Answer 359022 by richwmiller(9144)   on 2011-12-28 18:01:28 (Show Source): You can put this solution on YOUR website! p=2s p=3t/2 p*s*t>=365 p>= 8 s=p/2 t=1.5p if p=8 then s=4 and t=12

Rectangles/550695: A rectangles's length is 5ft more than its width. If the width is not changed and the length is increased by 3 ft, the new area will be 128ft^2. What are the dimensions of the new rectangle? I am not sure if its this (x+5)(x+3)=128ft^2 1 solutions Answer 359016 by richwmiller(9144)   on 2011-12-28 17:45:32 (Show Source): You can put this solution on YOUR website! x*(x+5+3)=128 x^2+8x-128=0 (x-8) (x+16) = 0 x=8 x+5=13 x+5+3=16

Mixture_Word_Problems/550479: A supermarket is selling 2 types of candies, orange slices and strawberry leaves. The orange slices cost $1.29 per pound and the strawberry leaves cost $1.79 per pound. How many pounds of each should be mixed to get a 11-pound mixture that sells for $16.69? Find the number of pounds of the orange slices that are required ___pounds (Type an integer or a decimal.) 1 solutions Answer 358774 by richwmiller(9144)   on 2011-12-27 15:58:38 (Show Source): You can put this solution on YOUR website! o+s=11 1.29o+1.79s=16.69 o=6 s=5

Pythagorean-theorem/550443: A 20 meter ladder and a 15 meter ladder were leaned against a building. The bottom of the longer ladder was 7 meters farther from the building than the bottom of the shorter ladder, but both ladders reached the same distance up the building. Find the distance the ladders reached up the building. 1 solutions Answer 358771 by richwmiller(9144)   on 2011-12-27 15:45:05 (Show Source): You can put this solution on YOUR website! 20^2=(x+7)^2+y^2 15^2=x^2+y^2

Polynomials-and-rational-expressions/549614: 3x(x-5) + (x-5) I know the answer is (x-5)(3x+1) and that I need to factor and the gcf is a binomial but for the life of me I can not remember how this is done. Please show a step by step process. 1 solutions Answer 357918 by richwmiller(9144)   on 2011-12-21 16:56:59 (Show Source): You can put this solution on YOUR website! think of it as y*z+1*z (y+1)*(z) where 3x=y and (x-5)=z

Linear-systems/549632: (18,2), 3y=x-12 1 solutions Answer 357916 by richwmiller(9144)   on 2011-12-21 16:53:40 (Show Source): You can put this solution on YOUR website! Those are nice numbers and letters. Is there a question? Or should I guess. OK I'll guess You are almost 18 with a gpa of 2. 3 guys have 12 dollars less than one girl . Who should ask her out?

Geometry_Word_Problems/549622: freddy the cat is stuck in a tree, his owner has a ladder that that is 20 feet long. If the owner places the ladder 3 feet away from the tree, how high up is freddy? 1 solutions Answer 357914 by richwmiller(9144)   on 2011-12-21 16:38:41 (Show Source): You can put this solution on YOUR website! not enough info. We don't know if the ladder is too short, just reaches or is too long. Assuming that it just reaches,20 is the hypotenuse and 3 is one side. 3^2+a^2=20^2 9+a^2=400 a^2=391 a=sqrt(391) a=19.77

Volume/549629: If they give you the length of a cube, how do you find the volume? 1 solutions Answer 357912 by richwmiller(9144)   on 2011-12-21 16:34:30 (Show Source): You can put this solution on YOUR website! cube the length

Graphs/549235: find an equation of a line in standard form that has x intercept 6 and y intercept 4 1 solutions Answer 357548 by richwmiller(9144)   on 2011-12-19 22:40:07 (Show Source): You can put this solution on YOUR website! x intercept means y=0 and here x=6 point (6,0) y intercept means x=0 and here y=4 point (0,4) find the equation of a line with these two points. I hope you see that mananth's answer is wrong. y=mx+b m=-2/3 is correct but we already know that y=4 is the y intercept not -4 so y=-2x/3+4 not -4

Linear_Algebra/547779: 4x+3y= y=2x-7 1 solutions Answer 356565 by richwmiller(9144)   on 2011-12-15 10:57:59 (Show Source): You can put this solution on YOUR website! You asked this 5 minutes later too.

Human-and-algebraic-language/547777: one slice of white bread has 9 fewer milligrams of sodium than one slice of wheat bread. How many milligrams of sodium are in a slice of each type of bread if the combined total number in a slice of each is 267 milligrams 1 solutions Answer 356563 by richwmiller(9144)   on 2011-12-15 10:51:08 (Show Source): You can put this solution on YOUR website! This is a common mistake. White bread is also wheat bread. Perhaps you meant to say whole wheat bread.

Rectangles/547712: how many rectangles can you make with a perimeter of 12 sq cm? and the area of each 1 solutions Answer 356561 by richwmiller(9144)   on 2011-12-15 10:48:18 (Show Source): You can put this solution on YOUR website! There are no rectangles with a perimeter of 12 sq cm because perimeters are not measured in square units. If the perimeter were 12 cm, the answer would be an infinite number of rectangles can have a perimeter of 12 cm. and the area would be Area=L*W while 2L+2W=12.

Inequalities/547564: When you graph a inequality, do you always shade above for when the symbol is >? 1 solutions Answer 356432 by richwmiller(9144)   on 2011-12-14 21:24:24 (Show Source): You can put this solution on YOUR website! above and to the right

Rate-of-work-word-problems/547151: "A HOSE can fill a swimming pool in 6 hours. Another HOSE needs three more hours than the two HOSES combined. How long would it take for the second PIPE to fill the tank? 1 solutions Answer 356264 by richwmiller(9144)   on 2011-12-14 09:45:09 (Show Source): You can put this solution on YOUR website! It is a hose or pipe? Make up your mind! x/6+x/y=1 y=3+x x=3 y=6 three hours together and each of them take 6 hours alone

Quadratic_Equations/544108: Use the quadratic formula to solve the equation. 5x^2 + 12x + 3 = 0 here is what I have tried 5x^2+12x=-3 12/2 = 6^2 = 36 5x^2+12x+36=-3+36 5x^2+12x+36=33 factor 5(x+6)(x+6)=33 5(x+6)^2=33 5x+180=33 5x=-147 5x/5=-147/5 I am lost from here 1 solutions Answer 355028 by richwmiller(9144)   on 2011-12-08 14:56:37 (Show Source): You can put this solution on YOUR website! You were ok in completing the square until 5(x+6)^2=33 You are supposed to use the quadratic formula. Do you know what that is? (-b+-sqrt(b^2-4ac))/2a

Miscellaneous_Word_Problems/544092: The area of a rectangular patio is given by the equation where x is measured in feet. Find the maximum area of the patio. Please help me with this! I've been struggling with it for the past half hour 1 solutions Answer 355025 by richwmiller(9144)   on 2011-12-08 14:47:38 (Show Source): You can put this solution on YOUR website! y=-x^2+10x+200 max at x=5 y=225 get the vertex

Mixture_Word_Problems/543533: susan wants to mix 10 pounds of virginia peanuts that costs $3.50 a pound with spanish peanuts that cost $3.00 a pound to obtain a mixture that costs $3.40 a pound. how many pounds of spanish peanuts should she use? 1 solutions Answer 354844 by richwmiller(9144)   on 2011-12-07 17:28:19 (Show Source): You can put this solution on YOUR website! 3.5*10+3p=3.4*(10+p) p=2.5

Miscellaneous_Word_Problems/543536: If the cost of 4 pears and 2 peaches equals $1.00. and the cost of 2 pears and 3 peaches equals.70, how much does each peach and each pear cost? 1 solutions Answer 354842 by richwmiller(9144)   on 2011-12-07 17:17:59 (Show Source): You can put this solution on YOUR website! 4r+2h=100 2r+2h=70 subtract 2r=30 r=15 2*15+2h=70 2h=40 h=20 peaches 20 pears 15

Equations/543530: x = 3y^4 - 3 What is this equation? Linear? Quartic? 1 solutions Answer 354841 by richwmiller(9144)   on 2011-12-07 17:14:59 (Show Source): You can put this solution on YOUR website! Perhaps you mean linear of quadratic. It can't be linear since there is a power greater than one. low point at x=-3 y=0

Matrices-and-determiminant/543516: Hi, I need help solving a system of equations by using Matrices, and using the Gaussian Elimination. We have to do the matrix by hand and show all row operations. Here are the equations: 5x+4y-2z=(-8) 2x+6y-z=9 4x-4y+z=(-15) 1 solutions Answer 354840 by richwmiller(9144)   on 2011-12-07 17:10:32 (Show Source): You can put this solution on YOUR website! x = -2, y = 3, z = 5

Travel_Word_Problems/543511: john can bake a cake in 10 minutes and ray can bake a cake and 7 minutes. how fast can they bake a cake together? 1 solutions Answer 354838 by richwmiller(9144)   on 2011-12-07 17:01:51 (Show Source): You can put this solution on YOUR website! The cake needs more time to bake than 7 or 10 minutes. x/7+x/10=1 10x+7x=70 17x=70 x=70/17 x=4.11764706

Polynomials-and-rational-expressions/543284: 25m^2 - 30m + 9 1 solutions Answer 354803 by richwmiller(9144)   on 2011-12-07 10:49:46 (Show Source): You can put this solution on YOUR website! (3-5m)^2

Mixture_Word_Problems/543301: How much water should be added to 38 ounces of a 25% solution of alcohol to dilute it to a 19% alcohol solution? 1 solutions Answer 354800 by richwmiller(9144)   on 2011-12-07 10:45:09 (Show Source): You can put this solution on YOUR website! .25*38=.19*(x+38) 9.5 = 0.19x+7.22 2.28=0.19x x=12 add 12 ounces of water

Evaluation_Word_Problems/543300: An employee's new salary is $27,195 after getting a 5% raise. What was the salary before the increase in pay? 1 solutions Answer 354796 by richwmiller(9144)   on 2011-12-07 10:39:56 (Show Source): You can put this solution on YOUR website! 1.05x=27195

test/543279: My son needs help 1 solutions Answer 354795 by richwmiller(9144)   on 2011-12-07 10:37:04 (Show Source): You can put this solution on YOUR website! Don't we all?