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# Recent problems solved by 'richwmiller'

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 Travel_Word_Problems/288810: A semi truck leaves a dock at 2 pm. It travels a rate of 60 mi/h. A second truck leaves the same dock an hour later and travels the same route at 75 mi/h. How long will it take the second truck to catch up the first truck?1 solutions Answer 209292 by richwmiller(9135)   on 2010-04-05 18:09:37 (Show Source): You can put this solution on YOUR website!you obviously have not looked for similar problems. I already did 2 others today. the first truck has an hour head start. So he goes 60 miles in that hour. the second truck gains on the first truck at 15 mph 60/15=4 so it will take 4 hours to catch up. But they will both get arrested since the national speed limit is still 55. 60*(t+1)=75t 60t+60=75t 60=15t 60/15=t t= 4hours
 Travel_Word_Problems/288779: You are driving from Houston to San Antonio on Interstate 10. You travel half the distance at 50 km/h and the other half at 92 km/h. What is your average speed(km/h)?1 solutions Answer 209285 by richwmiller(9135)   on 2010-04-05 17:54:17 (Show Source): You can put this solution on YOUR website!s=distance to San Antonio 50x=s/2 x=s/100 92y=s/2 y=s/184 d/t=r (total distance)/(total time)=average rate =64.79 kph not (92+50)/2 not 142/2=71 Why? Because he spent more time at 50 kph than at 92 kph
 Geometry_Word_Problems/288793: The width of a rectangle is 1 and its perimeter is 14. Find the measure of a diagnonal of the rectangle.1 solutions Answer 209278 by richwmiller(9135)   on 2010-04-05 17:30:13 (Show Source): You can put this solution on YOUR website!2*(1+l)=14 1+l=7 l=6 6^2+1^1=d^2 37=d^2 d=sqrt(37)
 Quadratic_Equations/288755: The time, t, it takes for an ice cube to melt is inversely proportional to the temperature of the water it is in. If it takes an ice cube 2.5 minutes to melt in 70 degree F water, how long will it take an ice cube of the same size to melt in 50 degree water?1 solutions Answer 209273 by richwmiller(9135)   on 2010-04-05 16:57:19 (Show Source): You can put this solution on YOUR website!y=k/x 2.5=k/70 2.5*70=k 175=k y=175/50=7/2=3.5 minutes
 Rectangles/288756: What is the length and width of a rectangle whose perimeter is 15? We can only use whole numbers.1 solutions Answer 209272 by richwmiller(9135)   on 2010-04-05 16:50:53 (Show Source): You can put this solution on YOUR website!That isn't going to happen with whole numbers. 2*(w+l)=15 w+l=7.5 we have a problem already and we cannot go any further.
 Numbers_Word_Problems/288762: the quotient of thirty-five and a number is less than or equal to four decreased by the square of that number1 solutions Answer 209271 by richwmiller(9135)   on 2010-04-05 16:45:00 (Show Source): You can put this solution on YOUR website!35/x<=4-x^2
 Travel_Word_Problems/288775: Sandy leaves a town traveling in her car at a rate of 45 miles per hour. One hour later, Monica leaves the same town traveling the same route at a rate of 50 miles per hour. How long will it take monica to overtake sandy?1 solutions Answer 209270 by richwmiller(9135)   on 2010-04-05 16:36:37 (Show Source): You can put this solution on YOUR website!In the hour head start Sandy went 45 miles. Monica will be gaining 5 miles an hour 45/5=9 It will take Monica 9 hours without her cell phone to catch up to Sandy. 45*(t+1)=50t 45t+45=50t 45=5t 45/5=t 9=t
 Parallelograms/288770: The perimeter of a parallelogram is 54 centimeters. The ratio of the lengths of the sides is 2:7. What are the lengths of the sides?1 solutions Answer 209268 by richwmiller(9135)   on 2010-04-05 16:31:36 (Show Source): You can put this solution on YOUR website!2+7=9 9 parts 2w+2l=54 2(w+l)=54 w+l=27 27/9=3 2*3=6 7*3=21 6/21=2/7 6 cm and 21 cm are the lengths. check 6+6=12 21+21=42 12+42=54 ok
 Rate-of-work-word-problems/288771: A father and son are digging a garden that is 7 feet long and 5 feet wide. The father, working alone, can dig the garden in 3 hours. The son can do the job in 4 hours. If they both work together, how long would the two need to complete the task? (Round your answer to the nearest tenth.)1 solutions Answer 209265 by richwmiller(9135)   on 2010-04-05 16:26:05 (Show Source): You can put this solution on YOUR website!There is more info than needed. We don't need the measurements of the garden. x/3+x/4=1 4x+3x=12 7x=12 x=12/7 They can complete the job in 12/7 hours 12/7 = 1 5/7=1hour and 43 minutes= 1.7 hours Dad will do 4/7 and son will do 3/7 of the job
 Numeric_Fractions/288769: how do you simplify 4 times 13 plus 12 divided by 31 solutions Answer 209262 by richwmiller(9135)   on 2010-04-05 16:13:21 (Show Source): You can put this solution on YOUR website!Try writing it in math talk. Use +,-,/ and * Wrap the different operations in parentheses. Is it 4 times (13 plus 12)? or (4 times 13) plus 12? and what divided by 3? Everything or just the 12? Wrap the numerator in parentheses
 Rational-functions/288768: how do you do the problem x-2/x+5+1=x-7/x+81 solutions Answer 209260 by richwmiller(9135)   on 2010-04-05 16:10:05 (Show Source): You can put this solution on YOUR website!It is unclear what the numerators and denominators are. Wrap them in parentheses. x-2/x+5+1=x-7/x+8 It could be x-(2/x) it could be (x-2)/x it could be (x-2)/(x+5) and many other options.
 Volume/288767: I am unsure as to how to figure this problem out. Find to the nearest tenth the diameter of a spere with a volume of 64(pi) mm.1 solutions Answer 209259 by richwmiller(9135)   on 2010-04-05 16:07:17 (Show Source): You can put this solution on YOUR website!What is the formula for the volume of a sphere or in this case "spere Remember that diameter=2*radius.
 Rate-of-work-word-problems/288764: Melanie can paint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn that they complete in one day by working together. Evaluate the expression for x=5.1 solutions Answer 209257 by richwmiller(9135)   on 2010-04-05 16:04:52 (Show Source): You can put this solution on YOUR website!y/x+y/2x=1 2y+y=2x 3y=2x y=2x/3 It will take them 2x/3 days together so in one day they will complete 1/2x/3 or 3/(2x) of the job y/5+y/10=1 2y+y=10 3y=10 y=10/3 in one day they will complete 1/10/3=1*3/10=3/10 of the job in one day check 2x/3=10/3 2x=10 x=5 ok
 Linear-equations/288750: what is the slope of a line that is perpendicular to: y=(-1/2x)+4 ?1 solutions Answer 209252 by richwmiller(9135)   on 2010-04-05 15:29:29 (Show Source): You can put this solution on YOUR website!2 check 2*(-1/2)=-1 ok
 Linear-equations/288740: how do you get the x- intercept of y=5/4x-2..........i got a slope of 5/4 and i got an x-intercept of (4/5,0) the x-intercept doesn't sound right to me can you help me??? thanks1 solutions Answer 209250 by richwmiller(9135)   on 2010-04-05 15:27:45 (Show Source): You can put this solution on YOUR website!You are right. It is not (4/5,0) The x intercept is when y=0 0=5x/4-2 2=5x/4 8=5x 8/5=x (8/5,0) Are you sure you want the x intercept and not the y intercept?
 Triangles/288710: Can you help me with this question? I don't think it is possible. However, I do not know how to prove it or explain it. Is it possible to draw a triangle with sides of lengths 1 cm, 7 cm, and 8 cm? Why or why not?1 solutions Answer 209247 by richwmiller(9135)   on 2010-04-05 15:22:10 (Show Source): You can put this solution on YOUR website!Why would it be impossible?
 Numeric_Fractions/288729: I need to find the unknown of 2/3/10=1.8/r I think it is r=27 or no solution, please help.1 solutions Answer 209245 by richwmiller(9135)   on 2010-04-05 15:20:06 (Show Source): You can put this solution on YOUR website!Why would there be no solution/ And why would would it be 27?
 Pythagorean-theorem/288716: I need help on this problem. i know this is classic for some of you but not for me. Please show work so that I can understand. Here it is: One leg of a right triangle is 2 more than twice the smaller leg. If the hypotenuse is 1 inch more than the larger leg, find all 3 sides.1 solutions Answer 209242 by richwmiller(9135)   on 2010-04-05 15:14:05 (Show Source): You can put this solution on YOUR website!I just did this in the last two days.
 Equations/288736: How much of a 10% saline solution should be mixed with a 20% saline solution to obtain 1000 milliters of a 12% saline solution? Use a system of equations and substitution to solve each problem. Thanks1 solutions Answer 209239 by richwmiller(9135)   on 2010-04-05 15:11:26 (Show Source): You can put this solution on YOUR website!.10x+.2y=1000*.12 x+y=1000 x=800 y=200
 Circles/288628: A circle has an area of 900 pi sq cm. What is the diameter? ? cm1 solutions Answer 209197 by richwmiller(9135)   on 2010-04-05 10:03:13 (Show Source): You can put this solution on YOUR website!What is the connection between the radius and the diameter? What is the formula for the area of a circle?
 Travel_Word_Problems/288624: Bob travels on a train at 80 mph with a 30 minute layover halfway through the 156 mile trip at 8:00a.m. or by car traveling 55 mph at 8:00a.m. traveling 156 miles. Which method of transportation train or car allows Bob to arrive sooner at his destination?1 solutions Answer 209196 by richwmiller(9135)   on 2010-04-05 09:54:19 (Show Source): You can put this solution on YOUR website!There really isn't enough info to decide the real answer. Where is the car? Where is the train station? by train 80x=156 x=(156/80)*60+30 147 minutes 2 hr 27 minutes by car 55*t=156 t=156/55) (156/55)*60=170.1=2 hr 50 minutes that is only a matter of 23 minutes How far away is the train station? How would he get there?
 Functions/288617: Which ordered pair makes the relation (2,1), (3,2), (-1,5) not a function? a. (3,2) b. (-2,1) c. (1,4) d. (-1,4)1 solutions Answer 209193 by richwmiller(9135)   on 2010-04-05 09:44:19 (Show Source): You can put this solution on YOUR website!The key to this is the definition of function.
 Linear_Algebra/288619: Given f(3)=12 and f(5)=-2, find f(one seventh). a. 5 and one seventh b. 18 and one seventh c. 32 d. 341 solutions Answer 209192 by richwmiller(9135)   on 2010-04-05 09:34:27 (Show Source): You can put this solution on YOUR website!(5,-2) (3,12) if this is a linear relationship (y-y)/(x-x)=m 12-(-2)/3-5 14/-2=-7 12=-7*3+b 33=b y=7x+33 y=7*(1/7)+33 y=34
 Equations/288620: I don't know how to write an equation for this. Please help due today! How many different license plates are possible if each contains three letters followed by three digits? The letters may repeat although the letters I and O are not used and the digits may repeat? 1 solutions Answer 209190 by richwmiller(9135)   on 2010-04-05 09:24:54 (Show Source): You can put this solution on YOUR website!So why did you wait so long? You had Friday, Saturday and Sunday.
 real-numbers/288613: If remainder of (5m+1)(5m+3)(5m+4)/5 is a natural number then find the remainder.1 solutions Answer 209186 by richwmiller(9135)   on 2010-04-05 08:51:22 (Show Source): You can put this solution on YOUR website!if m=0 then 12/5=2 +2/5 remainder 2 if m=1 6*8*9/5=86 2/5 remainder 2
 Equations/288596: solve x^2 - 2x =24 by factoring.1 solutions Answer 209184 by richwmiller(9135)   on 2010-04-05 08:40:31 (Show Source): You can put this solution on YOUR website!x^2 - 2x =24 x^2-2x-24=0 you want factors of -24 which add up to -2 one will be positive and one negative. what are the factors of -24 -1 24 -24 1 -2 12 -12 2 -3 8 -8 3 -4 6 -6 4 They begin to repeat. which of the above factors add up to -2
 decimal-numbers/288612: turn decimal .13333 into a fraction1 solutions Answer 209183 by richwmiller(9135)   on 2010-04-05 08:34:32 (Show Source): You can put this solution on YOUR website!13333/100000
 Complex_Numbers/288591: Stat the possible number of imaginary zeros of g(x) = x^4 + 3x^3 + 7x^2 - 6x - 131 solutions Answer 209182 by richwmiller(9135)   on 2010-04-05 08:33:19 (Show Source): You can put this solution on YOUR website!one positive real one negative real 2 complex
 Numbers_Word_Problems/288611: sum of three consecutive even numbers is 144; what are the numbers?1 solutions Answer 209179 by richwmiller(9135)   on 2010-04-05 08:30:57 (Show Source): You can put this solution on YOUR website!144=3*4*12 144/3=48 46,48,50
 Complex_Numbers/288599: state the number of positive real zeros, negative real zeros, and imaginary zeros for g(x) = 9x^3 - 7x^2 + 10x - 41 solutions Answer 209178 by richwmiller(9135)   on 2010-04-05 08:29:32 (Show Source): You can put this solution on YOUR website!one positive real and two complex zeroes
 Exponents/288610: I have a question about the remaining factors. If you have an equation of x^3+5x^2=2x-8 how do you find the remaining factors, if you know that one factor of the equation is (x+4)? I tried out some problems, and figured out the remaining factors should be either (x+1),(x-2) or the remaining factors should be: (x-1),(x+2)........or am I wrong completely wrong? And, could you please show me the way on HOW to figure this out? Thank you1 solutions Answer 209176 by richwmiller(9135)   on 2010-04-05 08:27:26 (Show Source): You can put this solution on YOUR website!The equation that you gave us x^3+5x^2=2x-8 does not have (x+4) as a factor. I suspect you copied something wrong. My best guess is that it isn't an equation at all and the = should be + So here it is (x^3+5x^2+2x-8)/(x+4)= x^2+x-2= (x-1)*(x+2)