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# Recent problems solved by 'scott8148'

scott8148 answered: 6619 problems
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 test/97512: i have to find an equation of a line that goes through the point (2,1) and has a slope of 4. i have to leave it in slope intercept form.1 solutions Answer 71024 by scott8148(6628)   on 2007-09-11 21:33:10 (Show Source): You can put this solution on YOUR website!start by writing the equation in point-slope form ... (y-1)=4(x-2) ... then convert to slope-intercept y-1=4x-8 ... y=4x-7
 Linear_Equations_And_Systems_Word_Problems/97336: I really don't know how to solve this problem: Didi invested a total of \$12000 in two accounts paying 7.5%(percentage) and 6% simple interest. if her total return at the end of the first year was \$840 how much did she invest in each account. i would really apreciate if you can solve and show me how1 solutions Answer 70869 by scott8148(6628)   on 2007-09-10 23:05:02 (Show Source): You can put this solution on YOUR website!x(7.5%)+(12000-x)(6%)=840 ... .075x+720-.06x=840 ... .015x=120 ... x=8000 8000 @ 7.5% ... 4000 @ 6%
 Travel_Word_Problems/97318: Madison left Seattle at 4:48 p.m. and traveled at a rate of 36 kph less than 4 times the speed of Luis, who left at the same time but in the opposite direction. By the time it was 6:07 p. m., they were 164 kilometers apart. What were their speeds? Please help it is driving me crazy!1 solutions Answer 70867 by scott8148(6628)   on 2007-09-10 22:58:15 (Show Source): You can put this solution on YOUR website!let x=(Luis' speed) so (4x-36)=(Madison's speed) ... the time is 1 hr 19 min, this is 79/60 hr their rate of separation is the sum of their speeds x+4x-36=164/(79/60) ... 5x-36=(164*60)/79 ... 395x-(79*36)=164*60 ... 395x=12684 ... x=32.1 approx.
 Travel_Word_Problems/97046: Someone please help me with this word problem. I am not sure what I am supposed to do to solve it. During rush hour, Fernando can drive 40 miles using the side roads in the same time that it takes to travel 30 miles on the freeway. If Fernando's rate on the side roads is 7 mi/h faster than his rate on the freeway, find his rate on the side roads.1 solutions Answer 70716 by scott8148(6628)   on 2007-09-09 21:25:38 (Show Source): You can put this solution on YOUR website!let s=(side road rate), so (30/40)s or (3/4)s is the freeway rate s=(3/4)s+7 ... (1/4)s=7 ... s=28
 Functions/96931: Please help with the following: State a function for the following: x= 1,2,3,4 y=20,16,12,8 1 solutions Answer 70556 by scott8148(6628)   on 2007-09-08 22:29:26 (Show Source): You can put this solution on YOUR website!a constant change in x (+1) gives a constant change in y (-4) so y=-4x plus some "adjustment" factor ... 20=-4(1)+? ... 20=-4+? ... 24=? y=-4x+24
 Expressions-with-variables/96703: This question is from textbook College Algebra I need help setting up this word problem...I have tried several approaches and none of them seem to work..the problem states: A cosmetics company sells 12,800 bottles of lotion a month at a selling price of \$6.50. A marketing survey indicates that for each \$0.25 decrease in selling price, the monthly sales will increase by 900. Determine an equation relating the selling price, p and the number x of bottles sold. How do I do this? 1 solutions Answer 70554 by scott8148(6628)   on 2007-09-08 22:20:27 (Show Source): You can put this solution on YOUR website!the number of bottles sold is 12,800 plus an additional 900 for each .25 decrease from the 6.50 price x=12,800+(((6.50-p)/.25)900)
 Travel_Word_Problems/96888: A car completed a 1000 mile race in 35 hours. For the 600 miles traveled driving daylight, the car averaged 20 mph more than it did for the 400 miles traveled at night. What was the average speed of the car during the daytime? Not from a text book, was a handed out assignment1 solutions Answer 70549 by scott8148(6628)   on 2007-09-08 22:01:53 (Show Source): You can put this solution on YOUR website!(600/x)+(400/(x-20))=35 ... multiply by x(x-20) ... 600(x-20)+400(x)=35x(x-20) 600x-12000+400x=35x^2-700x ... 35x^2-1700x+12000=0 ... 7x^2-340x+2400=0 factoring gives (7x-60)(x-40) ... so x=40 and x=60/7 60/7 results in a negative night speed, which is not realistic
 Money_Word_Problems/96891: Part of \$5000 is invested at 4% and the rest at 5%. The annual interest on the 5% was \$124.00 more than the interest on the 4% investment. How much was invested at each rate? Not from a text book, this was a handed out assignment.1 solutions Answer 70542 by scott8148(6628)   on 2007-09-08 21:41:39 (Show Source): You can put this solution on YOUR website!x(4%)+(5000-x)(5%)=x(4%)+(x(4%)+124) .04x+250-.05x=.08x+124 ... 126=.09x ... 1400=x ... 3600=5000-x
 Money_Word_Problems/96892: A broker has invested part of \$25000.00 at 10.5% and the rest at 12.5% simple interest. If the annual income earned from both investments is \$2843.75, find the amount invested at each rate. This is not from a text book, this was a handed out assignment.1 solutions Answer 70539 by scott8148(6628)   on 2007-09-08 21:32:52 (Show Source): You can put this solution on YOUR website!x(12.5%)+(25000-x)(10.5%)=2843.75 ... .125x+2625-.105x=2843.75 ... .02x=218.75 ... x=10937.50 ... 25000-x=14062.50
 Travel_Word_Problems/96918: This problem is word for word from a homework assignment where the kids are allowed to get help. Four people are on a team in a race. It is night time and the team comes to an old rickety bridege. The bridge looks pretty frail and the team thinks that at most only ttwo people can be on the bridge at one time. The team has one flashlight among them. The bridge has gaps in it and whoever crosses the bridge must have the flashlight. That is to say the flashlight must cross the bridge every time. It takes each person a different time to cross the bridge. It takes person A 10 minutes to cross the bridge by themselves, B 5 minutes, C 2 minutes and D 1 minute. The rules are as follows: 1) If two people cross the bridge the time it takes is as slow as the slowest person crossing at the time. 2) The flashlight cannot leave the team's hands (it can't be thrown, tossed, rolled, etc--it must cross with someone) 3) No carrying of people, so no piggyback riding. Question: What is the SHORTEST time it takes all four people to get across? (Don't forget to add time for return trips also). Ex. A & D go together-10 min. A comes back-10 minutes. A & C go together- 10 min. A comes back-10 min. A & B go together-10 min. All people are across and it took 50 minutes. (This is not the correct answer, just an example of how the problem should be done) 1 solutions Answer 70537 by scott8148(6628)   on 2007-09-08 21:24:13 (Show Source): You can put this solution on YOUR website!you want the fastest person (D) to do the most crossing D accompanies each person across and returns for the next person 3 crossings (10+5+2) and 2 returns (1+1) for a total of 19 minutes
 Mixture_Word_Problems/96899: Tom needs a 25% solution of alcohol. He has a 15% solution and a 30% solution. How many liters of the 15% soloution should be added to 3 liters of the 30% soloution to obtain the 25% solution? This is not from a textbook, this was a handed out assignment.1 solutions Answer 70536 by scott8148(6628)   on 2007-09-08 21:14:40 (Show Source): You can put this solution on YOUR website!3(30%)+x(15%)=(3+x)(25%) ... .9+.15x=.75+.25x ... .15=.10x ... 1.5=x
 Quadratic_Equations/96807: choose the letter that describes the correct answer from this question. Please show your solution. What will be the sum of the two roots of a quadratic equation? a. b/a b. -b/a c. -a/b d. -b^2/4ac1 solutions Answer 70430 by scott8148(6628)   on 2007-09-07 21:10:02 (Show Source): You can put this solution on YOUR website! one root is the + in the numerator and the other root is the - when the two roots are added, the + and - terms cancel leaving -2b/2a or -b/a
 Finance/96808: Hi, my name is Tim and I have a problem with exponential decay. nintendo brand's value decreased by 11.2% from 2002 to 2003. Assume this continues. if the company had a value of 9,220,000 in 2002 write an equation for the value of nintendo for t yearsafter 2002.1 solutions Answer 70428 by scott8148(6628)   on 2007-09-07 21:04:21 (Show Source): You can put this solution on YOUR website!V=9220000(1-.112)^t
 Travel_Word_Problems/96803: A man drives 600 miles to a convention. on the return trip he increases his speed by 10 mph and saves 2 hours driving time. how fast did he drive going to and from the convention? Not from a textbook..a handed out assignment.1 solutions Answer 70426 by scott8148(6628)   on 2007-09-07 20:59:45 (Show Source): You can put this solution on YOUR website!time=distance/rate ... let x=(speed to the convention) 600/x=(600/(x+10))+2 ... (600-2x)/x=600/(x+10) ... cross multiplying gives 6000+580x-2x^2=600x combining and rearranging terms gives -2x^2-20x+6000=0 ... x^2+10x-3000=0 factoring gives (x+60)(x-50)=0 ... so x=-60 and x=50 ... negative value not realistic 50 mph to and 60 mph from
 Numbers_Word_Problems/96804: I am two digit number. I am twice the product of my digits. What number am I? I know that the number is 36. As 2(3*6)=36. How can I arrive at a formulae to arrive this answer.1 solutions Answer 70422 by scott8148(6628)   on 2007-09-07 20:32:56 (Show Source): You can put this solution on YOUR website!let t=(tens digit), let u=(units digit) ... 2*t*u=10t+u ... 2tu-10t=u ...2t(u-5)=u ... 2t=u/(u-5) u<10 and t<10 ... from the equation, u>5 and u/u-5 is an integer ... 6 is the only number that fits if u is 6, then t is 3
 Equations/96671: We have word problems that we have to take them and use an equation to figure out the answer. COuld you please help me with the following problem? A storage bin for corn consists of a cylindrical section made of wire mesh, surmounted by a conical tin roof. The height of the roof is one-third the entire height of the structure. If the total volume of the structure is 1400 pi ft^3 and its radius is 10 ft, what is its height? I have tried to make an equation but im not sure if I am heading in the right direction. I took the formula for the cylinder and added it with the forlmula for the cone and set them equall to 1400 pi. Then I was going to solve for h, but i got stuck right there. Thanks!1 solutions Answer 70397 by scott8148(6628)   on 2007-09-07 15:14:58 (Show Source): You can put this solution on YOUR website!let h=height ... (cylinder volume)+(cone volume)=1400pi pi(10^2)(2h/3)+(pi(10^2)(h/3))/3=1400pi ... dividing by 100pi gives (2h/3)+(h/3)/3=14 (6h/9)+(h/9)=14 ... 7h=14*9 ... h=18
 Equations/96674: Could you please help me with this question? A stained glass window is being designed in the shape of a rectangle surmounted by a semicircle. The width of the window is to be 3 ft. but the height is yet to be determined. If 24 ft^2 of glass is to be used, find the height. I know that you have to figure out the sides or something like that, but to be honest I really have no idea where to start at this problem. THanks!!1 solutions Answer 70395 by scott8148(6628)   on 2007-09-07 15:04:26 (Show Source): You can put this solution on YOUR website!let h=(height of the window) ... the radius of the semicircle is 3/2 ... the length of the rectangle is h-(3/2) (rectangle area)+(semicircle area)=24 ... 3(h-(3/2))+(pi(3/2)^2)/2=24 ... h=((24-((pi(3/2)^2)/2))/3)+(3/2) using a calculator gives h=8.32 (approximately)
 Equations/96675: Could you please help me with this question? A bank loaned out \$12,000, part of it at a rate of 8% per year and the rest at the rate of 18% per year. If the intrest received totaled \$1000, how much was loaned at 8%? I will be honest that I had no idea where to start with this problem. Thanks!!1 solutions Answer 70392 by scott8148(6628)   on 2007-09-07 14:41:13 (Show Source): You can put this solution on YOUR website!x(8%)+(12000-x)(18%)=1000 ... .08x+2160-.18x=1000 ... -.10x=-1160 ... x=11600
 Quadratic_Equations/96676: Solve the quadratic equations by completing the square. x^2-6x-3=0 This one I do not have any idea. Thank you for your help.1 solutions Answer 70391 by scott8148(6628)   on 2007-09-07 14:33:01 (Show Source): You can put this solution on YOUR website!completing the square means turning the quadratic into a "perfect square" first, (using addition or subtraction) move the constant term to the other side of the equation x^2-6x=3 next, (using multiplication or division) set the x^2 coefficient equal to 1 ... already done here next, square 1/2 of the x term coefficient and add it to both sides ... -6/2=-3 ... (-3)^2=9 x^2-6x+9=12 ... (x-3)^2=12 next, take the square root of both sides ... remembering that square roots are + and - x-3=sqrt(12) ... x-3=2(sqrt(3)) ... so x=3+2(sqrt(3)) and x=3-2(sqrt(3))
 Quadratic_Equations/96678: I am the worst woth word problems. Could someone help me with this one. During rush hour, Fernando can drive 35 miles using the side roads in the same time that it takes to travel 25 miles on the freeway. If Fernando's rate on the side roads is 8 mi/h faster than his rate on the freeway, find his rate on the side roads.1 solutions Answer 70390 by scott8148(6628)   on 2007-09-07 14:11:18 (Show Source): You can put this solution on YOUR website!let s=(rate on side roads), so (25/35)s=(rate on freeway) s=(25/35)s+8 ... 35s=25s+280 ... 10s=280 ... s=28
 Rational-functions/96698: This question is from textbook algebra 2 lugene's desk, the teacher's desk, and the trash can from a triangle. Lugene's desk is 10 feet from the teacher's desk. The angle he sights between the teacher's desk and the trash can is 100 degrees. The angle the teacher sights between lugene is just about to break a classroom rule and throw his gum into the trash can, about how far will it have to throw it? do you remember the Law of Sines?1 solutions Answer 70384 by scott8148(6628)   on 2007-09-07 13:45:37 (Show Source): You can put this solution on YOUR website!there is information missing
 Graphs/96709: Help I cannot get this :) Find values for m and b in the following system so that the solution to the system is (3, 4). 5x+7y=b mx+y=221 solutions Answer 70378 by scott8148(6628)   on 2007-09-07 13:38:48 (Show Source): You can put this solution on YOUR website!just plug in the values for x and y 5(3)+7(4)=b ... 15+28=b ... 43=b m(4)+4=22 ... 4m=18 ... m=4.5 or 9/2
 Complex_Numbers/96726: Hi! I have no clue as to how to solve, . Could you please help me?1 solutions Answer 70375 by scott8148(6628)   on 2007-09-07 13:32:51 (Show Source): You can put this solution on YOUR website!i is the square root of -1, so i^2=-1 and (i^2)^2=1 or i^4=1 this means that you can divide the exponent of i by 4 and the remainder will be, in effect, the exponent dividing -17 by 4 leaves a remainder of -1, so i^(-17)=i^(-1) or 1/i
 Geometric_formulas/96736: Right triangle where A, B and C represent the three points of the triangle. Angle A is 90 deg., C is 88 deg. and B is 2 deg. If base line AB is 20 feet, what is the length of the short line AC?1 solutions Answer 70374 by scott8148(6628)   on 2007-09-07 13:21:27 (Show Source): You can put this solution on YOUR website!AC/AB=tan(2°) ... AC=20(tan(2°)) ... AC=.698' approximately
 Systems-of-equations/96278: Please Help x-5y=10 2x-10y=20 1 solutions Answer 70313 by scott8148(6628)   on 2007-09-06 19:29:34 (Show Source): You can put this solution on YOUR website!multiplying the first equation by 2 gives the second equation this means that there is NO unique solution
 Systems-of-equations/96279: Please Help x+4y=-8 x-4y=-81 solutions Answer 70312 by scott8148(6628)   on 2007-09-06 19:25:55 (Show Source): You can put this solution on YOUR website!by inspection (just looking at it) 4y (and y) has to be zero; which means that x is -8
 Expressions-with-variables/96342: If you have \$8000 to invest for college and you are investing part at 7% interest and part at 5% interest, how much should you invest at each rate in order to get \$500 in interest after one year? 1 solutions Answer 70311 by scott8148(6628)   on 2007-09-06 19:20:16 (Show Source): You can put this solution on YOUR website!x(7%)+(8000-x)(5%)=500 ... .07x+400-.05x=500 ... .02x=100 ... x=5000 ... 8000-x=3000
 Polygons/96398: It says: Determine whether each quadrilateral with the given vertices is a parallelogram, a rectangle, a rhombus, or a square. List all that apply. Then they give me the points: M(1,5), N(6,5), O(6,10), P(1,10) What do I do?1 solutions Answer 70310 by scott8148(6628)   on 2007-09-06 19:14:12 (Show Source): You can put this solution on YOUR website!start by plotting the points, and see what you get N is 5 units directly above M, O is 5 units directly to the right of N, P is 5 units directly below O, M is 5 units directly to the left of P this figure is a square (5 units on a side) - which is a rhombus and a rectangle - which are both parallelograms
 Miscellaneous_Word_Problems/96509: This question is from textbook pg 125.the cross country teams of East High and West High run against each other twice each fall. At the 1st meet, East's score was 2/3 of West's score. At the 2nd meet, East's score increased by seven points and West's score decreased by seven points. In the 2nd meet West's score was three less than East's score. how many points did each team score in each meet? I know that...1st meet East = w(2/3) and West = w 2nd meet, East = w(2/3) + 7 and West = w - 7 (AND is 3 less than east) Can you help me set this up? Thank you!1 solutions Answer 70309 by scott8148(6628)   on 2007-09-06 19:00:06 (Show Source): You can put this solution on YOUR website!E1=(2/3)W1 ... (3/2)E1=W1 ... E1+7=((3/2)E1-7)+3 E1+4=(3/2)E1-7 ... 11=(1/2)E1 ... 22=E1 ... 33=W1 ... 29=E2 ... 26=W2
 Miscellaneous_Word_Problems/96510: This question is from textbook pg128. The Alan Company bought 80 tickets for a jazz concert. After giving away 20 tickets to customers, the company sold the rest to employees at 1/2 the purchase price. If the company absorbed a \$1000 loss on all the tickets how much did an employee pay for a ticket? I know that 80x - 20 = 60(1/2x) and lost (-) \$1000. Please help me set up. Thank you!1 solutions Answer 70307 by scott8148(6628)   on 2007-09-06 18:47:50 (Show Source): You can put this solution on YOUR website!let x=employee cost ... (80*company cost)-(loss)=(60*employee cost) 80(2x)-1000=60x ... 160x-1000=60x ... 100x=1000 ... x=10
 Miscellaneous_Word_Problems/96512: This question is from textbook pg 128 Celia bought 12 apples, ate two of them, and sold the rest at .20 more per apple than she paid. Her total profit was \$1.00. How much did she sell each apple for? I know this is more simple than I am making it. Please help. 12x - 2 = 10(x + .20) +1.00?1 solutions Answer 70306 by scott8148(6628)   on 2007-09-06 18:36:46 (Show Source): You can put this solution on YOUR website!she bought 12 apples and ate 2, leaving 10 ... she sold the 10 for .20 more per apple than she paid ... her profit was 1.00 let x=selling price ... 10x-1.00=12(x-.20) ... 10x-1=12x-2.4 ... 1.4=2x ... .70=x