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# Recent problems solved by 'scott8148'

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 Proportions/126525: This question is from textbook Algebra 1-A teaching textbook I think the problem is "Proportions". I can't find how to do it in my math book. 5 5 - (-2) = - x 4 The problem above is '5 over x, minus 2, equals five over four. The answer is 20 over 13. I need to know how to get that answer. 1 solutions Answer 92743 by scott8148(6628)   on 2008-02-12 18:10:35 (Show Source): You can put this solution on YOUR website! adding 2 (or 8/4) __ multiplying by 4x (or "cross" multiplying) __ 20=13x dividing by 13 __
 Miscellaneous_Word_Problems/126498: I have so much trouble with word problems, please help me. Soybean meal is 16% protein. Cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320-lb mixture that is 15% protein? Thank you far any help you can give.1 solutions Answer 92695 by scott8148(6628)   on 2008-02-12 13:19:02 (Show Source): You can put this solution on YOUR website!let x="soybean (16%)", so 320-x="corn (8%)" (16%)(x)+(8%)(320-x)=(14%)(320) __ .16x+25.6-.08x=44.8 __ .08x=19.2
 Linear_Equations_And_Systems_Word_Problems/126492: I am brain dead today and could use help here please! Thanks so much for any help you can give. A student makes a \$9.25 purchase at a bookstore with a \$20. bill. The store has no bills and gives the change in quarters and fifty cent pieces. There are 30 coins in all. How many of each kind are there? 1 solutions Answer 92693 by scott8148(6628)   on 2008-02-12 13:09:59 (Show Source): You can put this solution on YOUR website!let x=quarters, so 30-x="fifty cent pieces" __ working in cents to avoid decimals (25)(x)+(50)(30-x)=2000-925 __ 25x+1500-50x=1075 __ -25x=-425
 Exponential-and-logarithmic-functions/126487: A computer is infected with the Sasser virus. Assume that it infects 20 other computers within 5 minutes; and that these PCs and servers each infect 20 more machines within another five minutes, etc. How long until 100 million computers are infected?1 solutions Answer 92692 by scott8148(6628)   on 2008-02-12 13:03:18 (Show Source): You can put this solution on YOUR website!let x="time in minutes" __ 20^(x/5)=100000000 (x/5)log(20)=log(100000000) __ x/5=8/log(20) __ x=40/log(20)
 Mixture_Word_Problems/126448: What amount of each mixture, one 95% alcohol and the other 15% alcohol, must be used to make 10 liters of a mixture which is 45% alcohol? What equations will express this problem?1 solutions Answer 92688 by scott8148(6628)   on 2008-02-12 12:51:21 (Show Source): You can put this solution on YOUR website!let x="amount of 15%", so 10-x="amount of 95%" (15%)(x)+(95%)(10-x)=(45%)(10) __ .15x+9.5-.95x=4.5 __ -.8x=-5
 Miscellaneous_Word_Problems/126438: This question is from textbook Algebra 2-Incremental Development Flotsam and Jetsam littered the beach. the pieces of Flotsam numbered 160 more than the pieces of Jetsam, and 6 times the number of pieces of Jetsam outnumbered the number of pieces of Flotsam by 40. How many pieces of each were there?1 solutions Answer 92685 by scott8148(6628)   on 2008-02-12 12:21:58 (Show Source): You can put this solution on YOUR website!"pieces of Flotsam numbered 160 more than the pieces of Jetsam" __ F=J+160 "6 times the number of pieces of Jetsam outnumbered the number of pieces of Flotsam by 40" __ 6J=F+40 substituting the value of F from the first equation into the second equation __ 6J=(J+160)+40 6J=J+200 __ 5J=200
 Graphs/126425: This question is from textbook ALGEBRA 1 Y=X-7 4X-7Y=10 FIND X AND Y SOLUTION1 solutions Answer 92683 by scott8148(6628)   on 2008-02-12 12:15:42 (Show Source): You can put this solution on YOUR website!SUBSTITUTING the value of y from the first equation into the second equation 4x-7(x-7)=10 __ 4x-7x+49=10 __ -3x=-39
 Mixture_Word_Problems/126274: A chemist needs 90 milliliters of a 78% solution, but has only 43% and 88% solutions available. Find how many milliliters of each should be mixed t oget the desired solution.1 solutions Answer 92610 by scott8148(6628)   on 2008-02-11 20:36:07 (Show Source): You can put this solution on YOUR website!let x="ml 88%", so 90-x="ml 43%" {88%)(x)+(43%)(90-x)=(78%)(90) __ .88x+38.7-.43x=70.2 __ .41x=31.5
 Graphs/126167: Solve the following system. If a unique solution does not exist, state whether the system is inconsistent or dependent. 2x-y=4, 2x-y=6 1 solutions Answer 92470 by scott8148(6628)   on 2008-02-10 21:13:57 (Show Source): You can put this solution on YOUR website!subtracting the first equation from the second gives 0=2 __ this is inconsistent
 Graphs/126156: Are the following lines parallel, perpendicular, or neither? L1 with equation x – 6y = 24 L2 with equation 6x + y = 6 1 solutions Answer 92466 by scott8148(6628)   on 2008-02-10 21:05:52 (Show Source): You can put this solution on YOUR website!convert equations to slope-intercept form (y=mx+b) L1 __ y=(1/6)x-4 L2 __ y=-6x+6 the slopes are negative reciprocals (their product is -1) __ so the lines are perpendicular
 Linear-equations/126140: I need help with this I am very lost here! Thank so much for your help. find the slope intercept equation of the line that has the given characteristics slope 4.3 and y interecpt (0,-4) the slope intercept equation y=? 1 solutions Answer 92461 by scott8148(6628)   on 2008-02-10 20:57:08 (Show Source): You can put this solution on YOUR website!the general equation is y=mx+b, where m is the slope and b is the y-intercept y=4.3x-4
 Square-cubic-other-roots/126130: factoring: quadratic equations and completing the square 2a^2-5ab-3b^21 solutions Answer 92459 by scott8148(6628)   on 2008-02-10 20:51:35 (Show Source): You can put this solution on YOUR website!(2a+b)(a-3b)
 absolute-value/126103: The length of a rectangle is 10 in. more than twice its width. If the perimeter of the rectangle is 38 in., find the width of the rectangle1 solutions Answer 92457 by scott8148(6628)   on 2008-02-10 20:41:12 (Show Source): You can put this solution on YOUR website!let x=width, so 2x+10=length __ 2(x)+2(2x+10)=38 __ 2x+4x+20=38 __ 6x=18
 Quadratic_Equations/126098: Find the value of n for which (8(^n+1))(2(^2n-1))(4(^n+1))/16^n=32.1 solutions Answer 92451 by scott8148(6628)   on 2008-02-10 20:24:10 (Show Source): You can put this solution on YOUR website!converting to a base of 2 __ (2^3(^n+1))(2(^2n-1))(2^2(^n+1))/((2^4)^n)=2^5 3n+3+2n-1+2n+2-4n=5 __ 3n+4=5 __ 3n=1
 Polynomials-and-rational-expressions/126055: A rectangle is 4 times as long as it is wide. A second rectangle is 5 centimenters longer and 2 centimeters wider than the first. The area of the second rectangle is 270 square centimeters greater than the first. What are the deminsions of the original rectangle? Thank you in advance!!1 solutions Answer 92442 by scott8148(6628)   on 2008-02-10 20:03:01 (Show Source): You can put this solution on YOUR website!let x=width, so 4x=length (x+2)(4x+5)=(x)(4x)+270 __ 4x^2+13x+10=4x^2+270 13x=260
 Linear_Equations_And_Systems_Word_Problems/126053: This question is from textbook A square animal pen and a pen shaped like an equilateral triangle have equal perimeters. Find the length of the sides of each pen if the sides of the triangular pen are fifteen less than twice a side of the square pen. What I know: P=4s and P=3a, a=2s-15. That's all. I don't know how to use that information, if it's useful in solving the problem, or how to get started on the problem. I've tried drawing pictures and solving for various things, I'm seriously stumped and any help would be GREATLY appreciated. Thank you so much.1 solutions Answer 92440 by scott8148(6628)   on 2008-02-10 19:57:12 (Show Source): You can put this solution on YOUR website!good so far __ the perimeters are EQUAL __ P=P __ 3a=4s substituting __ 3(2s-15)=4s __ 6s-45=4s __ 2s=45
 Quadratic_Equations/126041: Simplify the logarithmetic expression: log1000-log(10^-1)+logsqrt10.1 solutions Answer 92438 by scott8148(6628)   on 2008-02-10 19:51:59 (Show Source): You can put this solution on YOUR website!3-(-1)+((.5)(1))
 absolute-value/126035: Translate the following statement into an algebraic equation. Let x represent the number. 3 less than 14 times a number is 5 times that same number. 1 solutions Answer 92437 by scott8148(6628)   on 2008-02-10 19:49:15 (Show Source): You can put this solution on YOUR website!"3 less than 14 times a number" __ 14x-3 "is" __ = "5 times that same number" __ 5x 14x-3=5x
 Percentage-and-ratio-word-problems/125770: Lane invested \$10,000, part at 15% and part at 14%. If the total interest at the end of the year is \$1,430, how much did she invest at 15%?1 solutions Answer 92231 by scott8148(6628)   on 2008-02-09 17:01:21 (Show Source): You can put this solution on YOUR website!let x="amount @ 15%", so 10000-x="amount @ 14%" (15%)x+(14%)(10000-x)=1430 __.15x+1400-.14x=1430 __ .01x=30
 Miscellaneous_Word_Problems/125764: A sample of seawater contains 6.0277g sodium chloride per liter of solution. How many mg of salt would be found in 15.0 ml of seawater?1 solutions Answer 92230 by scott8148(6628)   on 2008-02-09 16:56:28 (Show Source): You can put this solution on YOUR website!since there are 1000 miligrams in a gram, and 1000 mililiters in a liter __ grams per liter is the SAME as miligrams per mililiter 6.0277*15
 Polynomials-and-rational-expressions/125741: This question is from textbook Introductory Algebra A polynomial in x has degree 3. The coefficient of x^2 is 3 less than the coefficient of x^3. The coefficient of x is three times the coefficient of x^2. The remaining coefficient is 2 more than the coefficient of x^3. The sum of the coefficient is -4. Find the polynomial.1 solutions Answer 92228 by scott8148(6628)   on 2008-02-09 16:46:22 (Show Source): You can put this solution on YOUR website!ax^3+(a-3)x^2+(3a-9)x+(a+2) __ a+a-3+3a-9+a+2=-4 __ 6a-10=-4 __ 6a=6
 Geometric_formulas/125718: This question is from textbook College Algebra A rancher has 100 meters of fencing to enclose two adjacent rectangular corrals. The rancher wants the enclosed area to be 350 square meters. What dimensions should the rancher use to obtain this area?1 solutions Answer 92225 by scott8148(6628)   on 2008-02-09 16:40:16 (Show Source): You can put this solution on YOUR website!let x=length and y=width __ 2x+3y=100 __ 2x=100-3y xy=350 __ 2xy=700 substituting __ (100-3y)y=700 __ 100y-3y^2=700 __ 0=3y^2-100y+700 factoring __ 0=(3y-70)(y-10)
 Numeric_Fractions/125730: This question is from textbook pre-algebra DeMystified pre-algebra operations with positive and negative fractions. multiply. -3/4x2/5-1/8. in working the problem i did the multiplication first. -3/4x2/5 to get -3/2x1/5 then -3times1=-3 then two times five = 10 for an answer of -3/10-1/8=3/80. wrong answer. the book states -17/40 as the answer. I worked the problem again and got 7/40. this is as close as i can get to -17/40. why is this a negative number and how is the answer 17/40 and not 7/40? please help !!! thanks stumped.....1 solutions Answer 92208 by scott8148(6628)   on 2008-02-09 15:15:37 (Show Source): You can put this solution on YOUR website!-3/10-1/8 is correct, but it does NOT equal 3/80 __ the second minus sign means subtraction __ not multiplication by a negative quantity -3/10 minus 1/8 __ -12/40 minus 5/40
 Travel_Word_Problems/125702: I not sure how to write the equation for this one the one i did was wrong. To get to his parents' house, John must travel at a speed of 60 mph on land and then use a motorboat that travels at a speed of 20 mph in still water. John goes by land to a dock and then travels on a river against a current of 4 mph. He reaches his parent's home in 4.5 hours. The return trip takes him 3.5 hours. How far do his parents live from his house? 1 solutions Answer 92094 by scott8148(6628)   on 2008-02-08 14:05:43 (Show Source): You can put this solution on YOUR website!the land part of the trip is the same, coming or going, so concentrate on the water distance equals rate times time __ it takes an hour longer to go upstream let t="return time on water" __ (20-4)(t+1)=(20+4)(t) __ 16t+16=24t __ 16=8t __ t=.5 so 12 mi [24(.5)] on water and 180 mi [60(3.5-.5)] on land
 Volume/125661: My question is: A rectangular piece of cardboard whose length is twice its width is used to construct an open box. Cutting a 1 foot by 1 foot square off of each corner and folding up the edges will yield an open box. If the desired volume is 12 cubic feet, what are the dimensions of the original rectangular piece of cardboard? thanks! 1 solutions Answer 92090 by scott8148(6628)   on 2008-02-08 13:50:17 (Show Source): You can put this solution on YOUR website!let 2x=length, so x=width __ each dimension is reduced by 2 when the corners are cut (2x-2)(x-2)(1)=12 __ 2x^2-6x+4=12 subtracting 12 and dividing by 2 __ x^2-3x-4=0 factoring __ (x-4)(x+1)=0
 Numbers_Word_Problems/125649: A two digit number has its digits sum equal to 11. If you reverse the digits of this number, the new two digit number is 27 more than the original two digit number. I know that the original number is 47 and the new digits in reverse is 74 (which is 27 more than the original 47) My question is a solution, including all algebraic steps to solve this problem. Thanks ML1 solutions Answer 92089 by scott8148(6628)   on 2008-02-08 13:47:46 (Show Source): You can put this solution on YOUR website!let x="tens digit" and y="units digit" __ x+y=11 __ x=11-y 10y+x=10x+y+27 substituting __ 10y+(11-y)=10(11-y)+y+27 __ 9y+11=137-9y __ 18y=126
 Polynomials-and-rational-expressions/125630: We're working on polynomials and stuff in class and we're using the foil method. I have no clue what to do on that. so how would you do (X-4)(X+10)using the foil method?1 solutions Answer 92088 by scott8148(6628)   on 2008-02-08 13:38:57 (Show Source): You can put this solution on YOUR website!FOIL is summing the products of pairs of terms __ First terms, Outside terms, Inside terms, Last terms (X-4)(X+10) __ (X)(X)+(-4)(X)+(X)(10)+(-4)(10) __ X^2-4X+10X-40 __ X^2+6X-40
 Polynomials-and-rational-expressions/125629: Simplify by removing factors of 1. 6x^2 - 54 / 4x^2 - 36 This is supposed to look like a fraction. I got a couple of similar problems right and then I got stuck on this one for some reason. Thank you in advance. 1 solutions Answer 92086 by scott8148(6628)   on 2008-02-08 13:32:11 (Show Source): You can put this solution on YOUR website!factoring __ (3*2(x^2-9))/(2*2(x^2-9))
 Volume/125627: Hi. I am really struggling with this one. A rectangular piece of cardboard whose length is twice its width is used to construct an open box. Cutting a 1 foot by 1 foot square off of each corner and folding up the edges will yield an open box. If the desired volume is 12 cubic feet, what are the dimensions of the original rectangular piece of cardboard?? Thank you!1 solutions Answer 92085 by scott8148(6628)   on 2008-02-08 13:25:17 (Show Source): You can put this solution on YOUR website!let 2x=length, so x=width __ each dimension is reduced by 2 when the corners are cut (2x-2)(x-2)(1)=12 __ 2x^2-6x+4=12 subtracting 12 and dividing by 2 __ x^2-3x-4=0 factoring __ (x-4)(x+1)=0
 Polynomials-and-rational-expressions/125620: I need help solving this equation: x^2 - 2x = 8. I get -2x(x+4) thank you for your help1 solutions Answer 92084 by scott8148(6628)   on 2008-02-08 13:16:19 (Show Source): You can put this solution on YOUR website!subtracting 8 __ x^2-2x-8=0 factoring __ (x+2)(x-4)=0
 Vectors/125572: a sign weighing 100lbs is connected in ceiling by cables having 43 degree and 62 degree with the ceiling. how can i find the tensions between the cables?1 solutions Answer 92031 by scott8148(6628)   on 2008-02-07 21:47:26 (Show Source): You can put this solution on YOUR website!the vertical components of the tensions must sum to 100 lbs (to hold up the sign) the horizontal components of the tensions cancel each other (equal but opposite) __ otherwise, the sign would move T1(sin(43))+T2(sin(62))=100 T1(cos(43))=T2(cos(62))