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 Linear_Algebra/362367: I wanted to know how to solve by graphing. -3x-y=-10 4x-4y=8 (-1,3)or (1,3) or (3,-1) or (3,1) I forgot how to solve and I have finals this week... Thanks for any help... Angelia1 solutions Answer 258245 by mananth(12269)   on 2010-10-27 00:05:25 (Show Source): You can put this solution on YOUR website!-3x-y=-10...................1 4x-4y=8.....................2 multiply equation 1 by-4 12x+4y=40 add it to 2 16x=48 x=3 plug value of x in 1 -9-y=-10 y=1 (3,1) is the solution ... if you need to solve by graphing then generate 3 values of y for various values of x for both equations Example 1. (1, 7) (2 ,4) 2.(1-1) ... m.ananth@hotmail.ca
 Numeric_Fractions/362386: and this other one i don't get is:: 3x+7=2x-7? how do you do this step by step so i'll be prepared for the test tomorrow? 1 solutions Answer 258242 by mananth(12269)   on 2010-10-26 23:54:36 (Show Source): You can put this solution on YOUR website!3x+7=2x-7 bring all the terms on one side and constants on other side. add -7 to both sides 3x+7-7=2x-7-7 3x=2x-14 add -2x to both sides 3x-2x=2x-2x-14 x=-14 .. all the best .. m.ananth@hotmail.ca
 Word_Problems_With_Coins/362371: A coin collection totals \$5.60, and consists of 35 coins. The number of dimes and the number of nickels is the same, and the number of quarters is one less than twice the number of dimes (or nickels). Find the number of each type of coin in the collection.1 solutions Answer 258240 by mananth(12269)   on 2010-10-26 23:51:39 (Show Source): You can put this solution on YOUR website!A coin collection totals \$5.60, and consists of 35 coins. The number of dimes and the number of nickels is the same, and the number of quarters is one less than twice the number of dimes (or nickels). ... A coin collection totals \$5.60, consists of 35 coins. The number of dimes and the number of nickels is the same, =x and the number of quarters is one less than twice the number of dimes 2x-1 .. x+x+2x-1=35 4x-1=35 4x=36 x= 9 dimes = nickels quarters = 35-(9+9) 17 quarters 17*25+9*10+9*5= 560 ,,, m.ananth@hotmail.ca
 Miscellaneous_Word_Problems/362373: Light travels at (2.99792458)(10 to the 8th power) metres per second. How far does it travel in one day?1 solutions Answer 258236 by mananth(12269)   on 2010-10-26 23:43:41 (Show Source): You can put this solution on YOUR website!(2.99792458)(10 to the 8th power) metres per second. How far does it travel in one day? metres per second. .. 1hour = 3600 seconds 1 day = 3600 * 24 = 86400 .. d=rt d= d= .. m.ananth@hotmail.ca
 Average/362379: what is the value of x if the average of 2,3,4,6,x, is 3?1 solutions Answer 258227 by mananth(12269)   on 2010-10-26 23:13:01 (Show Source): You can put this solution on YOUR website!average of 2,3,4,6,x, is 3? ... add up x+15 is the total (x+15)/5 = 3 x+15=15 x=0 ... m.ananth@hotmail.ca
 Average/362378: If the average of 8,11,25 and p is 15, then 8+11+25+p=?. Is there any way of doing this type of problem without just guessing numbers and putting them in there?1 solutions Answer 258223 by mananth(12269)   on 2010-10-26 23:10:55 (Show Source): You can put this solution on YOUR website!8,11,25 and p is 15, (p+44)/4 =15 p+44 =60 then 8+11+25+p=60 ... m.ananth@hotmail.ca
 Quadratic_Equations/362374: (x-3)(x+5)=7 i need to solve this problem. I tried factoring it out but it doesnt work so i need to use the quadratic equation to find the answers1 solutions Answer 258218 by mananth(12269)   on 2010-10-26 23:07:45 (Show Source): You can put this solution on YOUR website!(x-3)(x+5)=7 x^2+5x-3x-15=7 x^2+2x-15-7=0 x^2+2x-22=0 discriminant =92 x1=3.79 x2= x2=-5.79 ... m.ananth@hotmail.ca
 Miscellaneous_Word_Problems/362372: How many litres of a 12% alcohol solution must be mixed with 8 litres of a 3% alcohol solution to make a 9% solution 12x/100 + 8 . 3 / 100 = (x + 8 ). 9 / 100 12x + 24 = 9(x+8) 3x = 48 x = 161 solutions Answer 258216 by mananth(12269)   on 2010-10-26 23:02:48 (Show Source): You can put this solution on YOUR website! 12% alcohol solution - x litres mixed with 8 litres of a 3% mix 9% solution (x+8)litres .. 0.12x+8*0.03=0.09(x+8) 0.12x+0.24=0.09x+0.72 0.03x=0.72-0.24 0.03x=0.48 x=0.48/0.03 x=16 litres of 12% alchohol ... m.ananth@hotmail.ca
 Evaluation_Word_Problems/362368: hello i was wondering if anyone could help me with this word problem that i have been struggling with. it reads: find two whole numbers whose product is 15 such that one of the numbers is seven more than four times the other number. thank you for your time, it is greatly appreciated.1 solutions Answer 258211 by mananth(12269)   on 2010-10-26 22:57:43 (Show Source): You can put this solution on YOUR website!let the number be x& y xy=15 x=15/y .. x=4y+7 plug value of x 15/y=4y+7 15=y(4y+7) 15=4y^2+7y 4y^2+7y-15=0 4y^2+12y-5y-15=0 4y(y+3)-5(y+3)=0 (y+3)(4y-5) so y =-3 ... plug value of y in the equation x= -5 ... m.ananth@hotmail.ca
 Linear-equations/362369: If the first and third of consecutive even integers are added, the result is 22 less than three times the second integer. Find the integers1 solutions Answer 258206 by mananth(12269)   on 2010-10-26 22:51:21 (Show Source): You can put this solution on YOUR website!If the first and third of consecutive even integers are added, the result is 22 less than three times the second integer. Find the integers let x,x+1,x+2 be the integers ... x+x+2=3(x+1)-22 2x+2=3x+3-22 3x-2x=22-3+2 x=21 ... the integers are 21,22,23 .. m.ananth@hotmail.ca
 Quadratic_Equations/362320: What's the quadratic equation if X=2+i square root of 11, X= 2-i square root of 111 solutions Answer 258189 by mananth(12269)   on 2010-10-26 21:20:31 (Show Source): You can put this solution on YOUR website!X=2+i square root of 11 square (x-2)^2=i^2*11 x^2-4x+4=-1*11 x^2-4x+4 =-11 x^2-4x+15=0 ... m.ananth@hotmail.ca .. X= 2-i square root of 11 x-2=-i*sqrt11 (x-2)^2=-i^2*11 x^2-4x+4=11 x^2-4x-7=0
 Linear-systems/362314: For the following problem, the slope and one point on a line are given. Use the point-slope form to find the equation of the line. (Write your answers in slope-intercept form.) (-8,-1), m = -1/41 solutions Answer 258184 by mananth(12269)   on 2010-10-26 21:12:29 (Show Source): You can put this solution on YOUR website!the equation is given by (y-y1)=m(x-x1) .. (-8,-1), m = -1/4 .. y-(-1)=(-1/4)*(x-(-8)) y+1=(-1/4)(x+8) y+1=-x/4 -2 y=(-x/4)-3 ... m.ananth@hotmail.ca
 Quadratic_Equations/362312: What's the quadratic equation if X= -2 square roots of 51 solutions Answer 258180 by mananth(12269)   on 2010-10-26 21:07:52 (Show Source): You can put this solution on YOUR website! square add -20 ... m.ananth@hotmail.ca
 Numbers_Word_Problems/362307: if a number is added to two times its square the result is thirty six 1 solutions Answer 258179 by mananth(12269)   on 2010-10-26 21:05:00 (Show Source): You can put this solution on YOUR website!let number be n n+2n^2 =36 2n^2+n-36=0 2n^2+9n-8n-36=0 n(2n+9)-4(2n+9)=0 (2n+9)(n-4)=0 .. n= -9/2 OR 4 ... m.ananth@hotmail.ca
 Finance/362298: An automolbile buyer is trying to decide whether to buy a new car and finance it for 5 years at 7% interest or a used car costing \$11500 less at 11% for 2 years. The new car load will cost \$5130 more in interest than the used car loan. Find the cost of each car1 solutions Answer 258177 by mananth(12269)   on 2010-10-26 21:01:30 (Show Source): You can put this solution on YOUR website!An automolbile buyer is trying to decide whether to buy a new car and finance it for 5 years at 7% interest or a used car costing \$11500 less at 11% for 2 years. The new car load will cost \$5130 more in interest than the used car loan. Find the cost of each car ... let new car price be \$x interest on this car = 0.07*x*5=0.35x ... used car price = x-11500 interest = 0.11*(x-11500)**2 .. 0.35x - 0.11*(x-11500)*2=5130 0.35x-0.22x+2530=5130 0.13x=2600 x=2600/0.13 x=\$ 20,000 new car .. old car = \$,9500 ... m.ananth@hotmail.ca .
 Finance/362295: An investor placed her money in a venture paying 7% interest. If she had another \$1500, she would have been able to invest her money at 10% and gain an additional \$255 in annual interest. How much did she invest 1 solutions Answer 258170 by mananth(12269)   on 2010-10-26 20:51:47 (Show Source): You can put this solution on YOUR website!An investor placed her money in a venture paying 7% interest. If she had another \$1500, she would have been able to invest her money at 10% and gain an additional \$255 in annual interest. How much did she invest ... let her invest \$x x+1500 @ 10% interest she would have gained = 255+0.07x .. (x+1500)*0.1=225+0.07x 0.1x+150=225+0.07x 0.1x-0.07x=225-150 0.03x=75 x=75/0.03 x=2500 amount she invested ... m.ananth@hotmail.ca
 Equations/362289: Envelope stuffing. Every week, Linda must stuff 1000 envelopes. She can do the job by herself in 6 hours. If Laura helps, they get the job done in 5 1/2 hours. How long would it take Laura to do the job by herself ? 1 solutions Answer 258165 by mananth(12269)   on 2010-10-26 20:42:24 (Show Source): You can put this solution on YOUR website!linda can do the job by herself in 6 hours. If Laura helps, they get the job done in 5 1/2 hours. ... linda can do 1/6 of the job in 1 hour. together they can do 2/11 of the job in 1 hour .. 2/11-1/6 LCM =66 (12-11)/20 1/20 of the job so Laura can do the job in 20 hours alone ... m.ananth@hotmail.ca
 Polynomials-and-rational-expressions/362288: what is the greatest common factor of 28x to fourth power and 35x to sixth power I came up with 7x to second power but marked wrong1 solutions Answer 258162 by mananth(12269)   on 2010-10-26 20:38:05 (Show Source): You can put this solution on YOUR website! ...
 Evaluation_Word_Problems/362283: On the first of three tests, Charlotte scored 72 points. On the third test, her score was one point more than on her second test. Her average on the three tests were 83. What were her scores on the second and third tests?1 solutions Answer 258159 by mananth(12269)   on 2010-10-26 20:34:37 (Show Source): You can put this solution on YOUR website!On the first of three tests, Charlotte scored 72 points. On the third test, her score was one point more than on her second test. Her average on the three tests were 83. What were her scores on the second and third tests? .. average on 3 tests = 83 so total = 249 .. first = 72 second x third = x+1 ... x+x+1+72=249 2x+73=249 2x=249-73 2x=176 /2 x=88 second test third = 89 ... m.ananth@hotmail.ca
 Numbers_Word_Problems/362275: a wire is 224cm long is cut into three pieces the first is twice as long as the second the third is one-half as long as the second how long is the second piece?1 solutions Answer 258154 by mananth(12269)   on 2010-10-26 20:30:20 (Show Source): You can put this solution on YOUR website!a wire is 224cm long is cut into three pieces the first is twice as long as the second the third is one-half as long as the second how long is the second piece? .. let second be x cm first = 2x third = x/2 .. x+2x+(x/2)=5x/2 7x/2=224 multiply by 2 (7x/2)*2 = 224*2 5x=448 /7 x=64 x=64 cm the second part first part = 2x = 64*2=128 cm third part = x/2 = 64/2=32 cm ... m.ananth@hotmail.ca
 test/362264: I need to solve the3c+2d=2 d=41 solutions Answer 258145 by mananth(12269)   on 2010-10-26 20:16:36 (Show Source): You can put this solution on YOUR website!3c+2d=2 d=4 .. plug value of d 3c+2*4=2 3c+8=2 add -8 3c+8-8=-8+2 3c=-6 divide by 3 3c/3=-6/3 c=-2 ...
 Inverses/362266: The team gained 22 yards on the first play and lost 9 yards on the second. What was their net gain or loss?1 solutions Answer 258143 by mananth(12269)   on 2010-10-26 20:13:45 (Show Source): You can put this solution on YOUR website!+22-9 =+13