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# Recent problems solved by 'mananth'

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 Surface-area/361019: The product of two consecutive integers is 29 more than the sum. What are the integers?1 solutions Answer 257549 by mananth(12270)   on 2010-10-24 21:00:46 (Show Source): You can put this solution on YOUR website!let the integers be x,x+1 x(x+1)= x+x+1+29 x^2+x=2x+1+29 x^2-2x+x-30=0 x^2-x-30=0 (x-6)(x+5)=0 x= 6 or -5 6,7 -5,-4 ... m.ananth@hotmail.ca
 Angles/361009: Find an angle whose supplement is 54 degrees greater in measure than three times its complement.1 solutions Answer 257546 by mananth(12270)   on 2010-10-24 20:57:07 (Show Source): You can put this solution on YOUR website!Find an angle whose supplement is 54 degrees greater in measure than three times its complement. .. let angle be x suplement = 180-x complement = 90-x 180-x=3(90-x)+54 180-x=270-3x+54 2x=270+54-180 2x=144 deg x= 72 .. m.ananth@hotmail.ca
 Rational-functions/360635: 1 solutions Answer 257391 by mananth(12270)   on 2010-10-24 10:32:13 (Show Source): You can put this solution on YOUR website! .. ... ... ... ... m.ananth@hotmail.ca
 Miscellaneous_Word_Problems/360464: The largest egg laid by any bird is that of the ostrich. An ostrich egg can reach 8 inches in length. The smallest egg is that of the vervain hummingbird. It's eggs are approximately .4 inch in length. Write an in equality the represents the various lengths of bird eggs.1 solutions Answer 257388 by mananth(12270)   on 2010-10-24 10:20:33 (Show Source): You can put this solution on YOUR website!let x be the size .. ... m.ananth@hotmail.ca
 Numeric_Fractions/360669: Sam has to eat one and one half pies in two minutes at the end of one minute he ate seven-eighths of a pie. How much pie does Sam have left to eat? 1 solutions Answer 257386 by mananth(12270)   on 2010-10-24 10:16:24 (Show Source): You can put this solution on YOUR website!1 1/2 pie = 3/2 pie he ate 7/8 so balance to be eaten = (3/2)-(7/8) =(12-7)/8 = 5/8 ia balance ... m.ananth@hotmail.ca
 Quadratic_Equations/360662: THE AREA OF A CIRCLE WITH RADIUS R IS GIVEN BY THE FORMULA A=nr2, IF A CIRCLE HAS A AREA 100n SQUARE INCHES WHAT IS THE RADIUS. THE RADIUS IS _____________ SIMPLIFY YOUR ANSWER TYPE AN INTEGER OR A FRACTION................1 solutions Answer 257385 by mananth(12270)   on 2010-10-24 10:13:32 (Show Source): You can put this solution on YOUR website!Area = 100n in^2 n*r^2=100n in^2 r^2=100n/n ... m.ananth@hotmail.ca
 Linear-equations/360668: x-15=12 how do i solve this?1 solutions Answer 257384 by mananth(12270)   on 2010-10-24 10:06:38 (Show Source): You can put this solution on YOUR website!x-15=12 add 15 to both sides to make x the subject x-15 +15 = 15+12 x=27 ... m.ananth@hotmail.ca
 Distributive-associative-commutative-properties/360665: I have the problem: 41-8x= -6x-23 They say that x= -9. Is this true or false? 1 solutions Answer 257383 by mananth(12270)   on 2010-10-24 10:05:11 (Show Source): You can put this solution on YOUR website!41-8x= -6x-23 plugvalue of x=-9 41-8*(-9)=-6*(-9)-23 41+72= 54-23 113=31 so x is not equal to -9 ... m.ananth@hotmail.ca
 Graphs/360652: sketch a straight line defined by the linear equation by finding the x- and y- intercepts equation is 2x - 5y + 10= 01 solutions Answer 257374 by mananth(12270)   on 2010-10-24 09:21:36 (Show Source): You can put this solution on YOUR website!2x - 5y + 10= 0 plug y =0 2x+10=0 2x=-10 x=-5 point(-5,0) ... plug x=0 -5y+10=0 -5y=-10 y=2 point(0,2) ... plot the points and join the two points m.ananth@hotmail.ca
 Radicals/360651: I must find the distance between these two points P(√5,0);Q(0,2). Im a little thrown off by the radical and I may be nuking it. Help.1 solutions Answer 257373 by mananth(12270)   on 2010-10-24 09:16:46 (Show Source): You can put this solution on YOUR website!P(sqrt5,0);Q(0,2). D= D= D= D=3 ... m.ananth@hotmail.ca
 real-numbers/360629: Wheel's Bicycle shop advertised a bicycle for 15% off for a savings of \$36. The bicycle did not sell, so it was offered at a new 20% discount off the sale price. a) What did the bicycle sell for regularly? this is where I was stuck, how to find the original price of the bike b) What is the amount of the new discount?1 solutions Answer 257370 by mananth(12270)   on 2010-10-24 09:09:10 (Show Source): You can put this solution on YOUR website!Wheel's Bicycle shop advertised a bicycle for 15% off for a savings of \$36. The bicycle did not sell, so it was offered at a new 20% discount off the sale price. when you get \$15 off the price is \$100 you got \$36 off so the price will be (36/15) *100 =\$240. 100 -20 240 ---? (240/100)*20 = \$48 is the discount ... m.ananth@hotmail.ca
 Rational-functions/360633: Simplify -4 sqrt (75)1 solutions Answer 257355 by mananth(12270)   on 2010-10-24 07:02:47 (Show Source): You can put this solution on YOUR website! ... m.ananth@hotmail.ca
 Expressions-with-variables/360416: Perform the indicated operations and simplify the following expressions: 2z-1/z^2+z-6 - 3z-5/z^2-2z-15 + 2z-3/z^2-7z+101 solutions Answer 257354 by mananth(12270)   on 2010-10-24 06:59:19 (Show Source): You can put this solution on YOUR website! .. LCM = (z-5)(z-2)(z+3) ... .. m.ananth@hotmail.ca
 Percentage-and-ratio-word-problems/360623: A store bought a number of tractors for \$800 each. Its regular selling price is \$1000.The store decides to discount the price to stimulate sales and to earn a minimum profit of 5%. What is the maximum discount rate? 1 solutions Answer 257353 by mananth(12270)   on 2010-10-24 06:21:03 (Show Source): You can put this solution on YOUR website!tractor cost \$800 5 % minimum profit so their profit 800/100*5= 40 .. profit now is \$200 minimum profit = 40 so discount to be offered = 160. ... 1000 discount 160 100 ---? 160*100/1000= 16% ... m.ananth@hotmail.ca
 Travel_Word_Problems/360619: train a is traveling at 60 mph and passes the train station at 2:10 pm. Train b is traveling at 80mph and passes the station at 2:22 pm. What time will train b catch up to train a? 1 solutions Answer 257352 by mananth(12270)   on 2010-10-24 06:15:36 (Show Source): You can put this solution on YOUR website!train a is traveling at 60 mph and passes the train station at 2:10 pm. Train b is traveling at 80mph and passes the station at 2:22 pm. What time will train b catch up to train a? .. train a - speed = 60 mph --- 2.10pm train b -speed = 80mph ----2.22pm ... time difference = 12 minutes .. in 12 minutes train A has traveled 1/5*60 =12 miles .. difference between speeds = 20 mph. train b catches up 20 mph. to catch up 12 miles it will take 12/20 = 3/5 hours 3/5 *60 = 36 minutes ... Add 36 minutes 2.22 it will catch up at 2.58 pm ... m.ananth@hotmail.ca
 Quadratic_Equations/360620: sowmya takes 6 days less than the no of days taken by Bhagya to complete a piece of work if both sowmya and bhagya together can complete the same work in 4 days in how many days wil bhagya alone complete the work1 solutions Answer 257351 by mananth(12270)   on 2010-10-24 06:10:57 (Show Source): You can put this solution on YOUR website!sowmya takes 6 days less than the no of days taken by Bhagya to complete a piece of work if both sowmya and bhagya together can complete the same work in 4 days in how many days wil bhagya alone complete the work .. let bhagya take x days sowmya takes x-6 days ... bhagya does 1/x of the job in 1 fday sowmya does 1/(x-6) of the job in 1 day. .. together they can do 1/x + 1/(x-6) =f the job in 1 day LCM = x(x-6) (x-6+x)/x(x-6) 2x-6/x(x-6) so they takes x(x-6)/2x-6 hours x^2-6x/(2x-6)=4 x^2-6x=4(2x-6) x^2-6x=8x-24 x^2-14x+24=0 x^2-12x-2x+24=0 x(x-12)-2(x-12)=0 (x-12)(x-2)=0 x= 12 days taken by bhagya alone m.ananth@hotmail.ca ..
 Miscellaneous_Word_Problems/360624: Todd agreed to work for his Dad for 20 days to get \$ 500 and an iPod. He worked for only 10 days and had to quit for some reason. He got \$ 200 and the iPod based on the amount of work done. How much was iPod valued?1 solutions Answer 257350 by mananth(12270)   on 2010-10-24 05:56:21 (Show Source): You can put this solution on YOUR website!d = days i=ipod 20d= 500+i...........1 10d=200+i............2 .. d=(500+i)/20 plug value in 2 10(500+i)/20=200+i 10(500+i)=20(200+i) 5000+10i=2000+20i 10i=3000 /10 i=300 cost of ipod = \$300 ... m.ananth@hotmail.ca
 Problems-with-consecutive-odd-even-integers/360625: The first of three increasing consecutive even numbers is 2n − 4. Express the last number in terms of n.1 solutions Answer 257349 by mananth(12270)   on 2010-10-24 05:46:37 (Show Source): You can put this solution on YOUR website!2n-4, add 2 2n-2 2n
 Age_Word_Problems/360618: I need to know how to write this equation in order to find the answer. If I am 48 and my grandson is 2 years old how old, in years, will I be when I am 3 times his age. I thought that I would just multiply by 3 but the professor said we do not do that to figure out the problem. I thought that maybe I would be 54 and he would be 16 but then it just did not look right. So I tried again and what I got today was I would be 60 and he would b3 4. I am so lost with this problem.1 solutions Answer 257344 by mananth(12270)   on 2010-10-24 04:13:24 (Show Source): You can put this solution on YOUR website!Let me be three times grandson's age after x years my age now = 48, grandson's age now =2 (48+x) / (2+x) = 3 48+x =3(2+x) 48+x=6+3x 48-6=3x-x 42=2x x= 21 -------- 21 years later My age = 48+21= 69 grandson's age = 2+21= 23 ... 69=23*3 ... m.ananth@hotmail.ca
 Age_Word_Problems/360617: This word problem is really bugging me can you solve it? A father is now 20 years older than his son. In 8 years the father will be 5 years more than twice the sons age. Find their present age1 solutions Answer 257340 by mananth(12270)   on 2010-10-24 04:00:35 (Show Source): You can put this solution on YOUR website!A father is now 20 years older than his son. In 8 years the father will be 5 years more than twice the sons age. Find their present age ... son = x father = x+20 ... after 8 years son = x+8 father x+20+8=x+28 .. x+28 = 2(x+8)+5 x+28=2x+16+5 x+28=2x+21 2x-x=28-21 x= 7 son's age now. Father's age now = x+20 = 27 years ... m.ananth@hotmail.ca
 Expressions-with-variables/360418: Perform the indicated operations and simplify the following expression: 6r^2-7r-3/r^2-1 / 4r^2-12r+9/r^2-1 x 2r^2-r-3/3r^2-2r-11 solutions Answer 257339 by mananth(12270)   on 2010-10-24 03:50:46 (Show Source): You can put this solution on YOUR website! ... ... m.ananth@hotmail.ca
 Quadratic_Equations/360428: 7x-11y=42 5x+55y=101 solutions Answer 257337 by mananth(12270)   on 2010-10-24 02:58:11 (Show Source): You can put this solution on YOUR website!7x-11y=42................1 5x+55y=10................2 ... multiply 1 by 5 35x-55y=210 add to 2 40x=220 /40 x=220/40 x=5.5 plug value of x in equation 1 y= -7/22 ... m.ananth@hotmail.ca
 Angles/360480: The measure of the complement of an angle is 20 less than the measure of the angle. Find the number of degrees in the angle.1 solutions Answer 257331 by mananth(12270)   on 2010-10-24 02:43:36 (Show Source): You can put this solution on YOUR website!The measure of the complement of an angle is 20 less than the measure of the angle. Find the number of degrees in the angle. let angle be x complement = 90-x ... 90-x= x-20 90+20=x+x 110=2x 110/2=x x= 55 deg. ... m.ananth@hotmail.ca
 Graphs/360437: Find the equation of the line given the slope and points. y = m = 2/3 (8, -2) I have tried working this, but always get confused when there are fractions included. This is what I have so far: y - ( -2) = 2/3(x-8) Ok. Now what happens with the y + 2 = 2/3(x -8 ) is it 2y. Please helpe try to figure this one.!!! Thank you for your continued assistance!1 solutions Answer 257330 by mananth(12270)   on 2010-10-24 02:37:46 (Show Source): You can put this solution on YOUR website!Find the equation of the line given the slope and points. y = m = 2/3 (8, -2) y - ( -2) = 2/3(x-8) y+2= 2/3* (x-8) 3(y+2)=2(x-8) 3y+6=2x-16 3y=2x-16-6 3y=2x-22 y=2x/3-(22/3) ... m.ananth@hotmail.ca
 test/360447: A total of 325 pieces are punched from a strip of stock that has a volume of 11.6 cubic centimeters. Each piece has a volume of 22.4 cubic millimeters. How many cubic centimeters of strip stock are wasted after the pieces are punched?1 solutions Answer 257327 by mananth(12270)   on 2010-10-24 02:27:14 (Show Source): You can put this solution on YOUR website!A total of 325 pieces are punched from strip of stock that has a volume of 11.6 cubic centimeters. Each piece has a volume of 22.4 cubic millimeters. How many cubic centimeters of strip stock are wasted after the pieces are punched? ... stock volume = 11.6 cu.cm 1cu.cm = 1000 cu.mm 11.6 cu.cm = 11600 cu.mm ... volume of piece = 22.4 cu.mm 325 pieces. volume used = 325 * 22.4 = 7280 cu.mm ... balance stock wasted = 11600-7280 = 4320 cu.mm /1000 =4.3 cu. cm ... m.ananth@hotmail.ca
 test/360440: A total of 325 pieces are punched from strip of stock that has a volume of 11.6 cubic centimeters. Each piece has a volume of 22.4 cubic millimeters. How many cubic centimeters of strip stock are wasted after the pieces are punched?1 solutions Answer 257325 by mananth(12270)   on 2010-10-24 02:24:24 (Show Source): You can put this solution on YOUR website!A total of 325 pieces are punched from strip of stock that has a volume of 11.6 cubic centimeters. Each piece has a volume of 22.4 cubic millimeters. How many cubic centimeters of strip stock are wasted after the pieces are punched? ... stock volume = 11.6 cu.cm 1cu.cm = 1000 cu.mm 11.6 cu.cm = 11600 cu.mm ... volume of piece = 22.4 cu.mm 325 pieces. volume used = 325 * 22.4 = 7280 cu.mm ... balance stock wasted = 11600-7280 = 4320 cu.mm /1000 =4.3 cu. cm ... m.ananth@hotmail.ca
 Miscellaneous_Word_Problems/360475: The perimeter of a rectangle is 52 inches. The length is 4 less than twice its width. Find the dimensions of the rectangle1 solutions Answer 257324 by mananth(12270)   on 2010-10-24 02:16:34 (Show Source): You can put this solution on YOUR website!The perimeter of a rectangle is 52 inches. The length is 4 less than twice its width. Find the dimensions of the rectangle ... let width be w length = 2w-4 .. P= 2*(l+W) P=2*(w+2w-4) P=2*(3w-4) P=6w-8 .. 6w-8=52 6w=62+8 6w=60 /6 w= 10 in. the width length = 2w-4 = 20-4=16 in. ... m.ananth@hotmail.ca
 Volume/360615: If the pipe is 9 inches across the top and about 12 inches tall, how many cubic inches of water could it hold?1 solutions Answer 257323 by mananth(12270)   on 2010-10-24 02:13:03 (Show Source): You can put this solution on YOUR website!If the pipe is 9 inches across the top and about 12 inches tall, how many cubic inches of water could it hold? .. radius = 9/2 = 4.5inches height = 12 inches .. Volume V = pi*r^2*h V= pi*4.5^2*12 V= 763 cu.in
 Miscellaneous_Word_Problems/360614: Mr. Blitzer has a planted a vegtable garden filled with chili pepper plants. He dug the garden bed long and narrow to measure 3 feet by 10 feet, so that he could tend more easily to his plants. He would like to build a brick patio of equal width surrounding the garden. The area that the bricks cover is 100 square feet. How wide should the patio measure?1 solutions Answer 257321 by mananth(12270)   on 2010-10-24 02:10:14 (Show Source): You can put this solution on YOUR website!width of garden = 3 length = 10 area = 30 ft^2 .. let the patio width be p total width will be 3+2p total length = 10+2p .. Area of patio = 100 ft^2 ... Total area = (10+2p)(3+2p) (10+2p)(3+2p)- 30 = 100 30+26p+4p^2-30=100 4p^2+26p-100=0 /2 2p^2+13p-50=0use quadratic formula discriminant = 569 p1=(-13+sqrt(562))/4 p1= 2.71 feet the width of patio ... p2= -9.2 negative so ignore .... m.ananth@hotmail.ca
 Graphs/360497: Write an eqaution in slope-intercept form for the line that passes through (-2,3)and parallel to the line with the equation 3x+2y=6. 1 solutions Answer 257317 by mananth(12270)   on 2010-10-24 01:58:21 (Show Source): You can put this solution on YOUR website!Write an eqaution in slope-intercept form for the line that passes through (-2,3)and parallel to the line with the equation 3x+2y=6. ... 3x+2y=6 2y=-3x+6 y=-3x/2+3 slope m = -3/2 ... line required is parallel so slope = -3/2 ... point (-2,3) find b 3=-2*-3/2+b 3=6/2+b 3=3+b b=0 ... y= -3x/2 ... m.ananth@hotmail.ca
 Average/360459: Average score of cricketer in 2 matches is 27 & in 3 others is 32. Then his average score in 5 matches is what?1 solutions Answer 257313 by mananth(12270)   on 2010-10-24 01:41:09 (Show Source): You can put this solution on YOUR website!Average score of cricketer in 2 matches is 27 & in 3 others is 32. Then his average score in 5 matches is what? ... Average score of cricketer in 2 matches is 27 total score = 54 in 3 others is 32. total score = 3*32=96 .. total score in all 5 matches = 96+54=150 number of matches = 5 average score = 150/5 = 30 Then his average score in 5 matches is 30 ... m.ananth@hotmail.ca