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 Expressions-with-variables/350049: 1 solutions Answer 250180 by mananth(12270)   on 2010-09-30 01:41:45 (Show Source):
 Inequalities/350042: please help me in this problem set! An organization wants to sell tickets to a concert. it plans on selling 300 reserved-seat tickets and 150 tickets at the door. the price of a reserved-seat ticket is to be \$2 more than a ticket at the door. if the organization wants to collect at least \$3,750, what is the maximum it can charge for a reserved-seat ticket?1 solutions Answer 250179 by mananth(12270)   on 2010-09-30 01:30:32 (Show Source): You can put this solution on YOUR website!300 reserved-seat tickets 150 tickets at the door. .. ticket at door be x price of a reserved-seat ticket is to be \$2 more = x+2 collection \$3,750, ... 150x+300(x+2)=3750 150x+300x+600=3750 450x=3750-600 450x=3150 x=\$ 70 at the door price reserved = \$ 72
 Travel_Word_Problems/350028: The speed of the freight train is 23 mph slower than that of a passenger train. The freight train travels 250 miles in the same time it takes the passenger train to travel 450 miles. Find the speed of the passenger train. 1 solutions Answer 250172 by mananth(12270)   on 2010-09-30 00:33:12 (Show Source): You can put this solution on YOUR website!freight train speed = x mph passenger train speed = x+23 mph .. distance by freight train = 250 miles distrance by passenger = 450 miles. .. Time taken by both = same .. 250/x = 450/(x+23) 250(x+23)=450x 250x+5750=450x 450x-250x=5750 200x = 5750 /200 x= 5750/200 x=28.75 mph freight train passenger train speed = 28.75+23=51.75mph
 Geometry_proofs/350026: Hello. I would like to know how to write a proof for this problem: Given: AC=AB, AC=4x+1, AB=6x-13 Prove: x=71 solutions Answer 250168 by mananth(12270)   on 2010-09-30 00:17:34 (Show Source): You can put this solution on YOUR website!AC=AB, AC=4x+1, AB=6x-13 4x+1=6x-13 6x-4x=13+1 2x=14 /2 x=7
 Proportions/350020: If Soc can paint 100 easter eggs in 165 minutes and Ngu can paint 100 easter eggs in 205 minutes and Fawn can paint 100 easter eggs in 120 minutes how long will it take for the three of them working together to paint 100 easter eggs ? 1 solutions Answer 250166 by mananth(12270)   on 2010-09-30 00:15:56 (Show Source): You can put this solution on YOUR website! Soc can paint 100 easter eggs in 165 minutes 1/165 of the job he does in 1 minute Ngu can paint 100 easter eggs in 205 minutes 1/205 of the job in 1 minute Fawn can paint 100 easter eggs in 120 minutes 1/120 of the job in 1 minute ... Together they will do 1/165 + 1/205 + 1/120 of the job in 1 minute 0.019 of the job in 1 minute. .. so for total job they will take 1/0.019 minutes 51.88 minutes
 Geometric_formulas/349983: the perimeter of a college basketball court is 96m and the lenght is 14m more than the width. what are the dimensions.1 solutions Answer 250165 by mananth(12270)   on 2010-09-30 00:07:25 (Show Source): You can put this solution on YOUR website!let width =x length = x+14 .. Perimeter = 96 = 2*(L+W) 96=2*(X+X+14) 96=2*(2x+14) 96=4x+28 96-28=4x 68=4x /4 68/4=x 17=x the width length = 17+14= 31m ... CHECK 17+17+31+31=96
 Angles/350011: the measure of one of two supplementary angles is 4 greater than 3 times the other. Find the measure of the larger angle1 solutions Answer 250162 by mananth(12270)   on 2010-09-30 00:00:14 (Show Source): You can put this solution on YOUR website!let angle be x supplement will be 180-x x=3(180-x)+4 x= 540-3x+4 x+3x=544 4x=544 x=136 deg the larger angle
 Mixture_Word_Problems/349990: The Denver Chemical Company wants to increase its 10% peroxide solution to a 28% solution by adding 100% peroxide. If Denver has 500 gallons its original 10% peroxide, how much pure peroxide must it add to obtain the new mixture?1 solutions Answer 250161 by mananth(12270)   on 2010-09-29 23:55:23 (Show Source): You can put this solution on YOUR website!10% peroxide solution 500 gallons 100% let it be x gallons to a 28% solution total = 500 +x gallons .. 0.1*500 +x = 0.28(500+x) 50+x =140+0.28x x-0.28x=140-50 0.72x=90 /0.72 x=90/0.72 125 gallons
 Rate-of-work-word-problems/350001: If bob can mow a lawn in 5 hours, and jim can mow the same lawn in 3 hours,how long will it take if they work together? 1 solutions Answer 250157 by mananth(12270)   on 2010-09-29 23:39:04 (Show Source): You can put this solution on YOUR website!Bob can do the job in 5 hours so he does 1/5 of the job in 1 hour. .. Jim does in 3 hours. he does 1/3 of the job in 1 hour. Together they do 1/3 + 1/5 of the job in 1 hour =8/15 of the job. so they will take 15/8 hours to do the job together. 1.87 hours
 Proportions/350002: The ratio of male students to female students at a certain university is 5 to 4. If there is a total of 6975 students, find the number of male students and the number of female students.1 solutions Answer 250153 by mananth(12270)   on 2010-09-29 23:35:34 (Show Source): You can put this solution on YOUR website!male to female = 5/4 total students = 6975 .. total parts = 5+4 = 9 ... Male students = 5/9 * 6975 = 3875 female = 4/9 * 6975 = 3100 ... CHECK 3875 + 3100 = 6975
 test/349998: S=180n-360 solve for N1 solutions Answer 250150 by mananth(12270)   on 2010-09-29 23:31:05 (Show Source): You can put this solution on YOUR website!S=180n-360 add 360 to both sides s+360 = 180n-360+360 s+360=180n divide by 180 (s+360)/180 = 180n/180 s/180 + 360 / 180 = n s/180 + 2 = n
 Age_Word_Problems/349994: Zelma is eighteen years older than her son. She was three times as oldas he was one year ago. How old are they now? 1 solutions Answer 250149 by mananth(12270)   on 2010-09-29 23:26:54 (Show Source): You can put this solution on YOUR website!let son be x years Zelma = x+18 .. 1 year ago son was x-1 years Zelma was x+18-1 = x+17 years .. x+17 = 3(x-1) x+17 = 3x-3 3x-x =17+3 2x=20 /2 x=10 son's age Zelma = 10 + 18 = 28 years.
 Geometry_Word_Problems/349989: A landscaper, who just completed a rectangular flower garden measuring 6 feet by 10 feet, orders 1 cubic yard of premixed cement, all of which is to be used to create a border of uniform width around the garden. If the border is to have a depth of 3 inches, how wide will the border be?1 solutions Answer 250148 by mananth(12270)   on 2010-09-29 23:21:57 (Show Source): You can put this solution on YOUR website!garden = 6ft by 10ft. Area of garden = 60 sq. ft. 1 cu. yard = 3*3*3 = 27 cu.ft .. The volume of concrete border = 27cu.ft. the thickness = 3 inches. = 3/12 ft = 1/4 ft. ... volume of concrete = L*W*H L*W= volume / height volume = 27cu.ft height or thickness = 3in. Area of the border = 27/(1/4 ) L*W= 27*4/1 = 108 sq. inches. .. area of garden + area of border = 60+108 = 168 sq.ft let width of border be x feet. increase in length & width =2x (6+2x)(10+2x)= 168 sq. ft 60+12x+20x+4x^2=168 4x^2+32x+60-168 =0 4x^2+32x-108=0 /4 x^2+8x-27 =0 solve by quadratic formula you get x = 2.56 feet. The width will be 2.56 feet
 Proportions/349987: A saltwater solution is made by dissolving 3 pounds of salt in 10 gallons of water. At this rate, how many pounds of salt are needed for 25 gallons of water.1 solutions Answer 250145 by mananth(12270)   on 2010-09-29 22:58:27 (Show Source): You can put this solution on YOUR website!let salt required be x 3/10 = x/25 x=3*25/10 x=7.5 lbs. of salt
 Geometry_Word_Problems/349986: A homeowner is covering his patio with carpet squares, the area of the patio is 100 feet square, if each carpet square measures 8 inches by 8 inches, how many squares will it take to cover the patio?1 solutions Answer 250144 by mananth(12270)   on 2010-09-29 22:56:25 (Show Source): You can put this solution on YOUR website!Area of patio = 100 sq.ft square carper is 8 by 8 inches .. since area of patio is in sq. ft. convert the length of carpet to feet. 8" = 8/12 feet =3/4 ft. area of carpet = 3/4 * 3/4 = 9/16 sq.ft. number of carpet squares = area of aptio/area of carpet squares 100 / (9/16) 100*16/9 =1600/9 =225 squares
 Radicals/349918: The hypotenuse of an isosceles right triangle is 16 centimeters. Find the length of the two other sides of the triangle to the nearest tenth.1 solutions Answer 250094 by mananth(12270)   on 2010-09-29 21:15:35 (Show Source): You can put this solution on YOUR website!let each leg be x cm .. x^2+x^2= 16^2 2x^2=256 /2 x^2= 128 x= sqrt 128 x=8sqrt2
 Geometry_Word_Problems/349920: If you cut out the largest possible circular pie crust for a square piece of dough that is "d" inches on a side, what is the area of the remaining dough? Express your answer as polynomial in "d".1 solutions Answer 250093 by mananth(12270)   on 2010-09-29 21:11:04 (Show Source): You can put this solution on YOUR website!area of square piece = d*d= d^2 ... area of circle = pi*r^2 where r= radius. .... diameter = d radius = d/2 area = pi(d/2 )^2 area = pi*d^2/4 .. remaining area = area of square - arae of circle d^2- pi*d^2/4
 Mixture_Word_Problems/349919: Roger's age is 1 1/3 times Steven's age. Eight years ago, Roger's age was twice Steven's age. Find Roger's age.1 solutions Answer 250090 by mananth(12270)   on 2010-09-29 21:05:06 (Show Source): You can put this solution on YOUR website!let steven's age be x roger's age = 1 1/3 times stevens age. =4/3 times = 4x/3 ... 8 years ago steven's age = x-8 roger's age = 4x/3 - 8 ... 4x/3 -8 = 2(x-8) (4x-24)/3 = 2x-16 x3 4x-24=3(2x-16) 4x-24=6x-48 6x-4x=48-24 2x=24 x=12 steven's age Roger = 4/3 * 12 =16 years
 Linear-systems/349921: the slope of -3 and contains the point (o,3)1 solutions Answer 250089 by mananth(12270)   on 2010-09-29 20:59:34 (Show Source): You can put this solution on YOUR website!I presume you have to write the equation. the slope of -3 and contains the point (o,3) .. y=mx+b .. plug values of m,x,y to get b 3=0+b b=3 y=-3x+3
 Expressions-with-variables/349932: 4/49 = x^21 solutions Answer 250088 by mananth(12270)   on 2010-09-29 20:57:01 (Show Source): You can put this solution on YOUR website! squareroot on both sides
 Miscellaneous_Word_Problems/349928: At the park, I saw boys and dogs. I saw thirty two heads and 104 legs. How many were dogs and how many boys? Which equations did you use? I got 12 boys and 20 dogs by trial and error but I know that there must be some equations to solve. Please help. Thank you.1 solutions Answer 250087 by mananth(12270)   on 2010-09-29 20:54:22 (Show Source): You can put this solution on YOUR website!total 104 legs 32 heads .. let there be x boys & y dogs .. 2x+4y=104..................1 x+y=32......................2 multiply equation 2 by -2 and add it to equation 1 -2x-2y=-64 add 4y-2y=104-64 2y=40 y=20 dogs 32-20= 12 boys ... 12*2+20*4=104
 Angles/349927: the difference between two supplementary angles is 42 degrees find the obtuse angle1 solutions Answer 250085 by mananth(12270)   on 2010-09-29 20:49:25 (Show Source): You can put this solution on YOUR website!let the angle be x supplement will be 180-x ... x-(180-x)=42 x-180+x=42 2x=180+42 2x=222 x= 111 deg
 Polynomials-and-rational-expressions/349924: x / 3 = (x / 2) - 2 1 solutions Answer 250084 by mananth(12270)   on 2010-09-29 20:46:50 (Show Source): You can put this solution on YOUR website!x/3 - x/2 = -2 LCM 6 (2x-3x)/6= -2 x6 -x=-2*6 -x=-12 /1 x=12 ...
 Quadratic_Equations/349560: The area of a rectangular banner should be 6.75m^2. If the length is to be thrice the width, what are its dimensions? (Show your solution)1 solutions Answer 249845 by mananth(12270)   on 2010-09-29 06:42:29 (Show Source): You can put this solution on YOUR website!let width be x length = 3x .. Area = L*W area = x*3x 3x^2 = 6.75 m^2 /3 x^2= 6.75/3 x^2= 2.25 x= 1.5 m the width ... Length = 3x 3* 1.5 = 4.5 m Check 1.5*4.5= 6.75 sq.m
 Linear_Equations_And_Systems_Word_Problems/349566: There are 64 coins that equal \$9.25. How many are dimes and how many are quaters?1 solutions Answer 249844 by mananth(12270)   on 2010-09-29 06:37:26 (Show Source): You can put this solution on YOUR website!let dimes be x quarters will be 64-x .. their value = 925 cents 10x+25(64-x)=925 10x+1600-25x=925 -15x=925-1600 -15x=-675 /-15 x=-675/-15 x=45 dimes .. 75 - 45=30 quarters
 Surface-area/349561: the length of a rectangle is 7 more than the width. the area is 330 square centimeters. find the length and the width of the rectangle.1 solutions Answer 249843 by mananth(12270)   on 2010-09-29 06:33:55 (Show Source): You can put this solution on YOUR website!let width be x length =x+7 .. Area = L*W x(x+7)=330 x^2+7x=330 x^2+7x-330=0 x^2+22x-15x-330=0 x(x+22)-15(x+22)=0 (x+22)(x-15)=0 x= 15 is the width. length = x+7 = 22
 Numbers_Word_Problems/349562: One number is 800 less than three times the other, and their sum is 1200. Find the numbers. Please show me the solutions. As simplify as it can be...1 solutions Answer 249842 by mananth(12270)   on 2010-09-29 06:30:01 (Show Source): You can put this solution on YOUR website!let one number be x the other number will be 1200-x. ( Because the sum of both is 1200) .. one number is 800 less than the 3 times the other. The other number is 1200-x 3 times other = 3(1200-x) less 800 = 3(1200-x) -800 x=3(1200-x)-800 x=3600-3x-800 x+3x= 2400 4x = 2400 divide by 4 x= 2400/4 x=600 if one number is 600, then other is 1200-x=600.
 Circles/349563: pq and rs are two parallel horizontal chords 6 cm and 8 cm long in the upper half of a circle.if the radius of the circle is 5cm . the distance in cm between the chords is A 1 B 2 C 3 D 41 solutions Answer 249840 by mananth(12270)   on 2010-09-29 06:23:47 (Show Source): You can put this solution on YOUR website!The radius bisects the chord. The chords are of length 8 & 6. The radius,perpendicular distance from center to chord and the chord form a right triangle. Apply pythagorean formula for both triangles Radius is the hypotenuse. 5^2-4^2 25-16=9 sqrt9 = 3 .... 5^2-3^2 25-9=16 sqrt16=4 the distance between the chords = 1 in.
 Linear_Equations_And_Systems_Word_Problems/349540: A student walks and jogs to school every day. She averages 4km/hour walking and 8km/hour jogging. The distance from home to school is 6km and the trip takes one hour. How far does the student walk.1 solutions Answer 249825 by mananth(12270)   on 2010-09-29 00:58:09 (Show Source): You can put this solution on YOUR website!walk = 4kph jog 8 kph .. distance to school = 6 km. let her walk x km she will jog 6-x km .. Time walking = x/4 Time jogging = 6-x / 8 ... Total time = 1 hour x/4 + (6-x)/8 =1 LCD = 8 (2x+6-x) / 8 =1 x+6 = 8 x= 2 km walking distance
 Distributive-associative-commutative-properties/349541: If a person is walking 6 miles per hour and another is riding a bike 12 MPH how far apart will they be after 10 minutes. Assuming they start next to each other and head in opposite directions. Having trouble writing the equation.1 solutions Answer 249824 by mananth(12270)   on 2010-09-29 00:47:48 (Show Source): You can put this solution on YOUR website!walk speed = 6mph cycling = 12mph they are going in opposite directions so effective speed = 12+6 = 18 mph. time = 10 minutes = 10/60 = 1/6 hour .. Distance = speed * time Distance = 18*1/6 = 3 miles apart
 Numbers_Word_Problems/349536: One number is one more than twice another number. The sum of the two squares of the two numbers is 97. I need to find the numbers... can you help?1 solutions Answer 249822 by mananth(12270)   on 2010-09-28 23:46:54 (Show Source): You can put this solution on YOUR website!LET ONENUMBER BE X THE OTHER NUMBER = 2X+1 ... x^2+(2x+1)^2=97 x^2+4x^2+4x+1=97 5x^2+4x-96=0 5x^2+4x-96=0 5x^2-20x +24x-96=0 5x(x-4)+24(x-4)=0 (x-4)(5x+24)=0 x=4 OR -24/5 ... 4 &9 -4.8, -8.6