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# Recent problems solved by 'checkley77'

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 Square-cubic-other-roots/322078: Square root addition Simplify. -square root 20-5 square root 451 solutions Answer 230618 by checkley77(12569)   on 2010-07-13 18:07:02 (Show Source): You can put this solution on YOUR website!-square root 20-5 square root 45 -sqrt(4*5)-5sqrt9*5 -2sqrt5-5*3sqrt5 -2sqrt5-15sqrt5 -17sqrt5 ans.
 Evaluation_Word_Problems/322087: A country has 221 mobile cellular telephones per 250 inhabitants. If the country's population is about 2,800,000 how many mobile cellular telephones does the country have? In your own words, using complete sentences solve the problem.1 solutions Answer 230617 by checkley77(12569)   on 2010-07-13 18:04:17 (Show Source): You can put this solution on YOUR website!221 divided by 250 equals (.884). .884 times 2,800,000 equals (2,475,200) people who own cellphones.
 Linear_Equations_And_Systems_Word_Problems/322102: Hi, I cannot remember the formula for a problem of this nature. Can anyone help. A person has invested part of \$27000 in a fund that paid 9% and the rest in a stock that suffered a 5% loss, I love that hidden message. Find the amount of each investment if the overall net profit was 1730.00. Thanks in advance.1 solutions Answer 230604 by checkley77(12569)   on 2010-07-13 17:30:41 (Show Source): You can put this solution on YOUR website!.09x-.05(27,000-x)=1,730 .09x-1,350+.05x=1,730 .14x=1,730+1,350 .14x=3,080 x=3,080/.14 x=\$22,000 ans. for the 9% investment. 27,000-22,000=5,000 ans. for the 5% investment. Proof: .09*22,000-.05*5,000=1,730 1,980-250=1,730 1,730=1,750
 expressions/322103: This is basic, but I want to know the logic/rules at each step to know how how arrive at the answer: (X * 1.81267) + X = 6001 solutions Answer 230601 by checkley77(12569)   on 2010-07-13 17:14:02 (Show Source): You can put this solution on YOUR website!(X * 1.81267) + X = 600 multiply x by 1.81267 1.81267x+x=600 add the x values 2.81267x=600 divide by 2.81267 x=600/2.81267 x=213.32 ans. Proof: 213.32*1.81267+213.32=600 386.679+213.32=600 600~600
 Travel_Word_Problems/322107: you are driving 65 mi/h and take your eyes off the road for just a second what distance in feet do you travel in this time.1 solutions Answer 230598 by checkley77(12569)   on 2010-07-13 17:05:14 (Show Source): You can put this solution on YOUR website!65mph=65*5,280/3600=95.33 ft/sec.
 Surface-area/322109: Evan is painting a stool that has a cylindrical seat and four rectangular prism legs. The seat has a diameter of 8 inches and a height of 2 inches. Each leg is 2 inches by 2 inches by [ ] inches. How much area will Evan have to paint?1 solutions Answer 230596 by checkley77(12569)   on 2010-07-13 16:58:03 (Show Source): You can put this solution on YOUR website!You're missing the third measurement of the leg. Add & resubmit.
 Linear_Equations_And_Systems_Word_Problems/322113: To make a special mix for Valentine’s Day, the owner of a candy store wants to combine chocolate hearts that sell for \$5 per pound with candy kisses that sell for \$3.50 per pound. How many pounds of each kind should be used to get 30 pounds of a mix that can be sold for \$4.50 per pound? 1 solutions Answer 230595 by checkley77(12569)   on 2010-07-13 16:55:37 (Show Source): You can put this solution on YOUR website!5X+3.50(30-X)=30*4.5 5X+105-3.50X=135 1.5X=135-105 1.5X=30 X=30/1.5 X=20 LBS. OF HEARTS. 30--20=10 LBS. OF KISSES. PROOF: 5*20+3.5*10=30*4.5 100+35=135 135=135
 Travel_Word_Problems/322116: 2 cars leave city x one at 60mph and the other at 10 mph faster. a.If they go in opposite directions, how long before they are 500 miles apart? b. if they go in the same direction how long before 500 mi apart? 1 solutions Answer 230592 by checkley77(12569)   on 2010-07-13 16:50:09 (Show Source): You can put this solution on YOUR website!D=RT 500=60T+(60+10)T 500=60T+70T 130T=500 T=500/130 T=500/130 T=3.846 HOURS ANS. ----------------------- D=(60+10)T-60T 500=70T-60T 500=10T T=500/10=50 HOURS ANS.
 Quadratic_Equations/322129: v^2=12v-241 solutions Answer 230590 by checkley77(12569)   on 2010-07-13 16:44:23 (Show Source): You can put this solution on YOUR website!v^2=12v-24 v^2-12v+24=0 v=(12=-sqrt-12^2-4*1*24])/2*1 v=(12+-sqrt144-96])/2 v=(12+-sqrt48)/2 v=(12+-6.9282)/2 v=(12+6.9282)/2 v=18.9282/2 v=9.4641 ans. v=(12-6.9282)/2 v=5.0718/2 v=2.536 ans.
 Quadratic_Equations/322130: x^2+x+=01 solutions Answer 230588 by checkley77(12569)   on 2010-07-13 16:35:22 (Show Source): You can put this solution on YOUR website!x^2+x+=0 x(x+1)=0 x=0 ans. x+1=0 x=-1 ans.
 Quadratic_Equations/322132: y^4+y^2-36=01 solutions Answer 230587 by checkley77(12569)   on 2010-07-13 16:33:45 (Show Source): You can put this solution on YOUR website!y^4+y^2-36=0 y^2=(-1+-sqrt1^2-4*1*-36])/2*1 y^2=(-1+-sqrt[1+144])/2 y^2=(-1+-sqrt145)/2 y^2=-1+-12.0416)/2 y^2=(-1+12.0416)/2 y^2=11.0416/2 y^2=5.52 y=sqrt5.52 y=2.35 ans. y^2=(-1-12.0416)/2 y^2=-13.0416/2 y^2=--6.52 y=sqrt-6.52 y=2.55i ans.
 Miscellaneous_Word_Problems/321464: 21. The polynomial 0.14-0.018a-2.69 can be used to estimate the lung capacity, in liters, of a female with height h, in centimeters, and age a, in years. Find the lung capacity of a 40-year-old woman who is 160 centimeters tall. 1 solutions Answer 230228 by checkley77(12569)   on 2010-07-11 17:28:19 (Show Source): You can put this solution on YOUR website!WEhere is the (h) item in the equation? Add & resubmit. 0.14-0.018a-2.69
 Equations/321467: Can you give me the formula and help me to answer the follwoing question: Find the following sum 35-36-37-38....145-145-1501 solutions Answer 230226 by checkley77(12569)   on 2010-07-11 17:23:19 (Show Source): You can put this solution on YOUR website!Sum=n/2(a+L) n=the number of values. a=the first value L=the last value. Sum=(150-38)/2*(35+150) Sum=112/2*185 Sum=56*185=10,360 ans.
 Equations/321468: Please help me answer by finding the sum of the following sequence of numbers: 2+4+6+8+.......296+298+300 Thanks in advance 1 solutions Answer 230224 by checkley77(12569)   on 2010-07-11 17:18:00 (Show Source): You can put this solution on YOUR website!Sum=n/2(a+L)=150/2(2+300)=75*302=22,650 ans.
 Evaluation_Word_Problems/321434: Suppose a market research company finds that at a price of p=\$20, they would sell x=42 tiles each month. If they lower the price to p=\$10, then more people would purchase the tile, and they can expect to sell x=52 tiles in a month's time. Find the equation of the line for the demand equation. Write your answer in the form p=mx+b.1 solutions Answer 230223 by checkley77(12569)   on 2010-07-11 17:02:04 (Show Source): You can put this solution on YOUR website!(20,42) & (10,52) Y=mX+b m=slope=(Y2-Y1)/(x2-X1)=(52-42)/(10-20)=10/-10=-1 is the slope. 42=-1*20+b 42=-20+b b=42+20 b=62 Y=-X+63 is the line equation. (graph 300x200 pixels, x from -6 to 75, y from -10 to 70, -x +63).
 Linear_Equations_And_Systems_Word_Problems/321450: store orders 42 calculators, and pays \$10 for scientific, and \$54 for graphing. How many of each were ordered? 1 solutions Answer 230221 by checkley77(12569)   on 2010-07-11 16:54:11 (Show Source): You can put this solution on YOUR website!Need to know either the total price paid OR the number of scientific or graphing calculators ordered.
 test/321451: Bobby can exert a force of 190 Ib. How heavy a rock can he lift if he uses a bar that is 6 feet long and places the fulcrum so that it is 9 inches from the rock?1 solutions Answer 230220 by checkley77(12569)   on 2010-07-11 16:50:26 (Show Source): You can put this solution on YOUR website!190*5.25=.75x 997.5=.75x x=997.5/.75 x=1,330 lbs. ans. for the amount of force to lift the rock.
 Quadratic_Equations/321460: Give exact and approximate solutions to three decimal places. (x-12)^2=201 solutions Answer 230219 by checkley77(12569)   on 2010-07-11 16:42:21 (Show Source): You can put this solution on YOUR website!(x-12)^2=20 x^2-24x+144=20 x^2-24x+144-20=0 x^2-24x+124=0 Approximate values 16 & 8. x=(24+-sqrt[-24-4*1*124])/281 x=(24+-sqrt[576-496])/2 x=(24+-sqrt80)/2 x=(24+-8.944)/2 x=24+8.944)/2 x=32.994/2 x=16.472 ans. x=(24-8.944)/2 x=15.056/2 x=7.528 ans.
 Triangles/321396: If the hypotenuse of a right triangle is 30 cm long and one leg is twice as long as the other, how long are the legs of the triangle?1 solutions Answer 230218 by checkley77(12569)   on 2010-07-11 16:28:55 (Show Source): You can put this solution on YOUR website!a^2+b^2=c^2 a^2+(2a)^2=30^2 a^2+4a^2=900 5a^2=900 a^2=900/5 a^2=180 a=sqrt180 a=13.4164 ans. for the short leg. 2*13.4164=26.8328 ans. for the long leg. Proof 13.4164^2+26.8328^2=900 180+720=900 900=900
 Expressions-with-variables/321398: the volume of a cube is given by V=s^3, where s is the length of a side. find the length of a side of a cube if the volume is 500 ml^3. round the answer to 3 decimal places.1 solutions Answer 230217 by checkley77(12569)   on 2010-07-11 16:23:15 (Show Source): You can put this solution on YOUR website!V=s^3 500=s^3 c^3=500 s=cubert500 s=7.937 ans.
 test/321401: 2[x-(2-3x)-4=x-51 solutions Answer 230216 by checkley77(12569)   on 2010-07-11 16:20:08 (Show Source): You can put this solution on YOUR website!You're missing a closing (]) please add and resubmit. 2[x-(2-3x)-4=x-5
 expressions/321407: (-2B^2/a^3)^21 solutions Answer 230215 by checkley77(12569)   on 2010-07-11 16:17:44 (Show Source): You can put this solution on YOUR website!(-2B^2/a^3)^2 4B^4/a^6 ans.
 Equations/321415: The answer is 3... but the question is (8/x-2)-(13/2)= (3/2x-4) the (/) is a fraction, best I could put it. example.. 8 over x-2 then - 13 over 2= 3 over 2x-4... can you help me work the problem I already know the answer i just need help going thur how I got it. Thanks so much 1 solutions Answer 230214 by checkley77(12569)   on 2010-07-11 16:14:00 (Show Source): You can put this solution on YOUR website!(8/x-2)-(13/2)= (3/2x-4) 8/(x-2)-13/2=3/(2x-4) 8/(x-2)-3/2(x-2)=6.5 (8*2-3)/2(x-2)=6.5 (16-3)/2(x-2)=6.5 13=6.5*2(x-2) 13=13x-26 13x=13+26 13x=39 x=39/13 x=3 ans.
 Evaluation_Word_Problems/321420: norman and suzanne own 38 shares of a fast food restaurant stock and 64 shares of a toy company stock. at the close of the markets on a particular day in 2004, their stock portfolio consisting of these two stocks was worth \$1779. the closing price of the fast food restaurant was \$24 more per share than the closing price of the toy company stock on that day. what was the closing price of each stock on that day?1 solutions Answer 230213 by checkley77(12569)   on 2010-07-11 16:04:16 (Show Source): You can put this solution on YOUR website!38(x+24)+64x=1,779 38x+912+64x=1,779 102x=1,779-912 102x=867 x=867/102 x=8.50 ans. for the value of the toy company stock. 8.50+24=32.50 ans. for the value of the fast food stock. Proof: 38*32.50+64*8.50=1,779 1,235+544=1,779 1,779=1,779
 Polynomials-and-rational-expressions/321422: factor completely or state that the polynomial is prime: 10x2-14x-121 solutions Answer 230212 by checkley77(12569)   on 2010-07-11 15:56:59 (Show Source): You can put this solution on YOUR website!10x2-14x-12 (2x-4)(5x+3) ans.
 Probability-and-statistics/321435: What is the probability of rolling a sum of 12 with one throw of a pair of dice? A) 1/36 B) 1/6 C) 5/36 D) 7/36 E) 1/31 solutions Answer 230211 by checkley77(12569)   on 2010-07-11 15:51:35 (Show Source): You can put this solution on YOUR website!1/6*1/6=1/36 ANS. A)
 Geometry_Word_Problems/321437: Mathilda has used square tiles to completely cover a rectangular surface of 81 cm by 72 cm. What is the length of the side of the smallest tile she has used?1 solutions Answer 230210 by checkley77(12569)   on 2010-07-11 15:50:09 (Show Source): You can put this solution on YOUR website!72*81=5,832 CM^2 IS THE TOTAL AREA. 3*3*3*3=81 3*3*2*2*2=72 THUS 3*3=9 CM^2 IS THE LARGEST SQUARE TILE THAT WILL COVER THE FLOOR. 5,832/9=648 TILES. 1.5*1.5=2.25 CM^2 TILES WILL ALSO COVER THE FLOOR. 5,832/2.25=2,592 TILES. 1*1=1 CM^2 TILES WILL ALSO COVER THE FLOOR 5,832/1=5,832 TILES. AND THERE ARE MANY SMALLER TILES THAT WILL ALSO COVER THE FLOOR. .75*.75 CM^2, .5*.5 CM^2, .25*.25 CM^2, .1*.1 CM^2, .01*.01 CM^2 ETC.
 Rectangles/321439: The perimeter of a rectangle is 144m. The length is 3m more than twice the width. Find the dimensions. 1 solutions Answer 230206 by checkley77(12569)   on 2010-07-11 15:26:23 (Show Source): You can put this solution on YOUR website!L=2W+3 2L+2W=P 2(2W+3)+2W=144 4W+6+2W=144 6W=144-6 6W=138 W=138/6 W=23 ANS. FOR THE WIDTH. L=2*23+3=46+3=49 ANS. FOR THE LENGTH. PROOF: 2*49+2*23=144 98+46=144 144=144
 Miscellaneous_Word_Problems/321445: a 136-inch pipe is cut into two pieces. one piece is three times the length of the other. find the lengths of the two pieces1 solutions Answer 230205 by checkley77(12569)   on 2010-07-11 15:20:48 (Show Source): You can put this solution on YOUR website!x+3x=136 4x=136 x=136/4 x=34 inches for the shorter piece. 3*34=102 inches for the longer piece. Proof: 34+102=136 136=136
 Travel_Word_Problems/321118: Two buses leave towns apart at the same time and travel toward each other. One bus travels slower than the other. If they meet in hours, what is the rate of each bus1 solutions Answer 230101 by checkley77(12569)   on 2010-07-10 19:00:17 (Show Source): You can put this solution on YOUR website!NOT ENOUGH INFORMATION TO SOLVE. NEED DISTANCE, RATE OR TIME FIGURES. D=RT
 Miscellaneous_Word_Problems/321130: An empty 5-gal water jug weighs 0.75 lb. with 3 c of water inside, the jug weighs 2.25 lb. predict the weight of the jug with 5 c of water inside1 solutions Answer 230100 by checkley77(12569)   on 2010-07-10 18:57:57 (Show Source): You can put this solution on YOUR website!.75+3C=2.25 3C=2/25-.75 3C=1.5 C=1.5/3 C=.5 LBS. .75+5*.5=.75+2.25=3 LBS. FOR THE JUG WITH 5 C OF WATER.