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# Recent problems solved by 'checkley77'

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 Triangles/243646: In an isoscele triangle, the length of one of the equal sides is three times the length of the third side. the perimeter is 21m. find the length of each side.1 solutions Answer 178490 by checkley77(12569)   on 2009-11-29 18:21:42 (Show Source): You can put this solution on YOUR website!2*3X+X=21 6X=X=21 7X=21 X=21/7 X=3 LENGTH OF THE THIRD SIDE. 3*3=9 ANS. LENGTH OF THE EQUAL SIDES. PROOF: 2*9+3=21 18+3=21 21=21
 Circles/243651: Find the radius of a circle that has an area of 25π yd(squared)1 solutions Answer 178488 by checkley77(12569)   on 2009-11-29 18:18:00 (Show Source): You can put this solution on YOUR website!AREA=PI*R^2 FORMULA FOR AREA OF CIRCLE. PI*25=PI*R^2 25=R^2 R=SQRT25 R=5 YDS. ANS. FOR THE RADIUS OF THE CIRCLE.
 Coordinate-system/243653: find the coordinates of -x+3y=12, and 4x+3y=12 if x=31 solutions Answer 178481 by checkley77(12569)   on 2009-11-29 18:04:30 (Show Source): You can put this solution on YOUR website! what are the coordinates of -x+3y=12, and 4x+3y=12 if x=3 -x+3y=12 -3+3Y=12 3Y=12+3 3Y=15 Y=15/3 Y=5 ANS. (3,5) ----------------------- 4x+3y=12 4*3+3Y=12 12+3Y=12 3Y=12-12 3Y=0 Y=0 ANS. (3,0)
 Coordinate-system/243654: what are the coordinates of -x+3y=12, and 4x+3y=12 if x=31 solutions Answer 178480 by checkley77(12569)   on 2009-11-29 18:02:18 (Show Source): You can put this solution on YOUR website!if x=3 WHAT ARE THE COORDINATES.? -x+3y=12 -3+3Y=12 3Y=12+3 3Y=15 Y=15/3 Y=5 ANS. (3,5) 4x+3y=12 4*3+3Y=12 12+3Y=12 3Y=12-12 3Y=0 Y=0 ANS. (3,0)
 Points-lines-and-rays/243534: how do i find the perimeter of a triangle whose coordinates are A(-6,2),B(-3,6),and C(5,0) ?1 solutions Answer 178477 by checkley77(12569)   on 2009-11-29 17:57:30 (Show Source): You can put this solution on YOUR website!A(-6,2),B(-3,6),and C(5,0) ? D=SQRT[(X2-X1)^2+(Y2-Y1)^2] D=SQRT(-3+6)^2+(6-2)^2=SQRT(3^3+4^2)=SQRT(9+16)=SQRT25=5 ANS. A TO B. D=SQRT(5+3)^2+(0-6)^2=SQRT(8^2-6^2)=SQRT(64+36)=SQRT100=10 ANS. B TO C. D=SQRT(5+6)^2+(0-2)^2=SQRT(11^2-2^2)=SQRT(121+4)=SQRT125=11.18 ANS. C TO A. 5+10+11.18=26.18 ANS. FOR THE PERIMETER.
 Quadratic_Equations/243535: Please answer this question: You have a pool that measures 8 yards by 10 yards. You want to build a deck around all four siddes of the pool and you want to increase the total area to 120 square yards. The deck is the same width on both sides forming a perfect rectangle. What is the width of the deck? 1 solutions Answer 178472 by checkley77(12569)   on 2009-11-29 17:44:08 (Show Source): You can put this solution on YOUR website!8*10=80 yds^62 is the area of the pool. (8+2x)(10+2x)=120 80+20x+16x+4x^2=120 4x^2+36x+80-120=0 4x^2+36x-40=0 4(x^2+9x-10)=0 4(x+10)(x-1)=0 x-1=0 x=1 yd. is the width of the deck. Proof: (8+2*1)(10+2*1)=120 (8+2)(10+2)=120 10*12=120 120=120
 Expressions-with-variables/243536: Solve the system of equations by graphing. Then classify the system. 3u+v=6 3u=v+121 solutions Answer 178466 by checkley77(12569)   on 2009-11-29 17:35:32 (Show Source): You can put this solution on YOUR website!3u+v=6 3x+y=6 y=-3x+6 (red line) 3u=v+12 3x=y+12 y=3x-12 (green line) (graph 300x200 pixels, x from -6 to 5, y from -10 to 15, of TWO functions -3x +6 and 3x -12). These 2 equations are independent (exactly 1 solution).
 Linear_Equations_And_Systems_Word_Problems/243537: The Village Inn offers two special packages. For two nights and three meals the cost is \$158. For two nights and five meals the cost is \$181. Write and solve a system of linear equations to find the costs per night and per meal.1 solutions Answer 178457 by checkley77(12569)   on 2009-11-29 17:19:28 (Show Source): You can put this solution on YOUR website!2n+3m=158 -(2n+5m=181) subtract. ------------------- -2m=-23 m=-23/-2 m=\$11.50 cost of a meal. 2n+3*11.50=158 2n+34.50=158 2n=158-34.50 2n=123.50 n=123.50/2 n=\$61.75 cost of a nights lodging. Proof: 2*61.75+5*11.50=181 123.50+57.50=181 181=181
 Miscellaneous_Word_Problems/243558: The total US consumption of ice cream in 2006 was 1.55 * 10^9 gallons. At the time, the US population was 300,000,000 people. Calculate the approximate average number of gallons of ice cream each person ate that year.1 solutions Answer 178455 by checkley77(12569)   on 2009-11-29 17:10:08 (Show Source): You can put this solution on YOUR website!1.55*10^9/3*10^8 15.5*10^8/3*10^8 15.5/3=5.1667 gal. per person.
 Quadratic_Equations/243559: 1 solutions Answer 178454 by checkley77(12569)   on 2009-11-29 17:06:03 (Show Source): You can put this solution on YOUR website!You forgot to include the quadratic equation!
 Rectangles/243561: The perimeter of a rectangle is 800 feet, and length of it is 50 feet less than half the width. What are it's dimensions?1 solutions Answer 178453 by checkley77(12569)   on 2009-11-29 17:04:26 (Show Source): You can put this solution on YOUR website!L=W/2-50 P=2L+2W 800=2(W/2-50)+2W 800=W-100+2W 800+100=3W 900=3W 900/3=W 3OO=W ANS. FOR THE WIDTH. L=300/2-50 L=150-50 L=100 ANS. FOR THE LENGTH. PROOF: 800=2*100+2*300 800=200+600 800=800
 Travel_Word_Problems/243576: a motorboat took 2 hours to make a downstream trip with a 5mph current. The return trip against the same current took 4 hours. Find the speed of the boat in still water.1 solutions Answer 178444 by checkley77(12569)   on 2009-11-29 16:36:30 (Show Source): You can put this solution on YOUR website!D=RT D=(X+5)*2 D=(X-5)*4 (X+5)*2=(X-5)*4 2X+10=4X-20 2X-4X=-20-10 -2X=-30 X=-30/-2 X=15 MPH IS THE SPEED OF THE BOAT IN STILL WATER. PROOF: (15+5)*2=(15-5)*4 20*2=10*4 40=40
 Unit_Conversion_Word_Problems/243579: A room measures 4 meters by 7 meters and the ceiling is 3 meters high. A liter of paint covers 20 square meters. How many liters of paint will it take to paint all but the floor of the room? Please show work.1 solutions Answer 178441 by checkley77(12569)   on 2009-11-29 16:32:47 (Show Source): You can put this solution on YOUR website!You have 2 walls 4*3=12*2=24 m^2 You have 2 walls 7*3=21*2=42 m^2 24+42=66 m^2 total surface area. 66/20=3.3 liters of paint is needed.
 Numbers_Word_Problems/243582: How many three-digit numbers have the sum of their digits equal to 20? This is a homework problem for me and I am simply stumped. we are working on permutations, factorials and trees. Thank you!!1 solutions Answer 178440 by checkley77(12569)   on 2009-11-29 16:28:38 (Show Source): You can put this solution on YOUR website!I count 36. 992=20 983=20 974=20 965=20 956=20 947=20 938=20 929=20 893=20 884=20 875=20 866=20 857=20 848=20 839=20 794=20 785=20 776=20 767=20 758=20 749=20 695=20 686=20 677=20 668=20 659=20 596=20 587=20 578=20 569=20 497=20 488=20 479=20 398=20 389=20 299=20
 Graphs/243584: 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 14% protein? How many pounds of cornmeal? How many pounds of soybean?1 solutions Answer 178434 by checkley77(12569)   on 2009-11-29 16:18:22 (Show Source): You can put this solution on YOUR website!.16x+.08(320-x)=.14*320 .16x+25.60-.08x=44.8 .08x=44.8-25.60 .08x=19.2 x=19.2/.08 x=240 lbs. of soybean are used. 320-240=80 lbs. of cornmeal is used. Proof: .16*240+.08*80=.14*320 38.4+6.4=44.8 44.8=44.8
 Linear-equations/243586: The Fax Corporation bought a fax machine for \$700. the fax machine depreciates at a rate of \$25 a month (a) Find a function F that can be used to determine the value of the fax machine t months after purchase Complete the model below F(t)=? I also need to see a graph of this Can anyone please help me1 solutions Answer 178432 by checkley77(12569)   on 2009-11-29 16:09:25 (Show Source): You can put this solution on YOUR website!f(x)=700-25x f(x)=-25x+700 (graph 300x200 pixels, x from -6 to 35, y from -100 to 700, -25x +700). 28 month after purchase it will be valued a \$0.00.
 Linear-systems/243390: 1. One number is 40 more than another. Find the number if the sum is 48. 2. The difference between 6 times a number and 12 equals the sum of the number and thirteen. Find the number. 3. One number exceeds another by 5. If the larger is increased by 5 and the smaller decreased by 8, the larger will be 12 less than twice the smaller. Find the original number. 1 solutions Answer 178376 by checkley77(12569)   on 2009-11-29 10:34:50 (Show Source): You can put this solution on YOUR website!1) X-Y=40 X+Y=48 ADD -------------- 2X=88 X=88/2 X=44 ANS. 44-Y=40 Y=44-40 Y=4 ANS. PROOF: 44+4=48 48=48 ------------------ 2) 6X-12=X+13 6X-X=13+12 5X=25 X=25/5 X=5 ANS. PROOF: 6*5-12=5+13 30-12=18 18=18 ----------------------- 3) X-Y=5 OR X=Y+5 (X+5)+12=2(Y-8) Y+5+5+12=2Y-16 Y-2Y=-16-5-5-12 -Y=-38 Y=38 ANS. X-38=5 X=5+38 X=43 ANS. PROOF: 43+5+12=2(38-8) 60=2*30 60=60
 Travel_Word_Problems/243391: Train A is traveling at 60 mph and train B is traveling 80 mph. Train A passes a station at 9:10 pm. If train B passes the same station at 9:25 pm, at that time will train B catch up to train A? 1 solutions Answer 178375 by checkley77(12569)   on 2009-11-29 10:24:07 (Show Source): You can put this solution on YOUR website!60T=80(T-.25) 60T=80T-20 60T-80T=-20 20T=20 T=20/20 T=1 HOUR AFTER TRAIN A LEAVES THEY WILL MEET. 9:10+1:00=10:10 TIME OF THEIR MEETING. PROOF: 60*1=80(1-.25) 60=80*.75 60=60
 Miscellaneous_Word_Problems/243414: A recent report stated that the five most popular ice cream flavors are vanilla (26%), chocolate (12.9%), Neapolitan (4.8%),strawberry (4.3%) and cookies " n " cream (4%).If 1000 people were interviewed concerning their favorite flavor of ice cream , how many would expect to say strawberry ? 1 solutions Answer 178374 by checkley77(12569)   on 2009-11-29 10:12:19 (Show Source): You can put this solution on YOUR website!4.3%=.043 .043*1,000=43 PEOPLE WOULD SELECT STRAWBERRY.
 Miscellaneous_Word_Problems/243416: A pound is 16 ounces . nine pennies weigh one ounce. If you have two pounds of pennies, how much money (in dollars and cents) do you have ?1 solutions Answer 178373 by checkley77(12569)   on 2009-11-29 10:09:56 (Show Source): You can put this solution on YOUR website!.01*9*16*2=2.88 ANS.
 Bodies-in-space/243430: What is the volumn in gallons of a tank with a 6' raduius and 3'deep?1 solutions Answer 178371 by checkley77(12569)   on 2009-11-29 10:07:04 (Show Source): You can put this solution on YOUR website!V=BH V=2PIR*H V=2*3.14*6*3 V=113.04 fT^3 .35 FT^3=2.64 GAL. (113.04/.35)*2.64 645.94*2.64 1,705.3 GAL. ANS.
 Square-cubic-other-roots/243431: multiply and simplify (5 - 2 square root 2)(7 + 7 square root 2)1 solutions Answer 178364 by checkley77(12569)   on 2009-11-29 09:41:59 (Show Source): You can put this solution on YOUR website!(5 - 2 square root 2) (7 + 7 square root 2) multiply ------------------------ 35-14sqrt2+35sqrt2-14*2 combine the sqrt terms. 35+21sqrt2-28 combine the integers. 7+21sqrt2 extract the common factor 7. 7(1+3sqrt2) ans.
 real-numbers/243432: a 12 foot tree casts a 16 foot shadow. How many feet tall is a nearby tree that casts a 20 foot shadow at the same time ?1 solutions Answer 178363 by checkley77(12569)   on 2009-11-29 09:39:08 (Show Source): You can put this solution on YOUR website!12/16=x/20 cross multiply. 16x=12*20 16x=240 x=240/16 x=15 ft. tall is the nearby tree. Proof: 12/16=15/20 3/4=3/4
 Linear-systems/243429: find the coordinates of the y-intercept for the given equation:y=x-13 and y=3x-71 solutions Answer 178362 by checkley77(12569)   on 2009-11-29 09:36:47 (Show Source): You can put this solution on YOUR website!Y=mX+b [b = the Y intercept.] y=x-13 (red line) The Y intercept = -13 y=3x-7 (green line) The Y intercept = -7 (graph 300x200 pixels, x from -6 to 5, y from -15 to 10, of TWO functions x -13 and 3x -7).
 Square-cubic-other-roots/243428: multiply and simplify (2 - 5 square root 2)(4 + 7 square root 2)1 solutions Answer 178361 by checkley77(12569)   on 2009-11-29 09:32:14 (Show Source): You can put this solution on YOUR website!(2 - 5 square root 2) (4 + 7 square root 2) MULTIPLY. ------------------------------ 8-20SQRT2+14SQRT2-35*2 COMBINE THE SQRT TERMS. 8-6SQRT2-70 COMBINE THE INTERGERS. -62-6SQRT2 REDUCE THE INTEGERS. -2(31+3SQRT2) ANS.
 Quadratic_Equations/243356: I have to solve using the quadratic formula 2/x + 5/x+2 = 11 solutions Answer 178300 by checkley77(12569)   on 2009-11-28 21:50:02 (Show Source): You can put this solution on YOUR website!2/x+5/(x+2)=1 [2(x+2)+5x]/x(x+2)=1 [2x+4+5x]/(x^2+2x)=1 [7x+4]/(x^2+2x)=1 7x+4=x^2+2x x^2-2x-7x-4=0 x^2-9x-4=0 x=(9+-sqrt[-9^2-4*1*-4])/2*1 x=(9+-sqrt[81+16])/2 x=(9+-sqrt97)/2 x=(9+-9.85)/2 x=(9+9.85)/2 x=18.85/2 x=9.424 ans x=(9-9.85)/2 x=-.85/2 x=-.424 ans.
 Systems-of-equations/243360: Decide whether or not the ordered pair is a solution of the system. (12, 6) y = 1/2x 2x + y = 181 solutions Answer 178296 by checkley77(12569)   on 2009-11-28 21:38:17 (Show Source): You can put this solution on YOUR website!(12, 6) y = 1/2x 6=1/2*12 6=6 ans. & a solution. 2x + y = 18 2*12+6=18 24+6=18 30=18 not a solution.
 Polynomials-and-rational-expressions/243364: Please help. Problem: x^3-8 Could you please provide a step process. I think that it will look something like this: (x^2+2)(x-4)1 solutions Answer 178295 by checkley77(12569)   on 2009-11-28 21:35:07 (Show Source): You can put this solution on YOUR website!x^3-8 (x-2)(x^2+2x+4) ans.
 Triangles/243317: The measure of the third angle in an isosceles triangle is 60% greater than the measure of each equal angle. Find the measure of the third angle.1 solutions Answer 178290 by checkley77(12569)   on 2009-11-28 21:06:41 (Show Source): You can put this solution on YOUR website!2x+(x+60)=180 3x=180-60 3x=120 x=120/3 x=40 degrees are the 2 equal angles. 40+60=100 degrees is the odd angle. Proof 40+40+100=180 180=180
 Polynomials-and-rational-expressions/243335: I need help factoring this trinomial. Problem: j^4-16 Please provide me with the steps. Here's the answer I came out with so far (j^2-4)(j^2+4) Is it right? I think the signs might be wrong.1 solutions Answer 178289 by checkley77(12569)   on 2009-11-28 20:59:06 (Show Source): You can put this solution on YOUR website!j^4-16 both j^4 & 16 are perfect squares & this is the difference of squares. (j^2+4)(j^2-4) The second factor is once again a perfect square also. (j^2+4)(j+2)(j-2) ans.
 Money_Word_Problems/243339: Colin invested 10,000, part at 14% and part at 17%. If the total interest at the end of the year is 1,490, how much did he invest at 14%?1 solutions Answer 178287 by checkley77(12569)   on 2009-11-28 20:54:42 (Show Source): You can put this solution on YOUR website!.14x+.17(10,000-x)=1,490 .14x+1,700-.17x=1,490 -.03x=1,490-1,700 -.03x=-210 x=210/.03 x=\$7,000 invested @ 14%. 10,000-7,000=3,000 invested @ 17% Proof: .14*7,000+.17*3,000=1,490 980+510=1,490 1,490=1,490