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# Recent problems solved by 'checkley77'

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 Sequences-and-series/347619: 1. . List the terms that complete a possible pattern in each of the following: (a) 38, 33, 28, 23, 18, ____, ____, ____ (b) 640, 320, 160, 80, ____, ____, ____ (c) 7, 8,15, 23, 38, ____, ____, ____ (d) 4, 8, 16, 32, 64, ____, ____, ____ (e) 1, ____, ____, ____, 25, 36, 49 1 solutions Answer 248578 by checkley77(12569)   on 2010-09-24 17:43:54 (Show Source): You can put this solution on YOUR website!(a) 38, 33, 28, 23, 18, 13, 8, 3 (-5) (b) 640, 320, 160, 80, 40, 20, 10 (*.5) (c) 7, 8, 15, 23, 38, 61, 99, 160 (n+n+1) (d) 4, 8, 16, 32, 64, 32, 64, 128 (*2) (e) 1, 4, 9, 16, 25, 36, 49 (n^2)
 Equations/347620: 2. Solve the following equations for x. (a) 4x + 6 = 30 (b) 5(x – 4) = 3x + 10 1 solutions Answer 248577 by checkley77(12569)   on 2010-09-24 17:38:12 (Show Source): You can put this solution on YOUR website!(a) 4x + 6 = 30 4x=30-6 4x=24 x=24/4 x=6 ans. (b) 5(x – 4) = 3x + 10 5x-20=3x+10 5x-3x=10=20 2x=30 x=30/2 x=15 ans.
 Numbers_Word_Problems/347623: A tip jar contains twice as many quarters as dollar bills. If it has a total of 12 in it, how many quarters and how many dollar bills does it contain? 1 solutions Answer 248576 by checkley77(12569)   on 2010-09-24 17:35:54 (Show Source): You can put this solution on YOUR website!.25*2x+1x=12 .5x+1x=12 1.5x=12 x=12/1.5 x=8 dollar bills. 8*2=16 quarters. Proof: .25*16+1*8=12 4+8=12 12=12
 Travel_Word_Problems/347630: Two surveyors with two-way radios leave the same point at 9:00 A.M., one walking due south at 2 mi/hr and the other due west at 4 mi/hr. How long can they communicate with one another if each radio has a maximum range of 2.98 miles? Round the answer to the nearest minute. 1 solutions Answer 248574 by checkley77(12569)   on 2010-09-24 17:30:03 (Show Source): You can put this solution on YOUR website!(2t)^2+(4t)^2=2.98^2 4t^2+16t^2=8.88 20t^2=8.88 t^2=8.88/20 t^2=.444 t=sqrt.444 t=.666 hours. Proof: (2*.666)^2+(4*.666)^2=2.98^2 1.332^2+2.664^2=8.88 1.774+7.097=8.88 8.87~8.88
 Geometry_Word_Problems/347635: A farmer plans to enclose a rectangular region, using part of his barn for one side and fencing for the other three sides. If the side parallel to the barn is to be three times the length of an adjacent side, and the area of the region is to be , how many feet of fencing should be purchased? 1 solutions Answer 248571 by checkley77(12569)   on 2010-09-24 17:18:20 (Show Source): You can put this solution on YOUR website!Need a value for the AREA to solve this problem. Resubmit.
 Geometry_Word_Problems/347643: A RECTANGULAR PARK WAS BUILT SO THAT ITS LENGTH IS 3 TIMES ITS WIDTH. THE PERIMETER OF THE PARK IS 24 YARDS. WHAT ARE TEH WIDTH AND LENGTH OF THE PARK?1 solutions Answer 248569 by checkley77(12569)   on 2010-09-24 17:06:54 (Show Source): You can put this solution on YOUR website!L=3W 2L+2W=P 2*3W+2W=24 6W+2W=24 8W=24 W=24/8 W=3 YDS. FOR THE WIDTH. L=3*3=9 YDS. FOR THE LENGTH. PROOF: 2*9+2*3=24 18+6=24 24=24
 Geometry_Word_Problems/347646: THE MEASURE OF ONE ANGLE OF A TRIANGLE IS 10 DEGREES MORE THAN THE MEASURE OF THE SMALLEST ANGLE. THE MEASURE OF THE THIRD ANGLE IS 50 DEGREES MORE THAN THE MEASURE OF THE SMALLEST ANGLE. WHAT ARE THE MEASURES OF THE ANGLES OF THE TRIANGLE?1 solutions Answer 248568 by checkley77(12569)   on 2010-09-24 17:04:13 (Show Source): You can put this solution on YOUR website!x, x+10 & x+50 are the three angles. x+x+10+x+50=180 3x=180-10-50 3x=120 x=120/3 x=40 degrees for the smaller angle. 40+10=50 degrees for the middle angle. 40+50=90 degrees for the largest angle. Proof: 40+50+90=180 180=180
 Percentage-and-ratio-word-problems/347700: A manufacturer needs to produce a 10 ounce can of 40% deet.How much 100% deet and 25% deet should be mixed to produce each of these spray cans?? 1 solutions Answer 248567 by checkley77(12569)   on 2010-09-24 16:58:37 (Show Source): You can put this solution on YOUR website!1x+.25(10-x)=.40*10 1x+2.5-.25x=4 .75x=4-2.5 .75x=1.5 x=1.5/.75 x=2 oz. of 100% deet is used. 10-2=8 oz. of 10 % deet is used. Proof: 1*2+.25*8=.40*10 2+2=4 4=4
 Volume/347298: The volume of a cone is cubic kilometers. If the radius of the base is 9 kilometers, what is the height of the cone? Use 3.14 for pi. Show your work and round to the nearest tenth. 1 solutions Answer 248366 by checkley77(12569)   on 2010-09-23 18:45:58 (Show Source): You can put this solution on YOUR website!Did you leave out the Volume value? *********************************** V=1/3bh V=1.3*pir^2h V=1/3*3.14*9^2*h V=1.04656*81*h V=84.77h Replace V with your volume figure & solve for h.
 Mixture_Word_Problems/347300: a chemist needs to mix 20L of a 40% acid solution with some 70% acid solution to obtain a mixture that is 50% acid. How many liters of the 70% acid solution should be used?1 solutions Answer 248364 by checkley77(12569)   on 2010-09-23 18:38:47 (Show Source): You can put this solution on YOUR website!.70x+.40*20=.50(20+x) .70x+8=10+.50x .70x-.50x=10-8 .20x=2 x=2/.2 x=10 L of 70% acid is used. Proof: .70*10+.40*.2=.50(20=10) 7+8=.5*30 15=15
 Graphs/347304: what is y-3=-2/3x+91 solutions Answer 248361 by checkley77(12569)   on 2010-09-23 18:35:19 (Show Source): You can put this solution on YOUR website!Assuming this is a linear/graphing equation. Then: y-3=-2/3x+9 y=-2x/3+9+3 y=-2x/3+12 (graph 300x200 pixels, x from -6 to 20, y from -10 to 15, -2x/3 +12).
 test/347306: Find the line that goes through the two points using slope-intercept method: (-5,7) (-8,4)1 solutions Answer 248358 by checkley77(12569)   on 2010-09-23 18:30:13 (Show Source): You can put this solution on YOUR website!(-5,7) (-8,4) m=(y2-y1)/(x2-x1) m=(4-7)/(-8+5) m=-3/-3=1 ans. Y=mX+b Y=1X+b 7=-5+b b=7+5 b=12 ans. for the Y intercept. Y=x+12 (graph 300x200 pixels, x from -10 to 5, y from -10 to 15, x +12).
 test/347310: Write an equation of horizontal line through (-4,5)1 solutions Answer 248357 by checkley77(12569)   on 2010-09-23 18:23:00 (Show Source): You can put this solution on YOUR website!y=5 ans.
 test/347311: Write an equation of vertical line through (4,-6)1 solutions Answer 248354 by checkley77(12569)   on 2010-09-23 18:21:41 (Show Source): You can put this solution on YOUR website!x=4 ans.
 Evaluation_Word_Problems/347317: stefani bought enough powered juice mix to make eight and three fourths gallons of juice if her kids go through one and one fourths gallons of juice per week how many weeks of juice did she buy?1 solutions Answer 248352 by checkley77(12569)   on 2010-09-23 18:18:16 (Show Source): You can put this solution on YOUR website!(8 3/4)/(1 1/4) (35/4)/(5/4) 35/4*4/5=35/5=7 weeks. Proof: 8.75/1.25=7
 Probability-and-statistics/347327: Assuming that no questions are omitted, in how many ways can a six question true false quiz be answered?1 solutions Answer 248349 by checkley77(12569)   on 2010-09-23 18:08:44 (Show Source): You can put this solution on YOUR website!2^6=64 different ways.
 Systems-of-equations/347262: I have to solve by the addition method. I am lost on this one because even when I rewrite the equation I still cant see it. 2x=2-y 3x+y=-11 solutions Answer 248345 by checkley77(12569)   on 2010-09-23 18:03:20 (Show Source): You can put this solution on YOUR website!2x=2-y 2x+y=2 3x+y=-1 subtract ---------------------- -x=3 x=-3 ans. 2*-3=2-y -6=2-y y=2+6 y=8 ans. Proof: 3*-3+8=-1 -9+8=-1 -1=-1
 Equations/347263: The doorway into a room is 4 feet wide and 8 feet high. What is the length of the longest rectangular panel that can be taken through this doorway diagonally?1 solutions Answer 248340 by checkley77(12569)   on 2010-09-23 17:57:35 (Show Source): You can put this solution on YOUR website!4^2+8^2=c^2 16+64=c^2 80=c^2 c=sqrt80 c=8.944 ft. ans.
 Miscellaneous_Word_Problems/347264: Each side of a sqaure is 4 meters long. When each side is increased by x meters, the area is doubled. Find the value of x.1 solutions Answer 248336 by checkley77(12569)   on 2010-09-23 17:53:58 (Show Source): You can put this solution on YOUR website!2*4^2=(4+x)^2 2*16=16+8x+x^2 x^2+8x+16-32=0 x^2+8x-16=0 x=(-8+-sqrt[8^2-4*1*-16])/2*1 x=(-8+-sqrt[64+64])/2 x=(-8+-sqrt128)/2 x=(-8+-11.314)/2 x=(-8+11.314)/ x=3.314/2 x=1.657 ans. for the increased length of the sides. Proof: 2*4^2=(4+1.657)^2 2*16=5.657^2 32=32
 Systems-of-equations/347266: I am terrible at fractions and I am totally lost with using the addition method with fractions. Please help 3/7x+5/9y=27 1/9x+2/7y=7 These are fractions1 solutions Answer 248330 by checkley77(12569)   on 2010-09-23 17:40:34 (Show Source): You can put this solution on YOUR website!3/7x+5/9y=27 multiply by 1/9 1/9x+2/7y=7 multiply by -3/7 & add. 1/9*3/7x+1/9*5/9y=1/9*27 3/63x+5/81y=3 -3/7*1/9x-3/7*2/7y=-3/7*7 -3/63x-6/49y=-3 3/63x+5/81y=3 ----------------------------- -6/81y+5/49y=0 y(-6/81+5/49)=0 y=0 ans 3/7x=27 3x/7=27 3x=7*27 3x=189 x=189/3 x=63 ans. Proof: 1/9*63+2/7*0=7 63/9=7 7=7
 Systems-of-equations/347267: 3x-2.5y=7.125 2.5x-3y=7.3125 I have to solve by using the addition method. Am I supposed to convert these? If so, I have no idea how. 1 solutions Answer 248329 by checkley77(12569)   on 2010-09-23 17:25:17 (Show Source): You can put this solution on YOUR website!3x-2.5y=7.125 multiply by -2.5 2.5x-3y=7.3125 multiply by 3 & add -7.5x+6.25=-17.8125 7.5x-9y=21.9375 -------------------------- -3y=-4.125 y=-4.125/-3 y=1.375 ans. 3x-2.5*1.375=7.3125 3x-3.4375=7.3125 3x=7.3125+3.4375 3x=10.75 x=10.75/3 x=3.5833 ans. Proof: 2.5*3.5833-3*1.375=7.3125 8.958-4.125=4.833 4.833=4.833
 Graphs/347268: What are the x-untercepts of the graph of y=12x^2-5x-2?1 solutions Answer 248321 by checkley77(12569)   on 2010-09-23 17:05:50 (Show Source): You can put this solution on YOUR website!y=12x^2-5x-2 0=(3x-2)(4x+1) (3x-2=0 3x=2 x=2/3 ans. (2/3,0) 4x+1=0 4x=-1 x=-1/4 ans. (-1/4,0) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 12x^2 -5x -2).
 Equations/347269: please solve my problem: 12(3+y)=5(2y+8)1 solutions Answer 248320 by checkley77(12569)   on 2010-09-23 16:57:33 (Show Source): You can put this solution on YOUR website!12(3+y)=5(2y+8) 36+12y=10y+40 12y-10y=40-36 2y=4 y=4/2 y=2 ans. Proof: 12(3+2)=5(2*2+8) 12*5=5(4+8) 60=5*12 60=60
 Rectangles/347270: For what values of x is the area of the rectangle greater than the perimeter? 1 solutions Answer 248318 by checkley77(12569)   on 2010-09-23 16:55:14 (Show Source): You can put this solution on YOUR website!x^2>4x x^2-4x>0 x(x-4)>0 x>0 x>4 ans. Proof: Let x=4.1 4.1^2>4*4.1 16.81>16.4
 Miscellaneous_Word_Problems/347271: a store mixes Kenyan coffee worth \$11 per kilogram and Venezuelan coffee worth \$13 per kilogram. The mixture is to sell for \$12 per kilogram. Find how much of each should be used to make a 336-kilogram mixture.1 solutions Answer 248315 by checkley77(12569)   on 2010-09-23 16:50:52 (Show Source): You can put this solution on YOUR website!13x+11(336-x)=336*12 13x+3,696-11x=4,032 2x=4,032-3,696 2x=336 x=336/2 x=168 kilograms of \$13 coffee. 336-168=168 kilograms of \$11 coffee. Proof: 13*168+11*168=336*12 2,184+1,848=4,032 4,032=4,032
 Linear-equations/347272: If Joe has a \$20.00 calling card. and long-distance calls cost \$0.05 more per minute than local calls. If he made 35 minutes of local calls and 52 long distance calls, what was he paying per minute for each typy of call? I am having problems with this...would someone explain it to me...thanks1 solutions Answer 248313 by checkley77(12569)   on 2010-09-23 16:43:33 (Show Source): You can put this solution on YOUR website!35x+52(x+.05)=20 35x+52x+2.60=20 87x=20-2.6o 87x=17.40 x=17.40/87 x=\$.20 per minute for the local calls. .20=.02=\$.25 per minute for the long distance calls. Proof: 35*.20+52*.25=20 7+13=20 20=20
 Equations/347274: please solve my problem: 2v+18=16-4(v+7)1 solutions Answer 248312 by checkley77(12569)   on 2010-09-23 16:33:35 (Show Source): You can put this solution on YOUR website!2v+18=16-4(v+7) 2v+18=16-4v-28 2v+4v=16-28-18 6v=-30 v=-30/6 v=-5 ans. Proof: 2*-5+18=16-4(-5+7) -10+18=16-4*2 8=16-8 8=8
 Linear-equations/346714: Find the equation for the line passing through the point (-1,-4) and perpendicular to the line whose equation is 1 x + 3y + 1=0.1 solutions Answer 247973 by checkley77(12569)   on 2010-09-22 17:14:59 (Show Source): You can put this solution on YOUR website! 1 x + 3y + 1=0 3y=-x-1 y=-x/3-1/3 (red line). Slope=-1/3 (-1,-4) and perpendicular. The perpendicular line will have a slope=3 Y=mX+b -4=3*-1+b -4=-3+b b=-4+3 b=-1 the Y intercept. Y=3X-1 answer. (green line) (graph 300x300 pixels, x from -6 to 5, y from -6 to 5, of TWO functions -x/3 -1/3 and 3x -1).
 expressions/346744: 10/2+3*-3-2*-3(2+3)-31 solutions Answer 247966 by checkley77(12569)   on 2010-09-22 17:03:40 (Show Source): You can put this solution on YOUR website!10/2+3*-3-2*-3(2+3)-3 5-9-2*-3(5)-3 -4-2*-15-3 -4+30-3=23 ans.
 Polynomials-and-rational-expressions/346745: can you help me with this promblem (6n^2-4)+(-2n^2+9)1 solutions Answer 247964 by checkley77(12569)   on 2010-09-22 16:59:17 (Show Source): You can put this solution on YOUR website!(6n^2-4)+(-2n^2+9) 4n^2+5 ans.
 Rectangles/346769: The length of a rectangle is 7 meters longer than its width. What is the width of this rectangle if its perimeter is equal to 150 meters?1 solutions Answer 247963 by checkley77(12569)   on 2010-09-22 16:56:05 (Show Source): You can put this solution on YOUR website!L=W+7 2L+2W=P 2(W+7)+2W=150 2W+14+2W=150 4W=150-14 4W=136 W=136/4 W=34 METERS IS THE LENGTH. L=34+7=41 METERS IS THE LENGTH. PROOF: 2*41+2*34=150 82+68=150 150=150