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# Recent problems solved by 'checkley77'

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 Sequences-and-series/161819: This question is from textbook Algebra 1 Please can you help me with Arithmetic Sequences because I don't know how to do it. The problem say determine whether each sequence is an arithmetic sequence. If it is, state the common difference. The problem is 2.1,4.2,8.4,17.6,.... Thanks for your help because I don't get how to do it so if you help me out to were I can do it on my own then thanks a lot.It's on page 236 my teacher wants me to do all the even numbers on the practice and apply. 1 solutions Answer 119251 by checkley77(12569)   on 2008-10-13 17:45:19 (Show Source): You can put this solution on YOUR website!2.1,4.2,8.4,17.6,.... This is not an arithmetic sequence. The multiplier is (2) IF the fourth term is 16.8 instead of 17.6. 2.1,4.2,8.4,16.8,33.6,67.2,...
 Expressions-with-variables/161820: how do u combine the terms of variable such as : x2+3+5y+y+51 solutions Answer 119249 by checkley77(12569)   on 2008-10-13 17:39:00 (Show Source): You can put this solution on YOUR website!x^2+3+5y+y+5 x^2+(5y+y)+(3+5) x^2+6y+8
 Expressions-with-variables/161821: how do u combine the terms of variable such as : x2+3+5y+y+51 solutions Answer 119248 by checkley77(12569)   on 2008-10-13 17:37:14 (Show Source): You can put this solution on YOUR website!x^2+3+5y+y+5 x^2+(5y+y)+(3+5) x^2+6y+8
 Equations/161838: -2/7x+8=5/14x-121 solutions Answer 119246 by checkley77(12569)   on 2008-10-13 17:35:20 (Show Source): You can put this solution on YOUR website!-2/7x+8=5/14x-12 -2x/7+8=5x/14-12 -2x/7-5x/14=-12-8 (-2x*2-5x)/14=-20 -4x-5x=-20*14 -9x=-280 x=-280/-9 x=280/9 answer. Proof: (-2/7)(280/9)+8=(5/14)(280/9)-12 -560/63+8=1400/126-12 -1120/126-1400/126=-12-8 -2520/126=-20 -20=-20
 Equations/161837: -2/7x+8=5/14x-121 solutions Answer 119245 by checkley77(12569)   on 2008-10-13 17:34:13 (Show Source): You can put this solution on YOUR website!-2/7x+8=5/14x-12 -2x/7+8=5x/14-12 -2x/7-5x/14=-12-8 (-2x*2-5x)/14=-20 -4x-5x=-20*14 -9x=-280 x=-280/-9 x=280/9 answer. Proof: (-2/7)(280/9)+8=(5/14)(280/9)-12 -560/63+8=1400/126-12 -1120/126-1400/126=-12-8 -2520/126=-20 -20=-20
 Sequences-and-series/161822: This question is from textbook Algebra 1 Please can you help me with Arithmetic Sequences because I don't know how to do it. The problem say determine whether each sequence is an arithmetic sequence. If it is, state the common difference. The problem is 18,24,30,36,.... Thanks for your help because I don't get how to do it so if you help me out to were I can do it on my own then thanks a lot.It's on page 236 my teacher wants me to do all the even numbers on the practice and apply.1 solutions Answer 119243 by checkley77(12569)   on 2008-10-13 17:25:03 (Show Source): You can put this solution on YOUR website!The common difference is +6 18,24,30,36,42,48,54,60,
 Miscellaneous_Word_Problems/161834: This word problem was given on a test. I don't remeber the exact wording of the problem but it was something like this. Find the change in feet per minute over 14 minutes between 3300 and 1200. The problem had something to do with moving from outside an airplane to the ground and the work was something like this. -14x+3300=1200 -3300 -3300 -14x/-14=-2100/-14 x=150 I'm not sure why, but I know the 14 was definitely negative. When I got my paper back, the question was corrected and said it should have been -150 feet per minute because the person was moving towards the ground. Can you have a change in negative feet per minute or would the change still be considered a positive change in a negative direction? I am in ninth grade and am taking honors algebra 1. Please answer as soon as you can.1 solutions Answer 119242 by checkley77(12569)   on 2008-10-13 17:21:01 (Show Source): You can put this solution on YOUR website!-14x+3300=1200 IF this is the equation then 150 is the answer. HOWEVER: IF the 14x is positive then the answer is -150. Proofs: -14*150+3300=1200 -2100+3300=1200 1200=1200 -------------------------------- 14*-150+3300=1200 -2100+3300=1200 1200=1200
 Radicals/161835: I have a problem in the form of W=Cr^-2 and I need to solve for r. I am lost at this type of problem and could use some assistance.1 solutions Answer 119241 by checkley77(12569)   on 2008-10-13 17:15:13 (Show Source): You can put this solution on YOUR website!W=Cr^-2 W=C/r^2 Wr^2=C r^2=C/W r=sqrt(C/W)
 Travel_Word_Problems/161833: I need some help please. Juniors boat will go 15 miles per hour in still water. If he can go 12 miles downstream in the same amount of time it takes to go 9 miles upstream, then what is the speed of the current? 1 solutions Answer 119240 by checkley77(12569)   on 2008-10-13 17:13:20 (Show Source): You can put this solution on YOUR website!12/(15+c)=9/(15-c) 9(15+c)=12(15-c) 135+9c=180-12c 9c+12c=180-135 21c=45 c=45/21 c=2.143 mph is the current. Proof: 12/(15+2.143)=9/(15-2.143) 12/17.143=9/12.854 .7~.7
 Percentage-and-ratio-word-problems/161831: If the number x is added to both the numerator and denominator of the fraction 2/5, the result is 2/3. What is x?1 solutions Answer 119239 by checkley77(12569)   on 2008-10-13 17:04:42 (Show Source): You can put this solution on YOUR website!(2+x)/(5+x)=2/3 2(5+x)=3(2+x) 10+2x=6+3x 2x-3x=6-10 -x=-4 x=4 answer. Proof: (2+4)/(5+4)=2/3+ 6/9=2/3 18=18
 Quadratic_Equations/161830: Find the length of the rectangle in terms of x. Area = 4x^3-5x^2-10x-3 and width = 4x+3 Area of rectangle is L times W This is the last problem for Algebra 1 course, your website helped me with all the other problems, but I can't solve this one. Thank you so much!1 solutions Answer 119238 by checkley77(12569)   on 2008-10-13 17:01:21 (Show Source): You can put this solution on YOUR website!Area = 4x^3-5x^2-10x-3 and width = 4x+3 (4x^3-5x^2-10x-3)/(4x+3)=(x^2-2x-1) is the length. This requires long division which is very clumbersome to present here. Proof: x^2-2x-1 4x+3 (multiply) ------------------------- 4x^3-8x^2-4x+3x^2-6x-3 4x^3-5x^2-10x-3
 Functions/161825: Determine the linear function whose graph is a line that is perpendicular to the line g(x)= 5x-3 and contains the point (7,4)1 solutions Answer 119236 by checkley77(12569)   on 2008-10-13 16:52:51 (Show Source): You can put this solution on YOUR website!Perpendicular to g(x)= 5x-3 (red line) and contains the point (7,4). A line perpendicular to this line has a slope=-1/5. Y=mX+b 4=-1/5*7+b 4=-7/5+b b=4+7/5 b=(20+7)/5 b=27/5 for the y intercept. y=-x/5+27/5 (green line). (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions 5x -3 and -x/5 +27/5).
 Sequences-and-series/161823: This question is from textbook Algebra 1 Please can you help me with Arithmetic Sequences because I don't know how to do it. The problem say determine whether each sequence is an arithmetic sequence. If it is, state the common difference. The problem is -31,-22,-13,-4,.... Thanks for your help because I don't get how to do it so if you help me out to were I can do it on my own then thanks a lot.It's on page 236 my teacher wants me to do all the even numbers on the practice and apply.1 solutions Answer 119234 by checkley77(12569)   on 2008-10-13 16:42:06 (Show Source): You can put this solution on YOUR website!The factor for this sequence is (+9) -31,-22,-13,-4,+5,+14,+23,+32
 Numbers_Word_Problems/161824: This question is from textbook pre-algebra i want to know how to do this problem four times the sum of three intergers is 48. please HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1 solutions Answer 119233 by checkley77(12569)   on 2008-10-13 16:38:53 (Show Source): You can put this solution on YOUR website!Can't help unless these 3 integers are; cosecutive, odd or even integers.
 Geometry_Word_Problems/161666: A triangle has a permimeter of 161 miles. Each of the smaller two sides of the triangle is two-thirds the length of the longest side. Find the length of each side of the triangle.1 solutions Answer 119149 by checkley77(12569)   on 2008-10-12 19:27:52 (Show Source): You can put this solution on YOUR website!2X/3+2X/3+X=161 7X/3=161 7X=3*161 7X=483 X=483/769 IS THE LENGTH OF THE LOGEST SIDE. 2/3*69=46 FOR THE 2 SHORTER SIDES. PROOF: 46+46+69=161 161=161
 Geometry_Word_Problems/161667: A motorboat left a harbor and traveled to an island at an average rate of 15 knots. The average speed on the return trip was 10 knots. If the total trip took 7.5 hours, how far is the harbor from the island?1 solutions Answer 119148 by checkley77(12569)   on 2008-10-12 19:23:40 (Show Source): You can put this solution on YOUR website!D=RT T=D/R 7.5=D/15+D/10 7.5=(10D+15D)/150 7.5=25D/150 25D=7.5*150 25D=1125 D=1125/25 D=45 MILES FROM THE HARBOR TO THE ISLAND. PROOF: 7.5=45/15+45/10 7.5=3+4.5 7.5=7.5
 Travel_Word_Problems/161670: A motorboat left a harbor and traveled to an island at an average rate of 15 knots. The average speed on the return trip was 10 knots. If the total trip took 7.5 hours, how far is the harbor from the island?1 solutions Answer 119147 by checkley77(12569)   on 2008-10-12 19:22:37 (Show Source): You can put this solution on YOUR website!D=RT T=D/R 7.5=D/15+D/10 7.5=(10D+15D)/150 7.5=25D/150 25D=7.5*150 25D=1125 D=1125/25 D=45 MILES FROM THE HARBOR TO THE ISLAND. PROOF: 7.5=45/15+45/10 7.5=3+4.5 7.5=7.5
 Coordinate-system/161671: What is the equation of y=2xsquare - 3x-1. Also draw a graph to show this equation and include table of values too. 1 solutions Answer 119145 by checkley77(12569)   on 2008-10-12 19:18:22 (Show Source): You can put this solution on YOUR website!Y=2X^2-3X-1 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 2x^2 -3x -1). (1,-2), (0,-1),(2,1)
 Miscellaneous_Word_Problems/161660: a farmer has \$3000 to spend on fencing material to enclose a pasture.if the fencing material costs \$15 per yard, what is the maximum area he can enclose in square feet?1 solutions Answer 119135 by checkley77(12569)   on 2008-10-12 18:19:27 (Show Source): You can put this solution on YOUR website!3000/15=200 FT OF FENCING IS USED. THE MAXIMUM AREA IS A CIRCLE. THUS THE 200 FT OF FENCING WOULD BE THE CIRCUMFERANCE OF A CIRCLE: 200=2PIR 200=2*3.14R 200+6.28*R R=200/6.28 31.847 FT. IS THE RADIUS OF THIS CIRCLE. AREA OF THIS CIRCLE IS: A=PIR^2 A=3.14*31.847^2 A=3.14*1,014.23 A=3,184.68 FT^2
 decimal-numbers/161662: Write one thousand, five hundred six and three tenths as a decimal. I have been working on this for a while; but I can not figure out the complete answer to this problem. I was wondering if you can help me with it and show me how you come out with the correct answer. Please e-mail me back. -Thank You!1 solutions Answer 119132 by checkley77(12569)   on 2008-10-12 18:06:39 (Show Source): You can put this solution on YOUR website!1,506.3
 Volume/161608: I have no book. Find the volume, to the nearsest tenth, of a pyramid that is 6 feet tall and whose base is an equilateral triangle with sides each 10 feet long. Please help 1 solutions Answer 119131 by checkley77(12569)   on 2008-10-12 18:04:56 (Show Source): You can put this solution on YOUR website!V=BH/3 HEIGHT OF TRIANGLE BASE IS: 5^2+X^2=10^2 X^2=100-25 X^2=75 X=8.66 FOR THE HEIGHT AREA OF BASE=BH/2 AREA=10*8.66/2=86.6/2 AREA=43.3 V=43.3*6/3 V=86.6 FT^3 V=50*6/2 V=300/2 V=150FT^3.
 Miscellaneous_Word_Problems/161616: If it takes 12 people 3 days to build 72 meters of fence, how many meters of fence can 15 people build in one day? 1 solutions Answer 119127 by checkley77(12569)   on 2008-10-12 17:52:19 (Show Source): You can put this solution on YOUR website!(12*3):72 AS (15*1):X 36/72=15/X 1/2=15/X X=30 FEET OF FENCE CAN BE BUILT BY 15 PEOPLE IN 1 DAY. PROOF: 36/72=15/30 1/2=1/2
 Mixture_Word_Problems/161619: a fruit drink concentrate is 15 % water. How many liters of pure water should be added to 12 liters of the concentrate to get a mixture that is 50 % water?1 solutions Answer 119125 by checkley77(12569)   on 2008-10-12 17:45:08 (Show Source): You can put this solution on YOUR website!.15*12+W=.5(12+W) 1.8+W=6+.5W W-.5W=6-1.8 .5W=4.2 W=4.2/.5 W=8.4 LITERS OF PURE WATER IS USED. PROOF: .15*12+8.4=.5(12+8.4) 1.8+8.4=.5*20.4 10.2=10.2
 Probability-and-statistics/161630: A mechanic has 20 liters of a 50% antifreeze solution. how many liters of pure antifreeze should be added to the antifreeze solution to make an antifreeze solution that is 75% antifreeze?1 solutions Answer 119124 by checkley77(12569)   on 2008-10-12 17:39:26 (Show Source): You can put this solution on YOUR website!.5*20+X=.75(20+X) 10+X=15+.75X X-.75X=15-10 .25X=5 X=5/.25 X=20 LITERS OF PURE ANTIFREEZE IS USED. PROOF: .5*20+20=.75(20+20) 10+20=.75*40 30=30
 Polynomials-and-rational-expressions/161385: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM: Use the graph of the given function to find any relative maxima and relative minima. f(x) = x^3 - 3x^2 + 11 solutions Answer 119123 by checkley77(12569)   on 2008-10-12 17:35:25 (Show Source): You can put this solution on YOUR website!f(x) = x^3 - 3x^2 + 1 (graph 500x500 pixels, x from -130 to 130, y from -250000 to 250000, x^3 -3X^2 +1). THERE APEARS TO BE NO X OR Y MINIMA OR MAXIMA.
 Geometry_Word_Problems/161648: The length of a rectangle is 3 feet less than half the width of the rectangle. If the perimeter of the rectangle is 174 feet, find the width and the length1 solutions Answer 119119 by checkley77(12569)   on 2008-10-12 17:16:33 (Show Source): You can put this solution on YOUR website!L=(W/2)-3 2[(W/2)-3]+2W=174 2W/2-6+2W=174 W+2W=174+6 3W=180 W=180/3 W=60 FOR THE WIDTH. L=60/2-3 L=30-3 L=27 FOR THE LENGTH. PROOF: 2*27+2*60=174 54+120=174 174=174
 Mixture_Word_Problems/161601: 1. How many lbs, of cream containing 12 percent butter must be added to 1800lbs, of milk containing 2 percent butterfat to obtain milk having 3 percent butter? 2. How much of a 40 percent solution of alcohol and how much of an 80 percent solution should be mixed to give 40 gallons of a 50 percent solution? 1 solutions Answer 119115 by checkley77(12569)   on 2008-10-12 16:54:11 (Show Source): You can put this solution on YOUR website!.12x+.02*1,800=.03(1,800+x) .12x+36=54+.03x .12x-.03x=54-36 .09x=18 x=18/.09 x=200 pounds of 12% cream is used. Proof: .12*200+.02*1,800=.03(1,800+200) 24+36=.03*2,000 60=60
 Graphs/161605: 4X+5Y=22 FIND THE SLOPE AND GRAPH1 solutions Answer 119111 by checkley77(12569)   on 2008-10-12 16:44:00 (Show Source): You can put this solution on YOUR website!4x+5y=22 5y=-4x+22 y=-4x/5+22/5 slope (m)=-4/5. (graph 300x200 pixels, x from -6 to 6, y from -10 to 10, -4x/5 +22/5).
 Divisibility_and_Prime_Numbers/161622: what numbers is 2235, 3864, 450, 72424, 6168, 2421, 432, and 8304 divisible by???? answer back ASAP!! PLEASE THANKS SOOO MUCHH, SINCERILY ariella melamed :)1 solutions Answer 119109 by checkley77(12569)   on 2008-10-12 16:39:42 (Show Source): You can put this solution on YOUR website!factors of 450=2*3*3*5*5 factors of 432=2*2*2*2*3*3*3 therefore it must be 2 or 3 72424/3=2414.333 thus 3 is not the answer. 2235/2=1117.5 thus 2 is not the answer. thus there is no common fact within this group of numbers except for (1).
 Travel_Word_Problems/161625: At noon Tom leaves in his boat from a dock and heads south. He travels at a rate of 25 mph. Ten minutes later, Mary leaves the same dock in her speedboat and heads after Tom. If she travels at a rate of 30 miles per hour at what time will she catch up with Tom?1 solutions Answer 119104 by checkley77(12569)   on 2008-10-12 16:17:55 (Show Source): You can put this solution on YOUR website!25T=30(T-1/6) 25T=30T-5 25T-30T=-5 -5T=-5 T=1 HOUR IS THE CATCH-UP TIME FOR MARY. PROOF: 25*1=30(1-1/6) 25=30*5/6 25=150/6 25=25 MILES IS THE DISTANCE TRAVELED BEFORE THE CATCH-UP.
 Probability-and-statistics/161629: At 9am a plane leaves chicago heading west. At 11 am a second plane leaves chicago heading west on the same flight path and treveling 50mph faster than the first plane. the second plane overtakes the first plane in 5 hours. What is the rate of the first plane?1 solutions Answer 119103 by checkley77(12569)   on 2008-10-12 16:13:07 (Show Source): You can put this solution on YOUR website!7R=5(R+50) 7R=5R+250 7R-5R=250 2R=250 R=250/2 R=125 MPH FOR THE FIRST PLANE. 125=50=175 MPH FOR THE SECOND PLANE. PROOF: 7&125=5(125+50) 875=5*175 875=875 IS THE DISTANCE BOTH PLANES COVERED.