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# Recent problems solved by 'checkley75'

checkley75 answered: 3664 problems
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 Length-and-distance/93316: Find the medpoint of the segments with the given endpoints: a. (4,-12) and (-6,4) b. (18,28) and (-7,15) Find the other endpoint of a line segment of a line segmetn with the given midpoint and endpoint: a. midpoint (6,-1) endpoint (-9,0)1 solutions Answer 67945 by checkley75(3666)   on 2007-08-19 17:36:36 (Show Source): You can put this solution on YOUR website!x=6+4=10 divide by 2 we get 10/2=5 for the x coordinate y=12+4=16 divided by 2 we get 16/2=8 for the y coordinate . thus the mid point is (5,8) --------------------------------------------------------------------- x=18+7=25 divided by 2 we get 25/2=12.5 for the x coordinate y=28-15=13 divided by 2 we get 13/2=6.5 for the y coordinate. thus the mid point is (12.5,6.5) --------------------------------------------------------------------- x=9+6=15 which is half of the line so we add 15 to 6=21 for the x end point y=1 which is half of the line so we add -1-1=-2 to the -2 & we get 1 for the y coordinate. (21,-2) is the end point. ------------------------------------------------------------------- THE PROOF IS IN THE GRAPHING OF THESE PROBLEMS. :-)
 test/93327: Write an algebraic equation for the english statement "subtract 5 from the sum of x and 7 times and the result is 20 1 solutions Answer 67944 by checkley75(3666)   on 2007-08-19 17:24:28 (Show Source): You can put this solution on YOUR website!(x+7)-5=20 answer.
 Functions/93302: I think I have the answer to this problem, but I am not sure. Can someone please check my work? Given f(x)=5x^2-3x+1, find f(-2): I got 27, is this correct? Thank you for your help!1 solutions Answer 67943 by checkley75(3666)   on 2007-08-19 17:22:45 (Show Source): You can put this solution on YOUR website!f(-2)=5*-2^2-3*-2+1 f(-2)=5*4+6+1 f(-2)=20+7 f(-2)=27 answer.
 Polynomials-and-rational-expressions/93311: Simplify The Experession 3x^6/x^3 A) 3x^3 B) 27x^3 C)9x D)3x^91 solutions Answer 67941 by checkley75(3666)   on 2007-08-19 17:19:50 (Show Source): You can put this solution on YOUR website!3x^6/x^3=3x^(6-3)=3x^3 or answer A)
 Polynomials-and-rational-expressions/93312: Perform the indicated operation (6x^2+7x-8)-(-9x^2+10) A)-3x^2+7x+2 B)15x^2+7x-18 C)15x^2-3x-8 D)-3x^2-3x-8 1 solutions Answer 67940 by checkley75(3666)   on 2007-08-19 17:18:08 (Show Source): You can put this solution on YOUR website!6x^2+7x-8 9x^2-10 ----------------------- 15x^2+7x-18 answer is B)
 Expressions-with-variables/93314: Can you please help me with this problem? Solve for x. x+2y= -1 3x-4y= 27 I think I am supposed to solve for the y variable in one problem, then plug it in for the next one. I'm not sure though. Thank you in advance!!!1 solutions Answer 67939 by checkley75(3666)   on 2007-08-19 17:15:14 (Show Source): You can put this solution on YOUR website!x+2y=-1 x=-2y-1 now substituting (-2y-1) for x in the other equation we get: 3(-2y-1)-4y=27 -6y-3-4y=27 -10y=27+3 -10y=30 y=30/-10 y=-3 answer. x=-2*-3-1 x=6-1 x=5 answer. proof 3*5-4*-3=27 15+12=27 27=27
 Linear-systems/93326: Solve each equation or system of equations. y=x-3 7x-2y=211 solutions Answer 67938 by checkley75(3666)   on 2007-08-19 17:06:13 (Show Source): You can put this solution on YOUR website!y=x-3 then 7x-2(x-3)=21 7x-2x+6=21 5x=21-6 5x=15 x=15/5 x=3 answer y=5+3 y=8 answer proof 7*3-2(3-3)=21 21-2*0=21 21=21
 expressions/93254: Simplify completely: ( x2 - 6x + 9)/( - 24x ) divided by ( x - 3)/( - 6x ) 1 solutions Answer 67926 by checkley75(3666)   on 2007-08-19 14:01:46 (Show Source): You can put this solution on YOUR website![(X^2-6X+9)/-24X]/(X-3)/-6X [(X-3)(X-3)/-24X]*-6X/(X-3) CANCEL OUT THE (X-3) & -6X WE ARE LEFT WITH: (X-3)/4
 Rectangles/93266: I am having trouble with this word problem. Find an expression that represents its perimeter. Length Width How do I solve this problem? Please help me.1 solutions Answer 67925 by checkley75(3666)   on 2007-08-19 13:58:17 (Show Source): You can put this solution on YOUR website!perimeter=2L+2W P=2[(2X+1/5)]+2[4/(3X+1)] P=(4X+2)/5+8/(3X+1) P=[(4X+2)(3X+1)+8*5]/5(3X+1) P=(12X^2+10X+2+40)/15X+5 P=2(6X^2+5X+20)/5(3X+1) ANSWER.
 test/93277: If x + 3 = a, then 2x+ 6 = (A) a + 3 (B) a + 6 (C) 2a (D) 2a + 3 (E) 2a + 61 solutions Answer 67924 by checkley75(3666)   on 2007-08-19 13:49:38 (Show Source): You can put this solution on YOUR website!x+3=a & 2x+6=2(x+3) thus 2x+6=2a or answer c)
 Circles/93279: solve for r c=2x3.14xr1 solutions Answer 67923 by checkley75(3666)   on 2007-08-19 13:47:12 (Show Source): You can put this solution on YOUR website!c=2*3.14*r c=6.28r r=c/6.28
 Rectangles/93286: Find the perimeter of a square whose diagonal measures 12in.1 solutions Answer 67922 by checkley75(3666)   on 2007-08-19 13:44:49 (Show Source): You can put this solution on YOUR website!The 2 sides of a square & the diagonal form a right triangle with equal sides. Thus the equation for the diagonal is: d^2=s^2+s^2 12^2=2s^2 2s^2=144 s^2=144/2 s=sqrt72 s=8.49 for the sides. thus the perimeteris=4*side or: 4*8.49=33.96 is the perimeter.
 Linear_Equations_And_Systems_Word_Problems/93293: Solve using a two-order system. One number is 3 less than twice another. If their sum is 39, find the numbers. Solve using a two- order system. John made a rectangular pen for his dog using 28 feet of fencing. If the width of the pen is 2 feet more than one-half the length, what are the length and width of the pen?1 solutions Answer 67920 by checkley75(3666)   on 2007-08-19 13:38:50 (Show Source): You can put this solution on YOUR website!x+(2x-3)=90 3x=90+3 3x=93 x=93/3 x=31 for the first number &: 2*31-3=62-3=59 for the second number. proof 31+59=90 90=90
 Permutations/93300: The menu at a restaurant has 11 appetizers, 15 entrees, 10 desserts, and 8 beverages. The restaurant offers a dinner special that includes 1 appetizer, 1 entree, 1 dessert, and 1 beverage. In how many ways can a person order a dinner special at this restaurant?1 solutions Answer 67919 by checkley75(3666)   on 2007-08-19 13:35:52 (Show Source): You can put this solution on YOUR website!11*15*10*8=4,400 possible choices.
 Travel_Word_Problems/93296: A man travels for Town X to Town Y at an average rate of 50 mph and returns at an average rate of 40 mph. He takes 1/2 hr. longer than he would take if he made the round trip at an average of 45 mph. What is the distance from Town X to Town Y?1 solutions Answer 67917 by checkley75(3666)   on 2007-08-19 13:34:13 (Show Source): You can put this solution on YOUR website!d/50+d/40=(2d/45)+.5 (40d+50d)/2000=(2d+22.5)/45 90d/2000=(2d+22.5)/45 now cross multiply. 45*90d=4000d+45000 4050d-4000d=45000 50d=45000 d=45000/50 d=900 miles for the trip fron x to y. proof 900/50+900/40=1800/45+.5 18+22.5=40+.5 40.5=40.5
 Travel_Word_Problems/93052: The Joneses drove to their parents house at 45km/h. The return trip took 1 hour less because they traveled at 60km/h. How long did it take for them to get home?1 solutions Answer 67895 by checkley75(3666)   on 2007-08-19 08:27:34 (Show Source): You can put this solution on YOUR website!distance=rate*time 45*t=60(t-1) 45t=60t-60 -15t=-60 t=-60/-15 t=4 hours for the 45 km/h trip. proof 45*4=60*3 180=180
 expressions/93249: Simplify completely: (s2/tu) * (5t3u/6s) 1 solutions Answer 67894 by checkley75(3666)   on 2007-08-19 08:23:03 (Show Source): You can put this solution on YOUR website!you need to use some () to show if 5t3u is 5t^3u or 5t*3u
 Polynomials-and-rational-expressions/93058: Find the following product (3x + 5)^3 a)9x^2 + 30x + 25 b)9x^6 + 15x^3 + 15625 c)27x^3 + 135x^2 + 225x + 125 d)27x^3 + 135x^2 + 135x + 125 1 solutions Answer 67893 by checkley75(3666)   on 2007-08-19 08:19:32 (Show Source): You can put this solution on YOUR website!3X+5 3X+5 ---------------- 9X^2+15X+15X+25 9X^2+30X+25 3X+5 --------------------- 27X^3+90X^2+75X+45X^2+150X+125 27X^3+135X^2+225X+125 ANSWER C).
 Polynomials-and-rational-expressions/93245: I'd like for you to help me on this problem that I am having trouble with please: 2a(5a^3*b^5)^21 solutions Answer 67892 by checkley75(3666)   on 2007-08-19 08:13:39 (Show Source): You can put this solution on YOUR website!2A(5A^3*B^5)^2 2A(25A^6*B^10) 50A^7*2AB^10 ANSWER.
 expressions/93246: Subtract: (6p – w)/(w-4) - (4c+p)/(w-4) 1 solutions Answer 67891 by checkley75(3666)   on 2007-08-19 08:10:47 (Show Source): You can put this solution on YOUR website!(6P-W)/(W-4) -(4C+P)/(W-4) ------------------------ 6P-P-W-4C 5P-W-4C ANSWER.
 percentage/93255: I need help with this problem please: Lane invested \$14,000, part at 15% and part at 2%. If the total interest at the end of the year is \$1,060, how much did she invest at 15%? Thanks for your help!1 solutions Answer 67889 by checkley75(3666)   on 2007-08-19 08:07:24 (Show Source): You can put this solution on YOUR website!.15X+.02(14000-X)=1060 .15X+280-.02X=1060 .13X=1060-280 .13X=780 X=780/.13 X=6,000 INVESTED @ 15% PROOF .15*6000+.02*8000=1060 900+160=1060 1060=1060
 Polynomials-and-rational-expressions/93258: Factor out the GCF 6x³ + 18x² -24x1 solutions Answer 67887 by checkley75(3666)   on 2007-08-19 08:02:49 (Show Source): You can put this solution on YOUR website!6X^3+18X^2-24 6X(X^2+3X-4)
 Bodies-in-space/93229: jimmy works on a farm. one of his jobs is to fill up the liquid fertilizer tanks when the farmer is spreading the fertilizer. each tank is a cylinder with a diameter of 6 ft. and a height of 4ft. if there seven tanks and 1 cubic foot=7.5 gallons of liquid. how many gallons of fertilizer will all the tanks hold?1 solutions Answer 67871 by checkley75(3666)   on 2007-08-18 21:35:19 (Show Source): You can put this solution on YOUR website!V=B*H WHERE B= BASE AREA & H=HEIGHT V=3.14*3^2*4 V=113.04 CUBIC FT. PER TANK. 7*113.04=791.28 TOTAL CUBIC FEET. 791.28*7.5=5,934.6 GALLONS OF FERTILIZER.
 Bodies-in-space/93132: a pile of sand is in the shape of a cone. if the pile is 4 meters high and has a diameter of 7 meters, how many cubic meters of sand is in a pile?1 solutions Answer 67847 by checkley75(3666)   on 2007-08-18 17:24:52 (Show Source): You can put this solution on YOUR website!V=1/3BH V=1/3(PI3.5^2)*4 (PI=3.14) V=1/3*3.14*12.25*4 V=(3.14*12.25*4)/3 V=153.86/3 V=51.29 CUBIC METERS OF SAND.
 logarithm/93147: This question is from textbook I am in need of great assistance...calling on experts for this pitiful student. I don't get algebra, I don't get it..I don't get it......My mind is flying with variables that I cannot think straight. I have been working on this problem for two days (screaming).... 11.)The formula for calculating the amount of money returned for an initial deposit into a bank account or CD (certificate of deposit) is given by A = P(1+r/n)^nt A is the amount of the return. P is the principal amount initially deposited. r is the annual interest rate (expressed as a decimal). n is the number of compound periods in one year. t is the number of years. Carry all calculations to six decimals on each intermediate step, then round the final answer to the nearest cent. Suppose you deposit \$2,000 for 5 years at a rate of 8%. a)Calculate the return (A) if the bank compounds annually (n = 1). Round your answer to the hundredth's place. b)Calculate the return (A) if the bank compounds quarterly (n = 4). Round your answer to the hundredth's place. c)Does compounding annually or quarterly yield more interest? Explain why. d)If a bank compounds continuously, then the formula used is A=Pe^rt where e is a constant and equals approximately 2.7183. Calculate A with continuous compounding. Round your answer to the hundredth's place. e)A commonly asked question is, How long will it take to double my money? At 8% interest rate and continuous compounding, what is the answer? Round your answer to the hundredth's place. I am totally lost with this. Can someone help me. S.O.S.1 solutions Answer 67846 by checkley75(3666)   on 2007-08-18 17:18:06 (Show Source): You can put this solution on YOUR website!A=2000(1+.08/1)^1*5 A=2000(1.08)^5 A=2000*1.469 A=\$2,938.66 INTEREST FOR 5 YEARS PAID ANNUALLY. -------------------------- A=2000(1+.08/4)^4*5 A=200(1+.02)^20 A=2000(1.02)^20 A=2000*1.4859 A=\$2,971.89 INTEREST FOR 5 YEARS PAID QUARTERLY. QUARTERLY PAYMENTS ARE GREATER BECAUSE YOU ARE EARNING INTEREST ON INTEREST QUICKER. BY QUARTERS RATHER THAN BY YEAR. ------------------------------------------------------------------ ASSUMING YOU WANT A 5 YEAR INVESTMENT COMPOUNDED CONTINUOUSLY @ 8% THEN: A=2000*2.7183^.08*5 A=5436.6^.4 CAN'T CONTINUE AS I HAVE RUN OUT OF STEAM HERE ON THE FRACTIONAL EXPONENT. SORRY.
 Polynomials-and-rational-expressions/93177: If the Perimeter = 6x+6 and x=width, find the binomial representing the length. 1 solutions Answer 67843 by checkley75(3666)   on 2007-08-18 16:56:28 (Show Source): You can put this solution on YOUR website!6X+6=2X+2L 6X-2X+6=2L 2L=4X+6 L=2X+3 ANSWER FOR THE LENGTH. PROOF 2X+2(2X+3)=6X+6 2X+4X+6=6X+6 6X+6=6X+6
 Money_Word_Problems/93212: Please help me solve this: How many pounds of tea worth \$1.50 per pound should be mixed with tea worhth \$1.70 per pound to make 40 pounds of blended teas to sell at \$1.55 per pound? Thank you1 solutions Answer 67842 by checkley75(3666)   on 2007-08-18 16:47:52 (Show Source): You can put this solution on YOUR website!1.70X+1.50(40-X)=1.55*40 1.70X+60-1.50X=62 .20X=62-60 .20X=2 X=2/.20 X=10 POUNDS OF 1.70 COFFEE 40-10=30 POUNDS OF 1.50 COFFEE PROOF 1.70*10=1.50*30=62 17+45=62 62=62
 Volume/93213: If 10 cubic feet of water weigh approximatley 625 pounds, what is the weight of the water in a box shaped container, measuring 3 yards by 5 yards by 2 feet, that has been filled to capacity with water? Thanks1 solutions Answer 67841 by checkley75(3666)   on 2007-08-18 16:44:35 (Show Source): You can put this solution on YOUR website!9*15*2=270 CUBIC FEET OF WATER. 270*625/10=270*62.5=16,875 POUNDS.
 Numeric_Fractions/93214: A defence attorney charges her client \$4000 plus \$120 per hour. The formula R=120n + 4000 gives her revenue in dollars for n hours of work. What is her revenue for 100 hours of work? What is her revenue for 101 hours of work? By how much did the one extra hour of work increase the revenue? Please help me. Thank you in advance1 solutions Answer 67840 by checkley75(3666)   on 2007-08-18 16:40:10 (Show Source): You can put this solution on YOUR website!R=120N+4000 R=120*100+4000 R=12000+4000 R=16000 FOR 100 HOURS. R=120*101+4000 R=12120+4000 R=16120 FOR 101 HOURS OR AN INCREASE OF 16120-16000=\$120.
 Quadratic_Equations/93184: I need help to solve this problem I am having problems figuring it out Find the x - intercepts y=x^2-2x+4 thanks a million1 solutions Answer 67812 by checkley75(3666)   on 2007-08-18 09:06:23 (Show Source): You can put this solution on YOUR website!setting y=0 & solving for x values gives you the x intercepts: x^2-2x+4=0 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = x^2 -2x +4).
 Volume/93131: a cylindrical water tower has a radius of 10ft. and a height of twelve feet. what is the weigth of the water tower when it is full if one cubic foot of water weighs8.1 pounds1 solutions Answer 67794 by checkley75(3666)   on 2007-08-17 20:56:11 (Show Source): You can put this solution on YOUR website!Volume of this tower is: area of base=2piR base=2*3.14*10 base=6.28*10 base=62.8 ft^2 volume=height*base volume=12*62.8 volume=753.6 ft^3 is the volume; 753.6*8.1=6104.16 pounds is the weight of the water in the tower.