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# Recent problems solved by 'checkley77'

checkley77 answered: 12560 problems
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 Problems-with-consecutive-odd-even-integers/296071: Translate the problems into a pair of linear equations in two variables. Solve equations using either elimination or substitution. State your answer for the specified variable. A plane flies 400 miles with the wind and 300 miles against the wind in the same length of time. If the speed of the wind is 22 mph, what is the speed of the plane in still air?1 solutions Answer 213402 by checkley77(12569)   on 2010-04-24 19:05:05 (Show Source): You can put this solution on YOUR website!D=RT 400=(R+22)T WITH THE WIND. 400=RT+22T 300=(R-22)T AGAINST THE WIND. 300=RT-22T 400=RT+22T SUBTRACT ----------------- -100=-44T -44T=-100 T=-100/-44 T=2.27 HOURS FOR THE TRIP. 400=(R+22)2.27 400=2.27R+49.94 2.27R=400-49.94 2.27R=350.06 R=350.06/2.27 R=154.21 MPH FOR THE PLANE IN STILL AIR. PROOF: 300=(154.21-22)*2.27 300=132.21*2.27 300=300
 Surface-area/295950: A rectangular park having lenght of 72 m and breadth of 54 m is surrounded by a path of 2.5 m wide. Find the area of the path?1 solutions Answer 213401 by checkley77(12569)   on 2010-04-24 18:52:30 (Show Source): You can put this solution on YOUR website!AREA=(72+5)(54+5)-72*54 AREA=77*59-3,888 AREA=4,543-3,888 AREA=655 M^2 IS THE AREA OF THE PATH.
 Percentage-and-ratio-word-problems/295966: A trip to the White Mountains of New Hampshire from Boston will take you 2 3/4 hours. Assume you have traveled 1/11 of the way. How much longer will the trip take?1 solutions Answer 213400 by checkley77(12569)   on 2010-04-24 18:42:39 (Show Source): You can put this solution on YOUR website!10/11*2.75=27.5/11=2.5 HOURS LONGER FOR THE ENTIRE TRIP.
 Numbers_Word_Problems/295978: PROBLEM: The length of a rectangle is two feet more than twice the width. The area is 144 ft2 (squared). Find the length and width of the rectangle. If possible, could you show me how you got it? If not, no worries.... Thanks!1 solutions Answer 213399 by checkley77(12569)   on 2010-04-24 18:39:16 (Show Source): You can put this solution on YOUR website!L=2W+2 AREA=LW 144=(2W+2)W 144=2W^2+2W 2W^2+2W-144=0 2(W^2+W-72)=0 2(W-8)(W+9)=0 W-8=0 W=8 ANS. FOR THE WIDTH L=2*8+2=16+2=18 ANS. FOR THE LENGTH. PROOF: 144=8*18 144=144
 Graphs/295980: graph using the slope and the y-intercept 2x-y=51 solutions Answer 213398 by checkley77(12569)   on 2010-04-24 18:35:06 (Show Source): You can put this solution on YOUR website!2x-y=5 -Y=-2X+5 Y=2X-5 This line has a slope=2 & a Y intercept=5. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 2x +5).
 Expressions-with-variables/296006: The national debt of a small country is \$8,948,000,000 and the population is 2,355,000. What is the amount of debt per person? Please show your work on how you got your answer. Thanks.1 solutions Answer 213397 by checkley77(12569)   on 2010-04-24 18:31:06 (Show Source): You can put this solution on YOUR website!THE DEBT PER PERSON IS THE DEBT DIVIDED BY THE POPULATION: \$8,948,000,000/2,355,000=\$3,799.58 ANS.
 Expressions-with-variables/296007: A semicircular window of a radius 14 inches is o be laminated with a sunblock coating that costs \$.70 per square inch to apply. What is the total cost of coating the window to the nearest cent? Please show your work. Thanks.1 solutions Answer 213396 by checkley77(12569)   on 2010-04-24 18:24:53 (Show Source): You can put this solution on YOUR website!AREA=PIr2 AREA=3.14*14^2 AREA=3.14*196 AREA=615.44 IN^2 FOR THE CIRCLE. 615.44/2=307.72 IS THE AREA FOR THE SEMI CIRCLE. 307.72*.70=%215.40 IC THE COST OF COATING.
 Travel_Word_Problems/296015: Train A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 mph and B is traveling 48 mph. Train A passes the station at 7:15 a.m. If train B passes the same station at 7:45 a.m.,at what time will train B catch up to train A?1 solutions Answer 213394 by checkley77(12569)   on 2010-04-24 18:20:44 (Show Source): You can put this solution on YOUR website!D=RT D=40T FOR THE A TRAIN. D=48(T-.5) FOR THE B TRAIN. BECAUSE THE DISTANCES ARE EQUAL WE SET THE 2 EQUATIONS EQUAL 40T=48(T-.5) 40T=48T-24 40T-48T=-24 8T=24 T=24/8 T=3 HOURS AFTER TRAIN A LEAVES THE STATION, TRAIN B WILL CATCH TRAIN A. PROOF: 40*3=48(3-.5) 120=48*2.5 120=120
 Mixture_Word_Problems/296016: Soybean meal is 12% protein; cornmeal is 6% protein. How many pounds of each should be mixed together in order to get 240-lb mixture that is 11% protein?1 solutions Answer 213388 by checkley77(12569)   on 2010-04-24 18:02:27 (Show Source): You can put this solution on YOUR website!.12x+.06(240-x)=240*.11 .12x+14.4-.06x=26.4 .06x=26.4-14.4 .06x=12 x=12/.06 x=200 lb. of soybeans is needed. 240-200=40 lb. of cornmeal is needed. Proof: .12*200+.06*40=240*.11 24+2.4=2.64 2.64=2.64
 Word_Problems_With_Coins/296018: how many possible outcomes are there when 4 fair coins are tossed all at once?1 solutions Answer 213386 by checkley77(12569)   on 2010-04-24 17:57:42 (Show Source): You can put this solution on YOUR website!2^4=16 possible outcomes.
 expressions/296019: What is the Factor Expression for 9k2+24k+16 ?(9k2 = 9k Squared)1 solutions Answer 213385 by checkley77(12569)   on 2010-04-24 17:51:14 (Show Source): You can put this solution on YOUR website!9k2+24k+16 (3k+4)^2 ans.
 Graphs/296038: What graph matches with the function? y = 2(x + 2)2 - 21 solutions Answer 213384 by checkley77(12569)   on 2010-04-24 17:48:13 (Show Source): You can put this solution on YOUR website!y = 2(x + 2)2 - 2 y=2(x^2+4x+4)-2 y=2x^2+8x+8-2 y=2x^2+8x+6 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 2x^2 +8x +6).
 expressions/296054: 4/5(-15/11) I need some sever help on how to find the answer to this question1 solutions Answer 213382 by checkley77(12569)   on 2010-04-24 17:42:17 (Show Source): You can put this solution on YOUR website!4/5(-15/11) multiply numerators & multiply denominators. -60/55 reduce by dividing by both numerator & denominator by 5. -12/11 ans.
 expressions/296056: Final problem question for me (-8)(-5) + 7^ {2) someone please help me1 solutions Answer 213380 by checkley77(12569)   on 2010-04-24 17:39:16 (Show Source): You can put this solution on YOUR website!(-8)(-5) + 7^ {2) -8 TIMES -5=40 [NOTE: 2 NEGATIVES MULTIPLIED IS A PLUS] 7^2=7*7=49 THUS: 40+49=89 ans.
 Polynomials-and-rational-expressions/295397: A rectangular garden has a perimeter of 48 cm and an area of 140 sq. cm. What is the length of this garden?1 solutions Answer 212933 by checkley77(12569)   on 2010-04-22 18:57:47 (Show Source): You can put this solution on YOUR website!2L+2W=48 LW=140 OR L=140/W 2(140/W)+2W=48 280/W+2W=48 (280+2W*W)/W=48 (280+2W^2)/W=48 2W^2+280=48W 2W^2-48W+280=0 2(W^2-24W+140)=0 2(W-14)(W-10)=0 W-14=0 W=14 ANS L=140/14=10 ANS. W-10=0 W=10 ANS. L=140/10=14 ANS. PROOFS: 10*14=140 140=140 2*10+2*14=48 20+24=48 48=48
 Polynomials-and-rational-expressions/295398: factor the expression -28y2power +7t2power1 solutions Answer 212925 by checkley77(12569)   on 2010-04-22 18:50:16 (Show Source): You can put this solution on YOUR website!-28y^2+7t^2 -7(4y^2-t^2) -7(2y+t)(2y-t) ans.
 Quadratic-relations-and-conic-sections/295408: simplify -4ab/21c multiply 14c^2/ 22a^21 solutions Answer 212923 by checkley77(12569)   on 2010-04-22 18:44:05 (Show Source): You can put this solution on YOUR website!(-4ab/21c)(14c^2/22a^2) -4ab*14c^2/21c*22a^2 -56abc^2/462a^2c -4bc/33a ans.
 Radicals/295410: simplify the square root of 601 solutions Answer 212922 by checkley77(12569)   on 2010-04-22 18:35:49 (Show Source): You can put this solution on YOUR website!sqrt60=2sqrt15 or 7.746 ans.
 Linear-systems/295415: Find an equation of the line having the specified slope and containing the indicated point. Write your answer in slope-intercept form. m = -3; (- 7, 6) 1 solutions Answer 212921 by checkley77(12569)   on 2010-04-22 18:33:14 (Show Source): You can put this solution on YOUR website!Y=mX+b m = -3; (- 7, 6) 6=-3*-7+b 6=21+b b=6-21 b=-15 ans. for the Y intercept. Y=-X/3-15 ans.
 Volume/295418: The mass of 50 milliliters of corn syrup is 69 grams.What is the density,in grams per milliliter,or corn syrup? Density= Mass/Volume1 solutions Answer 212917 by checkley77(12569)   on 2010-04-22 18:29:23 (Show Source): You can put this solution on YOUR website!D=50/69=.72 G/ML ANS.
 Volume/295427: a cylinder has a volume of about 500cm^3 and a height of 10 cm. What is the length of the radius to the nearest tenth of a cm?1 solutions Answer 212912 by checkley77(12569)   on 2010-04-22 18:27:07 (Show Source): You can put this solution on YOUR website!V=PIR^2H 500=3.14*R^2*10 500=31.4*R^2 R^2=500/31.4 R^2=15.92 R=SQRT15.92 R=3.99 OR 4 CM. IS THE RADIUS.
 Trigonometry-basics/295431: The height of a triangle is three feet longer than the base. The area of the triangle is 35 square feet. What is the height and base of the triangle?1 solutions Answer 212910 by checkley77(12569)   on 2010-04-22 18:22:59 (Show Source): You can put this solution on YOUR website!H=B+3 A=BH/2 35=B(B+3)/2 35=(B^2+3B)/2 B^2+3B=35*2 B^2+3B=70 B^2+3B-70=0 (B+10)(B-7)=0 B-7=0 B=7 ANS. FOR THE BASE. H=7+3=10 ANS. FOR THE HEIGHT. PROOF: 35=7*10/2 35=70/2 35=35
 Polynomials-and-rational-expressions/294979: How do you factor 3x^2-18x+2160=0?1 solutions Answer 212659 by checkley77(12569)   on 2010-04-21 19:12:18 (Show Source): You can put this solution on YOUR website!3x^2-18x+2160=0 3(x^2-6x+720)=0 3(x+24)(x-30)=0 x+24=0 x=-24 ans. x-30=0 x=30 ans.
 Numbers_Word_Problems/294980: Find two consecutive even integers such that the sum of the first and the reciprocal of the second is 9/4. This problem we are to come up with the formula and write it out as if we were teaching someone how to do it. So far I think it should look like this (but not really sure): 1/x+1/x+1=9/4. If I am going in the right direction, I can complete the problem. Im just not sure this is how to set it up.1 solutions Answer 212654 by checkley77(12569)   on 2010-04-21 19:08:48 (Show Source): You can put this solution on YOUR website!1/x+1/x+1=9/4 ----------------- Let x & (x+2) be the 2 consecutive EVEN integers. The reciprocal of the second integer is 1/(x+2) x+1/(x+2)=9/4 Find the common denominator for the left side terms. [x(x+2)+1]/(x+2)=9/4 [x^2+2x+1)/(x+2)=9/4 Cross multiply. 4(x^2+2x+1)=9(x+2) 4x^2+8x+4=9x+18 4x^2+8x-9x+4-18=0 4x^2-x-14=0 (4x+7)(x-2)=0 x-2=0 x=2 ans. for the first even integer. 2+2=4 ans. for the second even integer. Proof: 2+1/(2+2)=9/4 2+1/4=9/4 8/4+1/4=9/4 9/4=9/4
 Volume/294985: Okay; You people lie. My question has not benn answered like you said it would be. Why would you lie to everybody? I could not study because of you. Everyone expects you guys to help and all you do is take people for granted, What jerks! If you really think about it that is the right word to be calling you guys. I'm sorry to tell you these TRUTHFUL words. You guys are welcome that you wasted my time waiting for an email with the answer that i was told i would get, but did i get that answer? I think not. Don't be expecting alot of people in your buisness if all you do is lie to them and don't give them what you pledge and they expected. Thank you. You wasted my time and alot of others too. You are NOT welcome for waisting mine and others personal hours. Good day to you.1 solutions Answer 212647 by checkley77(12569)   on 2010-04-21 18:56:19 (Show Source): You can put this solution on YOUR website!I'M SORRY YOUR PROBLEM WASN'T ANSWERED. WE ARE VOLUNTEERS AND DO NOT GUARANBTEE THAT EVERY PROBLEM WILL BE ANSWERED IN A TIMELY MANNER. PERSONALLY I SOLVE EVERY PROBLEM I ENCOUNTER FOR WHICH I KNOW I CAN SOLVE BUT I CANNOT SOLVE ALL PROBLEMS SO I SHIP THEM AND LET OTHERS SOLVE THEM. IF YOU CAN FIND A BETTER MATH SOLVING SYSTEM, I SUGGEST YOU GIVE THEM A TRY.
 Inequalities/294964: A right triangle has the verticlal side 15cm and a volume of 105cm, what is the base?1 solutions Answer 212645 by checkley77(12569)   on 2010-04-21 18:48:51 (Show Source): You can put this solution on YOUR website!V=BH/2 105=B*15/2 105=15B/2 15B=2*105 15B=210 B=210/105 B=2 ANS. FOR THE BASE. PROOF: 105=2*105/2 105=105
 Money_Word_Problems/294965: Lakeitha earned \$12,000 more in her accounting job this year. She invested the money and split it between two separate accounts. One was a certificate of deposit that paid 7.25% interest. The other was a money market account that paid 5.4% interest. At the end of one year, she had made \$730. How much did she invest in the money market account?1 solutions Answer 212644 by checkley77(12569)   on 2010-04-21 18:45:17 (Show Source): You can put this solution on YOUR website!.0725X+.054(12,000-X)=730 .0725X+648-.054X=730 .0185X=730-648 .0185X=82 X=82/.0185 X=\$4,432.43 AMOUNT INVESTED @ 7.25%. 12,000-4,432.43=\$7,567.57 AMOUNT INVESTED @ 5.4%. PROOF: .0725*4,432.43+.054*7,567.57=730 321.35+408.65=730 730=730
 Rectangles/294968: Name the lenghts of the sides of three rectangles with perimeters of 12 units.Use only whole numbers1 solutions Answer 212638 by checkley77(12569)   on 2010-04-21 18:21:13 (Show Source): You can put this solution on YOUR website!Perimeter=2L+2W 12=2*2+2*4 12=4+8 12=12 ---------- 12=2*3+2^3 12=6+6 12=12 ---------- 12=2*5+2*1 12=10+2 12=12
 decimal-numbers/294972: A frame cabin has a rectangular front with a 30ft base and a height of 20ft. the front is to be glassed the glass cost 3 dollars per square foot what is the cost of the glass?1 solutions Answer 212637 by checkley77(12569)   on 2010-04-21 18:17:38 (Show Source): You can put this solution on YOUR website!30*20*3=\$1,800 is the cost of the glass.
 Equations/294945: Convert to decimal notation. 2.0592 × 10-7 0.000000020592 0.0000020592 0.00000020592 -20,592,000 1 solutions Answer 212633 by checkley77(12569)   on 2010-04-21 18:10:32 (Show Source): You can put this solution on YOUR website!2.0592 × 10-7 To multiply by 10^-7 move the decimal point 7 places to the left. 0.00000020592 ans.
 Inequalities/294948: t+14>8 my son has a work sheet of these problems that he needs help with can you explain one so i can review and teach him thankyou1 solutions Answer 212621 by checkley77(12569)   on 2010-04-21 17:49:49 (Show Source): You can put this solution on YOUR website!t+14>8 SUBTRACT 14 FROM BOTH SIDES. T>8-14 T>-6 ANS. PROOF: LET T=-5 -5+14>8 9>8