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# Recent problems solved by 'checkley77'

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 Age_Word_Problems/243305: Amy has the same number of sisters as brothers. Her brother Jason has twice as many sisters as brothers. How many children are in the family?1 solutions Answer 178237 by checkley77(12569)   on 2009-11-28 17:12:09 (Show Source): You can put this solution on YOUR website!Answer=7 children. 4 girl & 3 boys Amy has 3 sisters & 3 brothers. Jason has 4 sisters & 2 brothers or twice as many sisters as brothers.
 Polynomials-and-rational-expressions/243306: x^2+3x+2 + x^2-2x-1 1 solutions Answer 178235 by checkley77(12569)   on 2009-11-28 17:02:55 (Show Source): You can put this solution on YOUR website!If you mean to add these two equations then: x^2+3x+2 + x^2-2x-1 ------------ 2x^2+x+1
 Quadratic_Equations/243190: Factor completely 175v^2+490vt+343t^2 1 solutions Answer 178192 by checkley77(12569)   on 2009-11-28 11:18:48 (Show Source): You can put this solution on YOUR website!175v^2+490vt+343t^2 7(25v^2+70vt+49t^2) 7(5x+7t)^2 ans.
 Geometry_Word_Problems/243191: If a room is 30 ft long by 6 yd wide, write the ratio of the length to the width of the room.1 solutions Answer 178191 by checkley77(12569)   on 2009-11-28 11:15:29 (Show Source): You can put this solution on YOUR website!30:6*3 30:18 is the ratio of the length to the width in feet. (30/3):6 10:6 is the ration of the length to width in yards.
 Distributive-associative-commutative-properties/243192: for a vacation, baylee drove 300 miles away from her home. she stoppped 2/3 of the way there. she drove for 4 hours. in miles per hour, what was her average speed?1 solutions Answer 178190 by checkley77(12569)   on 2009-11-28 11:12:33 (Show Source): You can put this solution on YOUR website!2/3*300=200 miles was her driving distance. d=rt 200=r*4 r=200/4 r=50 mph. ans.
 Surface-area/243200: A triangle has sides with lengths in centimeters that are consecutive even integers. Find the lengths if the perimeter is 186 cm.1 solutions Answer 178187 by checkley77(12569)   on 2009-11-28 10:51:04 (Show Source): You can put this solution on YOUR website!Let x, x+2 & x=4 be the 3 even integers. x+x+2+x+4=186 3x=186-2-4 3x=180 x=180/3 x=60 cm. for the shortest side. 60+2=62 cm. for the middle side. 60+4=64 cm. for the longest side. Proof: 60+62+64-186 186=186
 percentage/242999: High-risk funds. Of the \$50,000 that Natasha pocketed on her last real estate deal, \$20,000 went to charity. She invested part of the remainder in Dreyfus New Leaders Fund with an annual yield of 16% and the rest in Templeton Growth Fund with an annual yield of 25%. If she made \$6060 on these investments in 1 year, then how much did she invest in each fund?1 solutions Answer 178184 by checkley77(12569)   on 2009-11-28 10:20:14 (Show Source): You can put this solution on YOUR website!50,000-20,000=30,000 was her investment amount. .25x+.16(30,000-x)=6060 .25x+4800-.16x=6060 .09x=6060-4800 .09x=1260 x=1260/.09 x=14,000 invested @ 25% 30,000-14,000=16,000 invasted @ 16% proof: .25*14,000+.16*16,000=6,060 3,500+2,560=6,060 6,060=6,060
 Polynomials-and-rational-expressions/243034: What is d^2+3d/ d^2-2d minus -4/d?1 solutions Answer 178181 by checkley77(12569)   on 2009-11-28 10:06:57 (Show Source): You can put this solution on YOUR website!(d^2+3d)/(d^2-2d)-(-4/d) d(d+3)/d(d-2)+4/d cancel out the d fron the first fraction (d+3)/(d-2)+4/d find LCD & add. [d(d+3)+4(d-2)]/d(d-2) (d^2+3d+4d-8)/d(d-2) (d^2+7d-8)/d(d-2) (d+8)(d-1)/d(d-2) ans.
 Graphs/243074: A caterer charges a fixed cost for preparing dinner plus an additional cost for each person served. You know the cost for 100 students will be \$750 and the cost for 150 students will be \$1050. Find caterers fixed cost and the cost per student served. Can you help solve? 1 solutions Answer 178177 by checkley77(12569)   on 2009-11-28 09:56:06 (Show Source): You can put this solution on YOUR website!x+100y=750 x+150y=1050 subtract. -------------------------- -50y=-300 y=-300/-50 y=\$6 per person. x+100*6=750 x+600=750 x=750-600 x=\$150 is the fixed cost. Proof: 150+150*6=1050 150+900=1050 1050=1050
 Equations/243089: solve 5/x + x/x+2 = 4/x^2+2x1 solutions Answer 178176 by checkley77(12569)   on 2009-11-28 09:51:45 (Show Source): You can put this solution on YOUR website!5/x + x/(x+2) = 4/(x^2+2x) 5/x+x/(x+2)=4/x(x+2) combine the left side terms. [5(x+2)+x^2]/x(x+2)=4/x(x+2) multiply both sides by x(x+2) 5(x+2)+x^2=4 5x+10+x^2=4 x^2+5x+10-4=0 x^2+5x+6=0 (x+3)(x+2)=0 x+3=0 x=-3 ans. x+2=0 x=-2 ans.
 Polynomials-and-rational-expressions/243096: Please help..... Simplify by removing factors of 1: m^2-36/(m+6)^2 mulitply and simplify 9x^2/4x^2-32x +64 times 4x-16/3x1 solutions Answer 178175 by checkley77(12569)   on 2009-11-28 09:36:27 (Show Source): You can put this solution on YOUR website! m^2-36/(m+6)^2 (m+6)(m-6)/(m+6)(m+6) cancel out the (m+6) terms from the numerator & denominator. (m-6)/(m+6) ---------------------------- 9x^2/(4x^2-32x +64)*(4x-16)/3x cross multiply. 9x^2(4x-16)/3x(4x^2-32x+64) cancel out 3x from the numeratot & denominator. 3x(4x-16)/(4x^2-32x+64)factor numerator % denominator. 3x*4(x-4)/4(x^2-8x+16) 12x(x-4)/4(x-4)(x-4) cancel out the 4 & (x-4) terms. 3x/(x-4) ans.
 Geometry_Word_Problems/243109: A rectangle´s length is 8 cm more than three times its width. If the perimeter is 128 cm, find the length and width.1 solutions Answer 178173 by checkley77(12569)   on 2009-11-28 09:24:56 (Show Source): You can put this solution on YOUR website!L=3W+8 2L+2W=128 2(3W+8)+2W=128 6W+16+2W=128 8W=128-16 8W=112 W=112/8 W=14 ANS. FOR THE WIDTH. L=3*14+8 L=42+8 L=50 ANS. FOR THE LENGTH. PROOF: 2*50+2*14=128 100+28=128 128=128
 Graphs/243118: steps to this equation y=x+4 1 solutions Answer 178171 by checkley77(12569)   on 2009-11-28 09:15:46 (Show Source): You can put this solution on YOUR website!If this is a linear equation then: y=x+4 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x +4).
 Systems-of-equations/243124: how do I solve 3(2+2)= X/21 solutions Answer 178170 by checkley77(12569)   on 2009-11-28 09:12:27 (Show Source): You can put this solution on YOUR website!3(2+2)= X/2 3*4=x/2 12=x/2 x=1282 x=24 ans. Proof: 3(2+2)=24/2 3*4=12 12=12
 Miscellaneous_Word_Problems/243132: A nickel is worth \$0.05 and is 0.075 inches thick. If a stack of nickels is as tall as Bob, whose height is 5 3/4 feet what is the value of this stack? A \$46 B \$45 c) \$34.50 d) \$0.26 E none of these 1 solutions Answer 178167 by checkley77(12569)   on 2009-11-28 08:56:23 (Show Source): You can put this solution on YOUR website!5 3/4 FT=5.75*12=69 INCHES 69/.075=920 NUMBER OF NICKELS. .05*920=\$46 ANS. A)
 Geometry_Word_Problems/243135: A building casts a shadow 26 m long. At the same time, the shadow cast by a 63 cm tall pole is 60 cm long. Find the height of the building. A. 145.4 m B. 27.3 m C. 25.8 m D. 24.8 m E. 23.3 m1 solutions Answer 178166 by checkley77(12569)   on 2009-11-28 08:51:52 (Show Source): You can put this solution on YOUR website!x/26=63/60 60x=63*26 60x=1,638 x=1,638/60 x=27.3 cm tall is the height of the building. ANSWER. B).
 Travel_Word_Problems/243143: a train leaves the station traveling west at 50 mph. One hour later a second train leaves the station traveling west on the same track traveling 65 mph. How many hours will it take the second train to crash into the back of the first train1 solutions Answer 178159 by checkley77(12569)   on 2009-11-28 08:47:30 (Show Source): You can put this solution on YOUR website!d=rt d=50t d=65(t-1) 50t=65(t-1) 50t=65t-65 50t-65t=-65 -15t=-65 t=-65/-15 t=13/3 or 4 1/3 hours after the first train leaves the station they will crash. Proof: 50*13/3=65(13/3-1) 650/3=65(13/3-3/3) 650/3=65(10/3) 650/3=650/3
 Mixture_Word_Problems/243145: A beaker contains a solution that is 15% alcohol. In another beaker is a solution that is 40% alcohol. How mcuh of each should be mixed to obtain 9 L of solution that is 25% alcohol?1 solutions Answer 178157 by checkley77(12569)   on 2009-11-28 08:38:50 (Show Source): You can put this solution on YOUR website!.40x+.15(9-x)=.25*9 .40x+1.35-.15x=2.25 .25x=2.25-1.35 .25x=.9 x=.9/.25 x=3.6 L of 40% solution is used. 9-3.6=5.4 L of 15% solution is used. Proof: .40*3.6+.15*5.4=2.25 1.44+.81=2.25 2.25=2.25
 expressions/243151: (7b-2b)^2 devide by(5b^2)1 solutions Answer 178154 by checkley77(12569)   on 2009-11-28 08:33:36 (Show Source): You can put this solution on YOUR website!(7b-2b)^2 divided by(5b^2) 5b^2/5b^2=1 ans.
 expressions/243152: (7b-2b)^2 devide by(5b^2)1 solutions Answer 178153 by checkley77(12569)   on 2009-11-28 08:32:27 (Show Source): You can put this solution on YOUR website!(7b-2b)^2 divided by(5b^2) 5b^2/5b^2=1 ans.
 expressions/243159: 27 /45 = A /5 = 9 /B = C/225 = 60 /D find (C - B) / (A x D) A. 13,000 B. 4000 C. 0.4 D -365 E -13651 solutions Answer 178152 by checkley77(12569)   on 2009-11-28 08:25:43 (Show Source): You can put this solution on YOUR website!27 /45 = A /5 = 9 /B = C/225 = 60 /D find (C - B) / (A x D) 27/45=.6 .6=a/5 a=5*.6=3 ans. .6=9/b .6b=9 b=9/.6 b=15 ans. .6=c/225 c=.6*225 c=135 ans. .6=60/d .6d=60 d=60/.6 d=100 ans (135-15)/(3*100) 120/300=.4 ans. C).
 Quadratic_Equations/243164: find three values of k for which the expression is factorable1 solutions Answer 178151 by checkley77(12569)   on 2009-11-28 08:17:20 (Show Source): You can put this solution on YOUR website!3x^2-6x+k Let k=0 3x^2-6x 3x(x-2) ---------------- Let k=3 3x^2-6x+3 (3x-3)(x-1) 3(x-3)(x-1) ---------------- Let k=-9 3x^2-6x-9 (3x+3)(x-3) 3(x+3)(x-3)
 Linear-equations/243163: write an equation in slope intercept form for a line that passes through the given points (7,-2) and (2,6)1 solutions Answer 178150 by checkley77(12569)   on 2009-11-28 08:08:27 (Show Source): You can put this solution on YOUR website!(7,-2) and (2,6) Slope=(y2-y1)/(x2-x1) (6+2)/(2-7) 8/-5=-8/5 ans. for the slope. Y=mX+b -2=-8/5*7+b -2=-56/5+b b=-2+56/5 b=-10/5+56/5 b=46/5 ans. for the Y intervept. Y=-5x/8+46/5 (graph 300x200 pixels, x from -6 to 10, y from -10 to 12, -8x/5 +46/5).
 Geometry_Word_Problems/242998: Please help me solve: A landscaper wants to enclose a rectangle garden with a fence. There is 80 feet of fence availabled for this job. What would the dimesions of the garden be if he wants to maximize the area of the garden? I know area=length*width and 2x+2y=80, but then I got stuck. Thanks in advance for your help!1 solutions Answer 178021 by checkley77(12569)   on 2009-11-27 14:24:13 (Show Source): You can put this solution on YOUR website!The maximum area for a rectangle is a square. 4x=80 x=80/4 x=20 ft. per side. Proof: 20*20=400 ft^2. Try any other set of sides. 19*21=399 ft^2
 Rectangles/243000: please help me solve this: the area and the perimeter have to be the same on a rectangle what could they be?1 solutions Answer 178020 by checkley77(12569)   on 2009-11-27 14:13:26 (Show Source): You can put this solution on YOUR website!Area=perimeter. xy=2x+2y xy=2(x+y) 3*6=2(3+6) 18=2*9 18=18
 Sequences-and-series/242961: Find the 345th term of an aritmetic sequence whose 1st term is 4 and whose common difference is 12. 1 solutions Answer 178003 by checkley77(12569)   on 2009-11-27 11:03:18 (Show Source): You can put this solution on YOUR website!L=a+(n-1)d L=4+(345-1)12 L=4+344*12 L=4+4,128 L=4,132 ans.
 Equations/242987: Please help me solve this equation: 4x^2-6x -4 = 0. 1 solutions Answer 178002 by checkley77(12569)   on 2009-11-27 10:51:32 (Show Source): You can put this solution on YOUR website!4x^2-6x -4 = 0 (4x+2)(x-2)=0 4x+2=0 4x=-2 x=-2/4 x=-1/2 ans. x-2=0 x=2 ans.
 Equations/242988: Please help me solve this equation: 8x^2 +6x +5=01 solutions Answer 178001 by checkley77(12569)   on 2009-11-27 10:48:58 (Show Source): You can put this solution on YOUR website!8x^2 +6x +5=0 x=(-6+-sqrt[6^2-4*8*5])/2*8 x=(-6+-sqrt[36-160])/16 x=(-6+-sqrt-124)/16 x=(-6+-11.1355i)/16 x=-6/16+-11.1355i/16 x=-.375+-.696 ans.
 Percentage-and-ratio-word-problems/242947: BANKING: On July 1, Sari deposited \$540 in a bank account paying simple interest. Exactly one year, he closed the account and withdrew \$564.30. At what percent was interest paid on his account during the year? (In class we are showing it in fractions, and I need help. Can you also so the steps out please. And thank you.) 1 solutions Answer 178000 by checkley77(12569)   on 2009-11-27 10:30:52 (Show Source): You can put this solution on YOUR website!540*x=564.50 x=564.50/540 x=1.04537 or 4.537% interest rate.
 Miscellaneous_Word_Problems/242963: If a round 8-inch diameter pizza serves two students, how many students should two 12-inch diameter pizzas serve? a. 9 b. 8 c. 6 d. 4 e. NG 1 solutions Answer 177998 by checkley77(12569)   on 2009-11-27 10:19:36 (Show Source): You can put this solution on YOUR website!area=pid area=3.14*8 area=25.12 in^2 25.12/2=12.56 in^2 per student. area=2*3.14*12 area=2*37.68 area=75.36 75.36/12.56=6 students worth of pizza. Answer d).
 Matrices-and-determiminant/242976: by using row reduction solve the following simultaneous equation. 2x-y=5 3x+4y=13 1 solutions Answer 177996 by checkley77(12569)   on 2009-11-27 10:10:58 (Show Source): You can put this solution on YOUR website!2x-y=5 multiply by 4 & add. 3x+4y=13 8x-4y=20 --------------- 11x=33 x=3/11 x=3 ans. 2*3-y=5 6-y=5 -y=5-6 -y=-1 y=1 ans. Proof: 3*3+4*1=13 9+4=13 13=13