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# Recent problems solved by 'checkley77'

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 Square-cubic-other-roots/234736: I need to simplify by factoring: sqrt 18a^2b1 solutions Answer 173073 by checkley77(12569)   on 2009-11-03 19:19:08 (Show Source): You can put this solution on YOUR website!sqrt 18a^2b sqrt(9*2a^2b) 3a*sqrt(2b) ans.
 Linear-equations/234737: -x+2y=71 solutions Answer 173072 by checkley77(12569)   on 2009-11-03 19:17:03 (Show Source): You can put this solution on YOUR website!-x+2y=7 2y=x+7 y=x/2+7/2 y=x/2+3.5 (graph 300x200 pixels, x from -8 to 5, y from -10 to 10, x/2 +3.5).
 Sequences-and-series/234455: for the series 2+4+8+16+.......... find the sum of 5 terms1 solutions Answer 172931 by checkley77(12569)   on 2009-11-03 10:12:27 (Show Source): You can put this solution on YOUR website!SERIES=AR^(N-1)=2*2^(5-1)=2*2^4=2*16=32 2+4+8+16+32 SUM=(A-RL)/(1-R) WHERE A=THE FIRST TERM, R=COMMON RATIO & L=LAST TERM. SUM=(2-2*32)/(1-2)=(2-64)/-1=-62/-1=62 ANSWER.
 Polynomials-and-rational-expressions/234456: The polynomial 0.041h - 0.018A - 2.69 can be used to estimate the lung capacity, in liters, of a female with height h cm and age A years. Find the lung capacity of a 22-year-old woman who is 188 cm tall. Round to the nearest liter. 1 solutions Answer 172930 by checkley77(12569)   on 2009-11-03 09:56:42 (Show Source): You can put this solution on YOUR website!0.041h - 0.018A - 2.69 .041*188-.018*22-2.69 7.708-.396-2.69=4.622 OR 5 LITERS ANS.
 Finance/234464: Two packages together weigh 32 kilograms the smaller package weighs 6 kilograms less than the larger. How much does each package weigh? Use the variable s and L show setup and work. This is what I have so far but I am confused now... s + L = 32 -2(s+L=32) -2s+-2L= -2(32) -2s -2L = -64 -2s-2L = -64 2s + 6L =1 solutions Answer 172929 by checkley77(12569)   on 2009-11-03 09:51:02 (Show Source): You can put this solution on YOUR website!s + L = 32 -2(s+L=32) -2s+-2L= -2(32) -2s -2L = -64 -2s-2L = -64 2s + 6L = My solution would be: S+L=32 OR S=32-L S=L-6 NOW SET THESE 2 EQUATIONS EQUAL TO EACH OTHER. S=S OR: L-6=32-L L+L=32+6 2L=38 L=38/2 L=19 KG. FOR THE LARGER PACKAGE. S+19=32 S=32-19 S=13 KG. FOR THE SMALLER PACKAGE.
 Problems-with-consecutive-odd-even-integers/234465: Two times the least of three consecutive odd integers exceeds three times the greatest by 15. What are the integers?1 solutions Answer 172927 by checkley77(12569)   on 2009-11-03 09:41:51 (Show Source): You can put this solution on YOUR website!Let x, x+2 & x+4 be the 3 odd integers. 2x>3(x+4)+15 2x>3x+12+15 2x-3x>27 -x>27 x<-27 (Note: when dividing by a negative value the > sign changes to a < sign). Proof: Let x=-26 2*-26>3(-26+4)+15 -52>3*-22+15 -52>-66+15 -52>-51
 percentage/234473: An instrument store gives a 10% discount to all students off the original cost of an instrument. During a back to school sale an additional 15% is taken off the discounted price. Julie, a student at the local high school, purchases a flute for \$306. How much did it originally cost? A. \$325 B. \$375 C. \$400 D. \$408 E. \$425 I was given the correct answer but I dont know how to get it. 1 solutions Answer 172925 by checkley77(12569)   on 2009-11-03 09:32:44 (Show Source): You can put this solution on YOUR website!306=(1-.15)x 306=.85x x=306/.85 x=360 price after the first discount. 360=(1-.10)x 360=.9x x=360/.9 x=400 original price of the flute. Answer C).
 Geometric_formulas/234482: a circular island of diameter 100 yards is surrounded by a concentric circular moat whose area equals that of the island .which of the following best approximates the width of the moat ? a) 20 yards b) 30 yards c) 50 yards d)70 yards e) 100 yards1 solutions Answer 172923 by checkley77(12569)   on 2009-11-03 09:26:16 (Show Source): You can put this solution on YOUR website!Area=pir^2=3.14*(100/2)^2=3.14*50^2=3.14*2,500=7,850 yds.^2 2*7,850=pir^2 15,700=3.14*r^2 r*2=15,700/3.14 r^2=5,000 x=sqrt5,000 x=70.71 yds. is the total radius of the island & the moat. Width of the moat=50+x=70.71=20.71 yds. is the width of the moat. Answer A)
 Linear_Equations_And_Systems_Word_Problems/234485: The price of admission for a ticket was \$10 for adults and \$3 for children. 520 tickets were sold, the resulting revenue was \$3450. How many adults and how many children attended the concert?1 solutions Answer 172919 by checkley77(12569)   on 2009-11-03 09:17:28 (Show Source): You can put this solution on YOUR website!a+c=520 or a=520-c 10a+3c=3450 10(520-c)+3c=3450 5200-10c+3c=3450 -7c=3450-5200 -7c=-1750 c=1750/7 c=250 number of children tickets sold. a+250=520 a=520-250 a=270 adult tickets sold. Proof: 10*270+3*250=3450 2700+750=3450 3450=3450
 Travel_Word_Problems/234486: A train runs at a speed of 10 km per hour greater than half the speed of the other train. The former runs 175 km in 5 hours. What is the speed of the latter.1 solutions Answer 172912 by checkley77(12569)   on 2009-11-03 09:04:53 (Show Source): You can put this solution on YOUR website!175/5=35 kmh. for the former train. 10+35/2=10+17.5=27.5 kmh. for the latter train.
 Points-lines-and-rays/234489: The length of each side of triangle ABC is a prime number. Its perimeter is also a prime number. Find the smallest possible perimeter. 1 solutions Answer 172910 by checkley77(12569)   on 2009-11-03 09:01:01 (Show Source): You can put this solution on YOUR website!The sides=1 & the perimeter=3. 1+1+1=3
 Sequences-and-series/234492: What are the next two terms in this sequence? 15, 30, 20, 27, 25, 24, 30, 21, 35, 18, ___, ___ 1 solutions Answer 172909 by checkley77(12569)   on 2009-11-03 08:58:27 (Show Source): You can put this solution on YOUR website!This sequence requires a 2 level solution. 15, 30, 20, 27, 25, 24, 30, 21, 35, 18, 6, 15 First find the difference. +15, -10, +7, -2, -1, +6, -9, -14,-17, Now find another level of differences. ????+5, -3, +5, -3, +5, -3, +5, -3, +5, -3, Calculate the first missing number: -17+5=-12+18=6 ans. Calculate the next number: 18-6=12-3=9+6=15 ans.
 Inequalities/234494: 4(3x -2) > 12(x + 1) 1 solutions Answer 172904 by checkley77(12569)   on 2009-11-03 08:29:18 (Show Source): You can put this solution on YOUR website!4(3x -2) > 12(x + 1) 12x-8>12x+12 12x-12x>12+8 0>20 no solution for x.
 Equations/234497: What is the translation of the statement"w is greater than -3 and less than 4"? A}-3 B}-3>w>4 C}-34 D}-3>w<41 solutions Answer 172903 by checkley77(12569)   on 2009-11-03 08:26:21 (Show Source): You can put this solution on YOUR website!"w is greater than -3 and less than 4"? -3>w<4 ans. D)
 Complex_Numbers/234513: How do you factor 2b^2+13b-7 so far i have (2b+ )(b- )1 solutions Answer 172899 by checkley77(12569)   on 2009-11-03 08:23:37 (Show Source): You can put this solution on YOUR website!2b^2+13b-7 (2b-1)(b+7) ans.
 Angles/234500: If the difference between two complementary angles is 36 degrees, what are the measures of the two angles1 solutions Answer 172898 by checkley77(12569)   on 2009-11-03 08:19:34 (Show Source): You can put this solution on YOUR website!x+y=90 x-y=36 now addthem. ------------ 2x=126 x=126/2 x=63 degrees ans. 63+y=90 y=90-63 y=27 ans. Proof: 63-27=36 36=36
 Quadratic_Equations/234505: investment of 4000 in 3 months with interest of 6.1 what was the earned amount?1 solutions Answer 172896 by checkley77(12569)   on 2009-11-03 08:14:36 (Show Source): You can put this solution on YOUR website!P=(1+r/n)^t/n Where P=principle, r=rate (in decimal form),n=number of periods per year. t=number of years. 4,000(1+.061/4)^1/4 4,000(1+.01525)^.25 4,000(1.01525)^.25 4,000*1.00379=\$4,015.16 ans.
 Evaluation_Word_Problems/234375: the attendance at a school concert was 578. admission cost \$2.00 for adults and \$1.50 for children. the receipts for the concert were \$985.00. how many adults and how many children attended the concert?1 solutions Answer 172835 by checkley77(12569)   on 2009-11-02 21:48:54 (Show Source): You can put this solution on YOUR website!A+C=578 OR A=578-C 2A+1.5C=985 2(578-C)+1.5C=985 1156-2C+1.5C=985 -.5C=985-1156 -.5C=-171 C=-171/-.5 C=342 CHILDREN'S TICKETS WERE SOLD. A=578-342=236 ADULT TICKETS WERE SOLD. PROOF: 2*236+1.5*342=985 472+513=985 985=985
 Polynomials-and-rational-expressions/234376: [40/(x-2)] - 1 = [42/(x+2)] Solve for x: TRIED: and got -x^2 - 2x + 168 = 0 ; but this is unfactorable... unsolveable?1 solutions Answer 172833 by checkley77(12569)   on 2009-11-02 21:43:17 (Show Source): You can put this solution on YOUR website!-x^2 - 2x + 168 = 0 THIS EQUATION IS FACTORABLE X^2+2X-168=0 (X-12)(X+14)=0 X-12=0 X=12 ANS X+14=0 X=-14 ANS. PROOF, IF YOU SOLVED THE EQUATION CORRECTLY FOLLOWS: [40/(x-2)] - 1 = [42/(x+2)] [40/(12-2)]-1=[42/(12+2) 40/10-1=42/14 4-1=3 3=3 AND: [40/(-14-2)]-1=[42/(-14+2) (40/-16)-1=42/-12 -2.5-1=-3.5 -3.5=-3.5
 Evaluation_Word_Problems/234377: A jar of quarters and dimes contains \$15.25. their are 103 coins in all. how many of each are their?1 solutions Answer 172821 by checkley77(12569)   on 2009-11-02 21:24:51 (Show Source): You can put this solution on YOUR website!Q+D=103 OR Q=103-D .25Q+.10D=15.25 .25(103-D)+.10D=15.25 25.75-.25D+.10D=15.25 -.15D=15.25-25.75 -.15D=10.50 D=10.50/.15 D=70 NUMBER OF DIMES. 103-70=33 NUMBER OF QUARTERS. PROOF: .25*33+.10*70=15.25 8.25+7=15.25 15.15=15.25
 Quadratic_Equations/234378: how do you solve this equations m4+7m3+12m2=01 solutions Answer 172817 by checkley77(12569)   on 2009-11-02 21:19:24 (Show Source): You can put this solution on YOUR website!m^4+7m^3+12m^2=0 FIRST WE EXTRACT THE M^2 TERM. M^2(M^2+7M+12)=0 NOW WE FACTOR THE QUADRATIC EQUATION. M^2(M+4)(M+3)=0 NOW WE SET EACH TERM EQUAL TO ZERO. M^2=O M=0 ANS. M+4=0 M=-4 ANS. M+3=0 M=-3 ANS.
 Linear-equations/234380: Translate the problem into a pair of linear equations in two variables. A sum of money amounting to \$3.80 consist of dimes and quarters. If there are 20 coins in all, how many are quarters?1 solutions Answer 172814 by checkley77(12569)   on 2009-11-02 21:02:47 (Show Source): You can put this solution on YOUR website!Q+D=20 OR Q=20-D .25Q+.10D=3.80 .25(20-D)+.10D=3.80 5-.25D+.10D=3.80 -15D=3.80-5 .15D=1.20 D=1.20/.15 D=8 NUMBER OF DIMES. Q=20-8=12 NUMBER OF QUARTERS. PROOF: .25*12+8*.10=3.80 3+.80=3.80 3.80=3.80
 Percentage-and-ratio-word-problems/234385: A recipe that makes 18 cookies calls for 3/4 cup of sugar. How much sugar is needed to make 2 dozen cookies using this recipe?1 solutions Answer 172813 by checkley77(12569)   on 2009-11-02 20:54:51 (Show Source): You can put this solution on YOUR website!18/.75=24/x 18x=.75*24 18x=18 x=1 cup is needed for 2 doz. cookies.
 Trigonometry-basics/234315: log7-log3+log61 solutions Answer 172811 by checkley77(12569)   on 2009-11-02 20:52:05 (Show Source): You can put this solution on YOUR website!log7-log3+log6 .845-.477+.778=1.146 ans.
 Volume/234322: The volume of a box must be 315 cubic meter. The length of the box is to be 7 meters and the height is to be 4 meters more than the width. Find the width of the box 1 solutions Answer 172810 by checkley77(12569)   on 2009-11-02 20:47:09 (Show Source): You can put this solution on YOUR website!volume=l*w*h 315=7*w*(w+4) 315=7w(w+4) 315=7w^2+28w 7w^2+28w-315=0 7(w^2+4w-45)=0 7(w+9)(w-5)=0 w-5=0 w=5 ans. for the width. Proof: 315=7*5(5+4) 315=35*9 315=315
 Polynomials-and-rational-expressions/234325: i need help with this problem; (6t3-3t2+t-[(t3+3t2-3)-(3-t)] ihave no idea what to do first or how to solve this1 solutions Answer 172808 by checkley77(12569)   on 2009-11-02 20:41:00 (Show Source): You can put this solution on YOUR website!(6t3-3t2+t-[(t3+3t2-3)-(3-t)] remove the () around the (t^3+t^2-3) & the -(3-t) terms. Be sure to change the signs within the -(3-t) term 6t^3-3t^2+t-[t^3-3t^2+3-3+t] Remove the [] signs remembering to change all the signs within the brackets. 6t^3-3t^2+t-t^3+3t^2-3+3-t Now combine all like terms. 6t^3-t^3-3t^2+3t^2+t-t+3-3 Now cancel out the 3t^2 terms, the t terms & the 3 terms which leaves: 6t^3-t^3=5t^3 ans.
 Square-cubic-other-roots/234326: Can you help solve 3v^2 + 4v - 1 = 0 please find all solutions real and imaginary1 solutions Answer 172804 by checkley77(12569)   on 2009-11-02 20:28:30 (Show Source): You can put this solution on YOUR website!3v^2 + 4v - 1 = 0 v=(-4+-sqrt[4^2-4*3*-1])/2*3 v=(-4+-sqrt[16+12)/6 v=(-4+-sqrt28)/6 v=(-4+-5.2915)/6 v=(-4+5.2915)/6 v=1.2915/6 v=.215 ans. v=(-4-5.2915)/6 v=-9.2915/6 v=-1.549 ans.
 Volume/234327: One cubic inch of iron wieghts about .26 pounds. What is the weight of an iron bar 50 inches long 10 inches wide and 10 inches high 1 solutions Answer 172802 by checkley77(12569)   on 2009-11-02 20:20:43 (Show Source): You can put this solution on YOUR website!50*10*10=5,000 in^3 is the volume. 5,000*.26=1,300 pounds is the weight.
 Age_Word_Problems/234331: a boy is twice as old as his brother , 4 year a ago he was 3 times as old as his brother. find thier present ages1 solutions Answer 172798 by checkley77(12569)   on 2009-11-02 20:17:24 (Show Source): You can put this solution on YOUR website!boy=2x age now brother=x age now 2x-4=3(x-4) 2x-4=3x-12 2x-3x=-12+4 -x=-8 x=8 is the age of the brother now. boy=2*8=16 the age of the boy now. Proof: 2*8-4=3(8-4) 16-4=3*4 12=12
 Numeric_Fractions/234342: 4 8/7+7/91 solutions Answer 172797 by checkley77(12569)   on 2009-11-02 20:12:49 (Show Source): You can put this solution on YOUR website!4 8/7+7/9 First convert the first mixed fraction to an improper fraction: (4*7+8)/7=(28+8)/7=36/7 36/7+7/9 Now find a common denominator and combine the fractions. (36*9+7*7)/7*9=(324+49)/63=373/63 or 5 58/63 ans
 Polynomials-and-rational-expressions/234334: I am supposed to factor the trimonial: b^2+8b + 16 Is the answer 2 because b^2 + 8b factor out completely, leaving 2 since 8x2=16?1 solutions Answer 172794 by checkley77(12569)   on 2009-11-02 20:06:20 (Show Source): You can put this solution on YOUR website!NO the answer is not 2. What rule allows you to factor out b^2+8b and how does that leave you 2? ------------------------------------------ The proper solution follows: b^2+8b+16 (b+4)(b+4) (b+4)^2 ans.