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Recent problems solved by 'checkley77'

checkley77 answered: 12560 problems
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Angles/341737: an angles measure is 5 degrees less than 3 times the measure of its supplement. whats is the measure of the angle and its supplement 1 solutions Answer 244689 by checkley77(12569)   on 2010-09-11 18:19:16 (Show Source): You can put this solution on YOUR website! x=3y-5 x+y=180 (3y-5)+y=180 4y=180+5 4y=185 y=185/4 y=46.25 degrees is the smaler angle. x=3*46.25-5 x=138.75-5=133.75 degrees for the larger angle. Proof: 46.25+133.75=180 180=180

Mixture_Word_Problems/341738: You are a lab technician and need to put together 13 ounces of a 10.64% salt solution. You have stock solution in quart bottles of 6% salt solution and 16% salt solution. Your job is to calculate the number of ounces, accurate to the nearest hunderdth, of each stock solution that is needed to make the required amount. 1 solutions Answer 244680 by checkley77(12569)   on 2010-09-11 18:04:32 (Show Source): You can put this solution on YOUR website! .16x+.06(13-x)=.1064*13 .16x+.78-.06x=1.3832 .10x=1.3832-.78 .13x=.6032 x=.6032/.10 x=6.032 oz. of the 16% solution is used. 13-6.032=6.968 oz. of the 6% solution is used. Proof: .16*6,032+.06*6.968=.1064*13 .96512+.41808=1.3832 1.3832=1.3832

Money_Word_Problems/341741: susan Mariano invested part of her $27000 bonus in a fund that paid an 11% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall profit was $1990 1 solutions Answer 244678 by checkley77(12569)   on 2010-09-11 17:47:27 (Show Source): You can put this solution on YOUR website! .11X-.03(27,000-X)=1,990 .11X-810+.03X=1,990 .14X=1,990+810 .14X=2,800 X=2,800/.14 X=$20,000 amount invested @ 11% 27,000-20,000=$7,000 invested @ 3% Proof: .11*20,000-.03*7,000=1,990 2,200-210=1,990 1,990=1,990

Quadratic_Equations/341742: the length of a rectangle is twice the width. the area is 392 yd^2. find the length and the width 1 solutions Answer 244677 by checkley77(12569)   on 2010-09-11 17:41:43 (Show Source): You can put this solution on YOUR website! L=2W A=LW 392=2W*W 2W^2=392 W^2=392/2 W^2=196 W=SQRT196 W=14 ANS. FOR THE WIDTH. L=2*14=28 ANS. FOR THE LENGTH. PROOF: 392=28*14 392=292

Exponents/341746: y^2(y^8)(y^4)= Cannot figure this one problem out 1 solutions Answer 244674 by checkley77(12569)   on 2010-09-11 17:37:17 (Show Source): You can put this solution on YOUR website! WHEN MULTIPLYING EXPONENTS JUST ADD THE EXPONENT VALUES. y^2(y^8)(y^4)=Y^(2+8+4)=Y^14 ANS.

Circles/341751: The spoke of a wheel reaches from the center of the wheel to its rim. If the circumference of the rim of the wheel is 42 inches, how long is each spoke? Round your answer to the nearest hundredth. A. 7 inches B. 6.25 inches C. 13.38 inches D. 6.69 inches 1 solutions Answer 244667 by checkley77(12569)   on 2010-09-11 17:26:09 (Show Source): You can put this solution on YOUR website! C=2PIR 42=2*3.14*R 42=6.28R R=42/6.28 R=6.69 INCHES. ANSWER D)

Inequalities/340467: Can you please help me factor this problem? 16y^3+80y^2+100y 1 solutions Answer 244027 by checkley77(12569)   on 2010-09-08 17:53:33 (Show Source): You can put this solution on YOUR website! 416y^3+80y^2+100y 4(4y^2+20y+25) 4(2x+5)^2 ans.

Rational-functions/340484: Subtract. Simplify by collecting like radical terms if possible. 6√20 -3√5 Simplify youe answer. Type an exact answer, using radicals as needed. 1 solutions Answer 244025 by checkley77(12569)   on 2010-09-08 17:46:56 (Show Source): You can put this solution on YOUR website! 6√20 -3√5 6*2sqrt5-3sqrt5 12sqrt5-3sqrt5 9sqrt5 ans.

real-numbers/340488: build each fraction or whole number to an equivalent fraction having the indicated denomiator 1/3 denominatior 9 1 solutions Answer 244024 by checkley77(12569)   on 2010-09-08 17:44:42 (Show Source): You can put this solution on YOUR website! (1/3)/9 1/3*1/9 1/27 ans.

Rational-functions/340490: Simplify by factoring. Assume that all expressions under radicals represent all nonnegetive numbers; √(80a^2b ) type an exact number using radicals as needed. 1 solutions Answer 244021 by checkley77(12569)   on 2010-09-08 17:41:45 (Show Source): You can put this solution on YOUR website! √(80a^2b) (4a)sqrt(5b) ans.

Travel_Word_Problems/340491: two buses leave Dallas at the same time and travel in opposite directions. One bus averages 58 mi/h, and the other bus averages 52 mi/h. When will they be 363 miles apart? 1 solutions Answer 244019 by checkley77(12569)   on 2010-09-08 17:38:54 (Show Source): You can put this solution on YOUR website! D=RT 363=58T+52T 363=110T T=363/110 T=3.3 HOURS AFTER THEY LEAVE THEY WILL BE 363 MILES APART.

Rational-functions/340504: Factor the trinomial; t^3-2t^3-24t Select the correct choice below and of necessary fill in the anawer box to complete your choice a) t^3-2t^3-24t=__?__ factor completely b) The trinomial is not factorable 1 solutions Answer 244015 by checkley77(12569)   on 2010-09-08 17:35:07 (Show Source): You can put this solution on YOUR website! t^3-2t^3-24t -2T^3-24T -2T(T^2+12) ANS.

Age_Word_Problems/340505: Sum of two numbers=15 Product of the numbers=36 Find the numbers 1 solutions Answer 244013 by checkley77(12569)   on 2010-09-08 17:32:43 (Show Source): You can put this solution on YOUR website! X+Y=15 OR X=15-Y XY=36 REPLACE X WITH (15-Y) IN THE ABOVE EQUATION & SOLVE FOR Y. (15-Y)Y=36 15Y-Y^2-36=0 Y^2-15Y+36=0 (Y-12)(Y-3)=0 Y-12=0 Y=12 ANS. Y-3=0 Y=3 ANS.

Probability-and-statistics/340506: arrange these integers from least to greatest -77,-13,-73,38,82,-75 1 solutions Answer 244011 by checkley77(12569)   on 2010-09-08 17:28:01 (Show Source): You can put this solution on YOUR website! -77,-13,-73,38,82,-75 -77,-75,-73,-13,38,82 ans.

Miscellaneous_Word_Problems/340509: A rectangular garage is 9ft longer than it is wide. If the area of the garage is 630ft.^2, find the length and the width. 1 solutions Answer 244010 by checkley77(12569)   on 2010-09-08 17:25:37 (Show Source): You can put this solution on YOUR website! L=W+9 LW=630 (W+9)W=630 W^2+9W-630=0 (W+30)(W-21)=0 W-21=0 W=21 ANS FOR THE WIDTH. L=21+9=30 ANS FOR THE LENGTH. PROOF: 30*21=630 630=630

Exponents/340512: 32^1/5 1 solutions Answer 244007 by checkley77(12569)   on 2010-09-08 17:20:42 (Show Source): You can put this solution on YOUR website! 32^1/5 fifth root of 32=2 ans.

Rectangles/340492: a 5-ft tall girl casts a shadow 8 ft. long. she is standing next to a tree that casts a 64- ft shadow. how tall is the tree? 1 solutions Answer 244005 by checkley77(12569)   on 2010-09-08 17:15:05 (Show Source): You can put this solution on YOUR website! 5/8=x/64 8x=5*64 8x=320 x=320/8 x=40 ft. tall.

Probability-and-statistics/340496: A baseball team has 15 players. How many 9-player batting orders are possible for this team? 1 solutions Answer 244004 by checkley77(12569)   on 2010-09-08 17:12:20 (Show Source): You can put this solution on YOUR website! 15*14*13*12*11*10*9*8*7=1,816,214,400 ans.

Numbers_Word_Problems/340497: I am a number with 5 digits. First and last digits are 9. Sum of my other digits are 5. Name two numbers I can be. 1 solutions Answer 244003 by checkley77(12569)   on 2010-09-08 17:07:33 (Show Source): You can put this solution on YOUR website! 91409 91229 90059 91319

Rational-functions/340498: Multiply and simplify by factoring. Assume that all expressions under radicals represent all nonnegetive numbers. ∛(y^12 ) ∛(81y^14 ) Simplify your answer.Type in radical form. 1 solutions Answer 244002 by checkley77(12569)   on 2010-09-08 17:06:04 (Show Source): You can put this solution on YOUR website! sqrt(y^12 )=y^6 ans sqrt(81y^14 )=9y^7 ans.

Evaluation_Word_Problems/340501: Trina runs 53 miles each week. Monday through Thursday, she runs 29 miles. She runs the same distance Friday, Saturday, and Sunday. Write an equation that models the problem, then use that equation to find how many miles Trina runs on Sunday. 1 solutions Answer 244001 by checkley77(12569)   on 2010-09-08 17:02:41 (Show Source): You can put this solution on YOUR website! 3x+29=53 3x=53-29 3x=24 x=24/3 x=8 miles run on Sunday.

Numbers_Word_Problems/340502: I am a number with 5 digits. First and last digits are 9. Sum of my other digits are 5. Name two numbers I can be. 1 solutions Answer 244000 by checkley77(12569)   on 2010-09-08 16:59:21 (Show Source): You can put this solution on YOUR website! 91229 90059 92309 91049 91139

Mixture_Word_Problems/339946: What quantity x of a 80 % acid solution must be mixed with a 15 % solution to produce 600 mL of a 40 % solution? 1 solutions Answer 243669 by checkley77(12569)   on 2010-09-07 17:20:31 (Show Source): You can put this solution on YOUR website! .80X+.15(600-X)=.40*600 .80X+90-.15X=240 .65X=240-90 .65X=150 X=150/.65 X=230.77 ml. of 80% mixture is used. Proof: ,80*230.77+.15(600-230.77)=.4*600 184.62+.15(369.23)=240 184.62+55.38=240 240=240

Functions/339975: When the monarch butterfly is migrating to the south, it has an average speed of 80 miles per day. Write an equation that shows the realtionship between the number of days (t) and the distance (in miles) it has traveled (d) 1 solutions Answer 243662 by checkley77(12569)   on 2010-09-07 16:59:15 (Show Source): You can put this solution on YOUR website! D=RT D=80T

Average/339961: The average height of the eight shorts was 150 centimeters. The average height of the twelve mediums was 170 centimeters, and the average height of the five talls was 200 centimeters. What was the overall average of all 25? 1 solutions Answer 243658 by checkley77(12569)   on 2010-09-07 16:55:41 (Show Source): You can put this solution on YOUR website! (8*150+12*170+5*200)/25 (1200+2040+1000)/25 4240/25=169.6 ans.

Numeric_Fractions/339962: Three of the adult participants ran the top three farthest distances. The first ran 9 1/2km, the second ran 8 1/5km, and the last one ran 8 1/7km. Find the total number of kilometers they ran altogether. 1 solutions Answer 243649 by checkley77(12569)   on 2010-09-07 16:46:45 (Show Source): You can put this solution on YOUR website! 9 1/2+8 1/5+8 1/7 19/2+41/5+57/7 (LCD=70) (19*35+41*14+57*10)/70 (665+574+570)/70 1,809/70=25 59/70 ans.

Inequalities/339963: Find and the solutions of the following inequalities. Express your answer using interval notation. 1.5x-12 (is less than or equal to) 2x 1 solutions Answer 243640 by checkley77(12569)   on 2010-09-07 16:30:25 (Show Source): You can put this solution on YOUR website! 1.5x-12<=2x 1.5x-2x<=12 -.5x<=12 x>=12/-.5 (note the sign change when dividing by a negative value) x>=-24 ans. Proof: Let x=-23 1.5*-23-12<2*-23 -34.5-12<=-46 -46.5<=-46

Numeric_Fractions/339964: What is four ninths of 684? 1 solutions Answer 243638 by checkley77(12569)   on 2010-09-07 16:23:51 (Show Source): You can put this solution on YOUR website! 4/9*684=2,736/8=304 ans.

Inequalities/339640: How do I solve this? sqrt(12) + sqrt(3) 1 solutions Answer 243362 by checkley77(12569)   on 2010-09-06 21:47:09 (Show Source): You can put this solution on YOUR website! sqrt(12) + sqrt(3) SQRT(4*3)+SQRT(3) 2SQRT(3)+SQRT(3) 3SQRT(3) ANS.

Coordinate-system/339643: Graph the lines on the same coordinate plane. Use algebra to find the coordinates of the point of intersection (the coordinates are integers). x-3y=-51 3x-y=-65 1 solutions Answer 243361 by checkley77(12569)   on 2010-09-06 21:45:02 (Show Source): You can put this solution on YOUR website! x-3y=-51 -3Y=-X-51 Y=-X/-3-51/-3 Y=X/3+17 (RED LINE) 3x-y=-65 -Y=-3X-65 Y=3X+65 (GREEN LINE) (graph 300x200 pixels, x from -30 to 5, y from -10 to 70, of TWO functions x/3 +17 and 3x +65). INTERCEPTS (-18,11)

Linear_Equations_And_Systems_Word_Problems/339646: How many grams of an alloy that is 70% silver should be melted with 60 grams of an alloy that is 20% silver to produce an alloy that is 30% silver? 1 solutions Answer 243360 by checkley77(12569)   on 2010-09-06 21:37:30 (Show Source): You can put this solution on YOUR website! .70X+.20*60=.30(60+X) .70X+12=18-.30X .70X-.30X=18-12 .40X=6 X=6/.4 X=15 OZ. OF 70% SILVER IS USED. PROOF: .70*15+.20*60=.30(60+15) 10.5+12=.30*75 22.5=22.5