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Recent problems solved by 'checkley77'

checkley77 answered: 12560 problems
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Miscellaneous_Word_Problems/242687: One number is 5 less than twice another, their sum is 124. Find the numbers 1 solutions Answer 177739 by checkley77(12569)   on 2009-11-25 17:10:24 (Show Source): You can put this solution on YOUR website! x=2y-5 x+y=124 2y-5+y=124 3y=124+5 3y=129 y=129/3 y=43 ans. for the smaller number. 124-43=81 ans. for the larger number. Proof: 43+81=124 124=124

decimal-numbers/242688: hockey teams receive 1 point when they tie, and 2 points when they win. One season a team won with 64 points, they won 11 more games than they tied, how many wins and how many ties did they have? 1 solutions Answer 177735 by checkley77(12569)   on 2009-11-25 16:53:41 (Show Source): You can put this solution on YOUR website! w=t+11 2w+1t=64 2(t+11)+t=64 2t+22+t=64 3t=64-22 3t=42 t=42/3 t=14 number of games tied. w=14+11=25 games won. Proof: 2*25+14*1=64 50+14=64 64=64

Linear-equations/242706: Determine the equation of the line described. Put answer in the slope-intercept form, if possible. Through (1,-8), perpendicular to -7-4y=25. 1 solutions Answer 177733 by checkley77(12569)   on 2009-11-25 16:42:12 (Show Source): You can put this solution on YOUR website! Through (1,-8), perpendicular to -7-4y=25. -7-4y=25 -4Y=25+7 -4Y=32 Y=32/-4 Y=-8 ANSWER FOR THE Y INTERCEPT. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -8).

Miscellaneous_Word_Problems/242708: Ticket sales. Tickets for a concert were sold to adults for $3 and to students for $2. If the total receipts were $824 and twice as many adult tickets as student tickets were sold, then how many of each were sold? 1 solutions Answer 177730 by checkley77(12569)   on 2009-11-25 16:38:28 (Show Source): You can put this solution on YOUR website! A=2S 3A+2S=824 3*2S+2S=824 6S+2S=824 8S=824 S=824/8 S=103 STUDENT TICKETS WERE SOLD. 2*103=206 ADULT TICKETS WERE SOLD. PROOF: 3*206+2*103=824 618+206=824 824=824

Linear-equations/242709: Find the x-intercept for the line represented by this equation.4x-3y=6x+y 1 solutions Answer 177727 by checkley77(12569)   on 2009-11-25 16:31:41 (Show Source): You can put this solution on YOUR website! 4x-3y=6x+y -3y-y=6x-4x -4y=2x y=2x/-4 y=-x/2 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -x/2). X intercept=(0,0)

Money_Word_Problems/242729: If I invest $400 at 3% compound quarterly for 4 years how much money will I have? 1 solutions Answer 177726 by checkley77(12569)   on 2009-11-25 16:26:36 (Show Source): You can put this solution on YOUR website! 400(1+.03/4)^4*4 400(1+.0075)^16 400(1.0075)^16 400*1.127=$450.80 ans.

Mixture_Word_Problems/242742: A goldsmith has two alloys that are different purities of gold. The first is three-fourths pure gold and the second is five twelfths pure gold. How many ounces of each should be melted and mixed in order to obtain a 6-oz mixture that is two-thirds pure gold? 1 solutions Answer 177725 by checkley77(12569)   on 2009-11-25 16:21:25 (Show Source): You can put this solution on YOUR website! .75x+5/12(6-x)=2/3*6 .75x+5*6/12-5/12x=12/3 .75x+30/12-5x/12=4 .75x-5x/12+2.5=4 (.75x*12-5x)/12=4-2.5 (9x-5x)/12=1.5 4x=1.5*12 4x=18 x=18/4 x=4.5 oz. of 3/4 pure gold is used. 6-4.5=1.5 oz. of 5/12 pure gold is used. Proof: .75*4.5+5/12*1.5=2/3*6 3.375+.625=4 4=4

Geometry_Word_Problems/242492: The length of a rectangle is 30cm less than three times the width. The perimeter of this rectangle is 180cm. What are the dimensions of this rectangle? 1 solutions Answer 177552 by checkley77(12569)   on 2009-11-24 18:57:45 (Show Source): You can put this solution on YOUR website! L=3W-30 2L+2W=30 2(3W-30)+2W=30 6W-60+2W=30 8W=30+60 8W=90 W=90/8 W=11.25 CM. IS THE WIDTH. L=3*11.25-30=33.75-30=3.75 CM IS THE LENGTH. PROOF: 2*3.75+2*11.25=30 7.5+22.5=30 30=30

Numeric_Fractions/242498: Simplify (2/x +3/y)/(3/x -2/y) 1 solutions Answer 177549 by checkley77(12569)   on 2009-11-24 18:49:44 (Show Source): You can put this solution on YOUR website! (2/x +3/y)/(3/x -2/y) [(2Y+3X)/XY]/[(3Y-2X)/XY]CANCEL OUT THE XY TERMS. (2Y+3X)/(3Y-2X) ANS.

Miscellaneous_Word_Problems/242338: Of 100 students surveyed, 80 were taking a math class and 75 were taking a science class. If 70 students were taking both math and science, how many were taking neither? 1 solutions Answer 177545 by checkley77(12569)   on 2009-11-24 18:42:43 (Show Source): You can put this solution on YOUR website! 100-(80-70)-(75-70)=100-10-5=85 STUDENTS TAKE MATH OR SCIENCE OR BOTH. THUS 100-85=15 TAKE NEITHER.

Word_Problems_With_Coins/242339: A wallet contains 10 coins, all nickels or dimes, totaling 80 cents. How many dimes are there? 1 solutions Answer 177544 by checkley77(12569)   on 2009-11-24 18:36:46 (Show Source): You can put this solution on YOUR website! N+D=10 OR N=10-D .05N+.10D=.80 .05(10-D)+.10D=.80 .5-.05D+.10D=.80 .05D=.80-.50 .05D=.30 D=.30/.05 D=6 DIMES. 10-6=4 NICKELS. PROOF: .05*4+.10*6=.80 .20+.60=.80 .80=.80

Linear-systems/242351: For spring break some students flew to cancun. From mexico city, the airplane took 2 hrs to fly 600 mi against a head wind. The return trip with the wind took 1 2/3 hr. Find the speed of the plane in still air. 1 solutions Answer 177541 by checkley77(12569)   on 2009-11-24 18:29:33 (Show Source): You can put this solution on YOUR website! 600/2=300 MPH. AGAINST THE WIND. 600/(5/3)=600*3/5=1800/5=360 MPH WITH THE WIND. (360-300)/3=60/2=30 MPH IS THE WIND SPEED. 360-30=330 THE PLANE'S SPEED IN STILL AIR. 300+30=330 DITTO.

Numbers_Word_Problems/242352: michael bought a jacket and a sweater. the jacket cost $28 more than the sweater. the sum of the prices was $146. how much did each item cost? 1 solutions Answer 177540 by checkley77(12569)   on 2009-11-24 18:25:31 (Show Source): You can put this solution on YOUR website! J=S+28 J+S=146 (S+28)+S=146 2S=146-28 2S=118 S=118/2 S=$59 WAS THE COST OF THE SWEATER. J=59+28=$87 WAS THE COST OFTHE JACKET. PROOF: 59+87=146 146=146

Equations/242363: 0.4x+2<0.8x-9 1 solutions Answer 177536 by checkley77(12569)   on 2009-11-24 18:21:05 (Show Source): You can put this solution on YOUR website! 0.4x+2<0.8x-9 .4x-.8x<-9-2 -.4x<-11 x>-11/-.4 note: the < changes to a > when divided by a negative value. x>27.5 ans. Proof: Let x=28 .4*28+2<.8*28-9 11.2+2<22.4-9 11.2<13.4

Polynomials-and-rational-expressions/242402: Can someone help me with these two. I have to factor and tell if the polynomials is prime or not. Thanks 1. x2 - 1.1x + 0.28 2. x4 + 3x2 + 2x3 + 6x 1 solutions Answer 177534 by checkley77(12569)   on 2009-11-24 18:15:16 (Show Source): You can put this solution on YOUR website! 1. x2 - 1.1x + 0.28 (x-.7)(x-.4) ans. ------------------------ 2. x4 + 3x2 + 2x3 + 6x x^2(x^2+3)+2x(x^2+3) (x^2+2x)(x^2+3) ans. -----------------------

Equations/242404: Factor completely. If the polynomial is prime, state this. thanks y^2 + 0.4y + 0.04 1 solutions Answer 177533 by checkley77(12569)   on 2009-11-24 18:11:35 (Show Source): You can put this solution on YOUR website! y^2 + 0.4y + 0.04 (y+.2)^2 ans.

Linear_Equations_And_Systems_Word_Problems/242412: Andea's car averages 18.4 mi/gal in city driving and 25.8 mi/gal in highway driving. if she drove a total of 652.0 mi on 29 gal of gas, how many of the gallons were used for city driving? i think this a system of equations problem. i don't know how to set up the equations 1 solutions Answer 177531 by checkley77(12569)   on 2009-11-24 18:07:51 (Show Source): You can put this solution on YOUR website! YOU DON'T NEED A SYSTEM OF EQUATIONS; THE FOLLOWING ONE WILL DO. 18.4X+25.8(29-X)=652 18.4X+748.2-25.8=652 -7.4X=652-748.2 -7.4X=-96.2 X=-96.2/-7.4 X=13 GAL CONSUMMED @ 18.4 MPH. CITY DRIVING. 29-13=16 GAL CONSUMMED @ 25.8 MPH. PROOF: 18.4*13+25.8*16=652 239.2+412.8=652 652=652

Complex_Numbers/242415: 2vsquared-5v-25=0 1 solutions Answer 177525 by checkley77(12569)   on 2009-11-24 17:50:42 (Show Source): You can put this solution on YOUR website! 2v^2-5v-25=0 (2v+5)(v-5)=0 2v+5=0 2v=-5 v=-5/2 v=-2.5 ans. v-5=0 v=5

test/242443: A 3-ft by 6-ft picnic table is placed on an outdoor patio measuring x ft by x ft. Find a polynomial for the remaining open space on the patio (in square feet). 1 solutions Answer 177521 by checkley77(12569)   on 2009-11-24 17:47:18 (Show Source): You can put this solution on YOUR website! 3*6=18 ft^2 x^2-18 ft^2 is the remaining open space.

expressions/240117: (-46)-30-(17) 1 solutions Answer 177517 by checkley77(12569)   on 2009-11-24 17:44:02 (Show Source): You can put this solution on YOUR website! (-46)-30-(17)=-46-30-17=-93 ans.

Quadratic_Equations/242420: What is the number of solutions for the quadratic function f(x) = 3x^2 + 5x + 10 1 solutions Answer 177516 by checkley77(12569)   on 2009-11-24 17:38:47 (Show Source): You can put this solution on YOUR website! f(x) = 3x^2 + 5x + 10 x=(-5+-sqrt[5^5-4*3*10])/2*3 x=(-5+-sqrt[25-120)/6 x=(-5+-sqrt-95)/6 x=(-5+-9.7468i)/6 x=-5/6+-1.6244i x=-.8333+-1.6244i ans.

Rectangles/242485: What is the perimeter of a rectangle if the area is 36 m square? 1 solutions Answer 177515 by checkley77(12569)   on 2009-11-24 17:28:51 (Show Source): You can put this solution on YOUR website! LW=36 THERE ARE MANY SOLUTIONS. A FEW FOLLOW: L*W/////2L+2W 6*6///2*6+2*6=12=12=24 ANS. 9*4///2*9+2*4=18+8=26 ANS. 12*3//2*12+2*3=24+6=30 ANS. 18*2//2*18+2*2=36+4=40 ANS. 36*1//2*36+2*1=72+2=74 ANS.

Angles/242136: What is the measure of the only angle that is its own complement and the measure of the only angle that is its own supplement 1 solutions Answer 177319 by checkley77(12569)   on 2009-11-23 20:00:54 (Show Source): You can put this solution on YOUR website! COMPLEMENT: 45+45=90 ANS. 45 DEGREES. SUPPLEMENT: 90+90=180 ANS. 90 DEGREES.

expressions/242143: Find the median of the following set of numbers. 45, 21, 54, 22, 65, 61 How do I find the median. I just need to know how to find it 1 solutions Answer 177318 by checkley77(12569)   on 2009-11-23 19:58:45 (Show Source): You can put this solution on YOUR website! 45, 21, 54, 22, 65, 61 ARRANGE THE VALUES IN ORDER: 21,22,45,54,61,65 THE MEDIAN IS THE MIDDLE VALUES. BECAUSE THER IS NO SINGLE MIDDLE VALUE, AVERAGE THE 2 MIDDLE VALUES. (45+54)/2=99/2-49.5 ANS. FOR THE MEDIAN.

Radicals/242155: (3 - 2 Square root of 12) squared 1 solutions Answer 177315 by checkley77(12569)   on 2009-11-23 19:50:51 (Show Source): You can put this solution on YOUR website! (3 - 2 Square root of 12) squared 3-2SQRT12 3-2SQRT12 --------------- 9-6SQRT12-6SQRT12+4*12 9-12SQRT12+48 9+48-12SQRT(4*3) 57-12*2SQRT3 87-24SQRT3 ANS.

Rectangles/242159: . The length of a rectangular room is 7 feet longer than its width. The area of the room is 60 feet. What are the dimensions of the room? 1 solutions Answer 177312 by checkley77(12569)   on 2009-11-23 19:46:14 (Show Source): You can put this solution on YOUR website! L=W+7 LW=60 (W+7)W=60 W^2+7W-60=0 (W+12)(W-5)=0 W-5=0 W=5 ANS. L=5+7=12 ANS. PROOF: 5*12=60 60=60

Square-cubic-other-roots/242163: x^2+6x+45=0 1 solutions Answer 177310 by checkley77(12569)   on 2009-11-23 19:42:51 (Show Source): You can put this solution on YOUR website! x^2+6x+45=0 x=(-6+-sqrt[6^2-4*1*45])/2*1 x=(-6+-sqrt[36-180])/2 x=(-6+-sqrt-144)/2 x=(-6+-12i)/2 x=(-6/2+-12i/2 x=-3+-6i

Rational-functions/242167: I don't understand how to solve this problem. Any help wpuld be appreciated. 1 solutions Answer 177308 by checkley77(12569)   on 2009-11-23 19:37:59 (Show Source): You can put this solution on YOUR website! x^2(x+4)>=x+4 divide both sides by (x+4) x^2>=1 x>=+-1 ans.

Linear-equations/242176: PERPINDICULAR TO 3X+4Y=12,THROUGH (7,1) 1 solutions Answer 177306 by checkley77(12569)   on 2009-11-23 19:33:23 (Show Source): You can put this solution on YOUR website! PERPINDICULAR TO 3X+4Y=12,THROUGH (7,1) 3x+4y=12 4y=-3x+12 y=-3x/4+12 slope=-3/4. (red line) A perpendicular line has a slope=4/3 1=4/3*7+b 1=28/3+b b=1-28/3 b=3/3-28/3 b=-25/3 the Y intercept. Y=4X/3-25/3 ans. (green line) (graph 300x300 pixels, x from -10 to 15, y from -10 to 15, of TWO functions -3x/4 +12 and 4x/3 -25/3).

Numbers_Word_Problems/242180: Denise bought 50 postage stamps for which she paid $13.00. Some were 20-cent stamps and some were 40-cent stamps. How many of each did she buy? 1 solutions Answer 177302 by checkley77(12569)   on 2009-11-23 19:14:45 (Show Source): You can put this solution on YOUR website! X+Y=50 OR X=50-Y .20X+.40Y=13 .20(50-Y)+.40Y=13 10-.20Y+.40Y=13 .20Y=13-10 .20Y=3 Y=3/.20 Y=15 40 CENT STAMPS WERE BOUGHT. 50-15=35 20 CENT STAMPS WERE BOUGHT. PROOF: .20*35+.40*15=13 7+6=13 13=13

Numbers_Word_Problems/242183: One week a business sold 40 scarves. White ones cost $4.95, and printed ones cost $7.95. In all, total sales of scarves were $282. How many of each kind were sold? 1 solutions Answer 177296 by checkley77(12569)   on 2009-11-23 18:59:52 (Show Source): You can put this solution on YOUR website! P+W=40 OR P=40-W 4.95W+7.95(40-W)=282 4.95W+318-7.95W=282 -3W=282-318 -3W=-36 W=-36/3 W=12 WHITE SCARVES WERE SOLD. 40-12=28 PRINTED SCARVES WERE SOLD. PROOF: 4.95*12+7.95*28=282 59.4+222.6=182 282=282