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# Recent problems solved by 'checkley77'

checkley77 answered: 12560 problems
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 Linear-equations/312913: The line through (3,2) with undefined slope.1 solutions Answer 223735 by checkley77(12569)   on 2010-06-09 17:40:53 (Show Source): You can put this solution on YOUR website!X=3 is the verticle line through (x=3) with an undefined slope.
 Radicals/312916: Simplify: 2 sqrt () 27 - sqrt () 3 a) 2 sqrt () 27 - sqrt () 3 b) 2 sqrt () 3 c) 5 sqrt () 3 d) 6 - sqrt () 3 1 solutions Answer 223731 by checkley77(12569)   on 2010-06-09 17:36:06 (Show Source): You can put this solution on YOUR website! 2 sqrt () 27 - sqrt () 3 2sqrt(9*3)-sqrt3 2*3sqrt3-sqrt3 (6-1)sqrt3 5sqrt3 Answer C).
 Square-cubic-other-roots/312928: Simplify: sqrt () 12 - sqrt () 27 a) -sqrt () 3 b) -sqrt () 15 c) -5 sqrt () 3 d) -15 sqrt () 3 1 solutions Answer 223729 by checkley77(12569)   on 2010-06-09 17:22:18 (Show Source): You can put this solution on YOUR website!sqrt () 12 - sqrt () 27 sqrt(4*3)-sqrt(9*3) 2sqrt3-3sqrt3 (2-3)sqrt3 -sqrt3 Answer A).
 Points-lines-and-rays/312613: A school yard sandbox is in the shape of a rectangle. It has 54 feet of boards around the border that enclose the sand box. If the length of the sandbox is 3 feet less than twice the width, find the dimensions of the sand box.1 solutions Answer 223502 by checkley77(12569)   on 2010-06-08 19:37:42 (Show Source): You can put this solution on YOUR website!L=2W-3 P=2L+2W 54=2(2W-3)+2W 54=4W-6+2W 6W=54+6 6W=60 W=60/6 W=10 ANS. FOR THE WIDTH. L=2*10-3 L=20-3 L=17 ANS. FOR THE LENGTH. PROOF: 54=2*17+2*10 54=34+20 54=54
 Triangles/312611: What are the side measurements for a right triangle with the area of 90 sq. cm. 1 solutions Answer 223501 by checkley77(12569)   on 2010-06-08 19:33:33 (Show Source): You can put this solution on YOUR website!MANY & VARIED. A=BH/2 90=10*18/2 90=180/2 90=90 10^2+18^2=C^2 100+324=C^2 424=C^2 C=SQRT424 C=20.59 ANS. FOR THE HYPOTENUSE. ------------------------------ 90=12*15/2 90=180/2 90=90 12^2+15^2=C^2 144+225=C^2 369=C^2 C=SQRT368 C=19.9 ANS FOR THE HYPOTENUSE. ------------------------------- 90=4*45/2 90=180/2 90=90 4^2+45^2=C^2 16+2,025=C^2 2,041=C^2 C=SQRT=2,041 C=45.18 ANS FOR THE HYPOTENUSE. ------------------------------- ALSO:(2 & 90), (6 & 30), (8 & 22.5) OR ANY PRODUCT=180.
 test/312492: Jim has a total of 50 coins. Some are nickels and some are quarters. Altogether he has \$4.10. How many quarters does he have? How many nickels?1 solutions Answer 223497 by checkley77(12569)   on 2010-06-08 19:13:38 (Show Source): You can put this solution on YOUR website!N+Q=50 OR N=50-Q .05N+.25Q=4.10 .05(50-Q)+.25Q=4.10 2.50-.05Q+.25Q=4.10 .20Q=4.10-2.50 .20Q=1.60 Q=1.60/.20 Q=8 QUARTERS. 50-8=42 NICKELS. PROOF: .05*42+8*.25=4.10 2.10+2=4.10 4.10=4.10
 Average/312497: Solve -23 ≤3x-6≤ -1 The solution is {x|_≤x≤_} Thank you very much to anyone who can help me! 1 solutions Answer 223495 by checkley77(12569)   on 2010-06-08 19:07:34 (Show Source): You can put this solution on YOUR website!-23 ≤3x-6≤ -1 -23+6<=3X<=-1+6 -17<=3X<=5 -17/3<=X<=5/3 ANS.
 Polynomials-and-rational-expressions/312521: Suppose you are entered in a driving contest and you are to maintain an average speed of 60 mph for 2 miles. Your engine develops a miss and you can only maintain 30 mph for the first mile. The miss disappears after the first mile and the engine returns to normal. How fast must you drive the second mile to meet the overall average speed requirement?1 solutions Answer 223494 by checkley77(12569)   on 2010-06-08 19:01:54 (Show Source): You can put this solution on YOUR website!60*2=120 MILES IS THE DISTANCE. D=RT 120=30*1+X*1 120=30+X X=120-30 X=90 MPH IS THE SPEED FOR THE SECOND MILE. 120=[(30+90)/2]2 120=[120/2]2 120=60*2 120=120
 Geometry_Word_Problems/312563: The length of a rectangular solid is 7. The width of the solid is 2 more than the height. The volume of the solid is 105. Find the width and the height of the solid.1 solutions Answer 223489 by checkley77(12569)   on 2010-06-08 18:52:39 (Show Source): You can put this solution on YOUR website!W=H+2 V=LWH 105=7(H+2)H 105=7(H^2+2H) 105=7H^2+14H 7H^2+14H-105=0 7(H^2+2H-15)=0 7(H+5)(H-3)=0 H-3=0 H=3 ANS. FOR THE HEIGHT. W=3+2=5 ANS FOR THE WIDTH. PROOF: 105=7*5*3 105=105
 Numeric_Fractions/312567: help solving this equation 2/5(15x+35)-3=-1/2(12x-6)1 solutions Answer 223487 by checkley77(12569)   on 2010-06-08 18:41:03 (Show Source): You can put this solution on YOUR website!2/5(15x+35)-3=-1/2(12x-6) 6x+14-3=-6x+3 6x+6x=3-14+3 12x=-8 x=-8/12 x=-2/3 ans. Proof: 2/5(15*-2/3+35)-3=-1/2(12*-2/3-6) 2/5(-10+35)-3=-1/2(-8-6) 2/5(25)-3=-1/2*-14 10-3=7 7=7
 Linear-equations/312580: please help me solve this equation using elimination: x+y=0 3x-2y=101 solutions Answer 223480 by checkley77(12569)   on 2010-06-08 18:28:39 (Show Source): You can put this solution on YOUR website!x+y=0 multiply by 2 & add. 3x-2y=10 2x+2y=0 ------------- 5x=10 x=10/5 x=2 ans. 2+y=0 y=-2 ans. Proof: 3*2-2*-2=10 6+4=10 10=10
 Rectangles/312583: what is the diagonal measurement of a rectangle 12' x 16'1 solutions Answer 223478 by checkley77(12569)   on 2010-06-08 18:22:11 (Show Source): You can put this solution on YOUR website!The diagonal forms a right triangle of a 12,16,x triangle. 12^2+16^2=c^2 144+256=c^2 400=c^2 c=sqrt400 c=20 ans for the hypotenuse.
 Miscellaneous_Word_Problems/312584: How can you translate this phrase into an algebraic expression? The total of 35, T and 300 1 solutions Answer 223477 by checkley77(12569)   on 2010-06-08 18:19:28 (Show Source): You can put this solution on YOUR website!35+t+300=335+t ans.
 Graphs/312586: Please help me solve this inequality: 3 + -4x _<3x - 181 solutions Answer 223476 by checkley77(12569)   on 2010-06-08 18:17:53 (Show Source): You can put this solution on YOUR website!3 + -4x _<3x - 18 -4x-3x<=-18-3 -7x<=-21 x>=-21/-7 Note the sign change due to dividing by a negative value. x>=3 ans. Proof: Let x=3.1 3-4*3.1<=3*3.1-18 3-12.3<=9.3-18 -9<=-8.7
 Linear-systems/312578: Solve this linear system. 2y=3x+2 (Give answer in ordered pair) Solve this linear system. 3x-4y=8 (Give answer in ordered pair)1 solutions Answer 223475 by checkley77(12569)   on 2010-06-08 18:13:34 (Show Source): You can put this solution on YOUR website!2y=3x+2 y=3x/2+2/2 y=3x/2+1(red line) (-2/3,1) ans 3x-4y=8 -4y=-3x+8 y=-3x/-4+8/-4 y=3x/4-2 (green line) (8/3,-2) ans. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 3x/2 +1 and 3x/4 -2).
 Graphs/312579: Please help me solve this equation: 9x + 10= 17x - 61 solutions Answer 223471 by checkley77(12569)   on 2010-06-08 17:55:46 (Show Source): You can put this solution on YOUR website!9x + 10= 17x - 6 9x-17x=-6-10 -8x=-16 x=-16/-8 x=2 ans. Proof: 9*2+10=17*2-6 18+10=34-6 28=28
 Equations/312566: 4h+7h-16=6 1 solutions Answer 223468 by checkley77(12569)   on 2010-06-08 17:49:49 (Show Source): You can put this solution on YOUR website!4h+7h-16=6 11H=6+16 11H=22 H=22/11 H=2 ANS. PROOF: 4*2+7*2-16=6 8+14=6+16 22=22
 Graphs/312576: Please help me solve this inequality: 9x + 10= 17x - 61 solutions Answer 223467 by checkley77(12569)   on 2010-06-08 17:46:43 (Show Source): You can put this solution on YOUR website!9x + 10= 17x - 6 9X-17X=-6-10 -8X=-16 X=-16/-8 X=2 ANS. PROOF: 9*2+10=17*2-6 18+10=32-6 28=28
 Graphs/312500: Regrind, Inc. regrinds used typewriter platens. The cost per platen is \$1.70. The fixed cost to run the grinding machine is \$112 per day. If the company sells the reground platens for \$3.70, how many must be reground daily to break even?1 solutions Answer 223465 by checkley77(12569)   on 2010-06-08 17:39:34 (Show Source): You can put this solution on YOUR website!112=(3.70-1.70)X 112=2X 2X=112 X=112/2 X=56 PLATENS PER DAY ARE REQUIRED TO BREAK EVEN.
 Miscellaneous_Word_Problems/312502: The length of a rectangular field is 50 meters more than twice it's length. If the perimeter is 700 meters, find the dimensions of the field.1 solutions Answer 223463 by checkley77(12569)   on 2010-06-08 17:35:19 (Show Source): You can put this solution on YOUR website!L=2W+50 P=2L+2W 700=2(2W+50)+2W 700=4W+100+2W 700=6W+100 6W=700-100 6W=600 W=600/6 W=100 ANS. FOR THE WIDTH. L=2*100+50=200+50=250 ANS. FOR THE LENGTH. PROOF: 700=2*250+2*100 700=500+200 700=700
 Travel_Word_Problems/312517: If 2 automoblies start at the same place and the same route and the first averge is 40 miles and the 2nd is 55 miles, how many miles along the route is the 2nd auto at the end of 5 hours?1 solutions Answer 223462 by checkley77(12569)   on 2010-06-08 17:22:17 (Show Source): You can put this solution on YOUR website!d=rt d=55*5=275 miles is the distance traveled.
 Travel_Word_Problems/312520: Mary worked 16 1/2 hour during 5 days, of the past week what was her average work day? 1 solutions Answer 223461 by checkley77(12569)   on 2010-06-08 17:20:09 (Show Source): You can put this solution on YOUR website!16.5/5=3.3 hours per day.
 Numbers_Word_Problems/312531: The sum of the squares of two consecutive positive numbers is 41. What is the smaller number?1 solutions Answer 223460 by checkley77(12569)   on 2010-06-08 17:01:15 (Show Source): You can put this solution on YOUR website!LET X & X+1 BE THE 2 NUMBERS. 41=X^2+(X+1)^2 41=X^2+X^2+2X+1 2X^2+2X+1-41=0 2X^2+2X-40=0 2(X^2+X+420)=0 2(X+5)(X-4)=0 X-4=0 X=4 ANS FOR THE SMALLER NUMBER. PROOF: 41=4^2+(4+1)^2 41=16+5^2 41=16+25 41=41
 Length-and-distance/312561: Write an equation that represents the distance around three sides of a rectangle in terms of its length (l) and width (w). 1 solutions Answer 223459 by checkley77(12569)   on 2010-06-08 16:55:57 (Show Source): You can put this solution on YOUR website!D=2L+W D=2W+L
 Numbers_Word_Problems/312533: the area of a rug is 36 square feet. The length of the rug is 5 feet longer than the width. What is the width of the rug?1 solutions Answer 223455 by checkley77(12569)   on 2010-06-08 16:50:11 (Show Source): You can put this solution on YOUR website!L=W+5 AREA=LW 36=(W+5)W 36=W^2+5W W^2+5W-36=0 (W+9)(W-4)=0 W-4=0 W=4 ANS. FOR THE WIDTH. L=4+5=9 ANS. FOR THE LENGTH. PROOF: 36=4*9 36=36
 Rectangles/312537: If the perimeter of a rectangle is 60 inches. If the width of the rectangle is 12 inches, then what is the length of the rectangle?1 solutions Answer 223453 by checkley77(12569)   on 2010-06-08 16:45:46 (Show Source): You can put this solution on YOUR website!P=2L+2W 60=2L+2*12 60=2L+24 2L=60-24 2L=36 L=36/2 L=18 ANS. FOR THE LENGTH. PROOF: 60=2*16+2*12 60=36+24 60=60
 Human-and-algebraic-language/312551: The Candy Shack sells a particular candy in two different size packages. One size sells for \$1.25 and the other sells for \$1.75. If the store received \$65.50 for 42 packages of candy, how many of each size were sold?1 solutions Answer 223450 by checkley77(12569)   on 2010-06-08 16:33:27 (Show Source): You can put this solution on YOUR website!1.75x+1.25(42-x)=65.50 1.75x+52.50-1.25x=65.50 .50x=65.50-52.50 .50x=13 x=13/.50 x=26 number of \$1.75 sizes sold. 42-26=16 number of \$1.25 sizes sold. Proof: 1.75*26+1.25*16=65.50 45.50+20,00=65.50 68.50=65.50
 Miscellaneous_Word_Problems/312217: Mardi received an inheritance of \$70,000. She invested part at 10% and deposited the remainder in tax-free bonds at 8%. Her total annual income from the investments was \$6800. Find the amount invested at 10%.1 solutions Answer 223240 by checkley77(12569)   on 2010-06-07 18:58:28 (Show Source): You can put this solution on YOUR website!.10x+.08(70,000-x)=6,800 .10x+5,600-.08x=6,800 .02x=6,800-5,600 .02x=1,200 x=1,200/.02 x=\$60,000 amount invested @ 10%. Proof: .10*60,000+.08(70,000-60,000)=6,800 6,000+.08*10,000=6,800 6,000+800=6,800 6,800=6,800
 Pythagorean-theorem/312220: The product of two consecutive even integers is 224. Find the integers1 solutions Answer 223239 by checkley77(12569)   on 2010-06-07 18:53:39 (Show Source): You can put this solution on YOUR website!x(x+2)=224 x^2+2x=224 x^2+2x-224=0 (x+16)(x-14)=0 x+16=0 x=-16 ans. x-14=0 x=14 ans.
 Inequalities/312233: 10>5(a+8)1 solutions Answer 223237 by checkley77(12569)   on 2010-06-07 18:48:16 (Show Source): You can put this solution on YOUR website!10>5(a+8) 10>5a+40 10-40>5a -30>5a -30/5>a -6>a ans. Proof: Let a=-7 10>5(-7+8) 10>5*1 10>5
 Inequalities/312235: a/4-7< -121 solutions Answer 223234 by checkley77(12569)   on 2010-06-07 18:44:00 (Show Source): You can put this solution on YOUR website!a/4-7< -12 a/4<-12+7 a/4<-5 a<-5*4 a<-20 ans. Proof: Let a=-21 -21/4-7<-12 -21/4<-12+7 -21/4<-5 -5.25<-5