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Recent problems solved by 'checkley77'

checkley77 answered: 12560 problems
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Radicals/317579: find the distance between (-2,9) and (-5,15) a) 18.67 b) 45.02 c) 6.71 d) 24.18 1 solutions Answer 227469 by checkley77(12569)   on 2010-06-25 23:04:58 (Show Source): You can put this solution on YOUR website! (-2,9) and (-5,15) X d9stance=-2+5=3 units. Y distance=15-9=6 units. a^2+b^2=c^2 3^2+6^2=c^2 9+36=c^2 c^2=45 c=sqrt45 c=6.71 ans. C) for the distance.

Geometry_Word_Problems/317581: A Rectangular Persian Carpet has a perimeter of 164 inches. The length of the carpet is 20 inches more than the width. What are the dimensions of the carpet? 1 solutions Answer 227464 by checkley77(12569)   on 2010-06-25 23:00:16 (Show Source): You can put this solution on YOUR website! L=W+20 P=2L+2W 164=2(W+20)+2W 164=2W+40+2W 164=4W+40 4W=164-40 4W=124 W=124/4 W=31 IN. ANS. FOR THE WIDTH. L=31+20=51 IN. ANS. FOR THE LENGTH. PROOF: 164=2*51+2*31 164=102+62 164=164

Polynomials-and-rational-expressions/317595: multiply and simplify (6d)^3 (6d)^9 1 solutions Answer 227461 by checkley77(12569)   on 2010-06-25 22:55:34 (Show Source): You can put this solution on YOUR website! (6d)^3 (6d)^9 216d^3*10,077,696d^9 2,176,782,336d^12 ans.

Problems-with-consecutive-odd-even-integers/317611: Underwater elevation. The deepest point in the Pacific Ocean is the Marianas Trench, with a depth of 10,911 m. The deepest point in the Atlantic Ocean is the Puerto Rico Trench, with a depth of 8648 m. What is the difference in elevation of the two trenches? can some one help me with this 1 solutions Answer 227455 by checkley77(12569)   on 2010-06-25 22:38:35 (Show Source): You can put this solution on YOUR website! 10,911-8,648=2,263 m. is the difference in the elevations & the depth.

Equations/317623: Find the x-intercepts for the graph of the equation y = x^2 - 4x -5 The x-intercepts are Second Question: Multiply (-2m^2)^2 (4m^2)^2 1 solutions Answer 227454 by checkley77(12569)   on 2010-06-25 22:33:41 (Show Source): You can put this solution on YOUR website! y = x^2 - 4x -5 (graph 300x200 pixels, x from -6 to 10, y from -10 to 10, x^2 -4x -5). X intercepts (-1,0) & (-5,0) ----------------------------------- (-2m^2)^2(4m^2)^2 (4m^4)(16m^4) 64m^8 ans.

Human-and-algebraic-language/317626: Can someone show me the steps on how to solve this type of problem. (a-5)/(2)= (3a)/(2)+(a-30)/(6) 1 solutions Answer 227453 by checkley77(12569)   on 2010-06-25 22:20:07 (Show Source): You can put this solution on YOUR website! (a-5)/(2)= (3a)/(2)+(a-30)/(6) (a-5)/2-(3a)/2=(a-30)/6 (a-5-3a)/2=(a-30)/6 (-2a-5)/2=(a-30)/6 multiply by 6. 3(-2a-5)=a-30 -6a-15=a-30 -6a-a=-30+15 -7a=-15 a=-15/-7 a=15/7 ans.

Systems-of-equations/317632: an airplane travels 2277km against the wind in 3 hours and 2667km with the wind in the same amount of time. what is the rate of the plane in still air and what is the rate of the wind? 1 solutions Answer 227452 by checkley77(12569)   on 2010-06-25 22:09:05 (Show Source): You can put this solution on YOUR website! D=RT 2277=R*5 5R=2277 T=2277/5 T=455.4 KM/H. AGAINST THE WIND. 2667=R*5 5T=2667 T=2667/5 R=533.4 KM/H WITH THW WIND. (533.4-455.4)/2=78/2=39 KM/H IS THE WIND SPEED. 533.4-39=494.4 KM/H IS THE SPEED OF THE PLANE IN STILL AIR. 455.4+39=494.4 DITTO.

Polynomials-and-rational-expressions/317599: evaluate b^2-9 when b=-6 1 solutions Answer 227446 by checkley77(12569)   on 2010-06-25 21:37:37 (Show Source): You can put this solution on YOUR website! b^2-9 when b=-6 -6^2-9 36-9=27 ans.

Polynomials-and-rational-expressions/317601: add (9+5x+3x^2+8x^3)+(7-5x+3x^2-8x^3 1 solutions Answer 227445 by checkley77(12569)   on 2010-06-25 21:35:45 (Show Source): You can put this solution on YOUR website! (9+5x+3x^2+8x^3) (7-5x+3x^2-8x^3) ------------------ 16+6x^2=2(8+3x^2) ans.

Equations/317602: Solve 5x^2=10 and find the x intercepts of f(x) = 5x^2-10 1 solutions Answer 227442 by checkley77(12569)   on 2010-06-25 21:31:50 (Show Source): You can put this solution on YOUR website! f(x) = 5x^2-10 5x^2-10=0 5x^210 x^2=10/5 x62=2 x=sqrt2 x=+-1.414 X intercept=(1.414,0) & (-1.414,0) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 5x^2 -10).

Coordinate-system/317605: coordinates for the x and y intercepts for the equation 3x+2y=30 1 solutions Answer 227438 by checkley77(12569)   on 2010-06-25 21:25:52 (Show Source): You can put this solution on YOUR website! 3x+2y=30 2y=-3x+30 y=-3x/2+30/2 y=-1.5x+15 The y intercept (0,15). 0=-1.5x+30 -1.5x=-30 x=-30/-1.5 x=20 The x intercept(15,0). Proof: (graph 300x200 pixels, x from -6 to 25, y from -10 to 35, -1.5x +30).

Miscellaneous_Word_Problems/317606: two pipes are used to fill a water storage tank. the first pipe takes 12 hours to fill and the two together takes 1 hour less than it takes the 2nd pipe to to fill the tank alone. how long will it take the 2nd pipe to fill the tank? 1 solutions Answer 227435 by checkley77(12569)   on 2010-06-25 21:18:13 (Show Source): You can put this solution on YOUR website! 1/12+1/x=1/(x-1) 1/12=1/(x-1)-1/x 1/12=(x-(x-1)/x(x-1) 1/12=-1/(x^2-x) x^2-x=-12 x^2-x+12=0 (x-4)x+3)=0 x-4=0 x=4 hrs. for the second pipe to fill the tank working alone. Proof: 1/12+1/4=1/(4-1) 1/12+1/4=1/3 1/12+3/12=1/3 4/12=1/3 1/3=1/3

Square-cubic-other-roots/317608: what is 3x^-1 1 solutions Answer 227432 by checkley77(12569)   on 2010-06-25 21:00:56 (Show Source): You can put this solution on YOUR website! 3x^-1 3/x ans.

Problems-with-consecutive-odd-even-integers/317613: Can some one show me how to do this problem (-3/5)/6/15 thanks 1 solutions Answer 227431 by checkley77(12569)   on 2010-06-25 20:58:20 (Show Source): You can put this solution on YOUR website! (-3/5)/6/15 -3/5*15/6 -3*15/5*6 -45/30 -3/2=-1.5 ans.

Functions/317620: find the equation of a line containing the points (-2,-4),(-8,-7). I have tried to but i am not understanding. I do really good until I get to the end. I keep following the examples in my lesson but I don't understand how they are getting the answers they are getting 1 solutions Answer 227429 by checkley77(12569)   on 2010-06-25 20:52:18 (Show Source): You can put this solution on YOUR website! (-2,-4),(-8,-7). Y=mX+b is the line equation. m=the slope=(Y2-Y1)/(X2-X1) b=the Y intercept. m=(-7+4)/(-8+2)=-3/-6=1/2 ans. for the slope. -4=1/2*-2+b -4=-1+b b=-4+1 -3 ans. for the Y intercept. y=x/2-3 is this line equation. Proof: (graph 300x200 pixels, x from -10 to 5, y from -10 to 10, x/2 -3).

Equations/317615: Solve: x^2 + 18x - 4 = 0 1 solutions Answer 227428 by checkley77(12569)   on 2010-06-25 20:40:32 (Show Source): You can put this solution on YOUR website! x^2 + 18x - 4 = 0 x=(-18+-sqrt[18^2-4*1-4])/2*1 x=(-18+-sqrt[324+16])/2 x=(-18+-sqrt340/2 x=(-18+-18.439)/2 x=(-18+18.439)/2 x=.439/2 x=.22 ans. x=(-18-18.439)/3 x=-36.439/2 x=-18.22 ans.

Systems-of-equations/317305: Find the values of and that solve the following system of equations: 3x-4y=20 -8x-5y=25 1 solutions Answer 227211 by checkley77(12569)   on 2010-06-24 20:37:30 (Show Source): You can put this solution on YOUR website! 3x-4y=20 multiply by 8 -8x-5y=25 multiply by 3 & add. 24x-32y=160 -24x-15y=75 ------------------ -47y=235 y=235/-47 y=-5 ans. 3x-4*-5=20 3x+20=20 3x=20-20 3x=0 x=0 Proof: -8*0-32*-5=160 0+160=160 160=160

Polygons/317307: find x and y in this proportion 2/3=x/6=9/y 1 solutions Answer 227208 by checkley77(12569)   on 2010-06-24 20:32:14 (Show Source): You can put this solution on YOUR website! 2/3=x/6=9/y 2/3=4/6=9/13.5 ans.

Exponents/317309: Simplify. b6 a _____ b2 a3 1 solutions Answer 227205 by checkley77(12569)   on 2010-06-24 20:29:56 (Show Source): You can put this solution on YOUR website! b^6 a _____ b^2 a^3

Systems-of-equations/317311: Simply Write your answer without parenthesis. (-2a4)2 ___ ( b ) 1 solutions Answer 227204 by checkley77(12569)   on 2010-06-24 20:26:24 (Show Source): You can put this solution on YOUR website! (-2a4)2 ___ ( b ) ans.

Surface-area/317313: Find the surface area of a square prism with a side measure of 15 1 solutions Answer 227202 by checkley77(12569)   on 2010-06-24 20:22:32 (Show Source): You can put this solution on YOUR website! a SQUARE HAS 6 EQUAL SIDES & 6 EQUAL SURFACES EACH 15 BY 15. SA=6*15^2 SA=6*225 SA=1,350^2 ANS.

Equations/317337: the perimeter of a rectangle is 42 meters the lengh of the rectangle is 3 meters less than twice the width ,find the length and width of the rectangle 1 solutions Answer 227200 by checkley77(12569)   on 2010-06-24 20:13:54 (Show Source): You can put this solution on YOUR website! L=2W-3 P=2L+2W 42=2(2W-3)+2W 42=4W-6+2W 6W=42+6 6W=48 W=48/6 W=8 ANS. FOR THE WIDTH. L=2*8-3 L=16-3=13 ANS. FOR THE LENGTH. PROOF: 42=2*13+2*8 42=26+16 42=42

Equations/317338: in a traingle one angle is twice the measure of the second angle the third angle is three times the measure of the second angle .find the measure of each angle 1 solutions Answer 227198 by checkley77(12569)   on 2010-06-24 20:07:31 (Show Source): You can put this solution on YOUR website! 2x, x, 3x are the 3 angles. 2x=x+3x=180 6x=180 x=180/6 x=30 ans. for the second angle 2*30=60 ans. for the first angle. 3*30=90 ans. for the third angle. Proof: 60+30+90=180 180=180

Miscellaneous_Word_Problems/317199: The length of a rectanglar garden is 4 m greater than the width. The area of the garden is 96 cm.sq. Find the length and width. 1 solutions Answer 227188 by checkley77(12569)   on 2010-06-24 19:22:27 (Show Source): You can put this solution on YOUR website! L=W+4 A=LW 96=(W+4)W 96=W^2+4W W^2+4W-96=0 (W+12)(W-8)=0 W-8=0 W=8 ANS. L=8+4=12 ANS. PROOF: 96=12*8 96=96

Miscellaneous_Word_Problems/317207: movie theater seats 100 patrons. The theater is full for the 5:00 pm Saturday movie. Adult tickets sell for $9.00 each and children’s tickets sell for $5.00 each. If the theater collected $640 in ticket sales for the 5:00 pm Saturday show, how many children’s tickets were sold? 1 solutions Answer 227186 by checkley77(12569)   on 2010-06-24 19:16:57 (Show Source): You can put this solution on YOUR website! A+C=100 A=100-C 9A+5C=640 9(100-C)+5C=640 900-9C+5C=640 -4C=640-900 -4C=-260 C=-260/-4 C=65 ANS. FOR THE NUMBER OF CHILDREN. 100-65=35 ADULT TICKETS SOLD. PROOF: 9*35+65*5=640 315+325=640 640=640

Money_Word_Problems/317214: a vertical pole of height 5.60m casts a shadow of lenght 3.20m on the horizontal earth surface,under the similar conditions and at the same time,find 1-the length of the shadow,cast by another vertical pole of height 10.5 metre 2-the vertical height of the pole which cast a shadow of length 5 metre 1 solutions Answer 227180 by checkley77(12569)   on 2010-06-24 18:52:05 (Show Source): You can put this solution on YOUR website! 5.6/3.2=10.5/x cross multiply. 5.6x=3.2*10.5 5.6x=33.6 x=33.6/5.6 x=6 meters. ---------------- 5.6/3.2=x/5 3.2x=5.6*5 3.2x=28 x=28/3.2 x=8.75 mwters.

Travel_Word_Problems/317219: 2 runners are running a track one runner runs it in 24 min, the other runner in 36 minutes when will they both be at the same spot? 1 solutions Answer 227179 by checkley77(12569)   on 2010-06-24 18:46:01 (Show Source): You can put this solution on YOUR website! Find the LCD for 24 & 36 12*2=24 12*3=36 12*2*3=72 is the LCM. Thus in 72 minutes they will meet.

Travel_Word_Problems/317234: A new computer can process a company's monthly payroll in 1 hour less time than the old computer. To really save time, the managert user both computers finished the payroll in 3 hours. How long would it take the new computer to do the payroll by itself? 1 solutions Answer 227176 by checkley77(12569)   on 2010-06-24 18:30:22 (Show Source): You can put this solution on YOUR website! 1/(x-1)+1/x=1/3 find the LCM x(x-1). (x+x-1)/x(x-1)=1/3 combine like terms. (2x-1)/(x^2-x)=1/3 cross multiply. x^2-x=3(2x-1) x^2-x=6x-3 x^2-x-6x+3=0 x^2-7x+3=0 x=(7+-sqrt[-7^2-4*1*3])/2*1 x=(7+-sqrt[49+12])/2 x=(7+-sqrt37)/2 x=(7+-6.08)/2 x=(7+6.08)/2 x=13.08/2 x=6.54 hrs. for the old machine. 6.54-1=5.54 hrs. for the newer machine. Proof: 1/5.54+1/6.54=1/3 .181+.153=.333 .334~.333

Radicals/317264: (2sqrt3-6sqrt7)(4sqrt3+12sqrt7) 1 solutions Answer 227173 by checkley77(12569)   on 2010-06-24 18:10:55 (Show Source): You can put this solution on YOUR website! (2sqrt3-6sqrt7) (4sqrt3+12sqrt7) -------------------- 8*3-24sqrt21+24sqrt21-72*7 24-504=-480 ans.

percentage/317268: Change these percents to fraction form.8 2/3% 1 solutions Answer 227169 by checkley77(12569)   on 2010-06-24 18:07:02 (Show Source): You can put this solution on YOUR website! 8 2/3% (8*3+2)/3*1/100 26/300 ans.Proof: 26/300=.086667=8.667%=8 2/3 %

Quadratic_Equations/317296: Solve the quadratic equation by completing the square: m^2-1/2m=7/2 1 solutions Answer 227165 by checkley77(12569)   on 2010-06-24 17:58:08 (Show Source): You can put this solution on YOUR website! m^2-1/2m=7/2 m^2-m/2+1/16=3.5+1/16 (m-1/4)^2=3.5+.0625 m-1/4=sqrt3.5625 m-1/4=1.887 m=1.887+.25 m=2.137 ans.