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# Recent problems solved by 'checkley77'

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 Polynomials-and-rational-expressions/316669: The period T(time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T^2=pi^2L. If a child is on a swing with a 10-foot chain, then how long does it take to complete one cycle of the swing?1 solutions Answer 226588 by checkley77(12569)   on 2010-06-22 17:11:24 (Show Source): You can put this solution on YOUR website!8T^2=pi^2L 8t^2=9.86*10 8t^2=98.6 t^2=98.6/8 t^2=12.345 t=sqrt12.345 t=3.51 seconds.
 Geometry_Word_Problems/316674: The surface are of a basketball is 900/pi square inches. Find the radius r of the basketball.1 solutions Answer 226586 by checkley77(12569)   on 2010-06-22 17:01:04 (Show Source): You can put this solution on YOUR website!SA=4PIR^ 900PI=4PIR^2 R^2=900PI/4PI R^2=225 R=SQRT225 R=15 IN. PROOF: 900PI=4PI^15^2 900PI=4PI*225 900PI=900PI
 Linear-equations/316370: given , find f(3) a) -3 b) 2 c) -2 d) 31 solutions Answer 226309 by checkley77(12569)   on 2010-06-21 19:54:26 (Show Source): You can put this solution on YOUR website!f(x)=2x-8, find f(3) F(3)=2*3-8 F(3)=6-8 F(3)=-2 ANS. C).
 Radicals/316389: Find the exact area of a triangle with a base of square root 30 meters and a height of square root 6 meters?1 solutions Answer 226308 by checkley77(12569)   on 2010-06-21 19:50:46 (Show Source): You can put this solution on YOUR website!A=BH/2 A=(SQRT30*SQRT6)/2 A=(5.477*2.559)/2 A=13,416/2 A=6.708 ANS. FOR THE AREA.
 Rate-of-work-word-problems/316289: Sinem and Ekin leave the same point driving in opposite direction. Ekin's rate 12km/h more than Sinem's rate. After three hours they are 360km apart. Find the rate of each.1 solutions Answer 226306 by checkley77(12569)   on 2010-06-21 19:45:16 (Show Source): You can put this solution on YOUR website!D=RT 360=(X+X+12)3 360=(2X-12)3 360=6X-36 6X=360+36 6X=324 X=324/6 X=54 km/h is Sinem's rate 54+12=66km/h is Ekin's rate. Proof: 360=(54+66)3 360=120*3 360=360
 Linear-systems/316299: I currently own a restaurant and am in the process of replenishing my stock of dishes. I need to purchase 250 sets of dishes for my restaurant and have found two designs I wish to order. One design costs \$20 per set and the other \$45 per set. I have budgeted \$6,800 to spend on the dishes, so how many of each will I order without going over budget? 1 solutions Answer 226305 by checkley77(12569)   on 2010-06-21 19:39:39 (Show Source): You can put this solution on YOUR website!6,800/20=340 sets can be bought. No problem here. 6,800/45=151 sets can be bought. Can't by 250 sets at this price.
 Finance/316310: c)Write an algebraic expression that illustrates your remaining funds after paying for equipment, rent, and utilities. How much money is left? Simplify the expression by following the rules of Order of Operations. ¬ 1 solutions Answer 226304 by checkley77(12569)   on 2010-06-21 19:34:32 (Show Source): You can put this solution on YOUR website!I believe you left our the values to manipulate!!!!!!
 Radicals/316325: Write a narrative description of what you would do to simplify each one. (16)^(1/2)and Sq. root of 1001 solutions Answer 226303 by checkley77(12569)   on 2010-06-21 19:32:16 (Show Source): You can put this solution on YOUR website!(16)^(1/2) This is a square root problem. I would break down the (16) into its equal multipliers. Sqrt16=sqrt(4*4) Then factor the sqrt value=4 ans. ------------------------------. Sq. root of 100 Again brakdown the 100 into it's 2 equal roots Sqrt100=sqrt(10*10) Then factor thesqrt value=10 ans.
 Polynomials-and-rational-expressions/316326: The mass of Saturn is about 5.688*10^23 metric tons. The mass of the sun is about 1.998*10^27 metric tons. About how many times the mass of Saturn is the mass of the sun? Give your answer in scientific notation. The mass of the sun is about how many times the mass of Saturn? Please advise. Round to the nearest thousandth if needed. Thnak you.1 solutions Answer 226301 by checkley77(12569)   on 2010-06-21 19:26:03 (Show Source): You can put this solution on YOUR website!1.998*10^27/5.688*10^23 .3513*10(27-23) .3513*10^4 3,513*10^3 ans. OR: 3,513 is the size of the Sun compared to Saturn.
 Finance/316332: a 30 year old worker plans to retire at age 65. He believes that \$750,000 is needed to retire comfortably. How much should be deposited now at 5.5% compounded continuously to meet his retirement goal?1 solutions Answer 226296 by checkley77(12569)   on 2010-06-21 19:08:03 (Show Source): You can put this solution on YOUR website!I=pe^(rt) I=p*2.7182^(.055*35) 750,000=p*2.7182^1.925 750,000=p*6.855 p=750,000/6.855 p=\$109,409.19 is the amount to be invested.
 Polynomials-and-rational-expressions/316333: The polynomial 0.041h-0.018a-2.69 can be used to estimate the lung capacity, in liters, of a female with height h, in centimeters, and age a, in years. Find the lung capacity of a 40-year old woman who is 180 centimeters tall. Her lung capacity is approximately how many liters? Please help me with this. Thank you.1 solutions Answer 226293 by checkley77(12569)   on 2010-06-21 18:56:11 (Show Source): You can put this solution on YOUR website!0.041h-0.018a-2.69 0.041h*180-0.018*40-2.69 7.38-.72-2.69=3.97 ans.
 Unit_Conversion_Word_Problems/316343: a car's gasoline tank holds 40 liters. convert to gallons1 solutions Answer 226289 by checkley77(12569)   on 2010-06-21 18:49:02 (Show Source): You can put this solution on YOUR website!1 Liter=.2642 Gallons 40 Liters=40*.2642=10.568 gallons.
 Linear-systems/316345: 7x+y=-2 7x+37=81 solutions Answer 226287 by checkley77(12569)   on 2010-06-21 18:45:48 (Show Source): You can put this solution on YOUR website!7x+y=-2 7x+3(y)=8 subtract. ------------ -2y=-10 y=-10/-2 y=5 ans. 7x+5=-2 7y=-2-5 x=-7 x=-1 ans. Proof: 7*-1+3*5=8 -7+15=8 8=8
 Miscellaneous_Word_Problems/316346: 2 angles are supplementary. the measure of one angle is 16 degrees less than 3 times the measure of the other angle. find the measure of each angle.1 solutions Answer 226280 by checkley77(12569)   on 2010-06-21 18:19:49 (Show Source): You can put this solution on YOUR website!x+y=180 x=3y-16 (3y-16)+y=180 4y-16=180 4y=180+16 4y=196 y=196/4 y=49 ans. for the smaller angle. x=3*49-16 x=147-16=131 ans. for the greater angle. Proof: 49+131=180 180=180
 Surface-area/316348: what is the surface area of a piece of pipe that is open at both ends , has a diameter of 4 feet , and has a height of 12.5 feet ? and we must show our work1 solutions Answer 226279 by checkley77(12569)   on 2010-06-21 18:12:54 (Show Source): You can put this solution on YOUR website!C=2PIR is the circumferance. C=2*3.14*4/2 C=6.28*2=12.56 is the ciecumferance. SA=C*L SA=l12.56*12.5=157 ft^2 is the surface area.
 Square-cubic-other-roots/315956: 3√2x = x+41 solutions Answer 226046 by checkley77(12569)   on 2010-06-20 17:36:43 (Show Source): You can put this solution on YOUR website!3√2x = x+4 square both sides. 9*2x=(x^2+8x+16 18x=x^2+8x+16 x^2+8x-18x+16=0 x^2-10x+16=0 (x-8)(x-2)=0 x-8=0 x=8 ans. x-2=0 x=2 ans.
 Polynomials-and-rational-expressions/315969: add. simplify if possible (7/wz^2)+(1/w^2z)1 solutions Answer 226045 by checkley77(12569)   on 2010-06-20 17:32:44 (Show Source): You can put this solution on YOUR website!(7/wz^2)+(1/w^2z) The LCD is w^2z^2. (7w+z)/(w^2z^2) ans.
 Equations/315996: a student is trying to solve the equation (x + 10)(x - 10)=7. The student has set x + 7 and x - 10 = 7 and found that two solutions x=3, x=17. The student checks the results by plugging inthe solutions into the original equation and finds they do not work. How would you advise the student?1 solutions Answer 226043 by checkley77(12569)   on 2010-06-20 17:25:26 (Show Source): You can put this solution on YOUR website!(x + 10)(x - 10)=7 EXPAND THE LEFT HAND TERMS. X^2-100=7 COMBINE LIKE TERMS. X^2-100+7=0 X^2-97=0 X^2=97 X=SQRT97 X=+-9.85 ANS.
 Equations/315998: The length of a rectangle is 5 ft more than its width and its area is 84 square feet. Find its width and length. Let x represent the width of the rectangle and translate the problem into an equation. Don't solve.1 solutions Answer 226042 by checkley77(12569)   on 2010-06-20 17:18:17 (Show Source): You can put this solution on YOUR website!L=X+5 A=L*W 84=(X+5)X
 Linear-equations/315914: how to graph an equation using two points?1 solutions Answer 226040 by checkley77(12569)   on 2010-06-20 17:15:24 (Show Source): You can put this solution on YOUR website!Two points (3,-4) & (-1,5) Y=mX+b where m=slope & b=the Y intercept. Slope=(Y2-Y1)/(X2-X1) Slope=(5+4)/(-1-3) Slope=9/-4=-9/4 ans. -4=-9/4*3+b -4=-27/4+b b=-4+27/4 b=-16/4+27/4 b=11/4 ans. for the Y intercept. Y=-9X/4+11/4 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -9x/4 +11/4).
 Rectangles/315932: The length of a rectangle is 3 times its width. If the perimeter is 64 yards what is the area?1 solutions Answer 226034 by checkley77(12569)   on 2010-06-20 17:00:38 (Show Source): You can put this solution on YOUR website!L=3W P=2L+2W 64=2*3W+2W 64=6W+2W 64=8W 8W=64 W=64/8 W=8 ANS. FOR THE WIDTH. L=3*8=24 ANS. FOR THE LENGTH. PROOF: 64=2*24+2*8 64=48+16 64=64
 percentage/315940: What is 15% of 30% of 50%1 solutions Answer 226032 by checkley77(12569)   on 2010-06-20 16:56:58 (Show Source): You can put this solution on YOUR website!15% of 30% of 50% .15*.30*.50=.0225 or 2.25% ANS.
 Equations/315944: What is the equation needed to back tax % out of a number. i.e. If you have \$20,710 in sales including tax at 8.75 % what are the pre tax sales1 solutions Answer 226029 by checkley77(12569)   on 2010-06-20 16:54:10 (Show Source): You can put this solution on YOUR website!20,710(1-.0875) 20,710*.9125=\$18,897.88 ANS.
 Coordinate-system/315950: With a slope of 4 and passing thru the point (1,-1) find the equation of the line. Thanks for the help!1 solutions Answer 226025 by checkley77(12569)   on 2010-06-20 16:47:13 (Show Source): You can put this solution on YOUR website!slope=4 thru (1,-1) Y=mX+b -1=4*1+b -1=4+b b=-1-4 b=-5 ans for the Y intercept. Y=4X-5 ans. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 4x -5).
 Distributive-associative-commutative-properties/315955: 2/3÷-8/5=1 solutions Answer 226024 by checkley77(12569)   on 2010-06-20 16:41:05 (Show Source): You can put this solution on YOUR website!2/3÷-8/5 2/3*-5/8 -10/24 -5/12 ans.
 Numeric_Fractions/315964: What is the answer to this equation when divided to the lowest term? (7w/10wy)/(3w/8y)1 solutions Answer 226022 by checkley77(12569)   on 2010-06-20 16:38:49 (Show Source): You can put this solution on YOUR website!(7w/10wy)/(3w/8y) cancel the w (7/10y)/(3w/8y) invert & multiply. 7/10y*8y/3w reduce. 56/30w 28/15w ans.
 Polynomials-and-rational-expressions/315966: Divide and simplify (-49+7x/3)/(121x-847/9)1 solutions Answer 226021 by checkley77(12569)   on 2010-06-20 16:34:28 (Show Source): You can put this solution on YOUR website!(-49+7x/3)/(121x-847/9) (-49+7x/3)*9/(121x-7) factor. [7(x-7)/3][9/121(x-7)]reduce. 3[7]/121 21/121 ans.
 Polynomials-and-rational-expressions/315967: add (3/5+y)+(1/5+y)1 solutions Answer 226016 by checkley77(12569)   on 2010-06-20 16:18:09 (Show Source): You can put this solution on YOUR website!(3/5+y) +(1/5+y) --------------- 4/5+2y ans.
 Polynomials-and-rational-expressions/315973: Simplify by removing factors of 1 42y^7/54y^41 solutions Answer 226015 by checkley77(12569)   on 2010-06-20 16:16:04 (Show Source): You can put this solution on YOUR website!42y^7/54y^4 7y^(7-4)/9 ans. 7y^3/9
 Polynomials-and-rational-expressions/315975: Solve s/9-9/s=01 solutions Answer 226014 by checkley77(12569)   on 2010-06-20 16:12:52 (Show Source): You can put this solution on YOUR website!s/9-9/s=0 Find the LCM (9s) (s*s-9*9)/9s=0 s^2-81=0 (s+9)(s-9)=0 s+9=0 s=-9 ans. s-9=0 s=9 ans. Proof: -9/9-9/-9=0 -1+1=0 0=0 9/9+9/-9=0 1-1=0 0=0
 Sequences-and-series/315979: The length of a rectangle is 3 cm more than 2 times its width. If the area of the rectangle is 93 cm2, find the dimensions of the rectangle. Enter your answers in the blanks. Enter only the numeric values rounded to the nearest thousandth of a centimeter. Width = __________cm, Length = _________cm. 1 solutions Answer 226012 by checkley77(12569)   on 2010-06-20 16:02:57 (Show Source): You can put this solution on YOUR website!L=2W+3 A=LW 93=(2W+3)W 93=2W^2+3W 2W^2+3W-93=0 W=(-3+-SQRT93^3-4*2*-93])/2*2 W=(-3+-SQRT[9+744])/4 W=(-3+-SQRT753)/4 W=(-3+-27.44)/4 W=(-3+27.44)/4 W=24.44/4 W=6.11 ANS. FOR THE WIDTH. L=2*6.11+3=12.22+3=15.22 ANS. FOR THE LENGTH. PROOF: 93=15.22*6.11 93~93