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Recent problems solved by 'checkley77'

checkley77 answered: 12560 problems
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Numbers_Word_Problems/314192: 3 times the first of three consecutive numbers is 4 more than 2 times the second. Write an equation and solve the problem. 1 solutions Answer 224655 by checkley77(12569)   on 2010-06-14 16:49:34 (Show Source): You can put this solution on YOUR website! X, X+1 & X+2 ARE THE 3 INTEGERS. 3X=2(X+1)+4 3X=2X+2+4 3X-2X=6 X=6 ANS. FOR THE FIRST INTEGER. 6+1=7 ANS. FOR THE SECOND INTEGER. PROOF: 3*6=2*7+4 18=14+4 18=18

Travel_Word_Problems/314193: Martine leaves home at 9 a.m., bicycling at a rate of 24 mi/hr. Two hours later, John leaves, driving at the rate of 48 mi/hr. At what time will John catch up with Martine? 1 solutions Answer 224654 by checkley77(12569)   on 2010-06-14 16:46:23 (Show Source): You can put this solution on YOUR website! D=RT D=24T FOR MARTINE D=48(T-2) FOR JOHN 24T=48(T-2) 24T=48T-96 24T-48T=-96 -24T=-96 T=-96/-24 T=4 HOURS AFTER 9:00 AM THEY WILL MEET.

Money_Word_Problems/314195: A real estate agent's commission rate is 6%. What will the amount of the commission be on the sale for a 185,000 home? 1 solutions Answer 224652 by checkley77(12569)   on 2010-06-14 16:42:14 (Show Source): You can put this solution on YOUR website! Selling price*commissiom percentage=commission value. 185,000*.06=$11,100 ANS. FOR THE COMMISSION.

Geometry_Word_Problems/314196: The length of a rectangle is 5 cm less than 3 times its width. If the perimeter of the rectangle is 46 cm, find the dimensions of the rectangle. 1 solutions Answer 224651 by checkley77(12569)   on 2010-06-14 16:40:43 (Show Source): You can put this solution on YOUR website! Sorry. I must have bneen tired & misread the problem. You're right. L=3W-5 P=2L+2W 46=2(3W-5)+2W 46=6W-10+2W 46=8W-10 8W=46+10 8W=56 W=56/8 W=7 cm. ANS. FOR THE WIDTH. L=3*7-5=21-5=16 cm. ANS. FOR THE LENGTH. PROOF: 46=2*16+2*7 46=32+14 46=46

Geometry_Word_Problems/314226: a 5 foot border is added to all four sides of a rectangular playing field of 40 feet by 30 feet.What is the area in square feet of the added border? 1 solutions Answer 224650 by checkley77(12569)   on 2010-06-14 16:34:04 (Show Source): You can put this solution on YOUR website! 40*30=1,200 ft^2 is the area of the playing field. (40+10)(30+10)=50*40=2,000 ft^2 is the total area of the field & the border. 2,000-1,200=800ft^2 is the area of the border.

Money_Word_Problems/314255: Alicia has $7000 invested; some at 7% and the remainder at 8%. After one year, the interest from the 7% investment exceeds the interest from the 8% investment by $70. How much is invested at each rate. Thanks in advance for any assistance! 1 solutions Answer 224649 by checkley77(12569)   on 2010-06-14 16:30:10 (Show Source): You can put this solution on YOUR website! .08x+70=.07(7,000-x) .08x+70=490-.07x .08x+.07x=490-70 .15x=420 x=420/.15 x=2,800 amount invested @ 8%. 7,000-2,800=4,200 amount invested @ 7%. Proof: .08*2,800+70=.07*4,200 224+70=294 294=294

Rational-functions/314259: solve: z+9/z= -10 1 solutions Answer 224647 by checkley77(12569)   on 2010-06-14 16:21:26 (Show Source): You can put this solution on YOUR website! z+9/z= -10 (z*z+9)/z=-10 (z^2+9)/z=-10 cross multiply. z^2+9=-10z z^2+10z+9=0 (z+9)(z+1)=0 z+9=0 z=-9 ans. z+1=0 z=-1 ans.

Equations/313940: Please help me solve this word problem equation A boat's crew rowed 12 miles downstream, with the current in 2 hours. The return trip upstream against the current covered the same distance but took 3 hours. Find the crew's rowing rate in still water and the rate of the current. 1 solutions Answer 224501 by checkley77(12569)   on 2010-06-13 21:24:43 (Show Source): You can put this solution on YOUR website! D=RT 12=R*2 R=12/2 R=6 MPH WITH THE CURRENT. 12=R*3 R=12/3 4 MPH AGAINST THE CURRENT. (6+4)/2=10/2=5 MPH IS THE SPEED OF THE BOAT IN STILL WATER. 6-5=1 MPH FOR THE CURRENT. 5-4=1 DITTO.

Linear-systems/313987: write an equation of the line containing the given point and parallel to the given line y=mx+b (2,7)x+8y=9 y= 1 solutions Answer 224500 by checkley77(12569)   on 2010-06-13 21:12:21 (Show Source): You can put this solution on YOUR website! (2,7) x+8y=9 8y=-x+9 y=-x/8+9/8 (red line) This line has a slope=-1/8. The parallel line will also have a slope=-1/8 7=-1/8*2+b 7=-2/8+b b=7+1/4 b=(28+1)/4 b=29/4 The Y intercept. y=-x/8+29/4 (green line) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -x/8 +9/8 and -x/8 +29/4).

Problems-with-consecutive-odd-even-integers/313988: The sum of two integers is 10, and their product is 24. Find the two integers. 1 solutions Answer 224497 by checkley77(12569)   on 2010-06-13 21:04:58 (Show Source): You can put this solution on YOUR website! x+y=10 or x=10-y xy=24 (10-y)y=24 10y-y^2=24 -y^2+10y-24=0 y^2-10y+24=0 (y-6)(y-4)=0 y-=0 y=6 ans. x=10-6=4 ans. y-4=0 y=4 ans. x=10-4=6 ans. Proof: 4*6=24

Miscellaneous_Word_Problems/313989: A rectangular pool is 30 feet wide and 40 feet long. It is surrounded on all four sides by a wooden deck that is x feet wide. The total area enclosed within the perimeter of the deck is 3000ft^2. What is the width of the deck? 1 solutions Answer 224490 by checkley77(12569)   on 2010-06-13 20:52:39 (Show Source): You can put this solution on YOUR website! (30+2x)(40+2x)=3,000 1,200+80x+60x+4x^2=3,000 4x^2+140x+1,200-3,000=0 4x^2+140x-1800=0 (2x-20)(2x+90)=0 2x-20=0 2x=20 x=20/2 x=10 ft. ans. for the width of the wooden deck. Proof: (30+2*10)(40+2*10)=3,000 (30+20)(40+20)=3,000 50*60= 3,000 3,000=3,000

Numbers_Word_Problems/313990: You inherit $10,000 with the stipulation that you for the first year the money must be invested in two stocks paying 6% and 11% annual interest respectively. How much should be invested at each rate if the total interest earned for the the year is to be be $700? 1 solutions Answer 224484 by checkley77(12569)   on 2010-06-13 20:42:27 (Show Source): You can put this solution on YOUR website! .11x+.06(10,000-x)=700 .11x+600-.06x=700 .05x=700-600 .05x=100 x=100/.05 x=2,000 the amount invested @ 11%. 10,000-2,000=8,ooo the amount invested @ 6%. Proof: .11*2,000+.06*8,000=700 220+480700 700=700

Linear-equations/313991: Write an equation of the line containing the given point and parallel to the given line. (4,-1); 8x-9y=5 1 solutions Answer 224481 by checkley77(12569)   on 2010-06-13 20:37:00 (Show Source): You can put this solution on YOUR website! (4,-1); 8x-9y=5 -9y=-8x+5 y=-8x/-9+5/-9 y=8x/9-5/9 This line has a slope=8/9. (red line) The parallel line will also have a slope=8/9. -1=8/9*5+b -1=40/9+b b=-1-40/9 b=-9/9-40/9 b=-49/9 the Y intercept. y=8x/9-49/9 is the equation for the parallel line. (green line). (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 8x/9 -5/9 and 8x/9 -49/9).

Rate-of-work-word-problems/313993: A mason can build a wall in 10 hours. An apprentice can build a wall in 15 hours. How long would it take them to build the wall if they worked together? 1 solutions Answer 224479 by checkley77(12569)   on 2010-06-13 20:29:20 (Show Source): You can put this solution on YOUR website! 1/10+1/15=1/x (15+10)/10*15=1/x 25/150=1/x 1/6=1/x x=6 hours ans. when they work together,

Linear-equations/313994: y=-6/5+4 1 solutions Answer 224477 by checkley77(12569)   on 2010-06-13 20:26:02 (Show Source): You can put this solution on YOUR website! y=-6/5+4 y=-6/5+20/5 y=(-6+20)/5 y=14/5 ans.

Graphs/314002: could you help me solve 2x-y=1 8x-4y=-8 by graphing 1 solutions Answer 224475 by checkley77(12569)   on 2010-06-13 20:23:04 (Show Source): You can put this solution on YOUR website! 2x-y=1 -Y=-2X+1 Y=2X-1 (RED LINE) 8x-4y=-8 -4Y=-8X-8 4Y=8X+8 Y=8X/4+8/4 Y=2X+2 (GREEN LINE) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 2x =1 and 2x +2). These two lines are parallel thus no intersection & no unique solution.

Travel_Word_Problems/314004: Two cars leave philadelphia, one traveling north and the other traveling south. After 3 hours, they are 297 miles apart. If one car is traveling 5 miles per hour faster than the other, what is the speed of each? 1 solutions Answer 224473 by checkley77(12569)   on 2010-06-13 20:16:58 (Show Source): You can put this solution on YOUR website! D=RT 297=(X+X+5)3 297=(2X+5)3 297=6X+15 6X=297-15 6X=282 X=282/6 X=47 MPH. FOR THE SLOWER CAR. 47+5=52 MPH. FOR THE FASTER CAR. PROOF: 297=(47+52)3 297=99*3 297=297

Problems-with-consecutive-odd-even-integers/313933: The product of two positive consecutive integers is 41 more than their sum. Find the integers 1 solutions Answer 224470 by checkley77(12569)   on 2010-06-13 20:08:58 (Show Source): You can put this solution on YOUR website! X(X+1)=X+X+1+41 X^2+X=2X+42 X^2+X-2X-42=0 X^2-X-42=0 (X-7)(X+6) X-7=0 X=7 ANS. X+6=0 X=-6 ANS. PROOF: 7(7+1)=7+8+41 7*8=15+41 56=56 -6(-5)=-6-5+41 30=-11+41 30=30

Equations/313942: Please help me solve this word problem equation, A store mixes Kenyan coffee worth $10 per kilogram and Turkish coffee worth $12 per kilogram.The mixture is to sell for $11 per kilogram.Find how much of each should be used to make a 588-kilogram mixture. How many kilograms of the Kenyan coffee should be in the mixture? How many kilograms of the Turkish coffee should be in the mixture? 1 solutions Answer 224468 by checkley77(12569)   on 2010-06-13 20:00:19 (Show Source): You can put this solution on YOUR website! 12X+10(588-X)=588*11 12X+5,880-10X=6,468 2X=6,468-5,880 2X=588 X=588/2 X=294 POUNDS OF $12 COFFEE IS USED. 588-294=294 LOUNDS OF $10 COFFEE IS USED. PROOF: 12*294+10*294=588*11 3,528+2,940=6,468 6,468=6,468

Numbers_Word_Problems/313954: The sum of two numbers is 2. Five times the first number equals 2 times the second number. Find the two numbers 1 solutions Answer 224467 by checkley77(12569)   on 2010-06-13 19:53:53 (Show Source): You can put this solution on YOUR website! X+Y=2 OR X=2-Y 5X=2Y 5(2-Y)=2Y 10-5Y=2Y -5Y-2Y=-10 -7Y=-10 Y=-10/-7 Y=10/7 ANS. X=2-10/7 Y=14/7-10/7 X=4/7 ANS. PROOF: 5*4/7=2*10/7 20/7=20/7

Numbers_Word_Problems/313958: Jimmy is a partner in an Internet-based coffee supplier.The company offers gourmet coffee beans for $13 per pound and regular coffee beans for $4 per pound. Jimmy is creating a product that will sell for $6 per pound.The first thing to go into the mixing bin was 18 pounds of the gourmet beans. How many pounds of the less expensive regular beans should be added? 1 solutions Answer 224466 by checkley77(12569)   on 2010-06-13 19:49:39 (Show Source): You can put this solution on YOUR website! 18*13+4X=6(18+X) 234+4X=108+6X 4X-6X=108-234 -2X=-126 X=-126/-2 X=63 POUNDS OF $4 COFFEE IS USED. PROOF: 18*13+4*63=6(18+63) 234+252=6*81 486=486

Numbers_Word_Problems/313961: The length of a rectangular room is 6 feet longer than twice the width.If the room's perimeter is 144 feet, what are the room's dimension's? 1 solutions Answer 224465 by checkley77(12569)   on 2010-06-13 19:44:24 (Show Source): You can put this solution on YOUR website! L=2W+6 P=2L+2W 144=2(2W+6)+2W 144=4W+12+2W 144=6W+12 6W=144-12 6W=132 W=132/6 W=22 FT. ANS. FOR THE WIDTH. L=2*22+6 L=44+6=50 FT. ANS. FOR THE LENGTH. PROOF: 144=2*50+2*22 144=100+44 144=144

Quadratic_Equations/313962: find the roots of 4x^2=3x+2 to the nearest hundreth. 1 solutions Answer 224464 by checkley77(12569)   on 2010-06-13 19:40:41 (Show Source): You can put this solution on YOUR website! 4x^2=3x+2 4x^2-3x-2=0 x=(3+-sqrt[-3^2-4*4*-2])/2*4 x=(3+-sqrt[9+36])/8 x=(3+-sqrt41)/68x=(3+-6.403)/6 x=(3+6.403)/8 x=9.403/8 x=1.175 ans. x=(3-6.403)/8 x=-3.403/8 x=-.425 ans.

Linear-equations/313966: write the equation of the line parallel to the equation y=-1/4x+7 and passes through the ordered pair (0,15) 1 solutions Answer 224463 by checkley77(12569)   on 2010-06-13 19:33:12 (Show Source): You can put this solution on YOUR website! y=-1/4x+7 (red line) and passes through the ordered pair (0,15). THIS LINE HAS A SLOPE=-1/4. THE PARALLEL LINE WILL ALSO HAVE A SLOPE=-1/4 15=-1/4*0+b 15=b the Y intercept of the parallel line. Y=-x/4+15 (green line)is the equation for the parallel line passing through (0,15). (graph 300x200 pixels, x from -6 to 15, y from -10 to 20, of TWO functions -x/4 +7 and -x/4 +15).

Quadratic_Equations/313972: a man invested a total of $15000 in two venture..in one he made profit of 8% and in other 4% loss..his net income from the two venture is 240$..how much did he invested in each venture? 1 solutions Answer 224462 by checkley77(12569)   on 2010-06-13 19:26:08 (Show Source): You can put this solution on YOUR website! .08X-.04(15,000-X)=240 .08X-600+.04X=240 .12X=240+600 .12X=840 X=840/.12 X=%7,000 INVESTED @ 8%. 12,000=7,000=$8,000 INVESTED @ 4%. PROOF: .08*7,000-.04(8,000)=240 560-320=240 240=240

Finance/313974: An investment has grown to $89,000 over a 6-year period. The interest was computed daily and the rate was 7 3/8 % per year. What was the original investment? 1 solutions Answer 224461 by checkley77(12569)   on 2010-06-13 19:19:33 (Show Source): You can put this solution on YOUR website! X(1+.07375/365)^6*365=89,000 X(1+.000202)^2,190=89,000 X(1.000202)^2,190=89,000 X*1.556=89,000 X=89,000/1.556 X=$57,197.94 WAS THE ORIGINAL INVESTMENT.

Surface-area/313979: the area of a rectangle is 216 cm2. the base is three more than three times the height. What is the perimeter? 1 solutions Answer 224460 by checkley77(12569)   on 2010-06-13 19:12:15 (Show Source): You can put this solution on YOUR website! B=3H+3 A=BH 216=(3H+3)H 216=3H^2+3H 3H^2+3H-216=0 3(H^2+H-72)=0 3(H+9)(X-8)=0 H-8=0 H=8 ANS. FOR THE HEIGHT. B=3*8+3 B=24+3=27 ANS. FOR THE BASE. PROOF: 216=8*27 216=216

logarithm/313980: All i know is the question, 1+ the square root of (x+5) this is equal to the square root of (x+12) Now what is x?? 1 solutions Answer 224459 by checkley77(12569)   on 2010-06-13 19:06:36 (Show Source): You can put this solution on YOUR website! 1+sqrt(x+5)=sqrt(x+12) square botgh sides. 1+2sqrt(x+5)+x+5=x+12 x-x+2sqrt(x+5)=12-5-1 2sqrt(x+5)=6 square both sides. 4(x+5)=36 4x+20=36 4x=36-20 4x=16 x=16/4 x=4 ans. Proof: 1+sqrt(4+5)=sqrt(4+12) 1+sqrt9=sqrt16 1+3=4 4=4

Linear-systems/313981: find the slope and y intercept of the line 3y+3x+2=11+3x 1 solutions Answer 224458 by checkley77(12569)   on 2010-06-13 18:57:01 (Show Source): You can put this solution on YOUR website! 3y+3x+2=11+3x 3Y=3X-3X+11-2 3Y=9 Y=9/3 Y=3 THE Y INTERCEPT=3. SLOPE IS=0. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 3).

Geometry_Word_Problems/313917: A spherical storage tank has a diameter of 48 ft and is full of water. How many delivery trucks with cylindrical tanks measuring 8 ft in diameter and 10 ft long can be completely filled from the storage tank? A) 230 trucks B) 115 trucks C) 86 trucks D) 1152 trucks 1 solutions Answer 224455 by checkley77(12569)   on 2010-06-13 18:50:50 (Show Source): You can put this solution on YOUR website! V=4/3PI*R^3 V=4/3*3.14*24^3 V=4.187*13,824 V=57,881.09 TANK VOLUME. V=PI*R^2*H V=3.14*4^2*10 V=3.14*16^10 V=3.14*160 V=502.4 VOLUME OF THE TANKER TRUCK. 57,881.09/502.4=115.21 TANKER TRUCK LOADS ARE REQUIRED TO EMPTY THE TANK. ANSWER B)

Travel_Word_Problems/313919: Two bicyclists start at the same time at a given point and travel in the same direction at average speeds of 8 miles per hour and 10 miles per hour. After how long are the bicyclists 5 miles apart? 1 solutions Answer 224451 by checkley77(12569)   on 2010-06-13 18:39:06 (Show Source): You can put this solution on YOUR website! D=RT D=8T D=10T-5 8T=10T-5 8T-10T=-5 -2T=-5 T=-5/-2 T=2/5 T=2.5 HOURS THEY WILL BE 5 MILES APART. PROOF: 8*2.5=10*2.5-5 20=25-5 20=20