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# Recent problems solved by 'checkley77'

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 Graphs/183568: The equation y=-1777x+27,153 can be used to predict the number y of gun deaths in the United States x years after 2000, that is x=0 corresponds to 2000,x=3 corresponds to 2003 x=4 corresponds to 2004, and so on. Predict the number of gun deaths in 2004 and 2009. In what year will the number of gun deaths be 7606? The predicted gun deaths in 2004 will be _____. The predicted gun deaths in 2009 will be ______. The predicted gun deaths in 7606 in the year _____.1 solutions Answer 137804 by checkley77(12569)   on 2009-02-24 15:50:45 (Show Source): You can put this solution on YOUR website!y=-1777x+27,153 2004=-1,777*4+27,153 2004=-7,108+27,153 2004=20,065 ans. 2009=-1,777*9+27,153 2009=-15,993+27,173 2009=11,180 ans 7,606=-1,777x+27,173 7,606=-1,777x+27,173 1,777x=-7,606+27,173 1,777x=19,567 x=19,567/1,777 x=11.01 or the year 2011 the gun death will be 7,606. Proof: 2011=-1,777*11.01+27,153 2011=-19,564.77+27,153 2011~7,606 You also asked to predict the number of deaths in the year 7606. 7606=-1,777*5,606+27,173 7606=-9,961,862+27,173 7606=-9,934,689 deaths. Not a valid ans.
 Polynomials-and-rational-expressions/183575: Simplify: 1 solutions Answer 137797 by checkley77(12569)   on 2009-02-24 15:18:29 (Show Source): You can put this solution on YOUR website!5/5^-2 5*5^2=5*25=125 ans.
 Polynomials-and-rational-expressions/183574: Perform the indicated operations and/or simplify: 1 solutions Answer 137796 by checkley77(12569)   on 2009-02-24 15:15:52 (Show Source): You can put this solution on YOUR website!5x^5y^4z/30x^3yz^2 5/30[x^(5-3)y^(4-1)1/z(2-1) x^2y^3/6z
 Polynomials-and-rational-expressions/183573: Factor completely. 1 solutions Answer 137795 by checkley77(12569)   on 2009-02-24 15:10:29 (Show Source): You can put this solution on YOUR website! 4X^3Y^2(5+2X^6Y-4X^2) ans.
 Graphs/183569: Trains A and B are traveling in the same direction on paralle tracks. Train A is traveling at 100 mph and train B is traveling at 120 mph. Train A passes the station at 9:20 P.M. If train B passes the same station at 9:32 P.M., at what time will train B catch up to train A? __:___ P.M. or A.M.1 solutions Answer 137793 by checkley77(12569)   on 2009-02-24 15:08:09 (Show Source): You can put this solution on YOUR website!D=RT THE DISTANCES ARE THE SAME THUS: 100T=120(T-12/60) 100T=120T-120*.2 100T=120T-24 100T-120T=-24 -20T=-24 T=-24/-20 T=1.2 HOURS AFTER TRAIN A LEAVES THE STATION THEY WILL MEET. PROOF: 100*1.2=120(1.2-.2) 120=120*1 120=120
 Travel_Word_Problems/183571: A certain aircraft can fly 1330 miles with the wind in 5 hours and travel the same distance against the wind in 7 hours. What is the speed of the wind?1 solutions Answer 137791 by checkley77(12569)   on 2009-02-24 15:01:32 (Show Source): You can put this solution on YOUR website!D=RT R=D/T R=1330/5 R=266 MPH WITH THE WIND. R=1330/7 R=190 MPH AGAINST THE WIND (266-190)/2=76/2=38 MPH IS THE WIND SPEED. pROOF: 266-38=228 MPH FOR THE PLAN'S SPEED IN STILL AIR. 190+38=228 DITTO.
 Mixture_Word_Problems/183535: Mike invested \$6000.00 for one year. He invested part of it at 9% and the rest at 11%. At the end of the year he earned \$624.00 in interest. How much did he invest at each rate?1 solutions Answer 137773 by checkley77(12569)   on 2009-02-24 09:50:36 (Show Source): You can put this solution on YOUR website!.11x+.09(6000-x)=624 .11x+540-.09x=624 .02x=624-540 .02x=84 x=84/.02 x=4200 invested @ 11%. 6000-4200=1800 invested @ 9%. Proof: .11*4200+.09*1800=624 462+162=624 624=624
 Problems-with-consecutive-odd-even-integers/183495: What are two consecutive odd integers whose product is 23 more than their sum.1 solutions Answer 137772 by checkley77(12569)   on 2009-02-24 09:45:48 (Show Source): You can put this solution on YOUR website!x(x+2)=x+(x+2)+23 x^2+2x=2x+2+23 x^2+2x-2x-25=0 x^2-25=0 (x-5)(x+5)=0 x-5=0 x=5 ans. x+2=7 ans. Proof: 5*7=5+7=23 35=12+23 35=35
 Geometry_proofs/183498: What has ends that do not meet?1 solutions Answer 137771 by checkley77(12569)   on 2009-02-24 09:39:40 (Show Source): You can put this solution on YOUR website!Any straight line.
 Linear-equations/183513: Find the x-intercept and y-intercept for the following equation of a line. Write them in ordered pairs. Graph the line 5x-3y=-151 solutions Answer 137770 by checkley77(12569)   on 2009-02-24 09:37:44 (Show Source): You can put this solution on YOUR website!5x-3y=-15 -3y=-5x-15 y=-5x/-3-15/-3 y=5x/3+5 (-3,0) & (0,5) are the intercepts. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 5x/3 +5).
 Equations/183518: Can you please help me solve this equation. (x+1)(x-2)=5 1 solutions Answer 137769 by checkley77(12569)   on 2009-02-24 09:33:32 (Show Source): You can put this solution on YOUR website!(x+1)(x-2)=5 x^2-x-2=5 x^2-x-2-5=0 x^2-x-7=0 x = (-b +- sqrt( b^2-4*a*c ))/(2*a) } x=(x+-sqrt[-1^2-4*1*-7])/2*1 x=(1+-sqrt1+28)/2 x=(1+-sqrt29)/2 x=(1+-5.38)/2 x=(1+5.38)/2 x=6.38/2 x=3.19 ans. x=(1-5.38)/2 x=-4.38/2 x=-2.19 ans
 Numeric_Fractions/183525: 6+3x5-4 to the power of 2. 87.93 divided 1.9 (to 2 decimal places).1 solutions Answer 137768 by checkley77(12569)   on 2009-02-24 09:24:37 (Show Source): You can put this solution on YOUR website!6+3x5-4 to the power of 2. (6-4+3x^5) (2+3x^5)^2=4+12x^5+9x^10 ans ---------------------------------------- 87.93 divided 1.9 (to 2 decimal places). 87.93/1.9=46.28 ans.
 Expressions-with-variables/183529: Choose the best answer for the following expression. Polynomials should be in alphabetical order. 7(n-p) + 5p= ?1 solutions Answer 137767 by checkley77(12569)   on 2009-02-24 09:20:27 (Show Source): You can put this solution on YOUR website!7(n-p)+5p=7n-7p+5p=7n-2p ans.
 Graphs/183530: what does the graph y=x^2 look like?1 solutions Answer 137766 by checkley77(12569)   on 2009-02-24 09:18:05 (Show Source): You can put this solution on YOUR website!y=x^2 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x^2).
 Mixture_Word_Problems/183532: Car rental agency A will rent a compact car for \$35 per day and an additional charge of \$.24 per mile. Car rental agency B will charge only \$.16 per mile but charges \$41 per day. If Adam wanted to rent a car for three days, how many miles would Adam have to drive to make car rental agancy B a beter bargain?1 solutions Answer 137765 by checkley77(12569)   on 2009-02-24 09:16:09 (Show Source): You can put this solution on YOUR website!3*35+.24x=3*41+.16x 105+.24x=123+.16x .24x-16x=123-105 .08x=18 x=18/.08 x=225 miles driven would make the 2 rentals the same for the 3 days. Proof: 105+.24*225=123+.16*225 105+54=123+36 159=159
 Expressions-with-variables/183533: Find the product. 5(a+3)= 1 solutions Answer 137764 by checkley77(12569)   on 2009-02-24 09:10:57 (Show Source): You can put this solution on YOUR website!5(a+3)=5a+15 ans.
 Graphs/183328: 5. Graph the following equations; calculate the slope, x-intercept, and y-intercept, and label the intercepts on the graph. 2x + 3y = 9 I really need to see this in progress. thanks.1 solutions Answer 137690 by checkley77(12569)   on 2009-02-23 15:24:35 (Show Source): You can put this solution on YOUR website!2x + 3y = 9 3y=-2x+9 y=-2x/3+9/3 y=-2x/3+3 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -2x/3 +3). ------------------------------------------------ slope=-2/3 y intercept=3 (0,3) 0=-2x/3+3 2x/3=3 2x=9 x=9/2 x=4.5 is the x intercept. (4.5,0)
 Exponential-and-logarithmic-functions/183354: Write an exponential function for a graph that includes the given points. (0, 0.5), (1, 3) (–1, 5), (0.5, 40) 1 solutions Answer 137689 by checkley77(12569)   on 2009-02-23 15:16:09 (Show Source): You can put this solution on YOUR website!Y=mX+b m=slope & b= y intercept. (0, 0.5), (1, 3) slope=(y2-y1)/(x2-x1) slope=(3-.5)/(1-0) slope=2.5/1=2.5 .5=2.5*0+b .5=b Y=2.5X+.5 (red line) is the line equation through these 2 points. -------------------------------------- (–1, 5), (0.5, 40) slope=(40-5)/(.5+1) slope=(35/1.5 slope=7/.3 5=7/.3*-1+b 5=-7/.3+b 5+7/.3=b b=(5*.3+7)/.3 b=(1.5+7)/.3 b=8.5/.3 Y=7X/.3+8.5/.3 (green line) (graph 300x200 from -6 to 5, y from -10 to 10, of TWO functions 2.5x +.5 and 7x/.3 +8.5/.3 ).
 Graphs/183379: Amy paid \$86.08 for a pair of running shoes during a 25% off sale. What was the regular price? (round to nearest cent, if necessary)1 solutions Answer 137686 by checkley77(12569)   on 2009-02-23 14:58:19 (Show Source): You can put this solution on YOUR website!X-.25X=86.08 .75X=86.08 X=86.08/.75 X=\$114.77 WAS THE ORIGINAL PRICE.
 Travel_Word_Problems/183381: Two snowmobiles, 180km apart, head towards one another in the trail. One of them averages 50km/hr and the other averages 70km/hr. In how many hours will they meet? I have been trying to get this word problem, but I just can't understand it! It is driving me crazy, could you please help me?1 solutions Answer 137684 by checkley77(12569)   on 2009-02-23 14:54:13 (Show Source): You can put this solution on YOUR website!50T+70T=180 120T=180 T=180/120 T=1.5 HOURS THEY WILL MEET. PROOF 50*1.5+70*1.5=180 75+105=180 180=180
 Graphs/183382: On three consecutive passes, a football team gains 9 yards, loses 10 yards, and gains 24 yards.What number represents the total net yardage? The total net yardage is ___ yards.1 solutions Answer 137683 by checkley77(12569)   on 2009-02-23 14:51:14 (Show Source): You can put this solution on YOUR website!9-10+24=33-10=23 YDS. ANS.
 Numbers_Word_Problems/183383: Three consecutive numbers have a sum of 132. Find the number. This question seems like it should be so easy but, it isn't! Could you please help me?1 solutions Answer 137682 by checkley77(12569)   on 2009-02-23 14:49:07 (Show Source): You can put this solution on YOUR website!X+(X+1)+(X+2)=132 3X+3=132 3X=132-3 3X=129 X=129/3 X=43 ANS. FOR THE FIRST NUMBER. 43+1=44 ANS. FOR THE SECOND NUMBER. 43+2=45 ANS. FOR THE LARGEST NUMBER. PROOF: 43+44+45=132 132=132
 Linear_Equations_And_Systems_Word_Problems/183098: A boat traveled 210 miles downstream and back. The trip downstream too 10 hours. The trip back took 70 hours. What is the speed of the boat in still water? What is the speed of the current?1 solutions Answer 137516 by checkley77(12569)   on 2009-02-22 10:19:09 (Show Source): You can put this solution on YOUR website!210/10=21 mph is the speed downstream 210/70=3 mph is the speed upstream. (21+3)/2=24/2=12 mph is the current speed. Proof: 21-12=9 mph is the boat speed in still water. 12-9=3 mph ditto.
 Square-cubic-other-roots/183100: This question is from textbook Algebra 2 find the difference:(6x^4-2x^2+3x)-(4x^4+7x^3-2x^2+3)1 solutions Answer 137515 by checkley77(12569)   on 2009-02-22 10:09:37 (Show Source): You can put this solution on YOUR website!(6x^4-2x^2+3x)-(4x^4+7x^3-2x^2+3) 6x^4-4x^4-7x^3-2x^2+2x^2+3x-3 2x^4-7x^3+3x-3 ans.
 Numeric_Fractions/183123: Can someone help me explain this in words. Use pizza as an example for explaining how and why you must get a common denominator before adding the fractions 1/2 and 1/3.1 solutions Answer 137514 by checkley77(12569)   on 2009-02-22 10:03:00 (Show Source): You can put this solution on YOUR website!1/2 of a pizza is the same as 3/6 of a pizza 1/3 of a pizza is the same as 2/6 of a pizza. Now if you add these two partial pizzas you'll get 3/6+2/6=5/6 of a pizza. Perchance you try to add/multiply 1/2 & 1/3 you could get 2/5, 2/6 or 1/6 depending on if you multiply or add.
 Linear-equations/182988: The perimeter of a rectangle is 114 m. The length is 6 m more than twice the width. Find the dimensions. What is the length? 31.5 m (simplify your answer) What is the width? 25.5 m (simplify your answer)1 solutions Answer 137439 by checkley77(12569)   on 2009-02-21 18:03:12 (Show Source): You can put this solution on YOUR website!L=W+6 PERIMETER=2L+2W 114=2(W+6)+2W 114=2W+12+2W 114=4W+12 114-12=4W 102=4W 102/4=W 25.5=W FOR THE WIDTH L=25.5+6=31.5 FOR THE LENGTH. PROOF: 2*25.5=2*31.5=114 51+63=114 114=114
 percentage/182996: 7. A woman buys three pairs of jeans for \$99.84, including tax. If each pair of jeans cost \$32, what was the sales tax rate?1 solutions Answer 137438 by checkley77(12569)   on 2009-02-21 17:57:31 (Show Source): You can put this solution on YOUR website!3*32=94 PRICE BEFORE TAXATION. 99.84-94=5.84 AMOUNT OF THE ADDED TAX. 5.84/94=.0621276 OR 6.21% IS THE ADDED TAX RATE.
 Equations/182999: 10. Tom's uncle owns a triangular piece of land. The perimeter fence that surrounds the land measures 378 yards. The shortest side is 30 yards longer than one-half of the longest side. The second longest side is 2 yards shorter than the longest side. What is the length of each side?1 solutions Answer 137437 by checkley77(12569)   on 2009-02-21 17:51:02 (Show Source): You can put this solution on YOUR website!S=30+L/2 M=L-2 S+M+L=378 (30+L/2)+(L-2)+L=378 30+L/2+L-2+L=378 L/2+2L=378-30+2 2.5L=350 L=350/2.5 L=140 YDS. FOR THE LONG SIDE S=30+140/2 S=3+70 S=100 YDS. FOR THE SHORT SIDE. M=140-2 M=138 YDS. FOR THE MIDDLE SIDE. PROOF: 140+138+100=378 378=378
 Square-cubic-other-roots/183054: Find the Sum: (3x^2-2x^3+x)+(x^5+2x^3-3x)1 solutions Answer 137435 by checkley77(12569)   on 2009-02-21 17:41:03 (Show Source): You can put this solution on YOUR website!(3x^2-2x^3+x) (x^5+2x^3-3x) -------------------- x^5+2x^3-2x^3+3x^2-3x+x x^5+3x^2-2x x(x^4+3x-2) ans.
 Square-cubic-other-roots/183056: This question is from textbook Algebra 2 find the difference: (6x^-2x^2+3x)-(4x^4+7x^3-2x^2+3)1 solutions Answer 137434 by checkley77(12569)   on 2009-02-21 17:37:42 (Show Source): You can put this solution on YOUR website!(6x^4-2x^2+3x)-(4x^4+7x^3-2x^2+3) 6x^4-4x^4-7x^3-2x^2+2x^2+3x-3 2x^4-7x^3+3x-3 ans.
 Square-cubic-other-roots/183057: This question is from textbook Algebra 2 find the product: (2y^3-3y^2-3y)(4y+7)1 solutions Answer 137433 by checkley77(12569)   on 2009-02-21 17:35:45 (Show Source): You can put this solution on YOUR website!(2y^3-3y^2-3y) (4y+7) ------------------- 8y^4-12y^3-12y^2+14y^3-21y^2-21y 8y^4+2y^3-33y^2-21y y(8y^3+2y^2-33y-21) ans.