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# Recent problems solved by 'checkley77'

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 absolute-value/338226: |5n+6|+7=51 solutions Answer 242466 by checkley77(12569)   on 2010-09-02 16:26:07 (Show Source): You can put this solution on YOUR website!|5n+6|+7=5 5N+6=5-7 5N+6=-2 5N=-2-6 5N=-8 N=-8/5 ANS. -------------- 5N+6=2 5N=2-6 5N=-4 N=-4/5 ANS.
 Triangles/338233: Two angles of a triangle measure 18 and 62 degrees. What is the measure of the third angle?1 solutions Answer 242454 by checkley77(12569)   on 2010-09-02 15:27:20 (Show Source): You can put this solution on YOUR website!18+62+X=180 X=180-18-62 X=180-80 X=100 DEGREES ANS.
 Linear-equations/338235: 5/2x-2y=3 Help me solve1 solutions Answer 242453 by checkley77(12569)   on 2010-09-02 15:25:11 (Show Source): You can put this solution on YOUR website!5/2x-2y=3 -2Y=-5X/2+3 Y=-2.5X/2+3/-2 Y=-1.25X-1.5 ANS. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -1.25x -1.5 )
 Miscellaneous_Word_Problems/338236: The speed of train a is 8 mph slower than the speed of train b. Train a travels 220 miles in the same time it takes train b to travel 260 miles. Find the speed of each train1 solutions Answer 242452 by checkley77(12569)   on 2010-09-02 15:22:00 (Show Source): You can put this solution on YOUR website!D=RT T=D/R T=220/(X-8) T=260/X 220/(X-8)=260/X CROSS MULTIPLY. 260(X-8)=220X 260X-2,080=220X 260X-220X=2,080 40X=2.080 X=2,080/40 X=52 MPH. FOR THE FASTER TRAIN. 52-8=44 MPH. FOR THE SLOWER TRAIN. pROOF: 220/44=260/52 5=5
 Miscellaneous_Word_Problems/338238: two sides of a triangle have the same length. The third side measures 2m less than twice the common length. The perimeter of the triangle is 14m. what are the lengths of all three sides?1 solutions Answer 242449 by checkley77(12569)   on 2010-09-02 15:15:54 (Show Source): You can put this solution on YOUR website!x+x+2x-2=14 4x=14+2 4x=16 x=16/4 x=4 ans. for the 2 equal sides. Proof: 4+4+2*4-2=14 4+4+8-2=14 14=14
 Percentage-and-ratio-word-problems/338239: I'm sure i can figure this out if you can just tell me how to translate this into a mathematical equation: three-fourths of the students in Math 200 recieved a grade of C on their test, and one-fifth recieved an A. if twenty-two more students recieved C's than recieved A's, how many students are in the class? Thanks! 1 solutions Answer 242448 by checkley77(12569)   on 2010-09-02 15:12:45 (Show Source): You can put this solution on YOUR website!3/4x=1/5x+22 3x/4-x/5=22 (3x*5-x*4)/4*5=22 (15x-4x)/20=22 cross multiply. 11x=20*22 11x=440 x=440/11 x=40 ans. for the number of students. Proof: 3/4*40=1/5*40+22 120/4=40/5+22 30=8+22 30=30
 Numbers_Word_Problems/338237: One Number is five times larger than another. the difference of the numbers is 96. find the numbers.1 solutions Answer 242443 by checkley77(12569)   on 2010-09-02 14:45:17 (Show Source): You can put this solution on YOUR website!x=5y x-y=96 5y-y=96 4y=96 y=96/4 y=24 ans. x=5*24 x=120 ans. 120-24=96 96=96
 Mixture_Word_Problems/338141: one solution is 20% acid and another is 12%. How many cubic centimeters of each solution should be mixed to obtain 100 cubic centimeters of a solution that is 15% acid.1 solutions Answer 242391 by checkley77(12569)   on 2010-09-02 10:50:28 (Show Source): You can put this solution on YOUR website!.20x+.12(100-x)=.15*100 .20x+12-.12x=15 .08x=15-12 .08x=3 x=3/.08 x=37.5 cm^3 of 20% solution is used. 100-37.5=62.5 cm^3 of 12% solution is used. Proof: .20*37.5+.12*62.5=.15*100 7.5+7.5=15 15=15
 Problems-with-consecutive-odd-even-integers/338144: The product of two positive consecutive integers is 41 more than their sum. Find the integers.1 solutions Answer 242390 by checkley77(12569)   on 2010-09-02 10:45:59 (Show Source): You can put this solution on YOUR website!Let x & x+1 be the 2 integers. 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)=0 x-7=0 x=7 ans. for the smaller integer. 7=1=8 ans. for the larger integer. Proof: 7*8=7+8+41 56=56
 absolute-value/338148: Please assist me in trying to solve each system by the addition method. 3x + 2y = 3 4x 3y = -13 Thank you!1 solutions Answer 242389 by checkley77(12569)   on 2010-09-02 10:40:48 (Show Source): You can put this solution on YOUR website! 3x + 2y = 3 4x 3y = -13 IS THERE A = OR A - SIGN BETWEEN THE 4X & THE 3Y TERMS?
 Linear_Equations_And_Systems_Word_Problems/338152: Can you show how to get answer to this word problem please An aircraft 200 kilometers away is flying toward an air base at 350 kilometers per hour. How long will it take a plane flying from the base at 450 kilometers per hour to intercept the first aircraft?1 solutions Answer 242388 by checkley77(12569)   on 2010-09-02 10:38:53 (Show Source): You can put this solution on YOUR website!D=RT 200=(350+450)T 200=800T T=200/800 T=2/8=1/4 THEY WILL MEET IN 15 MINUTES.
 Linear_Algebra/338153: 8-2x + 6 = 4x - 101 solutions Answer 242387 by checkley77(12569)   on 2010-09-02 10:34:59 (Show Source): You can put this solution on YOUR website!8-2x + 6 = 4x - 10 -2x-4x=-10-8-6 -6x=-24 x=-24/-6=4 ans. Proof: 8-2*4+6=4*4-10 8-8+6=16-10 6=6
 Polynomials-and-rational-expressions/337882: Use the Foil method to find the product. (5x^8-5)(x^9-4)1 solutions Answer 242272 by checkley77(12569)   on 2010-09-01 20:29:51 (Show Source): You can put this solution on YOUR website!(5x^8-5)(x^9-4) 5X^17-20X^8-5X^9+20 ANS.
 Travel_Word_Problems/337886: a train pulls cargo 140 miles and then a second one pulls it another 200 miles going 5 miles faster than the first together they take 9 hours how fast are they going1 solutions Answer 242271 by checkley77(12569)   on 2010-09-01 20:27:12 (Show Source): You can put this solution on YOUR website!D=RT T=D/R 9=140/X+200/(X+5) 9=((140)+200*X)/X(X+5) 9=(140X+700+200X)/(X^2+5X) 9=(340X+700)/(X^2+5X) CROSS MULTIPLY. 9(X^2+5X)=340X+700=0 9X^2+45X-340X-700=0 9X^2-295X-700=0 (9X+20)(X-35)=0 X-35=0 X=35 MPH FOR THE SLOWER TRAIN. 35+5=40 MPH FOR THE FASTER TRAIN. PROOF: 9=140/35+200/40 9=4+5 9=9
 Complex_Numbers/337888: whats the answer to the square root of -25 divided by square root of -501 solutions Answer 242265 by checkley77(12569)   on 2010-09-01 20:13:54 (Show Source): You can put this solution on YOUR website!SQRT-25/SQRT-50 5i/5i*SQRT2 1/SQRT2 ans.
 Surface-area/337899: A painting canvas has a length of 6 inches longer than its width. If the area is 91 inches, what are the dimensions of the canvas? 1 solutions Answer 242263 by checkley77(12569)   on 2010-09-01 20:03:41 (Show Source): You can put this solution on YOUR website!L=W+6 A=LW 91=(W+6)W 91=W^2+6W W^2+6W-91=0 (W+13)(W-7)=0 W-7=0 W=7 ANS FOR THE WIDTH. L=7+6=13 ANS. FOR THE LENGTH. PROOF: 91=13*7 91=91
 Mixture_Word_Problems/337901: Cashews sell for \$5 per pund and peanuts sell for \$2 per pound. How many pounds of each would you use to make 25 pounds of a mixture that sells for \$92?1 solutions Answer 242262 by checkley77(12569)   on 2010-09-01 19:58:27 (Show Source): You can put this solution on YOUR website!5x+2(25-x)=92 5x+50-2x=92 3x=92-50 3x=42 x=42/3 x=14 pounds of Cashews is used. 25-14=11 pounds of peanuts are used. Proof: 5*14+2*11=92 70+22=92 92=92
 Number-Line/337902: Why do you get a larger negative number when you subract a positive number from a negative number?(ie -18 - 17= -35)1 solutions Answer 242260 by checkley77(12569)   on 2010-09-01 19:49:46 (Show Source): You can put this solution on YOUR website!(-18 - 17= -35) Sorry but the scaling doesn't hold when I send the solution but try to get the idea of a negative numbered line. -35 -30 -25 -20 -15 -10 -5 0 +3 |-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-|-| * * (-35)------------ -18 ------------- (-17) ----------- -17 --------------- Starting from zero & going to the left on a numbered line 17 unite, you are at (-17). Going another 18 units to the left, you are at (-35). -17+(-18)=-35 17-18=-35
 Inequalities/337903: what is the answer to the inequality 18-4k<2(k+21)1 solutions Answer 242254 by checkley77(12569)   on 2010-09-01 19:30:30 (Show Source): You can put this solution on YOUR website!18-4k<2(k+21) 18-4k<2k+42 -4k-2k<42-18 -6k<24 k>24/-6 (note the sign change when dividing by a negative value( k>-4 ans Proof: Let k=-3.9 16-4*-3.9<2(-3.9+21) 16+15.6<2(17.1) 31.6<34.1
 Linear-equations/337905: Write the equation of the line that is parallel to the x-axis, passing through the point (5, -2)1 solutions Answer 242252 by checkley77(12569)   on 2010-09-01 19:24:53 (Show Source): You can put this solution on YOUR website!Because the line is parallel to the x axis the slope (m)=0. Thus there is no x value in the equation & the y intercept is (0,-2) y=-2 (graph 300x200 pixels, x from -6 to 6, y from -10 to 10, y = -2).
 Trigonometry-basics/337906: 6c+5d-4c-3d+3c-6d when c=4 and d=(-2) 10a+3b-5a+4b+1a+5b when a=(-3) and b=5 3m+9n+6m-7n-4m+2n when m=6 and n=(-4) 1 solutions Answer 242250 by checkley77(12569)   on 2010-09-01 19:21:01 (Show Source): You can put this solution on YOUR website!6c+5d-4c-3d+3c-6d when c=4 and d=(-2) 6*4+5*-2-4*4-3*-2+3*4-6*-2 24-10-16+6+12+12 54-26=28 ans. ----------------------------- 10a+3b-5a+4b+1a+5b when a=(-3) and b=5 10*-3+3*5-5*-3+4*5+1*-3+5*5 -30+15+15+20-3+25 75-33=42 ans. ------------------------------ I'll leave this last one for you to practice with. Just substitute 6 for m & -4 for n. Multiply then add & subtract. ------------------------------ 3m+9n+6m-7n-4m+2n when m=6 and n=(-4)
 Equations/337907: tom counted a total of 76 bicyles and tricycles , for a total of 227 wheels. how many tricyles are there.1 solutions Answer 242249 by checkley77(12569)   on 2010-09-01 19:06:50 (Show Source): You can put this solution on YOUR website!2x+3y=227 x+y=76 multiply by -2 & add -2x-2y=-152 2x+3y=227 ------------------- y=75 tricycles. x+75=76 x=76-75 x=1 bicycle. Proof: 2*1+3*75=227 2+225=227 227=227
 Inequalities/337904: what is the answer to the inequality 3(9z+4)>35z-41 solutions Answer 242248 by checkley77(12569)   on 2010-09-01 19:02:55 (Show Source): You can put this solution on YOUR website!3(9z+4)>35z-4 27z+12>35z-4 27z-35z>-4-12 -8z>-16 z<-16/-8 (note the sign change when dividing by a negative value) z<2 ans. Proof: Let z=1.9 3(9*1.9+4)>35*1.9-4 3(17.1+4)>66.5-4 3*21.1>62.5 63.3>62.5
 Linear-equations/337298: Please help me solve this equation to graph it: 1 solutions Answer 241824 by checkley77(12569)   on 2010-08-31 18:54:46 (Show Source): You can put this solution on YOUR website!y=x^2-4 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x^2 -4).
 Expressions-with-variables/337307: Write an algebraic expression for the sum of a number h and 88 minus 41 solutions Answer 241817 by checkley77(12569)   on 2010-08-31 18:27:58 (Show Source): You can put this solution on YOUR website!h+88-4 ans.
 Distributive-associative-commutative-properties/337309: I need help on finding the value of n in this equation: n divided by -1.28= 4.961 solutions Answer 241816 by checkley77(12569)   on 2010-08-31 18:26:43 (Show Source): You can put this solution on YOUR website!n/-1.28= 4.96 cross multiply n=-1.28*4.96 n=-6.3488 ans.
 Radicals/337312: How would your write sqrt(3x) in exponential form?1 solutions Answer 241810 by checkley77(12569)   on 2010-08-31 18:09:04 (Show Source): You can put this solution on YOUR website!sqrt(3x)=(3x)^1/2
 Linear-equations/337313: I have no clue how to solve 3t/4-t/2=1 can you help me?1 solutions Answer 241808 by checkley77(12569)   on 2010-08-31 18:06:09 (Show Source): You can put this solution on YOUR website!3t/4-t/2=1 the common denominator is 4. (3t-2t)/4=1 cross multiply 3t-2t=4*1 t=4 ans. Proof: 3*4/4-4/2=1 12/4-2=1 3-2=1 1=1
 Polynomials-and-rational-expressions/337315: The question is subtract: (-5a + 7b -c)- (-66 + 5c - 8d) This is what I came up with, (-5a + 7b -c) + (66 - 5c + 8d) -5a + 7b - 6c + 66 + 8d 1 solutions Answer 241807 by checkley77(12569)   on 2010-08-31 17:59:28 (Show Source): You can put this solution on YOUR website!(-5a + 7b -c)- (-66 + 5c - 8d) -5a+7b-c+66-5c+8d -5a+7b-6c+8d+66 ans.
 Percentage-and-ratio-word-problems/337317: On a map of the U.S., the cities of Milwaukee, and Charlotte, are 6 1/2 inches apart. The actual distance betwee Milwaukee and Charlotte is 670 miles. If Birmingham, Alabama and St. Petesburg, Florida are 465 miles apart, how far apart are they on the map?1 solutions Answer 241805 by checkley77(12569)   on 2010-08-31 17:53:05 (Show Source): You can put this solution on YOUR website!6.5/670=x/465 670x=465*6.5 670x=3,022.5 x=3,022.5/670 x=4.51 inches ans.
 Polynomials-and-rational-expressions/337318: The question is multiply: (x^8 + 7x) (x^8 - 7x) Here's what I got. x^8(x^8) + x^8(-7x) + 7x(x^8) + 7x(-7x)= (x^16 - 49x^2 Is this right?1 solutions Answer 241801 by checkley77(12569)   on 2010-08-31 17:47:47 (Show Source): You can put this solution on YOUR website!(x^8 + 7x) (x^8 - 7x) Here's what I got. x^8(x^8) + x^8(-7x) + 7x(x^8) + 7x(-7x)= (x^16 - 49x^2 Is this right? YES! Good work.