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checkley71 answered: 8399 problems
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Linear_Equations_And_Systems_Word_Problems/125692: This question is from textbook Hello, I am having a problem solving word problems. Here is the problem: A car rental agency advertised renting a luxury, full size car for $24.95 per day and $0.49 per mile. If you rent this car for five days, how many whole miles can you drive if you only have $200.00 to spend. I am given several answers to choose from, but I don't know how to set the problem up to solve it. Thanks in advance for your help. Sharon 1 solutions Answer 92052 by checkley71(8403)   on 2008-02-08 11:06:12 (Show Source): You can put this solution on YOUR website! 24.95*5+.49x=200 124.75+.49x=200 .49x=200-124.95 .49x=75.25 x=75.25/.49 153 miles can be driven for < $200. proof 24.95*5+.49x<200 124.75+.49*153<200 124.75+74.97<200 199.72<200

Proportions/125579: This question is from textbook kens new car can go 26 miles per gallon of gasoline. the cars gasoline tank holds 14 gallons. how far will he be able to go on a full tank. 1 solutions Answer 92002 by checkley71(8403)   on 2008-02-07 19:49:31 (Show Source): You can put this solution on YOUR website! 14*26=364 MILES IS THE ANSWER.

Graphs/125568: Solve the system of equations by graphing. y= x+2 y= -2x+5 1 solutions Answer 92001 by checkley71(8403)   on 2008-02-07 19:48:01 (Show Source): You can put this solution on YOUR website! y=x+2 (red line) y=-2x+5 (green line) ANSWER IS (1,3) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = x +2 and y = -2x +5).

Functions/125577: substitution x+2y=13 3x-5y=6 1 solutions Answer 91998 by checkley71(8403)   on 2008-02-07 19:43:57 (Show Source): You can put this solution on YOUR website! X+2Y=13 OR X=13-2Y 3(13-2Y)-5Y=6 39-6Y-5Y=6 -11Y=6-39 -11Y=-33 Y=-33/-11 Y=3 ANSWER. X=13-2*3 X=13-6 X=77 ANSWER. PROOF 7+2*3=13 7+6=13 13=13

Linear_Equations_And_Systems_Word_Problems/125539: Andrew invested some of his money at 7.5% and $350 less at 8%. His total interest income is $437. How much did Andrew invest at 7.5%? 1 solutions Answer 91973 by checkley71(8403)   on 2008-02-07 17:47:55 (Show Source): You can put this solution on YOUR website! .075X+.08(X-350)=437 .075X+.08X-28=437 .155X=437+28 .155X=465 X=465/.155 X=$3,000 INVESTED @ 7.5$ PROOF .075*3000+.08(3000-350)=437 225+.08*2650)=437 225+212=437 437=437

Equations/125538: what is the x & y intercept of y = 3x + 5 1 solutions Answer 91972 by checkley71(8403)   on 2008-02-07 17:43:22 (Show Source): You can put this solution on YOUR website! SET X=0 & SOLVE FOR Y Y=3*0+5 Y=5 ANSWER. (0,5). NOW SET Y=0 & SOLVE FOR X. 0=3X+5 3X=-5 X=-5/3 ANSWER. (-5/3,0).

Rectangles/125522: solve for m 8/52=m/39 1 solutions Answer 91969 by checkley71(8403)   on 2008-02-07 17:20:31 (Show Source): You can put this solution on YOUR website! 8/52=m/39 cross multiply. 52m=8*39 52m=312 m=312/52 m=6 answer.

Functions/125525: not really sure what it is called please help 2x/3+15=17 1 solutions Answer 91968 by checkley71(8403)   on 2008-02-07 17:17:15 (Show Source): You can put this solution on YOUR website! 2x/3+15=17 2x/3=17-15 2x/3=2 cross multiply. 2x=6 x=6/2 x=3 answer. proof 2*3/3+15=17 2+15=17 17=17

Surface-area/125521: what is the formula to find the surface area of a cube? 1 solutions Answer 91965 by checkley71(8403)   on 2008-02-07 16:59:17 (Show Source): You can put this solution on YOUR website! SURFACE AREA OF A CUBE=6X^2 WHERE X IS THE LENGTH OF THE SIDE.

Linear_Equations_And_Systems_Word_Problems/125448: A 36 foot pipe is divided into three peices. One peice is twice as long as the shortest peice and the third peice is 1 foot longer than four times the shortest peice. Find the length of the shortest peice. 1 solutions Answer 91964 by checkley71(8403)   on 2008-02-07 16:56:11 (Show Source): You can put this solution on YOUR website! LET X BE THE SHORTEST PIECE. 2X IS THE NEXT PIECE. 4X+1 IS THE LAST PIECE. X+2X+4X+1=36 7X=36-1 7X=35 X=35/7 X=5 FEET LONG IS THE LENGTH OF THE SHORTEST PIECE.

Miscellaneous_Word_Problems/125484: Two less than one-sixth of a certain number is 1 more than one-fourth that number. What is the number? 1 solutions Answer 91963 by checkley71(8403)   on 2008-02-07 16:51:14 (Show Source): You can put this solution on YOUR website! X/6-2=X/4+1 X/6-X/4=1+2 (2X-3X)/12=3 NOW CROSS MULTIPLY. -X=36 X=-36 ANSWER. PROOF -36/6-2=-36/4+1 -6-2=-9+1 -8=-8

Miscellaneous_Word_Problems/125485: A book publisher pays $74,200.00 to prepare a book for publication. Total costs are $5.50 per book. If the book is sold to bookstores for $19.50 per copy, how many copies must be sold for the publisher to break even? 1 solutions Answer 91962 by checkley71(8403)   on 2008-02-07 16:45:12 (Show Source): You can put this solution on YOUR website! 74,200/(19.50-5.50)=74,200/14=5,300 BOOKS MUST BE SOLD TO BREAK EVEN.

Equations/125499: Write an equation of the line through the given points. 26. (0,2),(3,8) Any help with the given equation would Greatly appreciated. 1 solutions Answer 91961 by checkley71(8403)   on 2008-02-07 16:41:50 (Show Source): You can put this solution on YOUR website! FIRST WE FIND THE SLOPE (Y2-Y1)/X2-X1)=(8-2)/(3-0)=6/3=2 ANSWER FOR THE SLOPE (m). NOW SUBSTITUTE ONE SET OF X,Y COORDINATES & SOLVE FOR THE Y INTERCEPT (b). Y=mX+b 2=2*0+b 2=b ANSWER FOR THE Y INTERCEPT. THUS THE LINE EQUATION IS: Y=2X+2

Radicals/125518: Could you show me how to expand and simplify this expressions to get The problem is 1 solutions Answer 91959 by checkley71(8403)   on 2008-02-07 16:36:53 (Show Source): You can put this solution on YOUR website! BREAKING DOWN THE TERMS TO BE MULTIPLIED WE GET: 2(3SQRT5)=2*3(SQRT5)=6SQRT5 -SQRT2(3SQRT5)=-1*3(SQRT2)(SQRT5)=-3(SQRT10) NOW COMBINE THE 2 TERMS. 6SQRT5-3SQRT10 ------------------------------------- 3sqrt5 2-sqrt2 ------------------------- 6sqrt5-3sqrt10 answer.

Equations/125491: You deposit $1200 into a savings account that earns 3% interest compounded anually. Find the balance of the account after 2 years. 1 solutions Answer 91957 by checkley71(8403)   on 2008-02-07 16:33:29 (Show Source): You can put this solution on YOUR website! p(1+r)^t where p=the principle r=annual rate & t=number of years. 1200(1+.03)^2 1200(1.03)^2 1200*1.0609=$1,273 is the amount after 2 years.

Linear-equations/125517: This question is from textbook Fundamentals of Algebric Modeling find the slope of the line with the equation 3x - 2y =1 1 solutions Answer 91954 by checkley71(8403)   on 2008-02-07 16:21:02 (Show Source): You can put this solution on YOUR website! 3x-2y=1 -2y=-3x+1 y=-3x/-2+1/-2 y=3x/2-1/2 thus the slope=3/2.

Equations/125501: Write an equation of the line through the given points. (2, -4),(0, -3) Any help with the given equation would Greatly appreciated. 1 solutions Answer 91953 by checkley71(8403)   on 2008-02-07 16:17:11 (Show Source): You can put this solution on YOUR website! Find the slope (y2-y1)/(x2-x1)=(-3+4)/(0-2)=1/-2=-1/2 Answer for the slope. -3=-1/2*0+b -3=0+b b=-3 thus the equation is: y=-x/2-3 answer.

Rectangles/125514: The length of a rectangle is 7/8 yd, and its width is 32/49 yd. What is its area in square yards? 1 solutions Answer 91951 by checkley71(8403)   on 2008-02-07 16:12:51 (Show Source): You can put this solution on YOUR website! 7/8*32/49=(7*32)/(8*49)=224/392=.57 yd^2 answer.

Quadratic_Equations/125500: 3x^ -4x - 5 =0 use the quadratic formula 1 solutions Answer 91950 by checkley71(8403)   on 2008-02-07 16:09:17 (Show Source): You can put this solution on YOUR website! 3x^2-4x-5=0 x=(4+-sqrt[-4*2*-4*3-5])/2*3 x=(4+-sqrt[16+60])/6 x=(4+-sqrt76)/6 x=(4+-8.718)/6 x=(4+8.718)/6 x=12.718/6 x=2.1196 answer. x=(4-8.718)/6 x=-4.718/6 x=-.786 answer.

Equations/125505: Write an equation of the line through the given points. (1,5),(0,6) Any help with the given equation would Greatly appreciated. 1 solutions Answer 91949 by checkley71(8403)   on 2008-02-07 15:58:44 (Show Source): You can put this solution on YOUR website! FIRST WE FIND THE SLOPE (Y2-Y1)/(X2-X1) (6-5)/(0-1)=1/-1=-1 IS THE SLOPE OF THIS LINE. NOW REPLACE X & Y IN THE LINE EQUATION BY ONE SET OF COORDINATES & SOLVE FOR THE Y INTERCEPT(b). 6=-1*0+b 6=b SO WE HAVE THE LINE EQUATION Y=-X+6 (graph 300x200 pixels, x from -6 to 6, y from -10 to 10, y = -x +6).

Linear_Equations_And_Systems_Word_Problems/125507: Leah makes $24 per hour for a 40 hour work week and time and a half for every hour over 40 hours. If she made $1140 last week, how many overtime hours did she work? 1 solutions Answer 91948 by checkley71(8403)   on 2008-02-07 15:54:00 (Show Source): You can put this solution on YOUR website! 1140-(40*24)=1140-960=180 which is the amount of her overtime gours. 180/(24*1.5)=180/36=5 hours is the amount of overtime hours she worked.

Linear-equations/125509: Solve the system by addition -5x+2y=10 x-3y=11 Solve by substitution 2x+2y=0 y=4x+0 1 solutions Answer 91945 by checkley71(8403)   on 2008-02-07 15:49:32 (Show Source): You can put this solution on YOUR website! -5x+2y=10 now multiply the other equation by 5 & add. 5x-15y=55 ------------------------ -13x=65 x=65/-13 x=-5 answer. --------------------------- y=4x+0 replace y in the other equation & solve for x. 2x+2(4x-0)=0 2x+8x-0=0 10x=0 x=0 answer. y=4*0+0 y=0 answer.

Graphs/125466: This question is from textbook Structure and Method Book 1 -2x+3y=4 1 solutions Answer 91908 by checkley71(8403)   on 2008-02-07 11:31:10 (Show Source): You can put this solution on YOUR website! -2X+3Y=4 3Y=2X+4 Y=2X/3+4/3 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 2x +4/3).

Human-and-algebraic-language/125459: Good afternoon, does anyone know how to solve these two parts? Can you please provide the steps for clarification!! Thanks a bunch!! A) If , fill in the following table for x = 0, 1, 2, 3, 4. Round to three decimal places where necessary. X-----Y 0 1 2 3 4 B) Explain why no negative values are chosen as values to substitute in for x. 1 solutions Answer 91902 by checkley71(8403)   on 2008-02-07 11:10:19 (Show Source): You can put this solution on YOUR website! y=sqrt(x+2)I'LL ASSUME YOU MEAN (X+2) UNDER THE SQRT. Y=SQRT(0+2)=SQRT2=1.414 Y=SQRT(1+2)=SQRT3=1.732 Y=SQRT(2+2)=SQRT4=2 Y=SQRT(3+2)=SQRT5=2.236 Y=SQRT(4=2)=SQRT6=2.449 NO GOOD REASON FOR NOT INCLUDING NEGATIVE NUMBERS. EXAMPLE: Y=SQRT(-4+2)=SQRT(-2)=1.414i

Linear-systems/125294: which two equations represent parallel lines y=2/3x+2 y=- 3/2x -5 y=9x+7 y=9x-2 1 solutions Answer 91841 by checkley71(8403)   on 2008-02-06 17:40:58 (Show Source): You can put this solution on YOUR website! Parallel lines have equal slopes (m). Thus the 3rd. & 4th. equations are parallel with a slope=9.

Linear-systems/125295: write the equation of the line passing through (-3 ,-5) and (3,0) 1 solutions Answer 91840 by checkley71(8403)   on 2008-02-06 17:37:26 (Show Source): You can put this solution on YOUR website! FIRST WE FIND THE SLOPE (Y2-Y1)/(X2-X1) (0+5)/(3+3)=5/6 IS THE SLOPE (m) IN THE EQUATION Y=mX+b. 0=5/6*3+b 0=15/6+b b=-15/6 THUS THE LINE EQUATION IS: Y=5X/6-15/6 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 5x/6 -15/6).

Expressions-with-variables/125300: I need you to solve each system by using substitution. 6. y= -3x - 6 y= x-4 7. y= 5x + 8 y= -10x + 3 8.y= -4x - 8 y= 1/4x + 4 9.y= 6x - 4 y= -2x + 28 10. y= 2/5x - 3 y= 2x - 18 11. y= x - 2 2x + 2y =4 12.y= 3x - 27 y= 4x + 10y = 120 13.y= 3x - 6y =30 -y= -6x +34 1 solutions Answer 91839 by checkley71(8403)   on 2008-02-06 17:29:56 (Show Source): You can put this solution on YOUR website! Y=-3X-6 Y=X-4 SUBSTITUTE (X-4) FOR Y IN THE FIRST EQUATION X-4=-3X-6 4X+3X=-6+4 7X=-2 X=-2/7 ANSWER. Y=-2/7-4 Y=(-2-4*7)/7 Y=(-2-28)/7 Y=-30/7 ANSWER. PROOF -30/7=-3*-2/7-6 -30/7=6/7-6 -30/7=(6-36)/7 -30/7=-30/7

Rectangles/125189: The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle? 1 solutions Answer 91838 by checkley71(8403)   on 2008-02-06 17:23:45 (Show Source): You can put this solution on YOUR website! LET X BE ONE OF THE SIDES. X+1 IS THE OTHER SIGN. X^2+(X+1)^2=4^2 X^2+X^2+2X+1=16 2X^2+2X+1-16 2X^2+2X-15=0 USING THE QUADRATIC EQUATION: X=(-2+-SQRT[2^2-4*2*-15])/2*2 X=(-2+-SQRT[4+120 ])/4 X=(-2+-SQRT[124])/4 X=(-2+-11.136)/4 X=(-2+11.136)/4 X=9.136/4 X=2.28 ANSWER. X=(-2-11.138)/4 X=-13.138/4 X=-3.28 ANSWER.

Finance/125192: The demand equation for a certain type of printer is given by D=-200p+35,000 The supply equation is predicted to be S=-p^2+400p-20,000 Find the equilibrium price. 1 solutions Answer 91837 by checkley71(8403)   on 2008-02-06 17:14:45 (Show Source): You can put this solution on YOUR website! -200P+35,000=-P^2+400P-20,000 P^2-400P-200P+35,000+20,000=0 P^2-600P+55,000=0 USING THE QUADRATIC EQUATION WE GET: P=(600+-SQRT[-600^2-4*1*55,000])/2*1 P=(600+-SQRT[360,000-220,000])/2 P=(600+-SQRT140,000)/2 P=(600+-374.166)/2 P=(600+374.166)/2 P=487 ANSWER. P=(600-374.166)/2 P=225.8/2 P=112.9 ANSWER.

Linear-equations/125198: This question is from textbook Fundamentals of Algebric Modeling Is the ordered pair (1,2) a solution of the equation 4x - y = 6? my answer is 2 = 6 (false statement) 1 solutions Answer 91836 by checkley71(8403)   on 2008-02-06 17:05:37 (Show Source): You can put this solution on YOUR website! 4*1-2=6 4-2=6 2=6 (1,2) IS NOT A SOLUTION.

Permutations/125201: A,B& C be three towns. Suppose there are four routes between A & B. Ane five routes between B & C. In how many different ways one can travel from A to C via B? 1 solutions Answer 91835 by checkley71(8403)   on 2008-02-06 17:02:19 (Show Source): You can put this solution on YOUR website! 4*5=20 DIFFERENT WAYS TO GET FROM A TO C VIA B.