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real-numbers/156209: This question is from textbook Prentice Hall Mathematics Algebra 1 Defining a variable, and writing an algebraic equation. What is the total cost of buying several shirts at $12.00 each. Thank you for your help. I don't understand associative properties of addition 1 solutions Answer 115080 by checkley77(12569)   on 2008-09-10 17:42:38 (Show Source): You can put this solution on YOUR website! 12x (where x is the number of shirts bought.)

Exponents-negative-and-fractional/156213: please help my daughter. What is the difference between the following.. 5^3, -5^3, (-5)^3, and finally -(-5)^3. I have never been good with arithmatic, and cannot seem to figure out what is positive, and negative, or how to come to any conclusions here. I know some answers will be +125, but which are negative and why? 1 solutions Answer 115079 by checkley77(12569)   on 2008-09-10 17:41:06 (Show Source): You can put this solution on YOUR website! 5^3 5*5*5=125 -5^3 -(5*5*5)=-125 (-5)^3 -5*-5*-5=-125 -(-5)^3 -(-5*-5*-5*)-(-125)=125

Polynomials-and-rational-expressions/156214: 16-7*2 1 solutions Answer 115078 by checkley77(12569)   on 2008-09-10 17:38:01 (Show Source): You can put this solution on YOUR website! 16-7^2=16-49=-33 answer.

Travel_Word_Problems/156207: Mike and Colin run around a track a 450 meter track in opposite directions. They start at the same point and start at the same time. Mike's speed is 2.0 m/s and Colins speed is 2.5 m/s. How far will colin run when they meet? 1 solutions Answer 115076 by checkley77(12569)   on 2008-09-10 17:36:42 (Show Source): You can put this solution on YOUR website! 450=2t+2.5t 450=4.5t t=450/4.5 t=100 running time 2.5*t=250 meters for Colin. 2*100=200 meters for Mike.

expressions/156210: which is an expression that shows the earning of a telemarketer who worked for 23 hours at a salary of d dollars per hour 1 solutions Answer 115074 by checkley77(12569)   on 2008-09-10 17:32:21 (Show Source): You can put this solution on YOUR website! Salary=23d

Length-and-distance/156211: How do I do the following problem: Use the Pythagorean Theorem to find the distance between each pair of points A(0,0), B(8,6) 1 solutions Answer 115073 by checkley77(12569)   on 2008-09-10 17:31:06 (Show Source): You can put this solution on YOUR website! 6^2+8^2=d^2 36+64=d^2 d^2=100 d=sqrt100 d=10 is the distance from (0,0) to (6,8) y=4x/3 (graph 300x200 pixels, x from -6 to 10, y from -10 to 10, 4x/3).

Linear-equations/156203: how to writ in equation with the given points (2,4) and( 3,5) 1 solutions Answer 115072 by checkley77(12569)   on 2008-09-10 17:15:26 (Show Source): You can put this solution on YOUR website! (2,4) and( 3,5) First we find the slope. slope=(5-4)/(3-2)=1 Y=mX+b 4=1*2+b 4=2+b b=4-2 b=2 the Y intercept. y=x+2 is the line equation with a slope=1, a Y intercept=2 thru (2,4) & (3,5). (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x +2).

Trigonometry-basics/156182: How many sequential values are there in a series whose difference is 3, begins at 2, ends at 14, and whose sum is 40? a. 6 b. 4 c. 13 1 solutions Answer 115071 by checkley77(12569)   on 2008-09-10 17:08:17 (Show Source): You can put this solution on YOUR website! 2+5+8+11+14=40 answer. I count 5 terms.

decimal-numbers/156014: 321.4 divide by .071 and then round to two decimal places 1 solutions Answer 115070 by checkley77(12569)   on 2008-09-10 16:55:17 (Show Source): You can put this solution on YOUR website! 321.4/.071=4,526.76 answer.

Geometry_Word_Problems/156021: the second angle of a triangle is three times the first and the third is 12 degrees less than twice the first. Find the measures of the angles 1 solutions Answer 115069 by checkley77(12569)   on 2008-09-10 16:53:17 (Show Source): You can put this solution on YOUR website! x+3x+(2x-12)=180 6x=180+12 6x=192 x=192/6 x=32 degrees for the first angle. 3*32=96 degrees for the second. 2*32-12=64-12=52 for the third. 32+96+52=180 180=180

Angles/156032: At the begining of the day, the cash register at a coffee shop contains $75. at the of the day it contains 881.25. if the sales tax rate is 7.5%, how much of the total is sale tax? 1 solutions Answer 115068 by checkley77(12569)   on 2008-09-10 16:48:07 (Show Source): You can put this solution on YOUR website! (881.25-75).075=$806.25 sales for the day. x+.075x=806.25 1.075x=806.25 x=806.25/1.075 x=$750 is the amount of sales 806.25-750=$56.25 is the amount of the tax. Proof: 56.25=.075*750 56.25=56.25 750+56.25=$806.25

Linear_Equations_And_Systems_Word_Problems/156068: walt made an extra $5000 last year from a part-time job. He invested part of the money at 9% and the rest at 7%. He made a total of $370 in interest. how much was invested at 7%? 1 solutions Answer 115066 by checkley77(12569)   on 2008-09-10 16:29:34 (Show Source): You can put this solution on YOUR website! .09x+.07(5,000-x)=370 .09x+350-.07x=370 .02x=370-350 .02x=20 x=20/.02 x=$1,000 invested @ 9%. 5,000-100=4,000 invested @ 7% Proof: .09*1,000+.07*4,000=370 90+280=370 370=370

Linear-systems/149204: x+2y=10 4x+5y=31 i need to kno what x and y equal.. I dont understand HOW to do this.. 1 solutions Answer 115063 by checkley77(12569)   on 2008-09-10 16:22:09 (Show Source): You can put this solution on YOUR website! x+2y=10 multiply by -4 & add. 4x+5y=31 -4x-8y=-40 ------------ -3y=-9 y=-9/-3 y=3 answer. x+2*3=10 x+6=10 x=10-6 x=4 answer. ------------------------------------------------------------ Or you could graph these 2 line & decode their intersection. x+2y=10 2y=-x+10 y=-x/2+10/2 y=-x/2+5 (red line). 4x+5y=31 5y=-4x+31 y=-4x/5+31/5 (green line). (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions -x/2 +5 and -4x/5 +31/5). Answer (4,3)

Quadratic_Equations/156043: Write an equation of the line containing the given point and perpendicular to the given line. (6,-2); 7x+6y=5 1 solutions Answer 115062 by checkley77(12569)   on 2008-09-10 16:09:20 (Show Source): You can put this solution on YOUR website! (6,-2); 7x+6y=5 6y=-7x+5 y=-7x/6+5/6 this line has a slope=-7/6. (red line) A perpendicular line has a slope=6/7. -2=6*6/7+b -2=36/7+b b=-2-36/7 b=(-2*7-36)/7 b=(-14-36)/7 b=-50/7 Thus the equation of the perpendicular line through (6,-2)is: y=6x/7-50/7 (green line). (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions -7x/6 +5/6 and 6x/7 -50/7).

Numeric_Fractions/156193: if bob had 4,088 marbles and lost 3/8 of them how much would he have left? 1 solutions Answer 115061 by checkley77(12569)   on 2008-09-10 15:57:06 (Show Source): You can put this solution on YOUR website! Thank you very much but why times it by 5/ 8 could you please show me how you got this trying to learn.... again thanks so very much The reason for the multiplication of 5/8 is because (1-3/8=5/8). If 3/8 are lost then only 5/8 remain & you need to know how many remain so I changed the 3/8 being lost to the 5/8 that remained & did the necessary multiplication below. 4,088*5/8=2,555 marbles are left.

Radicals/156146: sq rt of 47 times x to the 14 1 solutions Answer 115057 by checkley77(12569)   on 2008-09-10 15:50:27 (Show Source): You can put this solution on YOUR website! sqrt(47x^14) 6.8557x^7 OR: sqrt47(x^14) 6.855x^14

Rational-functions/156137: A student opens a mathematics book to two facing pages. The product of the page numbers is 1482. Find the page numbers. First page is _ Second page is _ 1 solutions Answer 114992 by checkley77(12569)   on 2008-09-10 11:27:58 (Show Source): You can put this solution on YOUR website! X(X+1)=1482 X^2+X-1482=0 (X+39)(X-38)= X-38=0 X=38 FOR THE SMALLER INTEGER. 38+1=39 FOR THE SECOND INTEGER. PROOF: 38*39=1482 1482=1482

Distributive-associative-commutative-properties/156095: This question is from textbook Mathematics: Algebra I I need help with a problem. We were told not to convert the fractions into decimal leaving it as a fraction and solving. The problem is as follows: (10/14)d(8-10h). I put the paraenthesis around the fraction 10/14 to separate it out. Thank you for your help 1 solutions Answer 114991 by checkley77(12569)   on 2008-09-10 11:24:13 (Show Source): You can put this solution on YOUR website! (10/14)d(8-10h) (10d/14)(8-10h) [10d(8-10h)]/14 (80d-100dh)/14

Equations/156136: 7x-6 ______ = 5. Please tell me how to work out X. Thanks, Emma xx 10 1 solutions Answer 114988 by checkley77(12569)   on 2008-09-10 11:19:07 (Show Source): You can put this solution on YOUR website! 7x-6 ______ = 5. 10 7x-6=5*10 7x-6=50 7x=50+6 7x=56 x=56/7 x=8 answer. Proof: (7*8-6)/10=5 50/10=5 5=5

Inequalities/155999: 2.1x+45.2=3.2-8.4x 1 solutions Answer 114909 by checkley77(12569)   on 2008-09-09 21:05:20 (Show Source): You can put this solution on YOUR website! 2.1x+45.2=3.2-8.4x 2.1X+8.4X=3.2-45.2 10.5X=-42 X=-42/10.5 X=-4 ANSWER. PROOF: 2.1*-4+45.2=3.2-8.4*-4 -8.4+45.2=3.2+33.6 36.8=36.8

Miscellaneous_Word_Problems/156006: a ticket master sold 480 tickets. the floor tickets were $30 each and upper $24 each. they made $13,200. how many of each ticket did they sell? 1 solutions Answer 114907 by checkley77(12569)   on 2008-09-09 21:01:16 (Show Source): You can put this solution on YOUR website! X+Y=480 X=480-Y 30X+24Y=13,200 30(480-Y)+24Y=13,200 14,400-30Y+24Y=13,200 -6Y=13,200-14,400 -6Y=-1,200 Y=-1,200/-6 Y=200 24 DOLLAR TICKETS SOLD. 480-200=280 30 DOLLAR TICKETS SOLD. PROOF; 30*280+24*200=13,200 8,400+4,800=13,200 13,200=13,200

Word_Problems_With_Coins/156004: Express the given quantity in terms of the indicated variable. The value (in cents) of the change in a purse that contains twice as many nickels as pennies, eight more dimes than nickels, and as many quarters as dimes and nickels combined; p = number of pennies What I tried: n=nickels, d=dimes, q=quarters n=2p; d=2p+8; q=2p+(2p+8) p+2p+(2p+8)+[2p+(2p+8)] 9p+16=wrong answer :( 1 solutions Answer 114905 by checkley77(12569)   on 2008-09-09 20:56:02 (Show Source): You can put this solution on YOUR website! n=2p; d=2p+8; q=2p+(2p+8) p+2p+(2p+8)+[2p+(2p+8)] 9p+16=wrong answer :( YOU HAVE THE CORRECT ANSWER. FOR EVERY PENNY YOU WILL HAVE: 1*9+16=25 OR: 1+2+10+12=25 COINS TOTAL. FOR 2 PENNIES YOU WILL HAVE: 2*9+16=34 2+4+12+16=34 COINS TOTAL.

Human-and-algebraic-language/156000: This question is from textbook Eight marbles look alike, but one is slightly heavier than the others. Using a balance scale, explain how you can determine the heavier one in exactly *Two weighings *three weighings 1 solutions Answer 114902 by checkley77(12569)   on 2008-09-09 20:46:06 (Show Source): You can put this solution on YOUR website! 2 WEIGHING SOLUTION: WEIGH 3 ON EACH SCALE. IF THESE 6 BALANCE EQUALLY THEN WEIGHT THE REMAINING 2. THE HEAVIER ONE WILL SURFACE. ASSUMING TTHE ORIGINAL WEIGHING SHOWS ONE SET OF 3 ARE HEAVIER. CHOSE TWO OF THE HEAVIER GROUP & WEIGH THEM. IF ONE IS HEAVIER SOLVED. IF THE 2 YOU SELECTED ARE EQUAL THEN ONE NOT WEIGHED IS THE HEAVY 1. --------------------------------------------- 3 WEIGHING SOLUTION: WEIGH 4 & 4. DIVIDE THE HEAVIEST 4, 2 & 2 & WEIGH THEM. DIVIDE THE HEAVIEST 2, 1 & 1 & WEIGH THEM. THE HEAVIEST WILL SURFACE.

Quadratic_Equations/155978: The so-called golden rectangle is said to be extremely pleasing visually and was used often by ancient Greek and Roman architects. The length of a golden rectangle is approximately 1.6 times the width. Find the dimensions of a golden rectangle if its area is 9000m^2. 1 solutions Answer 114900 by checkley77(12569)   on 2008-09-09 20:36:30 (Show Source): You can put this solution on YOUR website! X*1.6X=9,000 1.6X^2=9,000 X^2=9,000/1.6 X^2=5625 X=SQRT5625 X=75 M FOR THE WIDTH. 1.6*75=120 M FOR THE LENGTH. PROOF: 75*120 9,000=9,000

Numbers_Word_Problems/155991: The product of two consecutive numbers is 210 1 solutions Answer 114897 by checkley77(12569)   on 2008-09-09 20:27:35 (Show Source): You can put this solution on YOUR website! X(X+1)=210 X^2+1X-210=0 (X-+15)(X-14)=0 X-14=0 X=14 ANSWER. 14+1=15 ANSWER. PROOF: 14*15=210 210=210

Numbers_Word_Problems/155992: The product of three consecutive odd numbers is 6,783 1 solutions Answer 114895 by checkley77(12569)   on 2008-09-09 20:17:16 (Show Source): You can put this solution on YOUR website! x(x+2)(x+4)=6,783 A SHORT CUT METHOD DEVELOPED BY MY BROTHER (A MATH WIZARD) IS: TAKE THE CUBERT OF THE PRODUCT THUS: CUBERT6,783=18.93 NOW ROUND THIS ANSWER UP TO THE NEXT INTEGER. 18.93 ROUNDED UP=19. THIS IS THE MIDDLE ODD NUMBER. PROOF 17*19*21=6,783 6,783=6,783

Expressions-with-variables/155984: explain the difference between (-3)^2 and -3^2 1 solutions Answer 114894 by checkley77(12569)   on 2008-09-09 20:09:08 (Show Source): You can put this solution on YOUR website! (-3)^2=-3*-2=9 -(3)^2=-(3*3)-9

Linear-equations/155986: how do I find slope of a line parallel to the graph of each equation 1) y=4x+2 2) y+2/7x + 1 1 solutions Answer 114893 by checkley77(12569)   on 2008-09-09 20:07:36 (Show Source): You can put this solution on YOUR website! 1) y=4x+2 THIS LINE HAS A SLOPE=4. ANY LINE WITH A SLOPE=4 IS PARALLEL. (RED LINE) 2) y+2/7x + 1=0(?) Y=-2X/7-1 SLOPE HERE IS -2/7. (GREEN LINE) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 4x +2 and -2x/7 -1).

Polynomials-and-rational-expressions/155988: y=x^4-5x^2+4 Find the x and y intercepts, then sketch the graph. The problem Im having is that I cant take out an x because of the four at the end. Please help! 1 solutions Answer 114892 by checkley77(12569)   on 2008-09-09 20:01:59 (Show Source): You can put this solution on YOUR website! y=x^4-5x^2+4 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x^4 -5x^2 +4). X INTERCEPTS=-2,-1,1,2 Y INTERCEPT=4 YOU GET THE INTERCEPTS BY EXAMINING THE GRAPH. YOU KNOW THE Y INTERCEPT=4 FROM THE EQUATION. THE X ANSWERS ARE RIGHT ON THE GRAPH X LINE.

Linear_Equations_And_Systems_Word_Problems/155943: I need to set up the 3 by 3 systems of linear equations and solve for them on the following word problem. A theater has 500 seats divided into orchestra, main, and balcony seating. Orchestra seats sell for $50, main seats for $35, and balcony seats for $25. If all seats are sold, the revenue is $17,100. If all the main and balcony seats are sold, but only half the orchestra seats, the revenue is $14,600. How many are there of each kind of seat? 1 solutions Answer 114891 by checkley77(12569)   on 2008-09-09 19:58:28 (Show Source): You can put this solution on YOUR website! THE THREE EQUATIONS ARE: O+M+B=400 50*O+35*M+25*B=17,100 50*O/2+35*M++25*B=14,600

Human-and-algebraic-language/155945: A circular table has an area of 1256 sq. in. The table opens in the middle to allow the addition of leaves. Each leaf is 12 " wide and is rectangular in shape. How many leaves must be added to change the area of the table to 2696 sq. in? 1 solutions Answer 114890 by checkley77(12569)   on 2008-09-09 19:54:21 (Show Source): You can put this solution on YOUR website! 1256=pir^2 1256=3.14*x^2 x^2=1256/3.14 x^2=400 x=sqrt400 x=20 in. is the radius 1256+12*20*x=2696 240x=2696-1256 240x=1440 x=1440/240 x=6 leafs will be needed.