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 Word_Problems_With_Coins/68147: This question is from textbook Algebra for College Students Hector has a collection of nickels, dimes, and quarters totaling 122 coins. The number of dimes he has is 3 more than four times the number of nickels, and the number of quarters he has is 19 less than the number of dimes. How many coins of each kind does he have?1 solutions Answer 48479 by funmath(2925)   on 2007-01-27 06:21:38 (Show Source): You can put this solution on YOUR website!Hector has a collection of nickels, dimes, and quarters totaling 122 coins. The number of dimes he has is 3 more than four times the number of nickels, and the number of quarters he has is 19 less than the number of dimes. How many coins of each kind does he have? Let the number of Nickels be:x Then the number of dimes is (3 more that 4 times nickels): 4x+3 Then the number of quarters is (19 less thatn the number of dimes: 4x+3-19=4x-16 The equation to solve is: Nickels+dimes+quarters=122 (x)+(4x+3)+(4x-16)=122 9x-13=122 9x-13+13=122+13 9x+135 9x/9=135/9 x=15 : Nickels: x=15 Dimes:4x+3=4(15)+3=63 Quarters: 4x-16=4(15)-16=44 : Sanity check, do 15 nickels+63 dimes + 44 Quarters=122 coins? 15+63+44=122 122=122 Yes. I think we've got it! Happy Calculating!!!
 Inequalities/68187: y>3. Determine the correct half-plane1 solutions Answer 48478 by funmath(2925)   on 2007-01-27 06:10:35 (Show Source): You can put this solution on YOUR website!y>3. Determine the correct half-plane y=3 is a horizontal line going through 3 that looks like: Because y>3 and not = to 3, you would use a dashed line instead of a solid one. You would then shade above the line because y is greater than 3. (I can't show you graphs of inequalities, but I hope that helped.) Happy Calculating!!!
 Graphs/68189: Graph the inequality 4x + y is greater than or equal to 41 solutions Answer 48477 by funmath(2925)   on 2007-01-27 06:06:04 (Show Source): You can put this solution on YOUR website!Graph the inequality 4x + y is greater than or equal to 4 Plot points the way you would an equality. Let x=0 and solve for y: Plot (0,4) Let x=1 and solve for y: Plot (1,0) Because the inequality contains =, connect the two points with a solid line like this: I don't have the capability of shading this graph for you, but you would shade above the line because y is greater than the rest of the graph. Happy Calculating!!!
 Equations/68188: 6a/3xy + 2ab/5x^2y + 4b/2x^2 i tried to simplify this into a single fraction and came up with 60ax 12abx 60x^2y / 30x^2y lcd 30x^2y is this even close?1 solutions Answer 48476 by funmath(2925)   on 2007-01-27 05:54:46 (Show Source): You can put this solution on YOUR website! 6a/3xy + 2ab/5x^2y + 4b/2x^2 i tried to simplify this into a single fraction and came up with 60ax 12abx 60x^2y / 30x^2y lcd 30x^2y is this even close? You were close. : You're right the LCD is 30x^2y Which reduces by 6. Happy Calculating!!!!
 Linear-systems/68063: I need to solve the equation for x z=4X+3Y1 solutions Answer 48463 by funmath(2925)   on 2007-01-26 21:26:15 (Show Source): You can put this solution on YOUR website!I need to solve the equation for x z=4X+3Y z-3Y=4X+3Y-3Y z-3Y=4X Happy Calculating!!!
 Equations/68153: My Problem is 19h - 7 = 23 + 14h,its kinda of confusing 2 me If you could help it would be Greatly appreciated1 solutions Answer 48461 by funmath(2925)   on 2007-01-26 21:23:09 (Show Source): You can put this solution on YOUR website!My Problem is 19h - 7 = 23 + 14h 19h-14h-7=23+14h-14h 5h-7=23 5h-7+7=23+7 5h=30 5h/5=30/5 Check by letting h=6 and see if the sides of the equation equal. 19(6)-7=23+14(6) 114-7=23+84 107=107 We're right!!! Happy Calculating!!!
 Equations/68154: My Problem is 1 + 9a -8 = 8a Can you help me please? Thankz1 solutions Answer 48460 by funmath(2925)   on 2007-01-26 21:18:43 (Show Source): You can put this solution on YOUR website!My Problem is 1 + 9a -8 = 8a 9a-7=8a 9a-8a-7=8a-8a a-7=0 a-7+7=0+7 Check by letting a=7 and see if both sides of the equation =. 1+9(7)-8=8(7) 1+63-8=56 64-8=56 56=56 We're right!!! Happy Calculating!!!
 Linear_Equations_And_Systems_Word_Problems/68164: The cost of producing a number of items x is given by C=mx+b, in which b is the fixed cost and m is the variable cost (the cost of producing one more item) a.) if the fixed cost is \$40 and the variable cost is \$10, write the cost equaton1 solutions Answer 48459 by funmath(2925)   on 2007-01-26 21:13:07 (Show Source): You can put this solution on YOUR website!The cost of producing a number of items x is given by C=mx+b, in which b is the fixed cost and m is the variable cost (the cost of producing one more item) a.) if the fixed cost is \$40 and the variable cost is \$10, write the cost equaton In the formula , m=variable cost and b=fixed cost m=10 and b=40 Therefore: Happy Calculating!!!
 Equations/68155: My problem is 4t = 2(7t + 15) Can you help me out? Thankz1 solutions Answer 48458 by funmath(2925)   on 2007-01-26 21:10:47 (Show Source): You can put this solution on YOUR website!My problem is 4t = 2(7t + 15) 4t=2(7t)+2(15) 4t=14t+30 4t-14t=14t-14t+30 -10t=30 -10t/-10=30/-10 Check by letting t=-3 and see if both sides equal: 4(-3)=2(7(-3)+15) -12=2(-21+15) -12=2(-6) -12=-12 We're right!!! Happy Calculating!!!
 Equations/68156: My problem is 7 + w - 10 = 2w Can you help me out? Thank You 1 solutions Answer 48457 by funmath(2925)   on 2007-01-26 21:07:07 (Show Source): You can put this solution on YOUR website!My problem is 7 + w - 10 = 2w w-3=2w w-w-3=2w-w -3=w Check by letting w=-3 and see if both sides of the equation equal. 7+(-3)-10=2(-3) 7-13=-6 -6=-6 We're right!!! Happy Calculating!!!
 Square-cubic-other-roots/68173: Complete this statement: “square root 2 * square root 5 = square root 10 because . . . 1 solutions Answer 48456 by funmath(2925)   on 2007-01-26 21:03:51 (Show Source): You can put this solution on YOUR website!Complete this statement: “square root 2 * square root 5 = square root 10 because . . . Happy Calculating!!!
 Inequalities/68159: 9x+5=-x+151 solutions Answer 48455 by funmath(2925)   on 2007-01-26 21:01:05 (Show Source): You can put this solution on YOUR website!9x+5=-x+15 9x+x+5=-x+x+15 10x+5=15 10x+5-5=15-5 10x=10 10x/10=10/10 Check by letting x=1 and see if both sides are =. 9(1)+5=-(1)+15 9+5=-1+15 14=14 We're right!!! Happy Calculating!!!
 Inequalities/68167: This question is from textbook Pre-Algebra how do u solve this 2m+8>01 solutions Answer 48453 by funmath(2925)   on 2007-01-26 20:57:39 (Show Source): You can put this solution on YOUR website!how do u solve this 2m+8>0 2m+8-8>0-8 2m>-8 2m/2>-8/2 m>-4 Happy Calculating!!!
 Square-cubic-other-roots/68174: Is this irrational or rational: - 4throot sqrt 16 Would this be irrational? I think it would because to me the negative sign before it confuses me but I believe it is irrational. Am I correct? Thank you!1 solutions Answer 48452 by funmath(2925)   on 2007-01-26 20:55:09 (Show Source): You can put this solution on YOUR website!- 4throot(16) - 4throot(2*2*2*2) -2 <---rational. Happy Calculating!!!
 Square-cubic-other-roots/68176: Simplify: sqrt 20 1 ------- - --------- 5 sqrt 5 I do not believe that this can be simplifed, but is there a way to simplify this? Thank you for your help!!1 solutions Answer 48450 by funmath(2925)   on 2007-01-26 20:36:16 (Show Source): You can put this solution on YOUR website!Simplify: The LCD is Most books want you to also rationalize the denominator. Happy Calculating!!!
 Linear-equations/68146: What is the slope, x-intercept, and y-intercept of the following line? 3x + 4y = 91 solutions Answer 48431 by funmath(2925)   on 2007-01-26 16:49:51 (Show Source): You can put this solution on YOUR website!What is the slope, x-intercept, and y-intercept of the following line? 3x + 4y = 9 The slope intercept form of a line is: where m=slope and (0,b)=y-intercept. the slope, m=-3/4 the y-intercept, (0,b)=(0,9/4) Happy Calculating!!!
 Rational-functions/68140: For f(x)=1/x^2-2x-8, find the interval(s) where f(x)<0. Express the following statement as a formula with the value of the constant of proportionality determined with the given conditions: w varies directly as x and inversely as the square of y. If x=15 and y=5, then w=36. The electrical resistance R of a wire varies directly as its length L and inversely as the square of its diameter. A wire 20 meters long and 0.6 centimeters in diameter made from a certain alloy has a resistance of 36 ohms. What is the resistance of a piece of wire 60 meters long and 1.2 centimeters in diameter made from the same material? The period of a simple pendulum is directly proportional to the square root of its length. If a pendulum has a length of 6 feet and a period of 2 seconds, to what length should it be shortened to achieve a 1 swcond period? Thanks for asssiting me in studying for my final exam.1 solutions Answer 48430 by funmath(2925)   on 2007-01-26 16:45:54 (Show Source): You can put this solution on YOUR website!For f(x)=1/x^2-2x-8, find the interval(s) where f(x)<0. x-4=0 when x=4 and x+2=0 when x=-2 So your possible intervals are (-infinity,-2), (-2,4), or (4, infinity) for (-infinity,-2) test -3 1/7 is not <0 so reject this interval. for (-2,4) test 0 -1/8 is <0 so accept this interval. for (4,infinity) test 5 1/7 is not <0 so reject this interval. Therefore the interval where f(x)<0 is (-2,4) : Express the following statement as a formula with the value of the constant of proportionality determined with the given conditions: w varies directly as x and inversely as the square of y. If x=15 and y=5, then w=36. Therefore, the formula is: : The electrical resistance R of a wire varies directly as its length L and inversely as the square of its diameter. A wire 20 meters long and 0.6 centimeters in diameter made from a certain alloy has a resistance of 36 ohms. What is the resistance of a piece of wire 60 meters long and 1.2 centimeters in diameter made from the same material? Convert 20 m to cm's: 60m=6000cm ohms : The period of a simple pendulum is directly proportional to the square root of its length. If a pendulum has a length of 6 feet and a period of 2 seconds, to what length should it be shortened to achieve a 1 swcond period? : Period=T Length=L L=1.5 ft Good Luck on Your Final! Happy Calculating!!!!
 Linear-equations/68129: evaluate each function for the value specified f(x)=x^2-7x+10, find (a)f(0),(b) f(5), and (c) f(-2) Please help this relates to the function notation, I dont understand how to do this problem. 1 solutions Answer 48425 by funmath(2925)   on 2007-01-26 16:12:39 (Show Source): You can put this solution on YOUR website!evaluate each function for the value specified Substitute the number in for x and simplify. f(x)=x^2-7x+10, find (a)f(0) : (b) f(5) : (c) f(-2) : Happy Calculating!!!
 Linear-equations/68130: rewrite each equation as a function of x -3x+4y= 11 Please help with this equation Thanks1 solutions Answer 48422 by funmath(2925)   on 2007-01-26 16:02:51 (Show Source): You can put this solution on YOUR website!rewrite each equation as a function of x -3x+4y= 11 -3x+3x+4y=11+3x 4y=3x+11 If you need to use function notation, replace y with f(x) If this doesn't look exactly the way the book says that it should, it could also look like this: Happy Calculating!!!
 Functions/68142: If f (X) = 5x-1, find the following f (a-2) Please help me solve this thank you these are function notation problems 1 solutions Answer 48420 by funmath(2925)   on 2007-01-26 15:58:00 (Show Source): You can put this solution on YOUR website!If f (X) = 5x-1, find the following f (a-2) Substitute a-2 in for x: f(a-2)=5(a-2)-1 f(a-2)=5a-10-1 Happy Calculating!!!
 Quadratic_Equations/68137: solve the following: 18x^2 + 9x - 2 = 01 solutions Answer 48416 by funmath(2925)   on 2007-01-26 15:41:06 (Show Source): You can put this solution on YOUR website!solve the following: 18x^2 + 9x - 2 = 0 Factor 18x^2+12x-3x-2=0 (18x^2+12x)+(-3x-2)=0 6x(3x+2)-1(3x+2)=0 (6x-1)(3x+2)=0 Set each parentheses = to 0. 6x-1=0 or 3x+2=0 6x-1+1=0+1 or 3x+2-2=0-2 6x=1 or 3x=-2 6x/6=1/6 or 3x/3=-2/3 or Happy Calculating!!!!
 Linear-equations/68136: how can i solve and understand a+b+c=180(for b) 1 solutions Answer 48413 by funmath(2925)   on 2007-01-26 15:35:38 (Show Source): You can put this solution on YOUR website!how can i solve and understand a+b+c=180(for b) a-a+b+c=180-a b+c=180-a b+c-c=180-a-c Happy Calculating!!!!
 Equations/68133: This question is from textbook Algebra for College Students 4(x-2)-3(x-1)=2(x+6)1 solutions Answer 48412 by funmath(2925)   on 2007-01-26 15:31:49 (Show Source): You can put this solution on YOUR website!4(x-2)-3(x-1)=2(x+6) 4(x)+4(-2)-3(x)-3(-1)=2(x)+2(6) 4x-8-3x+3=2x+12 (4-3)x-8+3=2x+12 x-5=2x+12 x-x-5=2x-x+12 -5=x+12 -5-12=x+12-12 Check by letting x=-17 and see if both sides =. 4(-17-2)-3(-17-1)=2(-17+6) 4(-19)-3(-18)=2(-11) -76+54=-22 -22=-22 We're right!!! Happy Calculating!!!!
 Quadratic_Equations/68138: I had a problem I was working on with the quadratic equation rule. Eventually I worked the problem down to The answer I'm suppose to get from there is I don't see how this is possible. 1 solutions Answer 48410 by funmath(2925)   on 2007-01-26 15:20:39 (Show Source): You can put this solution on YOUR website!I had a problem I was working on with the quadratic equation rule. This is how you solve it by completing the square. : If you were supposed to solve it using the quadratic formula: a=1, b=4 and c=2 Either way you eventually get there. Happy Calculating!!!!
 Polynomials-and-rational-expressions/68139: Factor by grouping: 18a^3 - 24a^2b + 15ab^2 - 20b^31 solutions Answer 48408 by funmath(2925)   on 2007-01-26 15:09:20 (Show Source): You can put this solution on YOUR website!Factor by grouping: 18a^3 - 24a^2b + 15ab^2 - 20b^3 Group the 1st two and 2nd two parenthses. Factor out the GCF from each parentheses. Factor out the 3a-4b Happy Calculating!!!
 Numbers_Word_Problems/67981: Problem: "The difference of a number and twice its reciprocal is 47/7. Find the number." My problem is, how can I construct an equation out of the given problem. I initially tried x-(2)1/x=47/7, but I've got the wrong results. Thank you for helping me with this problem. 1 solutions Answer 48334 by funmath(2925)   on 2007-01-25 08:40:42 (Show Source): You can put this solution on YOUR website!Problem: "The difference of a number and twice its reciprocal is 47/7. Find the number." My problem is, how can I construct an equation out of the given problem. I initially tried x-(2)1/x=47/7, but I've got the wrong results. I think you're on the right track: Multiply everything by the LCD, 7x. Factor Set each parentheses = to 0 and solve for x. 7x+2=0 or x-7=0 7x+2-2=0-2 or x-7+7=0+7 7x=-2 or x=7 7x/7=-2/7 or x=7 or Sanity check: x=-2/7 works x=7 also works Happy Calculating!!!!
 Equations/67958: This question is from textbook Pre-Algebra do u know 5x+12=3x-61 solutions Answer 48332 by funmath(2925)   on 2007-01-25 08:14:16 (Show Source): You can put this solution on YOUR website!do u know 5x+12=3x-6 5x+12=3x-6 5x-3x+12=3x-3x-6 2x+12=0-6 2x+12=-6 2x+12-12=-6-12 2x+0=-18 2x=-18 2x/2=-18/2 Check by letting x=-9 and see if both sides =. We're right! Happy Calculating!!!
 Functions/67978: How do I evaluate each function for the value specified. f(x) = x 2 - 7x +10; find (a) f (0), (b) f (5), and (c) f (2).1 solutions Answer 48331 by funmath(2925)   on 2007-01-25 08:07:04 (Show Source): You can put this solution on YOUR website!How do I evaluate each function for the value specified. f(x) = x 2 - 7x +10; find (a) : (b) : (c) : Happy Calculating!!!
 Trigonometry-basics/67979: This question is from textbook Holt Physics This is a a phsics homework assignment that i do not understand that deals with radians and trigonometry. Thanks1 solutions Answer 48330 by funmath(2925)   on 2007-01-25 08:01:08 (Show Source): You can put this solution on YOUR website!You're going to need to post the directions and your question so someone can help you. We don't have your book.
 absolute-value/67973: solve the inequality, with answer in interval notation |2x-3| is less than or equal to 201 solutions Answer 48329 by funmath(2925)   on 2007-01-25 06:47:38 (Show Source): You can put this solution on YOUR website!solve the inequality, with answer in interval notation |2x-3| is less than or equal to 20 Because this is a less than situation it is an and situation and can be solved simultaneously like this. Interval notation: [-17/2,23/2] Happy Calculating!!!
 absolute-value/67974: |8x-3|=51 solutions Answer 48328 by funmath(2925)   on 2007-01-25 06:41:45 (Show Source): You can put this solution on YOUR website!|8x-3|=5 8x-3=5 or 8x-3=-5 8x-3+3=5+3 or 8x-3+3=-5+3 8x=8 or 8x=-2 8x/8=8/8 or 8x/8=-2/8 or Check: or or or or We're right!!! Happy Calculating!!!!