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 Linear-equations/400061: These are my questions, and thank you very much for your help. 1) What is the slope of a line that is parallel to the graph of (1/2)y = x+6 2) For what value(s) of r is 3r-6 = 7+3r? 3)16% of 980 is 9.8% of what number? 4)Solve x-2y = 12 if the domain is (-3, -1, 0, 2, 5) 5)What is the range of f(x)=[x-1]? Here are my 5 questions...I'm sure at least some of them are easier than they look. But I'm not very good at math and my math book has a thing about wording problems weird and making them confusing, so...anyway, get back to me when you can. I really appreciate it. -Mary 1 solutions Answer 283322 by Alan3354(30937)   on 2011-01-26 14:58:05 (Show Source): You can put this solution on YOUR website!1) What is the slope of a line that is parallel to the graph of (1/2)y = x+6 y = 2x + 12 2 --------- 2) For what value(s) of r is 3r-6 = 7+3r? Subtract 3r -6 = 7 No values. --------------- 3)16% of 980 is 9.8% of what number? 980*0.16 = 156.8 n = 156.8/0.098 n = 1600
 Probability-and-statistics/400099: "An experiment in a lab started with 50 bacterias. If the bacterias are spreading 100% in 1 hour. How many bacterias will be there in the lab after 24 hours"1 solutions Answer 283314 by Alan3354(30937)   on 2011-01-26 14:34:01 (Show Source): You can put this solution on YOUR website!"An experiment in a lab started with 50 bacterias. If the bacterias are spreading 100% in 1 hour. How many bacterias will be there in the lab after 24 hours" ---------- = 50*2^24 = 838,860,800 --------------- PS Bacteria is plural, not bacterias.
 Triangles/400073: What is a unique triangle?1 solutions Answer 283278 by Alan3354(30937)   on 2011-01-26 13:24:09 (Show Source): You can put this solution on YOUR website!Unique Triangles Unique Triangles are Triangles that do not have an equivalent. This means there is not another triangle that has the exact dimensions or shape. -------------- That sounds like all of them.
 Functions/400052: Can you please help: Wvaluate without a calculator log5(-25)1 solutions Answer 283263 by Alan3354(30937)   on 2011-01-26 12:36:33 (Show Source): You can put this solution on YOUR website!There is no log of a negative number.
 Functions/400054: Can you please help, Evaluate the logarithm without a calculator: log9(1/3)1 solutions Answer 283261 by Alan3354(30937)   on 2011-01-26 12:35:27 (Show Source): You can put this solution on YOUR website!Evaluate the logarithm without a calculator: log9(1/3) 9 = 3^2 -------- = = -1/2
 Mixture_Word_Problems/400038: sprockets R Us is selling its bicycle sprockets for 2/5 of a dollar. this price shows a decrease of 1/3 of the original price. what was the original price? can you explain me how can i do this. please 1 solutions Answer 283256 by Alan3354(30937)   on 2011-01-26 12:20:27 (Show Source): You can put this solution on YOUR website!sprockets R Us is selling its bicycle sprockets for 2/5 of a dollar. this price shows a decrease of 1/3 of the original price. what was the original price? ------------ 40 cents is the remaining 2/3 of the original price. 40 = (2/3)OP 20 = OP/3 OP = 60 cents
 Linear_Equations_And_Systems_Word_Problems/399996: QUESTION: Does this make sense or does it not make sense? Angles A and B are supplementary, so I modeled this condition using: 4x-2y+4=12x + 6y+12+180 Angle A: 4x-2y+4 Angle B: 12x+6y+12 >>>>ATTEMPTED SOLOUTION: I attempted this problem knowing that supplementary angles add up to 180 degrees This is my set up: 12x+6y+12 4x-2y+4 I divided the top equation by 6 and the bottom equation by 2 to bring it down to smaller numbers. Resulting in the following equations 2x+y+2 2x-y+2 The "Y's" disappear leaving the equation 4x+4=180.....subtract 4 from both side of the equations 4x+176 divide by 4 on each side to isolate the variable which results in x=44 to check if the answer is correct I back substitute 44 for x in the reduced equation which resulted in 2*44 + y +2 which becomes 88 + y + 2 = 90 + y combine like terms by - y from right side equation and left side equation......move the combine 88 and 2 to = 90 resulting in 90 = 90.......which is true since both of these equations add to 180.....I would say that this problem MAKES SENSE but the answer in the back of the book says it DOES NOT make sense............why doesn't it?1 solutions Answer 283255 by Alan3354(30937)   on 2011-01-26 12:18:00 (Show Source): You can put this solution on YOUR website!Angles A and B are supplementary, so I modeled this condition using: 4x-2y+4=12x + 6y+12+180 Angle A: 4x-2y+4 Angle B: 12x+6y+12 ------------------- A + B = 180 4x-2y+4 + 12x+6y+12 = 180 16x + 4y + 16 = 180 4x + y = 41 Now there's one eqn with 2 variables. No unique solution is possible. ----------------------------------------------------- >>>>ATTEMPTED SOLOUTION: I attempted this problem knowing that supplementary angles add up to 180 degrees This is my set up: 12x+6y+12 4x-2y+4 I divided the top equation by 6 and the bottom equation by 2 to bring it down to smaller numbers. **** You can't divide the 2 eqns independently. ***** Resulting in the following equations **** those are not eqns, no equal signs. 2x+y+2 2x-y+2 The "Y's" disappear leaving the equation 4x+4=180.....subtract 4 from both side of the equations 4x+176 divide by 4 on each side to isolate the variable which results in x=44 to check if the answer is correct I back substitute 44 for x in the reduced equation which resulted in 2*44 + y +2 which becomes 88 + y + 2 = 90 + y combine like terms by - y from right side equation and left side equation......move the combine 88 and 2 to = 90 resulting in 90 = 90.......which is true since both of these equations add to 180.....I would say that this problem MAKES SENSE but the answer in the back of the book says it DOES NOT make sense............why doesn't it?
 Polygons/400021: The area of a rergular polygon is 36 in. square.Find the length of a side if the polygon has the given number of sides.Round your answer to the nearest tenth.1 solutions Answer 283252 by Alan3354(30937)   on 2011-01-26 12:09:20 (Show Source): You can put this solution on YOUR website!If it's 4 sides, they're 6 inches
 Triangles/400031: How do I calculate the remaining angles of a triangle if the base and height of a triangle are known: example; the base is .625, the height is 1.25 and the known angle between the base and height is 90 degrees. Thank you, Ted Williams1 solutions Answer 283251 by Alan3354(30937)   on 2011-01-26 12:07:20 (Show Source): You can put this solution on YOUR website!How do I calculate the remaining angles of a triangle if the base and height of a triangle are known: example; the base is .625, the height is 1.25 and the known angle between the base and height is 90 degrees. ---------------- The smaller angle = arctan(0.625/1.25) =~ 26.56º The 3rd = 90 - 26.56 = 63.44º
 Polynomials-and-rational-expressions/400033: Simplify: (ab)^41 solutions Answer 283250 by Alan3354(30937)   on 2011-01-26 12:04:37 (Show Source): You can put this solution on YOUR website!= a^4b^4 Is that simpler? Simpler can be a matter of opinion.
 Rectangles/400036: a rectangle is 10m long and its perimeter is 26m. find the breadth of the rectangle.1 solutions Answer 283249 by Alan3354(30937)   on 2011-01-26 12:02:13 (Show Source): You can put this solution on YOUR website!P = 2L + 2W = 26 L + W = 13 W = 3m
 test/400045: Will u please help ! Find AB if BC is 20 cm and DC is 25cm on a right triangle ! Please show all the steps ! 1 solutions Answer 283247 by Alan3354(30937)   on 2011-01-26 12:01:08 (Show Source): You can put this solution on YOUR website!Your "triangle" has too many points, A, B, C & D. Specify which side is the hypotenuse, too.
 Polynomials-and-rational-expressions/400042: a)A rectangle has an area given by A = x^2 + 5x + 6 Find an expression for the possible length of the rectangle. B) A rectangle has an area given by A = x^2 + 5x + 6 Find an expression for the possible width of the rectangle. I really need your help ASAP! thankyou!1 solutions Answer 283245 by Alan3354(30937)   on 2011-01-26 11:58:36 (Show Source): You can put this solution on YOUR website! a)A rectangle has an area given by A = x^2 + 5x + 6 Find an expression for the possible length of the rectangle. ----------------- I think you're expected to factor, and say the factors are the possible lengths and widths. x^2 + 5x + 6 = (x+2)*(x+3) ------------------ However, the length can be any value, and the width is (x^2 + 5x + 6)/length. eg, L = 1, W = x^2 + 5x + 6 L = 2, W = (x^2 + 5x + 6)/2 L = 75, W = (x^2 + 5x + 6)/75 L = q, W = (x^2 + 5x + 6)/q ---------------------- Not a reasonable problem. ------------------ B) A rectangle has an area given by A = x^2 + 5x + 6 Find an expression for the possible width of the rectangle.
 Numeric_Fractions/400037: what is 6/5%7?1 solutions Answer 283243 by Alan3354(30937)   on 2011-01-26 11:52:38 (Show Source): You can put this solution on YOUR website!Nobody knows. Clarify your entry.
 Rational-functions/399993: 4x^2-12x-72= 1 solutions Answer 283203 by Alan3354(30937)   on 2011-01-26 09:59:40 (Show Source): You can put this solution on YOUR website!What's your question?
 Graphs/399990: Simplify: (5x+2z)+(3x-4z)=1 solutions Answer 283201 by Alan3354(30937)   on 2011-01-26 09:50:35 (Show Source): You can put this solution on YOUR website!Add the x terms, add the z terms. = 8x - 2z
 Exponents/399963: Solve for w 18w(to the 3rd power) +12= 01 solutions Answer 283196 by Alan3354(30937)   on 2011-01-26 09:35:35 (Show Source): You can put this solution on YOUR website!18w(to the 3rd power) +12= 0 w =~ -1.3867 ------------- That's the principal root, there are 2 others.
 Circles/399982: What is the equation of the circle passing through the origin with center (24, -45)? 1 solutions Answer 283192 by Alan3354(30937)   on 2011-01-26 09:22:58 (Show Source): You can put this solution on YOUR website!What is the equation of the circle passing through the origin with center (24, -45)? ----------- r = the distance to (24,-45) -->
 Circles/399984: The pool at a park is circular. You want to find the equation of the circle that is the boundary of the pool. Find the equation if the area of the pool is 800 sq. feet and (0, 0) represents the center of the pool. A. x^2 + y^2 -800 = pie B. x^2 + y^2 =800/pie C. x^2 + y^2 = 800 D. x^2 + y^2 = pie/8001 solutions Answer 283191 by Alan3354(30937)   on 2011-01-26 09:19:38 (Show Source): You can put this solution on YOUR website!The pool at a park is circular. You want to find the equation of the circle that is the boundary of the pool. Find the equation if the area of the pool is 800 sq. feet and (0, 0) represents the center of the pool. A. x^2 + y^2 -800 = pie B. x^2 + y^2 =800/pie C. x^2 + y^2 = 800 D. x^2 + y^2 = pie/800 ----------- --> B ------------ PS It's pi, the Greek letter, not pie, the dessert.
 Linear_Algebra/399974: what is the soulution to 2x+10y=321 solutions Answer 283188 by Alan3354(30937)   on 2011-01-26 09:09:53 (Show Source): You can put this solution on YOUR website!There are an infinite # of solutions. x = 0, y = 3.2 x = 1, y = 3 etc Pick any value for y, and you can find x. They're all solutions.
 Money_Word_Problems/399958: Please help me solve this word problem : Leans has \$31.05 in dimes and quaters. The number of dimes is one-fifth the number of quaters. How many of each does she have?1 solutions Answer 283184 by Alan3354(30937)   on 2011-01-26 08:43:47 (Show Source): You can put this solution on YOUR website!Leans has \$31.05 in dimes and quaters. The number of dimes is one-fifth the number of quaters. How many of each does she have? ------------ q = # of quarters d = # of dimes ---------- 25q + 10d = 3105 q = 5d Sub for q in the 1st eqn 25*5d + 10d = 3105 135d = 3105 d = 23 q = 115
 Percentage-and-ratio-word-problems/399955: number of ts ; number of rs1 solutions Answer 283183 by Alan3354(30937)   on 2011-01-26 08:38:55 (Show Source): You can put this solution on YOUR website!What about them?
 logarithm/399942: wrtie the expression as one logarithm: 2logxy^1/3 + logxy^2 - 3logxy1 solutions Answer 283179 by Alan3354(30937)   on 2011-01-26 08:25:54 (Show Source): You can put this solution on YOUR website!wrtie the expression as one logarithm: 2logxy^1/3 + logxy^2 - 3logxy ------------ I think you mean base x: = = = or =
 Numeric_Fractions/399950: a manufacturer of bird feeders cuts spacers from a tube that is 2 2/11 inches long. HOw many spacers can be cut from the tube if each spacer must be 6/11 inches thick?1 solutions Answer 283175 by Alan3354(30937)   on 2011-01-26 08:10:22 (Show Source): You can put this solution on YOUR website!a manufacturer of bird feeders cuts spacers from a tube that is 2 2/11 inches long. HOw many spacers can be cut from the tube if each spacer must be 6/11 inches thick? --------------- 2 2/11 = 24/11 24/6 = 4 spacers (with no waste) ----------------- I've never seen a measuring tape or device calibrated in 11th of inches. Yesterday a problem had 7ths of hours, maybe they come from the same place.
 real-numbers/399946: hi I have a problem for you to solve it's algebra and it has to be simplified if possible here is the problem six and two thirds plus three forth how do you work it out to show the work and simplify if possible. 1 solutions Answer 283169 by Alan3354(30937)   on 2011-01-26 07:53:50 (Show Source): You can put this solution on YOUR website!6 2/3 + 3/4 = 20/3 + 3/4 = 80/12 + 9/12 = 89/12 --------- You can reduce it to 7 5/12, but there's no advantage to that.
 Expressions-with-variables/399941: The directions are solve by the addition-or-subtraction method.... 2k-5p=-5 6k-5p=-17 1 solutions Answer 283167 by Alan3354(30937)   on 2011-01-26 07:42:25 (Show Source): You can put this solution on YOUR website!2k-5p=-5 6k-5p=-17 ----------- Subtract -4k = 12 k = -3 Go from there.
 Inequalities/399940: what is the graph of x>-9.51 solutions Answer 283166 by Alan3354(30937)   on 2011-01-26 07:31:04 (Show Source): You can put this solution on YOUR website!The graph of x = -9.5 is a line parallel to the y-axis, "vertical", thru (-9.5,0). The graph of x > -9.5 is all the area to the right of the line, not including the line.
 Polynomials-and-rational-expressions/399916: The sum of the squares of two consecutive negative integers is 61. Find the smaller of the two integers.1 solutions Answer 283164 by Alan3354(30937)   on 2011-01-26 07:00:24 (Show Source): You can put this solution on YOUR website!61/2 = 30.5 sqrt(30.5) =~ 5.5, the middle --> 5 & 6 Also -6 & -5
 test/399856: If my equation was "(1.5a^3)(4a^6) and I used the foil process would my final answer be 1.5+1.5a^6+4a^3+a^9?1 solutions Answer 283100 by Alan3354(30937)   on 2011-01-25 21:44:20 (Show Source): You can put this solution on YOUR website!If my equation was "(1.5a^3)(4a^6) and I used the foil process would my final answer be 1.5+1.5a^6+4a^3+a^9? ------------- It's not an equation, there's no equal sign.
 test/399812: Simplify 0.13331 solutions Answer 283096 by Alan3354(30937)   on 2011-01-25 21:34:04 (Show Source): You can put this solution on YOUR website!Define simplify.