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# Recent problems solved by 'Abbey'

Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359, >>Next

 Money_Word_Problems/8916: what is a formuala. and a good explanation going through how you get from one step to another on.. " Cost and Money Problems "... Algebra 1... thank you 1 solutions Answer 4874 by Abbey(339)   on 2005-08-30 13:53:04 (Show Source): You can put this solution on YOUR website!Since we are tutors from all over the US, and there are hundreds of books called algebra I, there is no way any of us could give an answer to this question. Perhaps you could try posting a problem, and we can give you an explanation for the solution and you can get what you need from it?
 Average/8834: At noon, one ship sails north from Castaway Island at 15 knots and another ship sails east at 20 knots. (A knot is a nautical mph.) How far apart will the ships be at 2:00 p.m.?1 solutions Answer 4873 by Abbey(339)   on 2005-08-30 13:50:23 (Show Source): You can put this solution on YOUR website!I'm confused i did not want help with this problem!!!
 Complex_Numbers/8843: a five-digit perfect square in the form of 5abc6 has a thousands digit a, hundreds digit b, and tens digit c. if a< b< c, what is the sum of a+b+c?1 solutions Answer 4872 by Abbey(339)   on 2005-08-30 13:46:35 (Show Source): You can put this solution on YOUR website!because this is a five digit square, we are squaring a 3 digit number that ends in 6 and is less than 250*250, but greater than 200*200 our choices then are 226^2=51076 236^2=55696 the only one that meets the criteria of a so the number is 55696 a+b+c = 20
 Expressions-with-variables/8912: answer with work please.2/3x-5=5(x-3)1 solutions Answer 4871 by Abbey(339)   on 2005-08-30 13:34:53 (Show Source): You can put this solution on YOUR website! clear the parentheses: add 5 to both sides: subtract 5x from both sides: convert 5x to a fraction combine x terms: multiply both sides by 3 to clear the denominator: divide both sides by -13
 Miscellaneous_Word_Problems/8848: a fish was caught whos tail weighs 9 pounds. His head weighed as much as his tail and half his body,and his body weighs as much as his head and his tail. how much does the fish weigh 1 solutions Answer 4870 by Abbey(339)   on 2005-08-30 13:29:39 (Show Source): You can put this solution on YOUR website!let's break this apart into manageable pieces: a fish was caught whos tail weighs 9 pounds. Let the Tail (T) = 9 pounds His head weighed as much as his tail and half his body, Head (H) = T + 1/2 Body (B) H=9+B/2 and his body weighs as much as his head and his tail. B=H+T B=H+9 how much does the fish weigh since we know that the head =9+b/2, we can substitute into our second equation: B=9+b/2+9 B=18+b/2 b-b/2=18 b/2=18 b=36 so the body weighs 36 pounds, the head weighs 27 pounds and the tail weighs 9 pounds the fish (in total) weighed 72 pounds That is certainly a whopper!
 Exponents-negative-and-fractional/8879: If 4^(1/5) = x, then a. x * x * x * x * x = 4 b. 1/(x * x * x * x * x) = 4 c. 4 * 4 * 4 * 4 * 4 = x d. 1/(4 * 4 * 4 * 4 * 4) = x 1 solutions Answer 4869 by Abbey(339)   on 2005-08-30 13:19:23 (Show Source):
 Linear-equations/8904: 2(p + 5) - (9 + p) = -3. I can not figure out how the book got the answer of -4. Could you please show all the steps invloved? Thanks, Brandy1 solutions Answer 4868 by Abbey(339)   on 2005-08-30 13:17:47 (Show Source): You can put this solution on YOUR website!Since I don't know where you made your error, I can guess that either you forgot to distribute the negative sign in front of the (9+p)or you forgot to distribute the 2 to the (p+5), so: using the distributive property we will clear the parentheses: 2(p + 5) - (9 + p) = -3 2p+10-9-p=-3 then combine like terms: p+1=-3 subtract 1 from both sides: p=-4
 Mixture_Word_Problems/8906: use definitions or identites to find the exact value of the remaining 5 trig functions. 1. sin=(sqrt3)/4 2. cot=1/2 3. csc=5 4. sec = 5/3 5. cot=2 Thank you so much!!1 solutions Answer 4867 by Abbey(339)   on 2005-08-30 13:13:56 (Show Source): You can put this solution on YOUR website!In order to solve these trig problems, you should remember: sin^2X+cos^2X=1 and remember that tan=sin/cos cot=cos/sin sec=1/cos csc=1/sin 1. sin=(sqrt3)/4 then: cos=(sqrt13)/4 tan=(sqrt3/sqrt13) csc=4/(sqrt3) sec=4/(sqrt13) cot=(sqrt13)/(sqrt3) 2. cot=1/2 then: sin=2/(sqrt5) cos=1/(sqrt5) tan=2 csc=(sqrt5)/2 sec=sqrt5 cot=1/2 3. csc=5 then: sin=1/5 cos=(2sqrt6)/5 tan=1/(2sqrt6) sec=5/(2sqrt6) cot=(2sqrt6) 4. sec=5/3 then: sin=4/5 cos=3/5 tan=4/3 csc=5/4 cot=3/4 5. cot=2 then: sin=1/(sqrt5) cos=2/(sqrt5) tan=1/2 csc=sqrt5 sec=(sqrt5)/2
 Equations/8908: I have done this before, however I am not coming up with the correct way to solve the problem. Ax+By=c solve for y?1 solutions Answer 4866 by Abbey(339)   on 2005-08-30 13:08:50 (Show Source): You can put this solution on YOUR website!Ax+By=c subtract Ax from both sides of the equation: By=c-Ax divide both sides by b y=(c-Ax)/b
 Square-cubic-other-roots/8909: Simplify square root of (x^2+4). thanks, Kyle1 solutions Answer 4865 by Abbey(339)   on 2005-08-30 13:07:47 (Show Source): You can put this solution on YOUR website!this is in its simplest form (no two numbers mutliplied together will give you x^2 + 4)
 Equations/8910: I am working hard to get to the point where I could solve word problems in Algebra. Problem: The second angle of a triangular parking lot is four times as large as the first angle. The third angle is 45 degrees less than the sum of the other two angles. How long are the angles?1 solutions Answer 4864 by Abbey(339)   on 2005-08-30 13:06:44 (Show Source): You can put this solution on YOUR website!let the first angle = x let the second angle =4x let the third angle = x+4x-45 so when these are added together, they will total 180 degrees: x+4x+x+4x-45=180 add 45 to both sides and combine like terms: 10x=225 x=22.5 degrees so if the first angle =22.5 degrees, the second angle must = 90 degrees and the final angle equals 90+22.5-45 = 67.5 degrees.
 Graphs/6357: Find x and y-intercepts for the equation. Then graph the eguation. 15y-3x=-91 solutions Answer 3412 by Abbey(339)   on 2005-08-01 10:36:09 (Show Source): You can put this solution on YOUR website!First put this into y=mx+b format: add 3x to both sides: 15y=3x-9 divide by 15: y=(3/15)x-(9/15) reduce fractions: y=(1/5)x-(3/5) your y intercept occurs when x=0: y=-3/5, so the y-intercept is (0,-3/5) the x intercept will be when y=0 0=(1/5)x-(3/5) add 3/5 to both sides: 3/5=1/5x multiply both sides by 5: 3=x, so the x intercept occurs at (3,0)
 Numeric_Fractions/6181: I just need to know if I am right or not. My question is Reduce the fraction -20t^5 u^2 v^3 -------------- 48t^7 u^4 v I think the answer is -5v^2 --------- 12t^2 u^21 solutions Answer 3317 by Abbey(339)   on 2005-07-30 09:36:41 (Show Source): You can put this solution on YOUR website!you are correct
 Mixture_Word_Problems/6186: without using a calculator find the value of the following 1. logbase8 8 = is it 1? 2. logbase3(1/9) = -2?? 3. logbase1/3 9= 27??? 4. logbase5 cuberoot25 = I have no idea 5. logbasesqrt3 9 = ?? 6. lne^3= ?? Can someone help me with these i thought i understood but i'm really stuck. thank you so much.1 solutions Answer 3316 by Abbey(339)   on 2005-07-30 09:31:50 (Show Source): You can put this solution on YOUR website!1. logbase8 8 = is it 1? This is correct. 2. logbase3(1/9) = -2?? This is correct The first two problems seemed to be no problem for you, you simply put them into the same form and solved, so we can rewrite the following problems in the same form to see the answers as well: 3. logbase1/3 9= 27??? rewrite 9 as (1/3)^-2 so the problem is now: 4. logbase5 cuberoot25 = rewrite cube root of 25 as so the problem now reads: 5. logbasesqrt3 9 = rewrite 9 as 6. lne^3= = rewrite this as 3*lne (the lne=1) so, 3*1=3
 Quadratic_Equations/6194: Hello I need to solve the following problem: A company uses the function: C(x) = 2x2 – 40x + 250 to model the cost of producing x units. How many units must be made to minimize the cost? Thanks much Mhunter1 solutions Answer 3315 by Abbey(339)   on 2005-07-30 09:21:47 (Show Source): You can put this solution on YOUR website! if the cost is minimized, then it will equal zero: divide both sides by 2: factor: x=-5 or 25 since we are talking about producing an item, we cannot produce negative items, so we can discard the -5 answer. costs will be minimized if 25 units or more are produced.
 Age_Word_Problems/6190: if A is 3 yrs older than B and B is twice of the age of C..the total sum of ages are 30 then what is the age of B?1 solutions Answer 3314 by Abbey(339)   on 2005-07-30 09:17:19 (Show Source): You can put this solution on YOUR website!A is 3 years older than B: A=3+B B is twice the age of C: B=2C so A compared to C is A=3+2C the sum of their ages is 30: (3+2C)+(2C)+C=30 3+2C+2C+C=30 3+5C=30 subtract 3 from both sides: 5C=27 divide both sides by 5 C=27/5 or 5 and 2/5 years so B is 2(27/5) =54/5 = 10 and 4/5 years and A is 13 and 4/5 years check: 10 and 4/5 + 13 and 4/5 + 5 and 2/5 = 30, so it is correct
 Geometry_Word_Problems/6206: what is the volume + surface area of a cylinder 1 solutions Answer 3313 by Abbey(339)   on 2005-07-30 09:08:55 (Show Source): You can put this solution on YOUR website!if you think about slicing a cylinder lengthwise and unpeeling it, it would look like a rectangle, right? (roll up a piece of 8.5x11 paper and it makes a cylinder) so the formula for the surface area will be length * width. the trick here is to remember that the length will be the height of the cylinder, and the width will be the circumference of the cylinder: circumference = 2pi*radius so the area = 2pi*radius*height the volume is the area of opening to the cylinder * height so the volume + surface area =
 Numeric_Fractions/6201: I am not sure if I am doing this question right, Can someone help me? My question is multiply, 3xyz^2 2y ------ by ----- 6y^4 xz^4 I think the answer is x^2 --------- 3y^2 z^2 Am I right?1 solutions Answer 3312 by Abbey(339)   on 2005-07-30 09:00:45 (Show Source): You can put this solution on YOUR website!because everything is being multiplied (and not added or subtracted) you can take every cancellation opportunity: so the (3*2) in the numerator cancels with the 6 in the denominator: then the x in the numerator cancels with the x in the denominator: then the (y^2*y) in the numerator will cancel with three of the Y's in the denominator:
 Numeric_Fractions/6200: I am not sure if I am doing this question right or not. Reduce the fraction. -20t^5 u^2 v^3 -------------- 48t^7 u^4 v I think the answer is -5v^2 ----------- 12t^2 u^2 Am I right? 1 solutions Answer 3311 by Abbey(339)   on 2005-07-30 08:50:12 (Show Source): You can put this solution on YOUR website!you are absolutely right