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# Recent problems solved by 'Alan3354'

Alan3354 answered: 30973 problems
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 Functions/655693: where does the graph f(x)=4x +3 intersect the y axis?1 solutions Answer 409234 by Alan3354(30993)   on 2012-09-23 13:24:12 (Show Source): You can put this solution on YOUR website!where does the graph f(x)=4x +3 intersect the y axis? ------------- It's where x = 0 --> 3, or (0,3)
 Exponents/655679: y6 x y3 =1 solutions Answer 409233 by Alan3354(30993)   on 2012-09-23 13:23:03 (Show Source): You can put this solution on YOUR website!y6 x y3 = ----------- Use the asterisk for multiply, not x x has other uses. Use the ^ for exponents, Shift 6. --------- When multiplying, add the exponents. =
 Square-cubic-other-roots/655690: How do i do this problem: cubed root of 3 times square root of three. I have to put it in radical expression1 solutions Answer 409231 by Alan3354(30993)   on 2012-09-23 13:20:32 (Show Source): You can put this solution on YOUR website!How do i do this problem: cubed root of 3 times square root of three. -------------- Find a common index. 3*2 = 6 ----------- = = = ----------- PS It's cube root, not cubed root.
 Trigonometry-basics/655670: if csc of theta equals root 2, how many degrees is that?1 solutions Answer 409230 by Alan3354(30993)   on 2012-09-23 13:17:38 (Show Source): You can put this solution on YOUR website!if csc of theta equals root 2, how many degrees is that? -------------- Find theta in degrees. That's what you should say. -------------- sin = 1/csc --> --> theta = 45 degs (the principal angle) theta = 45, 135 + n*360 degrees, n = +/- 0, 1, 2, 3...
 logarithm/655680: I get different answers depending on how I simplify the expression . This shows me that I must be awfully confused about log rules. WolframAlpha gives , which I figured out can be done thusly: If I do it another way, I get my answer as . Here is how I did that: But if I do it another way, I get the answer as 5^(2/3)+a. See: And even a third answer: 1 solutions Answer 409229 by Alan3354(30993)   on 2012-09-23 13:11:44 (Show Source): You can put this solution on YOUR website!I get different answers depending on how I simplify the expression =========================== = Since 25 = 5^2: = =
 Mixture_Word_Problems/655683: how many liters of a 10% alcohol solution must be mixed with 50 L of a 90% solution to get a 50% solution?1 solutions Answer 409228 by Alan3354(30993)   on 2012-09-23 13:02:43 (Show Source): You can put this solution on YOUR website!how many liters of a 10% alcohol solution must be mixed with 50 L of a 90% solution to get a 50% solution? -------------- 50 is the average of 10 & 90, so it's equal amounts.
 Angles/655639: can you please help me ? i need to find the distance between (-8,-4) and (-3,0). Round the answer to the tenths place.1 solutions Answer 409221 by Alan3354(30993)   on 2012-09-23 11:56:02 (Show Source): You can put this solution on YOUR website!i need to find the distance between (-8,-4) and (-3,0). Round the answer to the tenths place. ------------- diffy = difference in y, etc
 Polynomials-and-rational-expressions/655628: Can you help me find what "w" is in this equation 1/x+1/w=1/y I understand to multiply by the least common denominator but I am lost after that. Thanks1 solutions Answer 409215 by Alan3354(30993)   on 2012-09-23 11:25:56 (Show Source): You can put this solution on YOUR website!1/x+1/w=1/y 1/w = 1/y - 1/x = (x-y)/xy Invert w = xy/(x-y)
 Equations/655632: Please help! Solve by elimination: -4x+3y=-1 8x+6y=14 Thank you so much!! Trying to help my daughter with her homework and not remembering at all how to do these. 1 solutions Answer 409213 by Alan3354(30993)   on 2012-09-23 11:24:33 (Show Source): You can put this solution on YOUR website!Solve by elimination: -4x+3y=-1 8x+6y=14 Divide by 2 --------------- -4x+3y=-1 4x+3y = 7 ----------- Add 0x + 6y = 6 y = 1 -------- 4x+3y = 7 4x + 3 = 7 4x = 4 x = 1
 Exponential-and-logarithmic-functions/655584: 3^m+1-3^m=54 m^m=?1 solutions Answer 409196 by Alan3354(30993)   on 2012-09-23 09:05:15 (Show Source): You can put this solution on YOUR website!3^m+1-3^m=54 m^m=? --------------- 3^m+1-3^m=54 If the 1st exponent is m+1: 3^m*(3 - 1) = 54 2*3^m = 54 3^m = 27 m = 3 ------- 3^3 = 27
 Travel_Word_Problems/655554: Please I need the answer for this! A Train left the station at 9 a.m. traveling at 50 mph, At 11 a.m., an airplane left the same place in the same direction at 175 mph. At what time did the plane overtake he train?1 solutions Answer 409193 by Alan3354(30993)   on 2012-09-23 08:57:53 (Show Source): You can put this solution on YOUR website!A Train left the station at 9 a.m. traveling at 50 mph, At 11 a.m., an airplane left the same place in the same direction at 175 mph. At what time did the plane overtake he train? ------------- In 2 hours, the train is 100 miles away (d = r*t = 50*2) The plane gains on the train at 75 mi/hr (175 - 100) ==== More precisely, the speed of the plane wrt (with respect to) the train is 75 mi/hr ----------- t = d/r = 100/75 = 4/3 hours = 1 hr 20 mins 1100 + 1:20 = 12:20 PM
 Linear-equations/655541: Use the formula d=5t^2 + V0t(It V sub 0) to find the time it takes an object dropped from a height of 125 meters to hit the ground. I answered it like this: 125 m = 5t^2 - I didn't include V0t since it is equal to 0 125 m/5 = 5t^2/5 25 m = t^2 - I used square root t = 5. 1 solutions Answer 409192 by Alan3354(30993)   on 2012-09-23 08:55:18 (Show Source): You can put this solution on YOUR website!Use the formula d=5t^2 + V0t(It V sub 0) to find the time it takes an object dropped from a height of 125 meters to hit the ground. I answered it like this: 125 m = 5t^2 - I didn't include V0t since it is equal to 0 125 m/5 = 5t^2/5 25 m = t^2 - I used square root t = 5. =============== You're correct. -----
 Problems-with-consecutive-odd-even-integers/655586: Three consecutive odd integers are such that the sum of the first and the third is 70. Find the integers.1 solutions Answer 409190 by Alan3354(30993)   on 2012-09-23 08:51:02 (Show Source): You can put this solution on YOUR website!Three consecutive odd integers are such that the sum of the first and the third is 70. Find the integers. ------------------- Call them n-2, n & n+2 Add the 1st & 3rd, find n.
 Percentage-and-ratio-word-problems/655493: There are eight pieces of pizza. Justin ate five-eights of the pizza for dinner. He ate one-fourth of the pizza for a bedtime snack. How much of the pizza has he eaten in all?1 solutions Answer 409186 by Alan3354(30993)   on 2012-09-23 08:34:07 (Show Source): You can put this solution on YOUR website!There are eight pieces of pizza. Justin ate five-eights of the pizza for dinner. He ate one-fourth of the pizza for a bedtime snack. How much of the pizza has he eaten in all? =============== 5/8 + 1/4 = 5/8 + 2/8 = 7/8
 Human-and-algebraic-language/655559: I need help!!! 2 problems. I don't get word problems at all. 1) It takes Molly 5 minutes longer to dig a hole that it takes Holly. If they dig the hole together, it takes them 6 minuites. How long would it take Molly to dig a hole by herself? (round to nearest tenth) 2) Willie paddled 12 miles up the creek and then paddled 12 miles back. If the speed of the current was 3mph and the total trip took 4 hours, what was Willie's speed? Thanks, Kenny klhopen@gmail.com1 solutions Answer 409184 by Alan3354(30993)   on 2012-09-23 08:29:00 (Show Source): You can put this solution on YOUR website!1) It takes Molly 5 minutes longer to dig a hole that it takes Holly. If they dig the hole together, it takes them 6 minuites. How long would it take Molly to dig a hole by herself? (round to nearest tenth) ------------------- Molly takes m minutes to dig the hole alone. Holly takes h minutes... "It takes Molly 5 minutes longer to dig a hole that it takes Holly" --> m = h+5 ------ Molly digs the hole in m minutes, so each minute she digs 1/m of the hole Holly digs 1/h of the hole. Together, they dig 1/m + 1/h of the hole, and it takes them 6 minutes. --> 1/m + 1/h = 1/6 ---------------------- Now it's not a "word problem." 1/m + 1/h = 1/6 m = h+5 --------- 1/m + 1/h = 1/6 Multiply thru by 6mh to eliminate the fractions. 6h + 6m = h*m Sub for m in the 1st equation 6h + 6(h+5) = h*(h+5) 6h + 6h+30 = h^2 + 5h (h - 10)*(h + 3) = 0 h = -3 Ignore, they can't do it in -3 minutes. h = 10 minutes Holly's time alone --------- m = h+5 = 15 minutes Molly's time alone. ======================= That's a complex problem, don't feel bad about needing help. =============================================== 2) Willie paddled 12 miles up the creek and then paddled 12 miles back. If the speed of the current was 3mph and the total trip took 4 hours, what was Willie's speed? ---------- w = Willie's paddling speed c = speed of current = 3 mi/hr Upstream, he moved at (w-c) mi/hr Downstream, it's (w+c) mi/hr ---------- d = r*t t = d/r t = 12/(w-3) + 12/(w+3) = 4 12/(w-3) + 12/(w+3) = 4 Can you finish that?
 percentage/655578: what is £35 - 10% what is £92 - 10% what is add 4% to £8 12300 add 4%1 solutions Answer 409183 by Alan3354(30993)   on 2012-09-23 08:13:11 (Show Source): You can put this solution on YOUR website!what is £35 - 10% 10% - 0.10 = 35 - 0.10*35 = 0.9*35 = 31.5 ================= what is £92 - 10% Same as above. ================== what is add 4% to £8 4% = 0.04 = 8 + 0.04*8 = 1.04*8 ---------------- 12300 add 4% Same as above.
 �t�e�s�t/655580: How do i simplify 7y^6(4x^3y^2)(4/7x^4y^2) ? 1 solutions Answer 409182 by Alan3354(30993)   on 2012-09-23 08:08:41 (Show Source): You can put this solution on YOUR website!How do i simplify 7y^6(4x^3y^2)(4/7x^4y^2) ------------ Cancel anything in both the NUM and the DEN eg, the 7's = the y^2 = Combine things = Cancel x^3 = That's it. You can do the steps in any order, doesn't matter.
 Surface-area/655499: HELP, PLEASE! The diameter of the circle is (x+2) units. Express the area of the square in the figure as a polynomial. http://i50.tinypic.com/2j2vt5l.png < theres a picture if you need to see a visual THANK YOU!1 solutions Answer 409151 by Alan3354(30993)   on 2012-09-22 21:50:58 (Show Source): You can put this solution on YOUR website!The diameter of the circle is (x+2) units. Express the area of the square in the figure as a polynomial. http://i50.tinypic.com/2j2vt5l.png < theres a picture if you need to see a visual ============== The diameter = the sides of the square. sq units
 Surface-area/655441: The surface area a sphere is 5025 mm squared what are the missing dimensions to the nearest tenth of square unit.1 solutions Answer 409146 by Alan3354(30993)   on 2012-09-22 21:12:15 (Show Source): You can put this solution on YOUR website!The surface area a sphere is 5025 mm squared what are the missing dimensions to the nearest tenth of square unit. ----------------- "square unit" implies area, which is given. Area is given, = 5025 sq mms
 Exponents/655477: what is the simplest form of equation 1/(m+n)^3 - 1/m^3 / n1 solutions Answer 409144 by Alan3354(30993)   on 2012-09-22 21:10:02 (Show Source): You can put this solution on YOUR website!what is the simplest form of equation 1/(m+n)^3 - 1/m^3 / n ----------- What equation? No equation is shown.
 expressions/655465: Four more than the product of a number and 7 is equal to 3.1 solutions Answer 409142 by Alan3354(30993)   on 2012-09-22 20:40:57 (Show Source): You can put this solution on YOUR website!Four more than the product of a number and 7 is equal to 3. ------------ That's interesting. Do you have a question?
 Triangles/655472: Using pythagoras theorem find whether side 3, 4, 5, are side of right angled triangles1 solutions Answer 409141 by Alan3354(30993)   on 2012-09-22 20:39:53 (Show Source): You can put this solution on YOUR website!Using pythagoras theorem find whether side 3, 4, 5, are side of right angled triangles. ---------------- OK. What do you think should be done? What is the Pythagoras Theorem?
 test/655439: Find the measures of the angles of the triangle? (2x+1) (5/2x+3) x1 solutions Answer 409139 by Alan3354(30993)   on 2012-09-22 19:50:40 (Show Source): You can put this solution on YOUR website!Find the measures of the angles of the triangle? (2x+1) (5/2x+3) x ============== What triangle?
 Equations/655460: I am trying to find out how to find an ordered pair to the equation y=9-3x where do I start1 solutions Answer 409138 by Alan3354(30993)   on 2012-09-22 19:47:42 (Show Source): You can put this solution on YOUR website!I am trying to find out how to find an ordered pair to the equation y=9-3x where do I start ----------- Pick a value for x and find y. @ x = 0, y = 9 --> (0,9) --------- @ x = 1, y = 6 --> (1,6) etc
 Geometry_proofs/655373: 1 solutions Answer 409132 by Alan3354(30993)   on 2012-09-22 19:05:27 (Show Source): You can put this solution on YOUR website!I am having trouble proving parallel lines by proofs ---------------- I am having trouble making sense of that statement.
 Expressions-with-variables/655384: solve using the multiplication principle -3.7x+74.0 the solution x=1 solutions Answer 409130 by Alan3354(30993)   on 2012-09-22 19:03:57 (Show Source): You can put this solution on YOUR website! solve using the multiplication principle -3.7x+74.0 --------------- Solve what? Equations are solved. No equation is given.
 Polynomials-and-rational-expressions/655428: Please help me factor this out completely 4x^2+12xy+9x^21 solutions Answer 409127 by Alan3354(30993)   on 2012-09-22 19:01:50 (Show Source): You can put this solution on YOUR website!Please help me factor this out completely 4x^2+12xy+9x^2 ----------- =
 Travel_Word_Problems/655413: Your friend flew to Miami in a plane that averaged 600 mi/h. She drove back home, averaging 50 mi/h. What is her average speed in miles per hour for the whole trip? Assume the distances by plane and car are equal.1 solutions Answer 409108 by Alan3354(30993)   on 2012-09-22 18:10:19 (Show Source): You can put this solution on YOUR website!Your friend flew to Miami in a plane that averaged 600 mi/h. She drove back home, averaging 50 mi/h. What is her average speed in miles per hour for the whole trip? Assume the distances by plane and car are equal. -------------- Avg speed = 2*600*50/(600 + 50) (proof available) = 60000/650 =~ 92.3077 mi/hr
 Quadratic_Equations/655407: finding the area of a triangle that is 1 1/4yards and height 4/7 yard 1 solutions Answer 409105 by Alan3354(30993)   on 2012-09-22 18:07:42 (Show Source): You can put this solution on YOUR website!finding the area of a triangle that is 1 1/4yards and height 4/7 yard ============ Area = b*h/2
 test/655415: t+t/2=61 solutions Answer 409103 by Alan3354(30993)   on 2012-09-22 18:06:48 (Show Source): You can put this solution on YOUR website!t+t/2=6 ========== If you mean Multiply thru by 2 to eliminate fractions 2t + t = 12 3t = 12 t = 4
 Graphs/651585: If 2 points are given such as (-2,7) and (-8,-2), how do you find the y intercept. I know how to find the slope by doing x^2 - x^1/ y^2 - y^1, but I forgot how to find the y intercept. So far, for this equation I have y=2/3x + what1 solutions Answer 407738 by Alan3354(30993)   on 2012-09-14 22:40:40 (Show Source): You can put this solution on YOUR website!If 2 points are given such as (-2,7) and (-8,-2), how do you find the y intercept. I know how to find the slope by doing x^2 - x^1/ y^2 - y^1, but I forgot how to find the y intercept. -------------- Slope m = 3/2, not 2/3 m = diffy/diffx, not x in the numerator. ----- Then use y = mx + b and either point Using (-2,7): 7 = (3/2)*-2 + b b = 4 ------ --> y = 3x/2 + 4