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# Recent problems solved by 'Alan3354'

Alan3354 answered: 30963 problems
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 Triangles/743154: I KNOW THE THREE SIDES OF A TRIANGLE WHAT ARE THE ANGLES 87" 42" 42"1 solutions Answer 452769 by Alan3354(30983)   on 2013-04-29 15:59:14 (Show Source): You can put this solution on YOUR website!I KNOW THE THREE SIDES OF A TRIANGLE WHAT ARE THE ANGLES 87" 42" 42" ------------------ Use the Cosine Law to find the angles. I don't know what you mean by 87 42 42
 logarithm/742889: what is the value of y in log y=3.0? answer in 2 decimal places1 solutions Answer 452674 by Alan3354(30983)   on 2013-04-28 21:35:52 (Show Source): You can put this solution on YOUR website!what is the value of y in log y=3.0? ------ log(y) = 3 y = 10^3 y = 1000
 Rectangles/742861: Can someone help me the area is 176cm squared and the perimeter 60cm1 solutions Answer 452651 by Alan3354(30983)   on 2013-04-28 19:32:29 (Show Source): You can put this solution on YOUR website!Can someone help me the area is 176cm squared and the perimeter 60cm ---------- L*W = 176 L + W = 30 ------------ Find a pair of factors of 176 with a sum of 30.
 Trigonometry-basics/742856: An airplane traveling at 225 mph is descending at an angle of 5 degrees. How many miles will the plane decrease in altitude in 7 minutes? After getting the question wrong on my practice test I was able to see that the answer was 2.3 How is this answer possible? I got 1726.1 solutions Answer 452649 by Alan3354(30983)   on 2013-04-28 19:30:07 (Show Source): You can put this solution on YOUR website!An airplane traveling at 225 mph is descending at an angle of 5 degrees. How many miles will the plane decrease in altitude in 7 minutes? ---------- Vertical speed = 225*sin(5) = 19.61 mi/hr change = 19.61 mi/hr * (1/60) hr/min * 7 min =~ 2.2878 miles
 Travel_Word_Problems/742615: A truck completed a journey of 48 kilometres at an average speed of 64 km/h. How many minutes did the journey take ?1 solutions Answer 452621 by Alan3354(30983)   on 2013-04-28 09:50:27 (Show Source): You can put this solution on YOUR website!A truck completed a journey of 48 kilometres at an average speed of 64 km/h. How many minutes did the journey take ? ----------- d = r*t t = d/r = 48/64 hours t = 3/4 hour t = (3/4) hr*60 min/hr t = 45 minutes
 Linear_Algebra/742648: Evaluate -(-6)^2. Please help very confused with this!1 solutions Answer 452620 by Alan3354(30983)   on 2013-04-28 09:48:14 (Show Source): You can put this solution on YOUR website!Evaluate -(-6)^2 ---------- = = = -1*(1*36) = -1*36 = -36
 Miscellaneous_Word_Problems/742484: If i want to cut 40 yards three times each a month how can i arrange them 1 solutions Answer 452570 by Alan3354(30983)   on 2013-04-27 19:50:48 (Show Source): You can put this solution on YOUR website!If i want to cut 40 yards three times each a month how can i arrange them ------------ Arrange them by location to minimize travel time.
 t e s t/742564: If Please help me with this one. Thanks.1 solutions Answer 452567 by Alan3354(30983)   on 2013-04-27 19:47:39 (Show Source): You can put this solution on YOUR website!If find Q(-2) ------------- Sub -2 for x Q(-2) = (-2)^3 - 2*-2 + 1 = -8 + 4 + 1 = -3
 �t�e�s�t/742476: 7 1/8 -3 1/6= (a)4 1/48 (b)-2 3/5 (c)3 23/24 (d)2 3/5 (e)none of these1 solutions Answer 452541 by Alan3354(30983)   on 2013-04-27 17:38:44 (Show Source): You can put this solution on YOUR website!7 1/8 -3 1/6= --------------- change to improper fractions Find a common denominator (the product always works, 6*8) Subtract
 Linear-equations/742535: what is the answer to this equasion? y=-2/3x+31 solutions Answer 452538 by Alan3354(30983)   on 2013-04-27 17:34:08 (Show Source): You can put this solution on YOUR website!what is the answer to this equasion? y=-2/3x+3 ======= Equations are solved. eg, solve for x. This one is solved for y. Questions are answered.
 Equations/742532: if (a/b)^(x-1)=(b/a)^(x-3) then x=?1 solutions Answer 452533 by Alan3354(30983)   on 2013-04-27 17:25:52 (Show Source): You can put this solution on YOUR website!if (a/b)^(x-1)=(b/a)^(x-3) ---------- (a/b)^(x-1)=(a/b)^(3-x) x-1 = 3-x 2x = 4 x = 2 --------- a <> 0 b <> 0
 �t�e�s�t/742475: 3 1/2+ 4 3/4+ 5 3/10 (a)12 7/16 (b)13 11/20 (c)16/33 (d)12 9/80 (e)none of these 1 solutions Answer 452508 by Alan3354(30983)   on 2013-04-27 15:41:46 (Show Source): You can put this solution on YOUR website!3 1/2+ 4 3/4+ 5 3/10 ---------------- change to improper fractions. Find a common denominator. Add them
 Percentage-and-ratio-word-problems/742505: Frances left a 21% tip on a meal. Including the tip it's cost was \$25.41. What was the cost of the meal before the tip?1 solutions Answer 452507 by Alan3354(30983)   on 2013-04-27 15:38:45 (Show Source): You can put this solution on YOUR website!Frances left a 21% tip on a meal. Including the tip it's [sic] cost was \$25.41. What was the cost of the meal before the tip? M + M*0.21 = 2541 1.21M = 2541 M = 2541/1.21 M = \$20.99 ----------- it's = it is
 �t�e�s�t/742474: 1/4+5/8+7/10= (a)14/18 (b)13/22 (c)1.325 (d)1.575 (e)none of these1 solutions Answer 452506 by Alan3354(30983)   on 2013-04-27 15:34:37 (Show Source): You can put this solution on YOUR website!1/4+5/8+7/10 ----------------- find a common denominator. The product always works 4*8*10 = 320 80/320 + 200/320 + 224/320 = 504/320 = 63/40 = 1.575 (a)14/18 (b)13/22 (c)1.325 (d)1.575 (e)none of these
 logarithm/742504: Express as a sum of logarithms log2 (268*151)1 solutions Answer 452505 by Alan3354(30983)   on 2013-04-27 15:30:20 (Show Source): You can put this solution on YOUR website!Express as a sum of logarithms log2 (268*151) ------------- Logs are exponents. Multiplying --> adding exponents or logs. =
 �t�e�s�t/742492: (3-y)(3+y)= (a)9-y^2 (b)9+y^2 (c)9+6y+y^2 (d)9-6y+y^2 (E)none 1 solutions Answer 452504 by Alan3354(30983)   on 2013-04-27 15:26:39 (Show Source): You can put this solution on YOUR website!(3-y)(3+y)= (a)9-y^2 (b)9+y^2 (c)9+6y+y^2 (d)9-6y+y^2 (E)none ------------- You can use (a-b)*(a+b) = a^2 - b^2 Or you can multiply it.
1 solutions

Answer 452502 by Alan3354(30983)   on 2013-04-27 15:23:08 (Show Source):
You can put this solution on YOUR website!
Use the quadratic formula. 9x^2-12x+4=0
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 Solved by pluggable solver: SOLVE quadratic equation with variable Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=0 is zero! That means that there is only one solution: . Expression can be factored: Again, the answer is: 0.666666666666667, 0.666666666666667. Here's your graph:

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x = 2/3, 2/3

 �t�e�s�t/742497: x=|-4-5| (a)-9 (b)9 (c)1 (d)-1 (e)none1 solutions Answer 452498 by Alan3354(30983)   on 2013-04-27 15:08:07 (Show Source): You can put this solution on YOUR website!x=|-4-5| x = |-9| Abs value is the distance from zero. x = 9 ============= (a)-9 (b)9 (c)1 (d)-1 (e)none
 logarithm/742456: 10^log5x1 solutions Answer 452497 by Alan3354(30983)   on 2013-04-27 15:06:45 (Show Source): You can put this solution on YOUR website! = 5x
 Signed-numbers/742454: Hello I am just starting back to school and it has been a long time since I've had to do any math problems, let alone Pre-Algebra. I am learning to perform the Order of Operations. I am using the P,E,M,D,A,S method. My problem is... (-36 / 6) - (4 / 4) so far I have this -36 4____ But should'nt 4/4=1, -36/6=6 or = to 1 6 41 solutions Answer 452470 by Alan3354(30983)   on 2013-04-27 12:50:04 (Show Source): You can put this solution on YOUR website! (-36 / 6) - (4 / 4) 4/4 = 1 -36/6 = -6 ----------- = -6 - 1 = -7
test/742354: Solve the equation by completing the square: 4x^2 - 17x + 24 = 0
1 solutions

Answer 452462 by Alan3354(30983)   on 2013-04-27 11:29:06 (Show Source):
You can put this solution on YOUR website!
Solve the equation by completing the square: 4x^2 - 17x + 24 = 0
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4x^2 - 17x + 24 = 0
4x^2 - 17x = -24
x^2 - (17/4)x = -6
c to added = (b/2a)^2 = (17/8)^2
c = 289/64
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x^2 - (17/4)x + 289/64 = -6 + 289/64 = -95/64
(x - 17/8)^2 = -95/64

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 Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . The discriminant -95 is less than zero. That means that there are no solutions among real numbers. If you are a student of advanced school algebra and are aware about imaginary numbers, read on. In the field of imaginary numbers, the square root of -95 is + or - . The solution is , or Here's your graph:

 Probability-and-statistics/742431: A man and his wife are each the weight of a full cart. They have two children, each weighing half of a cart. They need to cross a river, but the boat can only carry the weight of one cart. Devise a plan to get everyone across the river so that the boat does not sink. There must always be someone rowing the boat. 1 solutions Answer 452461 by Alan3354(30983)   on 2013-04-27 11:22:24 (Show Source): You can put this solution on YOUR website!A man and his wife are each the weight of a full cart. They have two children, each weighing half of a cart. They need to cross a river, but the boat can only carry the weight of one cart. Devise a plan to get everyone across the river so that the boat does not sink. There must always be someone rowing the boat. ---------------- The 2 kids row over, 1 rows back. The man rows over, the kid rows back. The 2 kids row over again, 1 rows back. The woman rows over, the kid rows back. The 2 kids row over.
 Travel_Word_Problems/742210: how long would it take for me to get to....Sandy Glade Holiday Park Coast Road Berrow Burnham-on-Sea Somerset TA8 2QX from wv14 8hn1 solutions Answer 452327 by Alan3354(30983)   on 2013-04-26 13:49:36 (Show Source): You can put this solution on YOUR website!how long would it take for me to get to....Sandy Glade Holiday Park Coast Road Berrow Burnham-on-Sea Somerset TA8 2QX from wv14 8hn ============= d = distance r = rate or speed --- d = r*t t = d/r
 Volume/742203: If the smaller cone has a volume of 343 cubic feet, what is the volume of the larger cone? 1 solutions Answer 452325 by Alan3354(30983)   on 2013-04-26 13:48:06 (Show Source): You can put this solution on YOUR website!If the smaller cone has a volume of 343 cubic feet, what is the volume of the larger cone? -------------- More than 343 cu ft
 logarithm/742182: Solve a) 3^x =2 b) 4^x-5 c) 7^(-x)=3 d) 3^(1-x) = 5 e) (1/8)^x = 25 f) 5^(3x) =41 Can you please help me out? thanks so much in advance:) Can you show the work too because I will understand better thankyou:)1 solutions Answer 452306 by Alan3354(30983)   on 2013-04-26 11:43:18 (Show Source): You can put this solution on YOUR website!Solve a) 3^x =2 b) 4^x-5 c) 7^(-x)=3 d) 3^(1-x) = 5 e) (1/8)^x = 25 f) 5^(3x) =41 ------ These are all similar. I'll do the "hardest" ones. Solve a) 3^x =2 b) 4^x-5 No equal sign c) 7^(-x)=3 d) 3^(1-x) = 5 (1-x)*log(3) = log(5) 1-x = log(5)/log(3) ----------------- e) (1/8)^x = 25 x*log(1/8) = log(25) x = log(25)/log(1/8) x =~ -1.54795 ----------------- f) 5^(3x) =41
 Radicals/742194: 512m to the third power1 solutions Answer 452305 by Alan3354(30983)   on 2013-04-26 11:38:27 (Show Source): You can put this solution on YOUR website!512m to the third power ----------- What about it?
 Volume/742192: what is p 8p − 12 = 4(2p − 12)1 solutions Answer 452304 by Alan3354(30983)   on 2013-04-26 11:37:49 (Show Source): You can put this solution on YOUR website!8p - 12 = 4(2p - 12) 8p - 12 = 8p - 48 -12 = -48 ---------- No solution.
 logarithm/742181: Solve to the nearest thousand a) 2^x=11 b) 3^x=11 c) 5^(x-1)=9 d) 5^(1+x) = 2^(1-x) Can you please help me out? thanks so much in advance:)1 solutions Answer 452303 by Alan3354(30983)   on 2013-04-26 11:32:14 (Show Source): You can put this solution on YOUR website!Solve to the nearest thousand a) 2^x=~ 11 ------------------- x*log(2) = log(11) x = log(11)/log(2) x =~ 3.45943 To the nearest 1000, x = 0 ------------ b) 3^x=11 Do it like the 1st one. --------------------- c) 5^(x-1)=9 (x-1)*log(5) = log(9) ------------------ d) 5^(1+x) = 2^(1-x) Same as above.
 Rational-functions/742105: The speed of a boat in still water is 8 km/h. It travels 60 km upstream and 60 km downstream in a total time of 16 hours. What is the speed of the stream?1 solutions Answer 452297 by Alan3354(30983)   on 2013-04-26 10:46:06 (Show Source): You can put this solution on YOUR website!The speed of a boat in still water is 8 km/h. It travels 60 km upstream and 60 km downstream in a total time of 16 hours. What is the speed of the stream? ------------- Avg speed of a round trip = 2*r1*r2/(r1+r2) = 120/16 = 7.5 2*(8-c)*(8+c)/16 = 7.5 c = 2 km/hr
 test/742152: 6-9i ------- 3i1 solutions Answer 452295 by Alan3354(30983)   on 2013-04-26 10:35:32 (Show Source): You can put this solution on YOUR website!6-9i ------- 3i ============== = (2 - 3i)/i = i*(2 - 3i)/i^2 = (2i - 3i^2)/-1 = 3i^2 - 2i = -3 - 2i
 Angles/742175: Can anyone help me? I've been stuck on this problem for days now: "Find the measure of an angle if its measure is four times the measure of its complement." 1 solutions Answer 452294 by Alan3354(30983)   on 2013-04-26 10:32:48 (Show Source): You can put this solution on YOUR website!"Find the measure of an angle if its measure is four times the measure of its complement." ----------- Angle + complement = 90 degs A + C = 90 A = 4C 4C + C = 90 5C = 90 C = 18 A = 90 - 18 Angle = 72 degs