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# Recent problems solved by 'Alan3354'

Alan3354 answered: 31497 problems
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 Trigonometry-basics/754884: A group of students are bushwalking. They walk north from their camp for 7.5 km, then walk west until their bearing from camp is 320c. How far are they from camp, to 1 decimal place?1 solutions Answer 459368 by Alan3354(31518)   on 2013-06-03 07:09:04 (Show Source): You can put this solution on YOUR website!A group of students are bushwalking. They walk north from their camp for 7.5 km, then walk west until their bearing from camp is 320c. How far are they from camp, to 1 decimal place? ----------- The interior angle of the right triangle is 40 degs cos(40) = 7.5/d d = 9.8 km
 Volume/754791: I need to find the volume of a square pyramid with a side length of 12 ft and a height of 21 ft 1 solutions Answer 459328 by Alan3354(31518)   on 2013-06-02 22:40:45 (Show Source): You can put this solution on YOUR website!I need to find the volume of a square pyramid with a side length of 12 ft and a height of 21 ft ------------- Base area = 12*12 = 144 sq ft Volume = BA*h/3 (same as a cone) Vol = 144*21/3 Vol = 1008 cu ft
 Graphs/754810: I need help! I have been trying to solve this for 2 hours! Shade the solution set to the system of inequalities: x <= -1 y < 3x (Graph) THANK YOU!!1 solutions Answer 459325 by Alan3354(31518)   on 2013-06-02 22:30:16 (Show Source): You can put this solution on YOUR website!Shade the solution set to the system of inequalities: x <= -1 y < 3x =========== dl the FREE graph software at http://www.padowan.dk --------- Use F6 Enter x <= -1 and y < 3x as one line
 Volume/754809: A hemisphere has a base with an area that is 25 pie square centimeters what would the volume be?1 solutions Answer 459322 by Alan3354(31518)   on 2013-06-02 22:26:56 (Show Source): You can put this solution on YOUR website!A hemisphere has a base with an area that is 25 pie square centimeters what would the volume be? ---------- The base is a circle. r = 5 cm -------- for half of a sphere ----- PS It's the Greek letter pi, not the dessert, pie.
 Permutations/754819: I'm having trouble with the question: "You must divide 10 students into 2 teams. How many ways cam they form the team?" I've tried using: 10C2 1 solutions Answer 459319 by Alan3354(31518)   on 2013-06-02 22:22:56 (Show Source): You can put this solution on YOUR website!"You must divide 10 students into 2 teams. How many ways cam they form the team?" -------- Assuming there are 5 on each team: Pick a team of 5, and whoever's left is the other team. ----- --> 10*9*8*7*6 = 30240 If the team members are interchangeable, then divide by 5! 30240/120 = 252 ---- Then, each team could be the 5 chosen or the 5 not chosen, so divide by 2 --> 126 ways.
 logarithm/754806: solve for x 3^(x-7)=14^(2x) write the exact answer using base-10 logarithms1 solutions Answer 459308 by Alan3354(31518)   on 2013-06-02 21:12:09 (Show Source): You can put this solution on YOUR website!solve for x 3^(x-7)=14^(2x) solve for x (x-7)*log(3) = 2x*log(14) x*log(3) - 7log(3) = 2x*log(14) xlog(3) - 2x*log(14) = 7log(3) x*(log(3) - 2log(14)) = 7log(3) -------------- also, x = ln(2187)/ln(3/196) or logs to any matching bases
 test/754789: 4^4x-5=8^3x-41 solutions Answer 459303 by Alan3354(31518)   on 2013-06-02 20:07:24 (Show Source): You can put this solution on YOUR website! 256x - 5 = 512x - 4 256x = -1 x = -1/256
 Polynomials-and-rational-expressions/754766: How do I divide x^8+x^4/x? I keep getting x^8+x^3 and I do not think that is right...is that right? ugh thanks in advance1 solutions Answer 459302 by Alan3354(31518)   on 2013-06-02 20:05:27 (Show Source): You can put this solution on YOUR website!How do I divide x^8+x^4/x? ---- If you mean If you mean Use parentheses.
 logarithm/754700: log3x+log x=101 solutions Answer 459288 by Alan3354(31518)   on 2013-06-02 18:16:33 (Show Source): You can put this solution on YOUR website!log3x+log x=10 log(3x*x) = log(10^10) ----------- Ignore the negative value due to the logs.
 Triangles/754698: the sides of a triangle have lengths x, 5x and 25 if the longest side is 25, what value of x makes the triangle a right triangle? i have done this so far: x^2+5x^2=25^2 x^2+25x=6251 solutions Answer 459287 by Alan3354(31518)   on 2013-06-02 18:12:45 (Show Source): You can put this solution on YOUR website!the sides of a triangle have lengths x, 5x and 25 if the longest side is 25, what value of x makes the triangle a right triangle? i have done this so far: x^2+5x^2=25^2 ****** x^2 + (5x)^2 = 25^2 x^2+25x=625 *** x^2 + 25x^2 = 625 26x^2 = 625 x =~ 4.9029
 Linear-equations/754746: A line has a vertical change per unit of horizontal change of 5/2 and passes through point ( 1, 1 ). Which is another point on the line? 1 solutions Answer 459285 by Alan3354(31518)   on 2013-06-02 18:06:19 (Show Source): You can put this solution on YOUR website!A line has a vertical change per unit of horizontal change of 5/2 and passes through point ( 1, 1 ). Which is another point on the line? ---------- Add 5n to y and 2n to x (1,1) --> (1+5,1+2) = (6,3) (1+25,1+10) = (26,11) etc
 expressions/754695: Please can you explain to me how to do this equation step by step. a=-1 and b=5 (ab)^21 solutions Answer 459264 by Alan3354(31518)   on 2013-06-02 15:46:23 (Show Source): You can put this solution on YOUR website!Please can you explain to me how to do this equation step by step. a=-1 and b=5 (ab)^2 -------------- Do what? To what equation?
 Square-cubic-other-roots/754655: how can i solve 2/8^1/61 solutions Answer 459230 by Alan3354(31518)   on 2013-06-02 13:21:25 (Show Source): You can put this solution on YOUR website!how can i solve 2/8^1/6 ------------- Equations are solved. This is not an equation, there's no equal sign. ------ = =
 Miscellaneous_Word_Problems/754628: a dishonest dealer uses a scale of 90 cm instead of a meter scale and claims to sell at cost price. his profit is.? (a) 10.33% (b) 11.11% (c) 9% (d) 10%1 solutions Answer 459227 by Alan3354(31518)   on 2013-06-02 13:04:56 (Show Source): You can put this solution on YOUR website!a dishonest dealer uses a scale of 90 cm instead of a meter scale and claims to sell at cost price. his profit is.? -------- 1/9 = 11.11%
 Word_Problems_With_Coins/754615: A piggy bank contains exactly \$50 in \$1 and \$2 coins. Fanny counted 30 coins. Frank counted 31 coins. Who's right?1 solutions Answer 459219 by Alan3354(31518)   on 2013-06-02 12:39:30 (Show Source): You can put this solution on YOUR website!A piggy bank contains exactly \$50 in \$1 and \$2 coins. Fanny counted 30 coins. Frank counted 31 coins. Who's right? ============= Either could be right.
 Numbers_Word_Problems/754635: Algebra- Here is a solution to this problem. Where is the mistake? Correct it and give the right answer. 3(y + 4) -42= 2y + 3(y+4) +10 3y +12-42=2y +3y +12 +10 3y -30 =5y +22 3y -30 +30 = 5y +22 -30 3y =5y -8 3y -5y =5y - 5y -8 -2y/-2 = -8/-2 y=-41 solutions Answer 459217 by Alan3354(31518)   on 2013-06-02 12:37:57 (Show Source): You can put this solution on YOUR website!Here is a solution to this problem. Where is the mistake? Correct it and give the right answer. 3(y + 4) -42 = 2y + 3(y+4) +10 3y +12-42 = 2y +3y +12 +10 3y -30 = 5y + 22 3y -30 +30 = 5y +22 -30 ****** 30 added to one side, -30 to the other. ======================= 3y =5y -8 3y -5y =5y - 5y -8 -2y/-2 = -8/-2 y=-4
 Travel_Word_Problems/754612: a car travels 35km in 1.5h. What's the car's average velocity? My question is which equation do you use for this problem? 1 solutions Answer 459205 by Alan3354(31518)   on 2013-06-02 10:34:27 (Show Source): You can put this solution on YOUR website!a car travels 35km in 1.5h. What's the car's average velocity? My question is which equation do you use for this problem? ---------- d = r*t r = d/t
 Rational-functions/754547: I need to make a graph, so I need at least 4 points from this 1 solutions Answer 459204 by Alan3354(31518)   on 2013-06-02 10:17:45 (Show Source): You can put this solution on YOUR website!I need to make a graph, so I need at least 4 points from this ------------- Pick values for x and find y. Do as many as you need or like.
 Trigonometry-basics/754594: To the nearest ten minutes, find all values of x in the interval 0 (less than or equal to) x (less than or equal to) 360 that satisfy the equation: 1 solutions Answer 459195 by Alan3354(31518)   on 2013-06-02 09:23:04 (Show Source): You can put this solution on YOUR website!To the nearest ten minutes, find all values of x in the interval 0 (less than or equal to) x (less than or equal to) 360 that satisfy the equation: ----------- Sub u for sec(x), solve the quadratic. Then find x
 Equations/754591: Solve the following simultaneous equation: p=5q-4 p=8q-101 solutions Answer 459194 by Alan3354(31518)   on 2013-06-02 09:21:53 (Show Source): You can put this solution on YOUR website!Solve the following simultaneous equation: p=5q-4 p=8q-10 ------------- since they both equal p, 5q-4 = 8q-10 ------------ etc
 test/754587: Determine if the graphs out the given equation are parallel Y=2x + 3 5y +2x=41 solutions Answer 459188 by Alan3354(31518)   on 2013-06-02 08:34:25 (Show Source): You can put this solution on YOUR website!Determine if the graphs out the given equation are parallel Y=2x + 3 5y +2x=4 --------------- If the slopes are equal, they're parallel.
 test/754572: Haried18@Gmail.com1 solutions Answer 459187 by Alan3354(31518)   on 2013-06-02 08:33:13 (Show Source):
 Travel_Word_Problems/754589: a ship travels 6 km due South, 5 km due East and then 4 km due South. How far is it from its starting point?1 solutions Answer 459186 by Alan3354(31518)   on 2013-06-02 08:32:25 (Show Source): You can put this solution on YOUR website!a ship travels 6 km due South, 5 km due East and then 4 km due South. How far is it from its starting point? ------------ It's 10 km south and 5 km east. It's a right triangle. Find the hypotenuse.
 Expressions-with-variables/754571: Please help me to solve the following question. This question is from a text book for secondary general math. If p = 3 + 1/P, then prove that p^4 = 119 - 1/P^4 1 solutions Answer 459185 by Alan3354(31518)   on 2013-06-02 08:31:27 (Show Source): You can put this solution on YOUR website!If p = 3 + 1/P, then prove that p^4 = 119 - 1/P^4 ---------------- It doesn't. If P = 1: p = 3+1 = 4 p^4 = 256 ------ 119 - 1/P^4 = 118 One counter example is sufficient to disprove it.
 test/754590: Find the slope and the y-intercept of the line whose equation is given. y=2/3x + 7 the slope is ? (Write integer or simplified fraction) The y-intercept is ? (Write ordered pair)1 solutions Answer 459184 by Alan3354(31518)   on 2013-06-02 08:26:25 (Show Source): You can put this solution on YOUR website!Find the slope and the y-intercept of the line whose equation is given. y=2/3x + 7 -------------- It's in slope-intercept form, y = mx + b m = slope b = y-intercept
 test/754573: Haried18@Gmail.com1 solutions Answer 459183 by Alan3354(31518)   on 2013-06-02 08:03:07 (Show Source): You can put this solution on YOUR website!Haried18@Gmail.com ------------ What about it?
 Linear-equations/754586: Find the slope-intercept equation for the line with the indicated slope and y-intercept. Slope 6/7; y-intercept (0, 2)1 solutions Answer 459182 by Alan3354(31518)   on 2013-06-02 08:01:54 (Show Source): You can put this solution on YOUR website!Find the slope-intercept equation for the line with the indicated slope and y-intercept. Slope 6/7; y-intercept (0,2) --------------- It's all given. y = (6/7)x + 2
 Travel_Word_Problems/754536: A carpenter is building a rectangular room with a fixed perimeter of 104 ft. What dimensions would yeild the maximum area? what is the maximum area? -I need the length, width, and maximum area, thanks!1 solutions Answer 459181 by Alan3354(31518)   on 2013-06-02 07:08:04 (Show Source): You can put this solution on YOUR website!A carpenter is building a rectangular room with a fixed perimeter of 104 ft. What dimensions would yeild the maximum area? what is the maximum area? -------------- Max area of a rectangle of given perimeter is a square.
 Linear-equations/754580: 3y+4/2-6y=-2/5 1 solutions Answer 459180 by Alan3354(31518)   on 2013-06-02 07:06:31 (Show Source): You can put this solution on YOUR website! y = 4/5
 Numbers_Word_Problems/754581: what is the digit of seven1 solutions Answer 459179 by Alan3354(31518)   on 2013-06-02 07:04:27 (Show Source): You can put this solution on YOUR website!what is the digit of seven ------- 7
 �t�e�s�t/754578: differentiate v(0)coswt with respect to t1 solutions Answer 459178 by Alan3354(31518)   on 2013-06-02 06:44:03 (Show Source): You can put this solution on YOUR website!differentiate v(0)coswt with respect to t -------- f(t) = v0*cos(wt) f'(t) = -v0*w*sin(wt)