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# Recent problems solved by 'Alan3354'

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 Rectangles/454056: I am a parent trying help my 4th grader. He needs to find the perimetr and area for a rectangle. he knows how to do it when the sides are labeled the same such as feet or inches all the way around. However, 2 sides are labeled inches and the other 2 sides are labeled meters. How do you do it then? 2 sides are 4 inches and 2 sides are 2 meters. thanks for your help.1 solutions Answer 311851 by Alan3354(30993)   on 2011-05-25 16:20:24 (Show Source): You can put this solution on YOUR website!I am a parent trying help my 4th grader. He needs to find the perimetr and area for a rectangle. he knows how to do it when the sides are labeled the same such as feet or inches all the way around. However, 2 sides are labeled inches and the other 2 sides are labeled meters. How do you do it then? 2 sides are 4 inches and 2 sides are 2 meters. thanks for your help. ------------------ If no specific units are requested, for the perimeter you could answer P = 4 meters and 4 inches. It's better to pick units, tho. 1 inch = 2.54 cm exactly so I would use metric units. P = 4 meters + 4*2.54 cm = 400 cm + 10.16 cm = 410.16 cm or 4.1016 meters ---------------- For the area, the units have to be the same. 2 inches = 5.08 cm = 0.0508 meters Area = 2 meters * 0.0508 meters = 0.1016 sq meters
 Linear-systems/454058: using the graphing method how would you solve this 3x+6y=18 2x+5y=20 1 solutions Answer 311850 by Alan3354(30993)   on 2011-05-25 16:13:09 (Show Source): You can put this solution on YOUR website!I would graph the 2 equations. The point of intersection is the x & y that fits both equations, and is the solution.
 Conjunction/454055: if the measure of B is tice the meaure of A what is the measure of A? 1 solutions Answer 311848 by Alan3354(30993)   on 2011-05-25 16:02:40 (Show Source): You can put this solution on YOUR website!B = 2A A = B/2 That's all we know.
 Linear_Equations_And_Systems_Word_Problems/454036: Tracy needs to find the length of the equipment storage room where she works. The room is one meter longer than it is wide. Its perimeter is 14 meters. 1 solutions Answer 311837 by Alan3354(30993)   on 2011-05-25 15:37:50 (Show Source): You can put this solution on YOUR website!Tracy needs to find the length of the equipment storage room where she works. The room is one meter longer than it is wide. Its perimeter is 14 meters. ------------------- How would she know the perimeter if she doesn't know the length? Ignoring that, P = 2W + 2L = 14 W + L = 7 L = W + 1 Sub for L in the 1st eqn W + L = 7 W + (W+1) = 7 2W + 1 = 7 2W = 6 W = 3 ------- L = 4
 Finance/453972: Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of fillin gup the gas tank with g gallons. Given the equation: C(g)=2.78(g) a) what does the number 2.78 represent b) Find C(3) c) find C(15) Would I plug the two into C(2) = 2.78? 1 solutions Answer 311795 by Alan3354(30993)   on 2011-05-25 11:29:08 (Show Source): You can put this solution on YOUR website!Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of fillin gup the gas tank with g gallons. Given the equation: C(g)=2.78(g) a) what does the number 2.78 represent The price per gallon, \$2.78 ---------------- b) Find C(3) Sub 3 for g C(3) = 2.78*3 = \$8.34 the cost of 3 gallons c) find C(15) C(15) = 2.78*15 = \$41.70 the cost of 15 gallons ---------------------- Would I plug the two into C(2) = 2.78? C(2) = \$5.36, the cost of 2 gallons.
 Quadratic-relations-and-conic-sections/453959: Fill in the information for each conic and sketch its graph. (x-7)squared + (y-1)squared = 25 Center_____? Radius_____?1 solutions Answer 311794 by Alan3354(30993)   on 2011-05-25 11:25:03 (Show Source): You can put this solution on YOUR website!(x-7)squared + (y-1)squared = 25 is in standard form, The center is (h,k), the radius is r.
 Quadratic-relations-and-conic-sections/453957: 1. The equation of an ellipse is given by (x-3)^2/64 + (y+5)^2/100 = 1 a. Identify the coordinates of the center of the ellipse. b. Find the length of the major and minor axes. c. Find the coordinates of the foci. d. Graph the ellipse. Label the center and foci. 1 solutions Answer 311792 by Alan3354(30993)   on 2011-05-25 11:14:18 (Show Source): You can put this solution on YOUR website!The equation of an ellipse is given by (x-3)^2/64 + (y+5)^2/100 = 1 a. Identify the coordinates of the center of the ellipse. (x-3)^2/64 + (y+5)^2/100 = 1 the form is The center is (3,-5) -------------------- b. Find the length of the major and minor axes. The semi-major axis = sqrt(b^2) = 10 --> major axis = 20 (vertical) Minor axis = 16 ----------------- c. Find the coordinates of the foci. The distance from the center = 6 is added and subtracted from the y values. --> (3,1) and (3,-11) ---------------------- d. Graph the ellipse. Label the center and foci. dl the FREE graph software at http://www.padowan.dk Use F6 to enter the function as it is.
 Numbers_Word_Problems/453873: how can possible add one even number and one odd number and answer in even number 1 solutions Answer 311786 by Alan3354(30993)   on 2011-05-25 10:58:39 (Show Source): You can put this solution on YOUR website!n + (n+1) = 2n+1 2n is even, --> 2n+1 is odd, always.
 Quadratic-relations-and-conic-sections/453949: What is the distance from the center to the focus of an ellipse whose equation is.... (x+1)squared/36 + (y-2)squared/11=11 solutions Answer 311785 by Alan3354(30993)   on 2011-05-25 10:57:24 (Show Source): You can put this solution on YOUR website!What is the distance from the center to the focus of an ellipse whose equation is.... Distance = 5
 Trigonometry-basics/453940: In triangle ABC , Angle A = 127° b = 9 cm, c = 8.5 cm. The length of a is approximately: (If necessary, round your answer to the nearest tenth.) 1 solutions Answer 311781 by Alan3354(30993)   on 2011-05-25 10:43:29 (Show Source): You can put this solution on YOUR website!Use the Cosine Law
 test/453886: 38 year old man has an 11 year old daughter. Someday he will be twice as old as his daughter. How old will she be when this occurs?1 solutions Answer 311780 by Alan3354(30993)   on 2011-05-25 10:40:51 (Show Source): You can put this solution on YOUR website!The difference is 27 yrs, and will always be 27 yrs. --> when she's 27.
 Coordinate-system/453930: What is the slope of a binomial 4x+301 solutions Answer 311779 by Alan3354(30993)   on 2011-05-25 10:27:53 (Show Source): You can put this solution on YOUR website!A binomial doesn't have a slope. Slope is the change of one variable compared to the other, usually y versus x. The binomial has only one variable.
 Rectangles/453896: The perimeter of a swimming pool is 91m. The width is 5m more than half the length of the pool. Find the length and width of the pool. Any help on this would be greatly appreciated I am stumped.1 solutions Answer 311778 by Alan3354(30993)   on 2011-05-25 10:25:03 (Show Source): You can put this solution on YOUR website!2L + 2W = 91 W = (L/2) + 5 Sub for W in the 1st eqn 2L + 2( (L/2 + 5) = 91 2L + L + 10 = 91 3L = 81 L = 27 W = 18.5
 Polygons/453864: find the area of a 24-gon with side lengths of 10inches1 solutions Answer 311763 by Alan3354(30993)   on 2011-05-25 09:31:43 (Show Source): You can put this solution on YOUR website! n = # of sides, s = side length for all regular polygons. ---------- =~ 4556 sq inches
 Numbers_Word_Problems/453875: the sum of 2 consective numbers s 152 what are the 2 numbers?1 solutions Answer 311745 by Alan3354(30993)   on 2011-05-25 07:55:28 (Show Source): You can put this solution on YOUR website!That's not possible, the sum has to an odd number. 75+76 = 151 76+77 = 153 --------------- 75.5 + 76.5 = 152 but "consecutive" implies integers.
 Complex_Numbers/453794: solve by completing the square. x^2+4x-12=01 solutions Answer 311726 by Alan3354(30993)   on 2011-05-24 22:49:29 (Show Source): You can put this solution on YOUR website!x^2+4x-12=0 x^2+4x = 12 x^2+4x+4 = 12+4 (x+2)^2=16 x+2= +/-4 x = -6, 2
 Polygons/453742: What are the measures of the interior and exterior angles of a regular 20-gon, 30-gon, and 36-gon?1 solutions Answer 311724 by Alan3354(30993)   on 2011-05-24 22:43:03 (Show Source): You can put this solution on YOUR website!The exterior angles = 360/n The interior = 180 - exterior -------------- For the 20-gon: Ext = 360/20 = 18 degs Int = 180 - 18 = 162
 test/453703: How do u find in two sets of equations have points in common 2x^2+3y^2=19 x^2+y^2=91 solutions Answer 311684 by Alan3354(30993)   on 2011-05-24 20:17:05 (Show Source): You can put this solution on YOUR website!How do u find in two sets of equations have points in common 2x^2+3y^2=19 x^2+y^2=9 --> y^2 = 9-x^2 sub for y^2 in the 1st eqn and solve for x 2x^2+3y^2=19 2x^2 + 3(9-x^2) = 19 -x^2 = -8 x = +/- sqrt(8) The solutions are real numbers, so there are intersections. Sub each value for x and find 2 values of y (in either equation). 4 intersections.
 Polynomials-and-rational-expressions/453701: Need help & o explain how to solve the equation: .-4.2=2.1n 1 solutions Answer 311683 by Alan3354(30993)   on 2011-05-24 20:09:50 (Show Source): You can put this solution on YOUR website!-4.2=2.1n Divide by 2.1 -2 = n n = -2
 Complex_Numbers/453681: how do you solve (3+2i)+(5-6i) can you please show and explain how you got the answer. (for a complex number ) thank you, mike1 solutions Answer 311675 by Alan3354(30993)   on 2011-05-24 19:03:31 (Show Source): You can put this solution on YOUR website!how do you solve (3+2i)+(5-6i) You don't solve it. Equations are solved. Just add them. (3+2i)+(5-6i) Add the 3 & 5 = 8 Add the 2i & -6i = -4i --> 8-4i
 Linear-equations/453646: 3x-y=4 2x+2y=24 Solve the systems by eliminating the y variable.1 solutions Answer 311672 by Alan3354(30993)   on 2011-05-24 18:42:56 (Show Source): You can put this solution on YOUR website!3x-y=4 2x+2y=24 --------- 3x-y=4 x +y=12 -------- Add 4x = 16 You can finish it.
 Equations/453652: 2b+5/2-3(b+2)=4 solve?1 solutions Answer 311671 by Alan3354(30993)   on 2011-05-24 18:41:44 (Show Source): You can put this solution on YOUR website!2b+5/2-3(b+2)=4 If you mean (2b+5)/2 - 3(b+2)=4 2b+5 - 6(b+2) = 8 2b+5 - 6b - 12 = 8 -4b - 7 = 8 -4b = 15 b = -15/4
 Linear-equations/453657: This question has a graph that goes with it. The readings are (3,0) and (0,-5). The question is about the equation for this problem. Laura routinely bikes to the northern tip or the island and back. Because of the steady wind, she uses one gear going north and another for her return. Laura's bike has 21 gears and the sum of the two gears used on her ride is always 24. Write an equation that represents the different pairings of gears that Laura uses. 1 solutions Answer 311670 by Alan3354(30993)   on 2011-05-24 18:39:35 (Show Source): You can put this solution on YOUR website!u = gear going upwind d = gear going downwind u + d = 24 ----------- I don't know what the graph has to do with it, or the fact that there are 21 gears.
 Permutations/453660: How do I find the answer to this question: How many ways could you choose 3 different items from a menu containing 6 items?1 solutions Answer 311668 by Alan3354(30993)   on 2011-05-24 18:37:18 (Show Source): You can put this solution on YOUR website!6*5*4 = 120
 Travel_Word_Problems/453620: A motorboat travels 305 miles in 5 hours going upstream and 558 miles in 6 hours going downstream. What is the rate of the boat in still water and what is the rate of the current? 1 solutions Answer 311654 by Alan3354(30993)   on 2011-05-24 17:30:36 (Show Source): You can put this solution on YOUR website!305/5 = 61 mph 558/6 = 93 mph The boat's speed is the average = (61+93)/2 = 77 mph The current is the difference = 93-77 = 16 mph
 Polynomials-and-rational-expressions/453621: y = 3/4x - 151 solutions Answer 311653 by Alan3354(30993)   on 2011-05-24 17:29:17 (Show Source): You can put this solution on YOUR website!Do you have a question?
 Permutations/453622: There are 9 possible toppings for a pizza. Hector may choose 3 different toppings for his pizza. How many pizzas are possible?1 solutions Answer 311652 by Alan3354(30993)   on 2011-05-24 17:28:47 (Show Source): You can put this solution on YOUR website!If he can choose the same one 3 times, say olives, olives & olives, it's 9*9*9 = 729. If it's 3 different toppings, it's 9*8*7 = 504
 Geometry_Word_Problems/453584: Can you show me how to work this problem: m 1 solutions Answer 311641 by Alan3354(30993)   on 2011-05-24 16:11:07 (Show Source): You can put this solution on YOUR website!Can you show me how to work this problem: m ------------- What is the problem? What do you want to do?
 test/453571: 1. (3x^2-2x+10)-(3x^2+3x+1)= 2. (y-y^2)-(2y-2y^2)-(3+y)= 3. (2w^3-3w^2+4)-(-2w^2+7w+1)= 4. (-x^7+10x+7)-(9x^7-4x-1)= 5. (x^4+3x^3-2x-19)-(-x^5+4x^4-3x-3)= 6. (2x^2+9x+1)-(x^2+4)= 7.(2a^3-3a^2+a)-(2a^3-3a^2+a+1)= 9.(11s-1)(11s+1)= 10.(8q+3pq)(8q-3pq)= 11.(mn+5n^2)(-5n^2+mn)= 12.(4xyz-2xy)(4xyz+2xy)= 13.(x-y)(x+y)(x^2+y^2)= 14.(4a-3b)(4a+3b)= 15.(kx+5)(kx-5)= 16.(2a^3-b^2)(2a^3+b^2)= 17.(3a+5x)(3a-5x)= 18.(mn-m^2)(-n+m)= 19.(-5k+3b)(b+2k)= 20.(-5k-3b)(-b-2k)= 21.(-2a+3b)(a^2b+b^2a)=1 solutions Answer 311632 by Alan3354(30993)   on 2011-05-24 15:44:04 (Show Source): You can put this solution on YOUR website!(3x^2-2x+10)-(3x^2+3x+1)= 2. -5x + 9 = 2 -5x = -7 x = 1.4
 Polynomials-and-rational-expressions/453532: Factoring Perfect squares x^2+2xy+y^21 solutions Answer 311631 by Alan3354(30993)   on 2011-05-24 15:41:59 (Show Source): You can put this solution on YOUR website!If you know it's a perfect square, and the end terms are x^2 and y^2, how is it a problem?
 Surface-area/453555: Four cubes of ice with the edge 4 cm each are left to melt in a cylinderical glass with the radius of 6 cm . How high will the water rise when they have melted? 1 solutions Answer 311629 by Alan3354(30993)   on 2011-05-24 15:37:55 (Show Source): You can put this solution on YOUR website!Four cubes of ice with the edge 4 cm each are left to melt in a cylinderical glass with the radius of 6 cm . How high will the water rise when they have melted? ------------ Each cube has a volume of 4*4*4 = 64 cc Vol = 4 times that = 256 cc -------------- Vol of the cylinder = h = 64/(9pi) h =~ 2.263 cm -------------- It's a large glass, more like a bowl.