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# Recent problems solved by 'Alan3354'

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 Coordinate-system/575630: how do you solve the system by graphing 2x+y=0 6x+4y=61 solutions Answer 369562 by Alan3354(31518)   on 2012-02-21 09:32:50 (Show Source): You can put this solution on YOUR website!how do you solve the system by graphing 2x+y=0 6x+4y=6 -------------- Both equations are straight lines, so you need 2 points for each. 2x+y = 0 y = -2x Pick 2 values for x and find y. Plot the 2 points. Draw a line thru them. ======================== 6x+4y=6 3x+2y=3 y = (-3/2)x + 3/2 Do the same for this one. ------------ Every point on the line is a solution for the eqn. The intersection is a solution for both, the solution of the system of equations. ----------- Try it, email me via the Thank You note to check your work, or for help.
 Travel_Word_Problems/575237: one travel 55 mph and the other travel 45 mph in opposite directions. How long will it take them to travel a total distance of 240 miles?1 solutions Answer 369561 by Alan3354(31518)   on 2012-02-21 09:22:02 (Show Source): You can put this solution on YOUR website!one travel 55 mph and the other travel 45 mph in opposite directions. How long will it take them to travel a total distance of 240 miles? --------------- It depends on what you mean by "total distance." Also, how far apart are they at the start? ------------- If you mean when they'll be 240 miles apart and start from the same point: The speeds are added when going in opposite directions 55 + 45 = 100 mi/hr ---- d = r*t t = d/r = 240/100 t = 2.4 hours. ------- If you mean something else, you'll have to specify.
 Numbers_Word_Problems/575623: If 2007^2007 is multiplied out, the units digit in the final product is: (A) 1 (B) 3 (C) 5 (D) 7 (E) 91 solutions Answer 369560 by Alan3354(31518)   on 2012-02-21 09:10:09 (Show Source):
 Polygons/575499: Find the number of sides a regular polygon must have to meet each condition if each interior angle measure is four times the measure of each exterior angle. Show all work.1 solutions Answer 369514 by Alan3354(31518)   on 2012-02-20 21:55:28 (Show Source): You can put this solution on YOUR website!Find the number of sides a regular polygon must have to meet each condition if each interior angle measure is four times the measure of each exterior angle. ----------- Int + Ext = 180 4Ext + Ext = 180 Ext = 36 degs ----- 360/36 = 10 sides
 Graphs/575489: can you tell me how to solve x-y=3. the question ask to use the y-intercept and slope to sketch the graph. I think i have to set x as 0 but I'm not sure how to solve or set it up. so far i have y=x-31 solutions Answer 369507 by Alan3354(31518)   on 2012-02-20 21:31:44 (Show Source): You can put this solution on YOUR website!can you tell me how to solve x-y=3. the question ask to use the y-intercept and slope to sketch the graph. I think i have to set x as 0 but I'm not sure how to solve or set it up. so far i have y=x-3 -------------- You don't solve it. It's 1 equation with 2 variables, so it has an infinite # of solutions. ---------- y = x - 3 is the slope-intercept form, y = mx + b b is the y-int, it's -3, or (0,-3). That's a point on the graph. ----- The graph is a straight line, so you need 2 points to make the graph. The slope, m, is +1, so you can count one square the right, an increase in x, and one square up, and increase in y, and plot a 2nd point. --> (1,-2) Draw a line thru the 2 points. ------------ You can pick any value for x and find y. eg, x = 3 --> y = 0 gives the point (3,0)
 Triangles/575263: classify ABC by its side and angles. all angles equal 40 degrees. what type of triangle is it? 1 solutions Answer 369444 by Alan3354(31518)   on 2012-02-20 13:51:29 (Show Source): You can put this solution on YOUR website!classify ABC by its side and angles. all angles equal 40 degrees. what type of triangle is it? ---------- It's a non-existent, not possible, triangle. The sum of the angles is always 180 degs.
 Complex_Numbers/575177: solve the equation by factoring. show work 2x^2 = 7x+151 solutions Answer 369421 by Alan3354(31518)   on 2012-02-20 10:01:03 (Show Source): You can put this solution on YOUR website!solve the equation by factoring. show work 2x^2 = 7x+15 ------------- ----------- The factors will be (x + a)*(2x + b) ----- The product of a*b = -15, so the signs will be different. One plus, one minus. a & b are 1 & 15 or 3 & 5, plus or minus. Try combinations until you find it. That's how it's done.
 Volume/575163: 4 diameter cube = centemeter cube 1 solutions Answer 369417 by Alan3354(31518)   on 2012-02-20 09:27:41 (Show Source): You can put this solution on YOUR website!4 diameter cube = centemeter cube ----- 4 what? What does "centemeter cube" mean?
 Equations/574986: Solve the equation. Please show all of your work. -4-7/4x=101 solutions Answer 369347 by Alan3354(31518)   on 2012-02-19 19:05:22 (Show Source): You can put this solution on YOUR website!Solve the equation. Please show all of your work. -4-7/4x=10 ----------- It's ambiguous. Add parentheses.
 Money_Word_Problems/574991: one third of 7500.00 dollars is1 solutions Answer 369346 by Alan3354(31518)   on 2012-02-19 19:04:13 (Show Source): You can put this solution on YOUR website!Get serious.
 Equations/574993: Y=-2/3 x-12 1 solutions Answer 369345 by Alan3354(31518)   on 2012-02-19 19:03:38 (Show Source): You can put this solution on YOUR website!Do you have a question?
 Money_Word_Problems/574992: one third of 3000.00 dollar is1 solutions Answer 369344 by Alan3354(31518)   on 2012-02-19 19:03:13 (Show Source): You can put this solution on YOUR website!= 3000/3 You can use a calculator, if you must. It's a good idea to know how to count your money.
 Systems-of-equations/574978: How do I solve the system of equations by graphing: y=x-5 and -2x +y=-101 solutions Answer 369342 by Alan3354(31518)   on 2012-02-19 18:46:08 (Show Source): You can put this solution on YOUR website!How do I solve the system of equations by graphing: y=x-5 and -2x +y=-10 ---------- You graph the 2 equations. The intersection is at the values that fit both equations. ---- Both graphs are straight lines, so 2 points are needed. Pick values for x or y, and find the other variable. Plot 2 points. Draw a line thru them.
 Miscellaneous_Word_Problems/574976: At a constant speed of 80km per hour it would take 35years to travel over the entire road network of the world. taking a year as 365 days , calculate the length of the road network of the world in standard form1 solutions Answer 369341 by Alan3354(31518)   on 2012-02-19 18:43:50 (Show Source): You can put this solution on YOUR website!At a constant speed of 80km per hour it would take 35years to travel over the entire road network of the world. taking a year as 365 days , calculate the length of the road network of the world in standard form ------------- t in hours = 35*365*24 -------- d = r*t ========== What is standard form for length?
 Linear-equations/574979: A line passes through (3, 5) and (6, 14). What is the equation of the line in point-slope form? 1 solutions Answer 369339 by Alan3354(31518)   on 2012-02-19 18:42:02 (Show Source): You can put this solution on YOUR website!A line passes through (3,5) and (6,14). What is the equation of the line in point-slope form? ================================== Find the slope. slope m = diffy/diffx = (14-5)/(6-3) = 9/3 m = 3 Then here's an example. ------------- Write the equation of a line that passes through the given point and has the given slope. Then write the equation in slopeintercept form. Show all your work. Passes through (5,6) and has slope of 3 Use y = mx + b and the point to find b 6 = 3*(-5) + b b = 21 --> y = 3x + 21
 Permutations/574750: Four coins are tossed. In how many ways can they fall? 1 solutions Answer 369276 by Alan3354(31518)   on 2012-02-19 09:14:14 (Show Source): You can put this solution on YOUR website!Four coins are tossed. In how many ways can they fall?
 Expressions-with-variables/574688: -1/4(x-8)+1/2(x+2)=x+15 (-1/4*x)-(-1/4*8)+(1/2*x)+(1/2*2)=x+15 -1/4x-2+1/2x+1=x+15 3/4x-1=x+15 (3/4x-3/4)-1=(x-3/4)+15 x-1=1/4x+15 And now I'm completely lost. Thanks for any help you can give.1 solutions Answer 369226 by Alan3354(31518)   on 2012-02-18 21:50:13 (Show Source): You can put this solution on YOUR website!-1/4(x-8)+1/2(x+2)=x+15 (-1/4*x)-(-1/4*8)+(1/2*x)+(1/2*2)=x+15 -1/4x-2+1/2x+1=x+15 ************************-(-1/4*8) = +2 3/4x-1=x+15 ---------------- -1/4(x-8)+1/2(x+2)=x+15 (-1/4*x)-(-1/4*8)+(1/2*x)+(1/2*2)=x+15 -1/4x + 2 + 1/2x + 1 = x+15 (1/4)x + 3 = x+15 (1/4)x = x + 15 x = 4x + 60 -3x = 60 x = -20
 Money_Word_Problems/574653: a loan of 27,000 with a 6% rate paying 500 a month 1 solutions Answer 369211 by Alan3354(31518)   on 2012-02-18 20:25:33 (Show Source): You can put this solution on YOUR website!a loan of 27,000 with a 6% rate paying 500 a month ------------- What's your question?
 Rectangles/574647: The perimeter of a rectangle is 15 cm, and its dimensions are tripled. What is the perimeter of the larger rectangle?1 solutions Answer 369202 by Alan3354(31518)   on 2012-02-18 18:07:00 (Show Source): You can put this solution on YOUR website!3*15 = 45
 Circles/574652: What is the area of a circle whose diameter is 25cm1 solutions Answer 369201 by Alan3354(31518)   on 2012-02-18 18:06:21 (Show Source): You can put this solution on YOUR website!What is the area of a circle whose diameter is 25cm -------- r = 25/2 cm
 Travel_Word_Problems/574614: how many miles per hour would i need to run in order to finish 1 & 1/3 mile distance in 12 minutes1 solutions Answer 369175 by Alan3354(31518)   on 2012-02-18 14:27:39 (Show Source): You can put this solution on YOUR website!how many miles per hour would i need to run in order to finish 1 & 1/3 mile distance in 12 minutes -------------- d = r*t r = d/t = (4/3) miles/(1/5) hours
 t e s t/574615: What decimal is greater than 0.346 and less than 0.36?1 solutions Answer 369174 by Alan3354(31518)   on 2012-02-18 14:24:29 (Show Source): You can put this solution on YOUR website!What decimal is greater than 0.346 and less than 0.36? -------------- "What decimal..." makes no sense. If you mean what number in decimal format: There are an infinite # of them. 0.3460001 0.3460002 0.3460000000000007 etc
 Linear_Equations_And_Systems_Word_Problems/574608: Game rentals are \$5 each and movie rentals are \$2 each. Write an equation to represent the number of games, x, and the number of movies, y, that could be rented with \$150.1 solutions Answer 369171 by Alan3354(31518)   on 2012-02-18 14:00:57 (Show Source): You can put this solution on YOUR website!Game rentals are \$5 each and movie rentals are \$2 each. Write an equation to represent the number of games, x, and the number of movies, y, that could be rented with \$150. ----- 5x + 2y = 150
 Polynomials-and-rational-expressions/574517: what are the positive zeros of f(x)=2x^4-9x^3+2x^2+21x-10?1 solutions Answer 369169 by Alan3354(31518)   on 2012-02-18 13:33:47 (Show Source): You can put this solution on YOUR website!what are the positive zeros of f(x)=2x^4-9x^3+2x^2+21x-10? x = 1/2 & x = 2 -------------- Divide those out and solve the quadratic for the other 2, 1 is positive.
 Travel_Word_Problems/574601: You ride a motor scooter 8 km for 15 minutes. Your [average] speed is?1 solutions Answer 369166 by Alan3354(31518)   on 2012-02-18 13:17:42 (Show Source): You can put this solution on YOUR website!You ride a motor scooter 8 km for 15 minutes. Your [average] speed is? ---------- d = r*t r = d/t = 8 km/15 min r = 8/15 km/min
 Linear-equations/574559: 9. Write the equation of a line that passes through the given point and has the given slope. Then write the equation in slopeintercept form. Show all your work. Passes through (5, 6) and has slope of 3 Passes through (4, 0) and has slope of 1/2 Passes through (3, 2) and has slope of 4 Take Note You can check your answer by first checking that the given slope and the slope in your equation are the same. Then substitute the ordered pair into your equation and show that it is a solution. 1 solutions Answer 369133 by Alan3354(31518)   on 2012-02-18 09:31:49 (Show Source): You can put this solution on YOUR website!Write the equation of a line that passes through the given point and has the given slope. Then write the equation in slopeintercept form. Show all your work. Passes through (5, 6) and has slope of 3 Use y = mx + b and the point to find b 6 = 3*(-5) + b b = 21 --> y = 3x + 21 ======================== Do these the same way. Passes through (4, 0) and has slope of 1/2 Passes through (3, 2) and has slope of 4
 Money_Word_Problems/574565: I have tried, can you help please? Charles deposited 12,000 in the bank. He withdrew 5000 from his account after one year. If he reeives a total amount of 9350 after 3 years, fidn the rate of simeple interest. I tried i=prt but that is confusing - help please1 solutions Answer 369132 by Alan3354(31518)   on 2012-02-18 09:29:51 (Show Source): You can put this solution on YOUR website!Charles deposited 12,000 in the bank. He withdrew 5000 from his account after one year. If he reeives a total amount of 9350 after 3 years, fidn the rate of simeple interest. I tried i=prt but that is confusing - help please ================ i = prt is (sort of) the formula for continuous compounding, but this says simple interest. ---- If the interest was paid on 12000 the first year, then 7000 for 2 years: 9350 = r*12000 + 2r*7000 = 26000r r = 9350/26000 =~ 0.3596 --> 36% interest, a good rate. Is he a shylock?
 Rate-of-work-word-problems/574566: the time between a flash of lighting and the sound of thunder is 9 seconds. How far away is the lighting1 solutions Answer 369131 by Alan3354(31518)   on 2012-02-18 09:24:34 (Show Source): You can put this solution on YOUR website!the time between a flash of lighting and the sound of thunder is 9 seconds. How far away is the lighting ----------- 9 times the speed of sound (in feet or meters per second) The speed of sound varies with temperature, it's ~ 1000 to 1100 ft/second 9*1000 = 9000 feet
 Geometry_Word_Problems/574537: Billy likes to go cycling. His bike has wheels of diameter 85cm. He has invented a counter for his bike, which counts the number of revelations the wheel makes. One day the counter shows 240 revolutions. How far has billy cycled? give your answer to the nearest metre.1 solutions Answer 369130 by Alan3354(31518)   on 2012-02-18 09:23:22 (Show Source): You can put this solution on YOUR website!His bike has wheels of diameter 85cm. He has invented a counter for his bike, which counts the number of revelations the wheel makes. One day the counter shows 240 revolutions. How far has billy cycled? give your answer to the nearest metre. --------------- Circumference = pi*85 cm d = 240*85*pi = 20400*pi cm = 204*pi meters d =~ 641 meters ------------------ You can buy those for ~ \$20, they show speed and distance. No need to invent it. It works well on bicycles, but adapting it to rollerblades is not easy.
 Numeric_Fractions/574292: What is the answer and how do you solve: 5-3(5/8)1 solutions Answer 369128 by Alan3354(31518)   on 2012-02-18 09:18:14 (Show Source): You can put this solution on YOUR website!5-3(5/8) = 5 - (15/8) = 40/8 - 15/8 = 25/8
 Parallelograms/574564: What would be the square footage of a property with four unequal lenght sides? one 41.67 two 98.42 three 40.42 four 81.691 solutions Answer 369126 by Alan3354(31518)   on 2012-02-18 09:06:58 (Show Source): You can put this solution on YOUR website!What would be the square footage of a property with four unequal lenght sides? one 41.67 two 98.42 three 40.42 four 81.69 =========== Not enough info. Have to have angle data, or diagonal dimensions.