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Alan3354 answered: 30973 problems
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Equations/341098: C= 2.85n + 30.52 a. find and interpret the C-intercept for the line b. find and interpret the n-intercept for the line c. graph the line for n ranging from 0 thru 20 thank you so so much. I have another one I will submit separately. would I be able to get this and a few other problems by Sunday, 9/12 or Monday 9/13? I'm in a panic. I can't tell you how grateful I would be. I just need to pass this algebra course. 1 solutions Answer 244241 by Alan3354(30993)   on 2010-09-09 17:59:11 (Show Source): You can put this solution on YOUR website! C= 2.85n + 30.52 a. find and interpret the C-intercept for the line At the C-int, n=0 (the interpretation) C = 30.52 ---------- b. find and interpret the n-intercept for the line At the n-int, C = 0 0 = 2.85n + 30.52 n = -30.52/2.85 n =~ -10.7088 --------------- c. graph the line for n ranging from 0 thru 20 --------------- The C-intercept is the point (0,30.52) At n = 10, C = 2.85*20 + 30.52 = 87.52 A 2nd point is (20,87.52) It's a straight line, 2 points is sufficient to plot it.

Points-lines-and-rays/341096: so if so what i did what set is equal to 90 degrees since the angles must equal 90 for complementary, and i got x=102/20 and my teacher doesn't want us to simplify that, so i got confused when i had to plug that in to find the measurements of the angles. 1 solutions Answer 244237 by Alan3354(30993)   on 2010-09-09 17:51:19 (Show Source): You can put this solution on YOUR website! I don't know what that means.

Expressions-with-variables/341104: 8 more than a number x 1 solutions Answer 244236 by Alan3354(30993)   on 2010-09-09 17:49:38 (Show Source): You can put this solution on YOUR website! x + 8 or 8 + x

Linear-systems/341061: I am not sure if I am supposed to subtract on the right side. I am having a hard time seeing it. 9-2m/7=19 2m/7 is a fraction. 1 solutions Answer 244234 by Alan3354(30993)   on 2010-09-09 17:43:20 (Show Source): You can put this solution on YOUR website! 9-2m/7=19 Subtract 9 -2m/7 = 10 Multiply by 7 -2m = 70 Divide by -2 m = -35

Proportions/341060: The sum of all the digits of the numbers from 1 to 100 is 1 solutions Answer 244233 by Alan3354(30993)   on 2010-09-09 17:39:30 (Show Source): You can put this solution on YOUR website! There 100 numbers. Arrange them as 50 pairs: 1 + 100 2 + 99 3 + 98 etc. 50 pairs, each pair = 101 50*101 = 5050

decimal-numbers/341072: What decimal part of 255 is 153? 1 solutions Answer 244231 by Alan3354(30993)   on 2010-09-09 17:37:00 (Show Source): You can put this solution on YOUR website! = 153/255 Use a calculator

Equations/341095: Find an equation in standard form that has a slope of 1/3 and goes through (1,6). Please help 1 solutions Answer 244230 by Alan3354(30993)   on 2010-09-09 17:35:58 (Show Source): You can put this solution on YOUR website! A line and a point example. Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2) ----------------- Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y. 9x+3y = 36 3y= - 9x + 36 y = -3x + 12 The slope, m = -3 ------------------ The slope of lines parallel is the same. The slope of lines perpendicular is the negative inverse, m = +1/3 ---------------- Use y = mx + b and the point (1,2) to find b. 2 = (1/3)*1 + b b = 5/3 The equation is y = (1/3)x + 5/3 (slope-intercept form) x - 3y = -5 (standard form) ------------------------ For further assistance, or to check your work, email me via the thank you note, or at Moral Loophole@aol.com

Proportions/341082: The number of digits in the product 24^4 x 5^12 is 1 solutions Answer 244228 by Alan3354(30993)   on 2010-09-09 17:23:35 (Show Source): You can put this solution on YOUR website! 24^4 x 5^12 (3^4)*(8^4)*(5*12) = (3^4)*(2^12)*(5^12) = 81*10^12 --> 14 digits

real-numbers/341067: i dont know how to solve 2-(2-7/4) please help me step by step im having a test tomorrow 1 solutions Answer 244226 by Alan3354(30993)   on 2010-09-09 17:20:59 (Show Source): You can put this solution on YOUR website! 2-(2-7/4) = 8/4 - (8/4 - 7/4) = 8/4 - 1/4 = 7/4

Unit_Conversion_Word_Problems/341035: A person can jog an average of 5.9 miles per hour. If this person chooses to participate in a marathon race (42.195km), how many hours will it take to complete the race? 1 solutions Answer 244221 by Alan3354(30993)   on 2010-09-09 16:27:33 (Show Source): You can put this solution on YOUR website! Only 2 numbers to work with. You gotta start somewhere. Give it a try.

Quadratic_Equations/341023: I need help solving this problem. I keep getting the wrong answer. 5=.0002x^2-.316x+127.9. If you could help I would greatly appriciate it. 1 solutions Answer 244217 by Alan3354(30993)   on 2010-09-09 16:25:19 (Show Source): You can put this solution on YOUR website! 5=.0002x^2-.316x+127.9 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 : . Discriminant d=0.00953599999999999 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 1034.13111231467, 545.868887685326. Here's your graph: ---------------- Ignore the part about factoring it.

Linear-systems/341038: What is r? I am having a hard time putting it in the simplest term 7r/12=-14 the 7r and 12 is a fraction. 7r is the numerator and 12 is the denominator. I am sorry but I didn't know how to type the fraction in this message. 1 solutions Answer 244214 by Alan3354(30993)   on 2010-09-09 16:20:39 (Show Source): You can put this solution on YOUR website! What is r? I am having a hard time putting it in the simplest term 7r/12=-14 the 7r and 12 is a fraction. 7r is the numerator and 12 is the denominator. I am sorry but I didn't know how to type the fraction in this message. ------------------ Type it just like that. -------------- 7r/12 = -14 Multiply by 12 7r = -168 Divide by 7 r = -24

Equations/340906: Solve the following formula for y. x=9y-5 I'm honestly not sure where to even start? 1 solutions Answer 244173 by Alan3354(30993)   on 2010-09-09 11:56:53 (Show Source): You can put this solution on YOUR website! x=9y-5 Solve for y means get y on one side on the equal sign by itself. x=9y-5 Add 5 x + 5 = 9y 9y = x + 5 Divide by 9 y = (x + 5)/9

Angles/340741: An angle measures 51 degrees.What is the measure of its supplementary angle. 1 solutions Answer 244097 by Alan3354(30993)   on 2010-09-08 21:54:04 (Show Source): You can put this solution on YOUR website! 180 - 51

Travel_Word_Problems/340724: When I was in Germany I rented a car and while on the autobahn one day, I noticed that I had gone 22 kilometers in 15 minutes. How fast was I going in miles per hour? 1 solutions Answer 244096 by Alan3354(30993)   on 2010-09-08 21:53:08 (Show Source): You can put this solution on YOUR website! 60 mph. Not fast for the autobahn.

Linear-equations/340742: I'm trying to help my friends kid with math homework and its been a while since I've done anything with graphs. The problem is... The organizers of a walkathon are getting cost estimates from 2 printing companies for brochures to advertise the event. C=cost in $ and n=#of brochures Company A C=15+0.10n Company B C=.25n a. For what number of brochures are the costs the same for both companies, and what method did you use? c. What info does the y-intercept represent for each equation? I remembered enough to help her with b and d, but I'm lost on these two problems. I just can't remember how to find the answer. Thank you for your time. Clark 1 solutions Answer 244095 by Alan3354(30993)   on 2010-09-08 21:51:42 (Show Source): You can put this solution on YOUR website! C=cost in $ and n=#of brochures Company A C=15+0.10n Company B C=.25n a. For what number of brochures are the costs the same for both companies, and what method did you use? C = 15 + 0.10n = 0.25n when they cost is equal 15 + 0.10n = 0.25n 15 = 0.15n n = 100 The total cost for 100 is the same for either price schedule. ----------------------- c. What info does the y-intercept represent for each equation? Assuming y is the cost, and x is the number of brochures, The y-intercept is the cost of zero (0) brochures, or the base cost. --------------

Polygons/340745: Each exterior angle of a regular polygon measures 45. How many sides does the polygon have? 1 solutions Answer 244094 by Alan3354(30993)   on 2010-09-08 21:46:23 (Show Source): You can put this solution on YOUR website! Exterior angles always total 360º. 360/45 = 8

Polygons/340674: I have an 8 sided figure that is 146 inches in diameter. Assuming all the sides are equal in length, was is the length of one of the sides? And what is the basic area (It's a gazebo and I'm trying to figure out what will fit in it!) Thank you. 1 solutions Answer 244072 by Alan3354(30993)   on 2010-09-08 20:38:41 (Show Source): You can put this solution on YOUR website! I have an 8 sided figure that is 146 inches in diameter. Assuming all the sides are equal in length, was is the length of one of the sides? And what is the basic area (It's a gazebo and I'm trying to figure out what will fit in it!) --------------- Assuming the 146 is from point to point: s = (146/2)*sin(22.5) s =~ 27.94 inches (side length) ------------------- Area = ns^2*cot(180/n)/4 n = 8, # of sides Area =~ 3768 sq in =~ 26.17 sq feet

Expressions-with-variables/340685: OK heres another story problem that i got confused on and need help. Even my dad didn't get either of them. Oh, and the square in the problem is just a regular square: "In the square, the variable represents a positive whole number. Find the value of such that the area and the perimeter of the square are the same." 1 solutions Answer 244068 by Alan3354(30993)   on 2010-09-08 20:32:27 (Show Source): You can put this solution on YOUR website! s = side length Area = s^2 Perimeter = 4s s^2 = 4s s = 0 (ignore) s = 4 --> Perimeter = 16 Area = 16

Miscellaneous_Word_Problems/340569: The sum of two of the numbers is six. The sum of the squares of the two numbers is twenty. Find the two numbers. Okay, so far I was thinking the first equation would look like x+x=6, and the second equation would look like (x+x)^2=20. Is this correct? Thank you for your time! 1 solutions Answer 244039 by Alan3354(30993)   on 2010-09-08 18:28:14 (Show Source): You can put this solution on YOUR website! It has to be 2 different numbers. x + x = 6 --> x = 3 ------------ Then, you have (x + x)^2 = 20. That's not what it says. ------------ x = 1 number y = the other number x + y = 6 x^2 + y^2 = 20 not (x+y)^2 = 20 ------------- Email me at Moral Loophole@aol.com for further assistance, if needed.

Points-lines-and-rays/340543: what is the geometric term of a table cloth? 1 solutions Answer 244035 by Alan3354(30993)   on 2010-09-08 18:06:19 (Show Source): You can put this solution on YOUR website! Some are rectangles. Some are "ovals" Some are circular --------------- There is no geometric term for a table cloth. There might be geometric terms for the shapes of tablecloths. The people writing problems are not very smart.

Linear-equations/340546: a gumball machine is filled with 122 balls and average of 7 balls are bought daily how may gumballs will be left in the machine after one week? Use three different representations to justify your answer and graph? We identified y=122-7x can't find additional and do not know how to graph? 1 solutions Answer 244032 by Alan3354(30993)   on 2010-09-08 18:03:18 (Show Source): You can put this solution on YOUR website! a gumball machine is filled with 122 balls and average of 7 balls are bought daily how may gumballs will be left in the machine after one week? Use three different representations to justify your answer and graph? We identified y=122-7x can't find additional and do not know how to graph? -------------------- I think the "3 reps" are 3 points on the graph. eg, day 1, y = 115 day 2, y = 108 day 7, y = 73 -------------- Plot the points and draw a straight line thru them.

test/340523: 3x6-5=what??? -3(5x4)=??? - plus a +=a negative or a positive? + plus a - =??? 1 solutions Answer 244026 by Alan3354(30993)   on 2010-09-08 17:53:25 (Show Source): You can put this solution on YOUR website! Is x a variable? Use the asterisk * for multiply.

Square-cubic-other-roots/340536: the area of a sqaure is 289 square inches. what is the length of each side of the square 1 solutions Answer 244018 by Alan3354(30993)   on 2010-09-08 17:38:00 (Show Source): You can put this solution on YOUR website!

Circles/340494: Hello, Well I need help with solving systems of equations with circles. My teacher really did not explain how to solve the equation algebraically. The problem is: (x+2)^2 + (y-2)^2= 9 (x-1)^2 + (y-2)^2=16 I graphed the circles by plotting (-2,2) with a radius of 3 for the first circle, and (1,2) with a radius of 4 for the second circle. Please assist me in solving the equations algebraically. Thank you so much! 1 solutions Answer 244016 by Alan3354(30993)   on 2010-09-08 17:37:20 (Show Source): You can put this solution on YOUR website! (x+2)^2 + (y-2)^2= 9 (x-1)^2 + (y-2)^2=16 ---------------------- 5 - 4x = 15 + 2x -10 = 6x x = -5/3 ---------- Sub for x into either eqn and find 2 values for y.

Polynomials-and-rational-expressions/340515: How do you solve: x squared plus 5x-500=0 1 solutions Answer 244008 by Alan3354(30993)   on 2010-09-08 17:23:11 (Show Source): You can put this solution on YOUR website! 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 : . Discriminant d=2025 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 20, -25. Here's your graph:

Miscellaneous_Word_Problems/340519: If an object is thrown upward with an initial velocity of 96ft. per second, its height after 1 sec. is given by h=96t + 16t^2. Find the number of seconds before the object hits the ground. 1 solutions Answer 244006 by Alan3354(30993)   on 2010-09-08 17:20:32 (Show Source): You can put this solution on YOUR website! If an object is thrown upward with an initial velocity of 96ft. per second, its height after 1 sec. is given by h=96t + 16t^2. Find the number of seconds before the object hits the ground. ------------------- Your equation is not right, it's h(t) = 96t - 16t^2. If it's +16t^2, it would never stop going up. h(t) = -16t^2 + 96t It's a ground level when h(t) = 0 h(t) = -16t^2 + 96t = 0 16t^2 = 96t t = 0 (at the start) t = 6 seconds (at impact)

test/340271: 60 is 48% of what number 1 solutions Answer 243795 by Alan3354(30993)   on 2010-09-07 23:14:03 (Show Source): You can put this solution on YOUR website! wn = what number 0.48wn = 60 wn = 60/0.48 = 125

Linear_Equations_And_Systems_Word_Problems/340226: The product of page numbers on two facing pages of a book is 420. Find the page numbers. x(x + 1) = 420 is as far as I am.... Help!!! 1 solutions Answer 243794 by Alan3354(30993)   on 2010-09-07 23:11:17 (Show Source): You can put this solution on YOUR website! sqrt(420) =~ 20.5 --> 20 & 21

Volume/340212: if one cubic inch weighs 0.036 pounds is a 45 volumed cube what does the whole thing weigh? 1 solutions Answer 243793 by Alan3354(30993)   on 2010-09-07 23:07:30 (Show Source): You can put this solution on YOUR website! I don't know what that means.

Graphs/339932: what is the function rule for this x=1,2,3,4 y=0,2,4,6 1 solutions Answer 243756 by Alan3354(30993)   on 2010-09-07 21:59:10 (Show Source): You can put this solution on YOUR website! y = 2x - 2