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Alan3354 answered: 30973 problems
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test/582518: How do you solve a system using elimination and/or substitution? 1 solutions Answer 372083 by Alan3354(30993)   on 2012-03-05 16:24:40 (Show Source): You can put this solution on YOUR website! How do you solve a system using elimination and/or substitution? ---------------- There are many examples solved on this site, probably 1000s of them.

Angles/582426: If a convex polygon has 10 sides, what is the sum of the measures of the interior angles? 1 solutions Answer 372070 by Alan3354(30993)   on 2012-03-05 14:40:31 (Show Source): You can put this solution on YOUR website! If a convex polygon has 10 sides, what is the sum of the measures of the interior angles? --------- Sum = (n-2)*180 always

Square-cubic-other-roots/582440: 35(square root sign) 27 1 solutions Answer 372069 by Alan3354(30993)   on 2012-03-05 14:37:28 (Show Source): You can put this solution on YOUR website! =~ 181.865

Proportions/582452: Please help me to solve this question =/ The sum of Ken's LDL and HDL cholesterol is 210, and his LDL to HDL ratio is 2.75. What are his LDL and HDL? 1 solutions Answer 372067 by Alan3354(30993)   on 2012-03-05 14:22:17 (Show Source): You can put this solution on YOUR website! The sum of Ken's LDL and HDL cholesterol is 210, and his LDL to HDL ratio is 2.75. What are his LDL and HDL? ------------- The ratio is 2.75:1 = 11:4 11+4 = 15 210/15 = 14 --------- LDL = 11*14 = 154 HDL = 4*4 = 56

Permutations/582432: how many 6 digit combinations of the numbers o-9 can be made 1 solutions Answer 372062 by Alan3354(30993)   on 2012-03-05 14:12:25 (Show Source): You can put this solution on YOUR website! how many 6 digit combinations of the numbers o-9 can be made --------- 0 to 9 is 10 numbers --> 10^6 = 1,000,000 if you include 000000, 000001, etc ------- If leading zeroes are not allowed, then it's 100,000 to 999,999 = 900,000 combinations

Coordinate-system/582462: I need to graph 4x+3y=27 1 solutions Answer 372060 by Alan3354(30993)   on 2012-03-05 14:07:19 (Show Source): You can put this solution on YOUR website! I need to graph 4x+3y=27 ---------- It's a straight line, so you need 2 points. Pick 2 values for x or y, then solve for the other variable. Picking 0 for x, then 0 for y often works. Plot the 2 points. Draw a line thru them.

Complex_Numbers/582408: How do I solve problems like 10+5i/10-5i? I thought I just needed to multiply the top by the bottom, but I keep coming up with the worng answer. 1 solutions Answer 372040 by Alan3354(30993)   on 2012-03-05 11:35:02 (Show Source): You can put this solution on YOUR website! How do I solve problems like 10+5i/10-5i? --------- You don't solve it, there's no variable to solve for. You can rationalize it, get the i out of the denominator. -------- 10+5i/10-5i Reduce first = (2+i)/(2-i) Multiply NUM and DEN by the conjugate of the DEN, 2+i = (2+i)*(2+i)/(2-i)*(2+i) = (4 + 4i + i^2)/(4 - i^2) = (4 + 4i - 1)/(4 + 1) = (3 + 4i)/5 or 0.6 + 0.8i

Mixture_Word_Problems/582359: How much water must be added to 3 gallons of a 4% insecticide solution to reduce the concentration to 3% 1 solutions Answer 372038 by Alan3354(30993)   on 2012-03-05 09:55:57 (Show Source): You can put this solution on YOUR website! How much water must be added to 3 gallons of a 4% insecticide solution to reduce the concentration to 3% ------------ 3 gals of 4% --> 0.12 gals of insecticide If 0.12 gals is 3%, then Vol*0.03 = 0.12 The total solution is Vol = 0.12/0.03 = 4 gallons ------- Add 1 gallon of water

Surface-area/582357: What is the surface area of a cardboard tube that is 4 inches long with a circumfrence of 5 inches? 1 solutions Answer 372037 by Alan3354(30993)   on 2012-03-05 09:44:18 (Show Source): You can put this solution on YOUR website! What is the surface area of a cardboard tube that is 4 inches long with a circumfrence of 5 inches? ------------ The lateral area, not including the ends, is = 20 sq inches

Percentage-and-ratio-word-problems/582248: Could someone please help me with this problem? Its been awhile since we have had these type of problems and I cant find an example. The ratio of the number of formidable contestants to the number who were lackluster was 7 to 2. If there were 45,000 contestants, how many were formidable? 1 solutions Answer 372001 by Alan3354(30993)   on 2012-03-04 23:20:58 (Show Source): You can put this solution on YOUR website! The ratio of the number of formidable contestants to the number who were lackluster was 7 to 2. If there were 45,000 contestants, how many were formidable? ------------ 7+2 = 9 45000/9 = 5000 ------------ 7*5000 = 35000 2*5000 = 10000

Rational-functions/582214: What is f(x)=x^5-2 1 solutions Answer 371995 by Alan3354(30993)   on 2012-03-04 21:46:06 (Show Source): You can put this solution on YOUR website! What is f(x)=x^5-2 ----- It's a function in x

Volume/582216: a sphere of radius r is inscribed in a cube. what is the ratio of the volume of the sphere to the volume of the cube? 1 solutions Answer 371994 by Alan3354(30993)   on 2012-03-04 21:44:54 (Show Source): You can put this solution on YOUR website! a sphere of radius r is inscribed in a cube. what is the ratio of the volume of the sphere to the volume of the cube? ---------- Sphere volume = Cube volume = S/C =

Pythagorean-theorem/582200: how do you solve s^2+s^2=32^2 thank you sooo much! 1 solutions Answer 371992 by Alan3354(30993)   on 2012-03-04 21:34:11 (Show Source): You can put this solution on YOUR website! s^2+s^2=32^2 s =~ 22.627

�t�e�s�t/582181: the quotient of number and -6 is 36. what is the number? 1 solutions Answer 371981 by Alan3354(30993)   on 2012-03-04 20:39:10 (Show Source): You can put this solution on YOUR website! the quotient of number and -6 is 36. what is the number? ---------- n/(-6) = 36 n = -216 -------------

Graphs/582183: find the slope and y intercept of y=3/4x-2 1 solutions Answer 371979 by Alan3354(30993)   on 2012-03-04 20:36:49 (Show Source): You can put this solution on YOUR website! find the slope and y intercept of y=3/4x-2 --------- Slope = 3/4 y-int = -2

Angles/582147: The measure of the vertex angle of an isoceles triangle is 75 degrees. What is the measure of one of the base angles of the triangle? 1 solutions Answer 371978 by Alan3354(30993)   on 2012-03-04 20:32:09 (Show Source): You can put this solution on YOUR website! The measure of the vertex angle of an isoceles triangle is 75 degrees. What is the measure of one of the base angles of the triangle? --------------- The sum of the other 2 angles = 180 - 75 = 105 degs They're equal, so each is 105/2 = 52.5 degs

Volume/582142: A gasoline storage tank has a diameter of 192 inches and a height of 20 feet. What is it's capacity in cubic feet? 1 solutions Answer 371977 by Alan3354(30993)   on 2012-03-04 20:29:10 (Show Source): You can put this solution on YOUR website! A gasoline storage tank has a diameter of 192 inches and a height of 20 feet. What is it's [sic] capacity in cubic feet? ------------ d = 16 ft --> r = 8 ft ================ it's = it is

percentage/582158: i dont know if constant or variable is on the thing obove 1 solutions Answer 371974 by Alan3354(30993)   on 2012-03-04 20:21:23 (Show Source): You can put this solution on YOUR website! i dont know if constant or variable is on the thing obove -------- I don't know either.

Trigonometry-basics/582150: How do I convert a decimal answer to a radical such as sin 7π divided by 6? I know it’s going to be a radical answer but how do I know what the right radical answer is? 1 solutions Answer 371971 by Alan3354(30993)   on 2012-03-04 20:20:09 (Show Source): You can put this solution on YOUR website! How do I convert a decimal answer to a radical such as sin 7π divided by 6? I know it’s going to be a radical answer but how do I know what the right radical answer is? ------------------ If 7pi/6 is the angle in radians, sin(7pi/6) = -0.5 =================== I don't know what you mean about the radical??? maybe?

Numeric_Fractions/582178: how does 17/3 + 3/8 = 145/24 1 solutions Answer 371968 by Alan3354(30993)   on 2012-03-04 20:15:38 (Show Source): You can put this solution on YOUR website! how does 17/3 + 3/8 = 145/24 -------- (17/3)*(8/8) = 136/24 (3/8)*(3/3) = 9/24

Quadratic_Equations/582171: The number of horsepower, H, needed to overcome a wind drag on an automobile is given by H=0.005s^2 + 0.007s - 0.031, where s is the speed of the car in miles per hour. At what speed will the car need to travel to use 200 horsepower to overcome the wind drag? I tried this several ways and still came up with 199.32 miles per hour which my teacher says is wrong. Please help. 1 solutions Answer 371967 by Alan3354(30993)   on 2012-03-04 20:08:31 (Show Source): You can put this solution on YOUR website! The number of horsepower, H, needed to overcome a wind drag on an automobile is given by H=0.005s^2 + 0.007s - 0.031, where s is the speed of the car in miles per hour. At what speed will the car need to travel to use 200 horsepower to overcome the wind drag? ---------------- H=0.005s^2 + 0.007s - 0.031 0.005s^2 + 0.007s - 0.031 = 200 5s^2 + 7s - 31 = 200000 5s^2 + 7s - 200031 = 0 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=4000669 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 199.316724300744, -200.716724300744. Here's your graph: ==================== Ignore the negative solution. ------------- I get the same answer.

Trigonometry-basics/582125: how do i find the exact value of 2cos2x=1 1 solutions Answer 371955 by Alan3354(30993)   on 2012-03-04 19:05:15 (Show Source): You can put this solution on YOUR website! how do i find the exact value of 2cos2x=1 ---------- The exact value of what? If you mean the exact value of x, cos(2x) = 1/2 Find 2x, its cosine is 1/2 Divide it by 2

test/582137: How do you graph y=x-4 1 solutions Answer 371952 by Alan3354(30993)   on 2012-03-04 19:03:22 (Show Source): You can put this solution on YOUR website! How do you graph y=x-4 ---------- It's a straight line, so you need 2 points. Pick 2 values for x and find y. Plot the points. Draw a line thru them.

Surface-area/582138: what is the length of a base triangle to the nearest 1/16 1 solutions Answer 371951 by Alan3354(30993)   on 2012-03-04 19:02:09 (Show Source): You can put this solution on YOUR website! what is the length of a base triangle to the nearest 1/16 ------------- What?

Surface-area/582078: form a rectangle with an area of 12 units sqared 1 solutions Answer 371948 by Alan3354(30993)   on 2012-03-04 18:54:21 (Show Source): You can put this solution on YOUR website! form a rectangle with an area of 12 units sqared ---------- Ok. Now what?

Rate-of-work-word-problems/582094: lisa can shovel snow from her driveway in 60 minutes. bill can do the same in 55 minutes. how long would it take lisa and bill to shovel the driveway if they worked together? 1 solutions Answer 371947 by Alan3354(30993)   on 2012-03-04 18:52:35 (Show Source): You can put this solution on YOUR website! lisa can shovel snow from her driveway in 60 minutes. bill can do the same in 55 minutes. how long would it take lisa and bill to shovel the driveway if they worked together? --------------- Lisa does 1/60 per minute Bill does 1/55 per minute ------------ What do they do together? How long does it take working together?

Travel_Word_Problems/582126: the car traveled 350 miles on 15 gallons of gas. the car averaged how many miles per gallon 1 solutions Answer 371946 by Alan3354(30993)   on 2012-03-04 18:47:39 (Show Source): You can put this solution on YOUR website! the car traveled 350 miles on 15 gallons of gas. the car averaged how many miles per gallon ------------- Hint: miles per gallon = # of miles/# of gallons

Polynomials-and-rational-expressions/582099: Does anyone have a easy way to factor? Her is a problem I just don't know how to do. 9ax^3+15ax^2-14ax 1 solutions Answer 371937 by Alan3354(30993)   on 2012-03-04 18:24:46 (Show Source): You can put this solution on YOUR website! Does anyone have a easy way to factor? Her is a problem I just don't know how to do. 9ax^3+15ax^2-14ax ------------------- There is no easy way. You find the combination that works. ------ In this one, all 3 terms have an a & and x. Factor those out 1st. That leaves 9x^2 + 15x - 14 ------ It'll be (ax + b)*(cx + d) a*b = 9, so that's either 1*9 or 3*3 b*d = 14, so that's either 1*14 or 2*7 with different signs (one +, one minus) Then you find a combination that gives +15x

Complex_Numbers/582098: how do you solve: (1-4i)/(2+3i) i indicates a number that is imaginary ( sqrt of -1) thanks so much 1 solutions Answer 371935 by Alan3354(30993)   on 2012-03-04 18:22:00 (Show Source): You can put this solution on YOUR website! how do you solve: (1-4i)/(2+3i) ------- You don't solve it. There's no variable to solve for. The goal is to rationalize the denominator, ie, get the i out of it. --------- (1-4i)/(2+3i) Multiply the NUM and DEN by the conjugate of the DEN, 2-3i = (1-4i)(2-3i)/((2+3i)(2-3i)) = (2 - 11i +12i^2)/(4 - 9i^2) = (2 - 11i - 12)/(4 + 9) = (-10 - 11i)/13 or -10/13 - i(11/13)

Polynomials-and-rational-expressions/582100: Does anyone have a easy way to factor? Her is a problem I just don't know how to do. 2y^2-2y-112 1 solutions Answer 371933 by Alan3354(30993)   on 2012-03-04 18:15:58 (Show Source): You can put this solution on YOUR website! Does anyone have a easy way to factor? Her is a problem I just don't know how to do. 2y^2-2y-112 ------------- All the coefficients are even numbers. 2y^2-2y-112 = 2(y^2 - y - 56) 56 = 7*8 =============== This one is not hard. ------- If the coeff's of the x^2 term and the units have a lot of factors, it's harder. eg 24x^2 - 34x - 45

�t�e�s�t/582037: What is the answer to find the third derivative? f(x)=3x^(5)–7x^(3)+2x^(2)+5 1 solutions Answer 371929 by Alan3354(30993)   on 2012-03-04 17:39:38 (Show Source): You can put this solution on YOUR website! What is the answer to find the third derivative? f(x)=3x^(5)–7x^(3)+2x^(2)+5 ------------- The "answer to find it" is a mystery to me. ----- If you want to find the 3rd derivative: f(x)=3x^(5)–7x^(3)+2x^(2)+5 f' = 15x^4 - 21x^2 + 4x f'' = 60x^3 - 42x + 4 f''' = 180x^2 - 42