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# Recent problems solved by 'Electrified_Levi'

 test/164959: This question is from textbook Elementary and Intermediate 14.) Solve each equation by using the quadratic formula -8q^2-2q+1=0 1 solutions Answer 121580 by Electrified_Levi(103)   on 2008-10-30 18:04:42 (Show Source): You can put this solution on YOUR website!Hi, Hope I can help, . 14.) Solve each equation by using the quadratic formula . First we have to but the equation in the standard form . It is already in that form. (x is replaced with q) . , . A = (-8) B = (-2) C = 1 . We have to know the quadratic equation, which is . . We can replace A with (-8), B with (-2), C with "1" . = = = = = . There are two answers that "q" can equal ( + 6, - 6 ) . = = . = = . q can be , and . You can check by replacing "q" with "", and "" in the original equation, . q = , = = = = = (True) . q = , = = = = = = (True) . q = . q = . Here is the graph of the equation . . Where the curved line crosses the x axis, are the solutions to the equation . The curved line crosses where "q"(or "x") = , it also crosses the x axis where "q"(or "x") = . The two solutions are . q = . q = . Hope I helped, Levi
 Functions/162116: This question is from textbook Solve each of the followning problems by setting up and solving an alebraic equation. One of two supplementary angles is five times as large as the other. Find the measue of each angle.1 solutions Answer 119467 by Electrified_Levi(103)   on 2008-10-14 18:36:19 (Show Source): You can put this solution on YOUR website!Hi, Hope I can help, . Solve each of the following problems by setting up and solving an algebraic equation. One of two supplementary angles is five times as large as the other. Find the measure of each angle. . Supplementary angles always add up to 180 degrees, so both angles will add up to 180 . We need to find the two angles in variable form . One of two supplementary angles is five times as large as the other. . First angle = . Second angle = , we can name the " other angle", "x" . Other angle = , we can replace "other angle" with , in our two angles . First angle = = . Second angle = . Since these two angles add up to 180, we can put the angles into an equation, we will add the two angles together, and they equal 180 . First angle = . Second angle = . , we can now solve for "x" . = = , to find "x" divide each side by "6" . = = = = . x = , we can check by replacing "x" with "30" in the original equation . = = = = ( True ) . x = , we can replace "x" with "30" in our angle measurements . First angle = = = . Second angle = = = . is 5 times the second angle . First angle = degrees . Second angle = degrees . Hope I helped, Levi
 absolute-value/162028: WHICH EQUATIONS OF LINES PASS THROUGH 0,6 Y=6X+5 Y=5X+6 Y=5X+3 Y=4X+61 solutions Answer 119411 by Electrified_Levi(103)   on 2008-10-14 12:29:45 (Show Source): You can put this solution on YOUR website!Hi, Hope I can help . WHICH EQUATIONS OF LINES PASS THROUGH 0,6 Y=6X+5 Y=5X+6 Y=5X+3 Y=4X+6 . Points are given as (x,y) . Point (0,6)(x,y), it means "x" = "0", "y" = "6" . To find if point (0,6) is a point on a line, all you do is replace "x" and "y" in the equations with the point, in this case (0,6) . Replace "x" with "0", and "y" with "6", in all of the equations . (0,6), = = = (False) . (0,6), = = = ( True) ( Point (0,6) is a point on the line ) . (0,6), = = = ( False ) . (0,6), = = = ( True ) ( Point (0,6) is a point on the line ) . Here are the lines on a graph . Blue Line = Redish Brown Line = Green Line = Purple Line = . . The line equations, and , have (0,6) as a point . Hope I helped, Levi
 Graphs/161909: This question is from textbook college algebra can somebody help me solve this problem. i need to find the equation of the line with these characteristics. I need to express my answer using either the general form or the slope-intercept form of the equation of the line. x-intercept=2; containing the point (4,-5) i forgot how to find the slope with only the, x-intercept = 2 given. 1 solutions Answer 119330 by Electrified_Levi(103)   on 2008-10-13 22:09:37 (Show Source): You can put this solution on YOUR website!Hi, Hope I can help, . can somebody help me solve this problem. i need to find the equation of the line with these characteristics. I need to express my answer using either the general form or the slope-intercept form of the equation of the line. x-intercept=2; containing the point (4,-5) i forgot how to find the slope with only the, x-intercept = 2 given. . The slope intercept form of the equation is , where "m" is the slope, "b" is the y-intercept . The x-intercept is the point where the line crosses the "x" axis . x intercept is given as the point ( p, 0 ) where "p" is the "x intercept number", in our case, it would be ( 2,0 ) . Now we have another point (2,0) . Now that we have two points we can find the slope of the line . The two points are (2,0) and (4, -5) . (2,0)(x1,y1) and (4, -5)(x2,y2) . The slope equation is , we can replace the variables with numbers . Our slope = = = . Our slope = . Our slope intercept form is , "m" is our slope, so we can replace "m" with . Our equation is now , to find "b", we will replace "x" and "y" with one of our two points ( doesn't matter which one ) ( we will use point (2,0), replace "x" with "2", "y" with "0") . (2,0)(x,y) , = = , we will move (-5) to the left side . = = = , we found "b", we can replace "b" with "5" in the original equation . = = . is the slope intercept form of the equation, for the general equation, we will multiply each side by "2" . = = = = , we will move (-5x) to the left side . = = , rearranging it becomes . = . is the general/standard form, we can check our equation by replacing "x" and "y" with both of our two points . The two points are (2,0) and (4, -5) . (2,0)(x,y) = = = = ( True ) . (4, -5)(x,y) = = = = = ( True ) . is the slope-intercept form of the equation . is the general/standard form of the equation . This is the line on a graph . . Hope I helped, Levi
 Miscellaneous_Word_Problems/161856: An ice cream truck stocks 5 gallons of peach ice cream each week. This is 17 gallons less than twice the amount of vanilla ice cream that the truck stocks each week. Find the number of gallons of vanilla ice cream stocked each week. a. 9 gallons b. 6 gallons c. 16 gallons d. 11 gallons1 solutions Answer 119284 by Electrified_Levi(103)   on 2008-10-13 19:07:49 (Show Source): You can put this solution on YOUR website!Hi, Hope I can help, . An ice cream truck stocks 5 gallons of peach ice cream each week. This is 17 gallons less than twice the amount of vanilla ice cream that the truck stocks each week. Find the number of gallons of vanilla ice cream stocked each week. a. 9 gallons b. 6 gallons c. 16 gallons d. 11 gallons . First we have to find the variable for number of gallons of vanilla ice cream. We can name the number "x". There is "x" number of gallons of vanilla ice cream stocked each week. . Now that we know how many gallons of vanilla ice cream ( "x" ), we can put it in a formula and solve for "x" . An ice cream truck stocks 5 gallons of peach ice cream each week. This is 17 gallons less than twice the amount of vanilla ice cream that the truck stocks each week. . It is saying that " 5 gallons of peach ice cream is 17 gallons less than twice the amount of vanilla ice cream that the truck stocks each week" . Let us change the word problem into a formula . " 5 gallons of peach ice cream is 17 gallons less than twice the amount of vanilla ice cream that the truck stocks each week" . " 5 gallons of peach ice cream = 17 gallons less than twice the amount of vanilla ice cream that the truck stocks each week" . " 5 gallons of peach ice cream = 2(amount of vanilla ice cream that the truck stocks each week) - 17 gallons " . the amount of vanilla ice cream is "x" . " 5 gallons of peach ice cream = 2(x) - 17 gallons " . we can get rid of the words, we only need numbers . , now we can solve for "x" . = . Move (-17) to the left side . = = , rearranging we get . = . We can now divide each side by "2" to get "x" . = = . , we can check by replacing "x" with "11" in the original equation . = = = ( True ) . , since "x" was the number of gallons of vanilla ice cream stocked each week. The truck stocks 11 gallons of vanilla ice cream each week . 11 gallons of vanilla ice cream is your answer, which is answer "d" . Hope I helped, Levi
 Numbers_Word_Problems/161503: The sum of two numbers is 15. Three times one of the numbers is 11 less than 5 imes the other. The answer is 7 and 8. I just don't know how to set it up to solve.1 solutions Answer 118968 by Electrified_Levi(103)   on 2008-10-11 14:19:20 (Show Source): You can put this solution on YOUR website!Hi, Hope I can help, . The sum of two numbers is 15. Three times one of the numbers is 11 less than 5 imes the other. The answer is 7 and 8. I just don't know how to set it up to solve. . We have to name the two numbers, we will name the first number "x", the second "y" . There are two equations . (1) The sum of two numbers is 15. Since we know the numbers ("x" and "y"), we can put the words as an equation . The sum of two numbers( "x" and "y") is 15. = = , this is the first equation . (2) Three times one of the numbers is 11 less than 5 times the other. We know the numbers ( "x" and "y" ), we can put the words as an equation . Three times one of the numbers("x") is 11 less than 5 times the other("y") = = , this is the second equation . Our two equations are . (1) . (2) . These are systems of equations, we can solve these problems several ways. . This is the way I usually solve these problems . First solve for a letter in both equations (doesn't matter which one, usually the easiest), we will solve for "x" in both equations . (1) , to solve "x" we will move "y" to the right side . = = , rearranging, = . , our first answer is . Lets solve "x" in our second equation . (2) , to solve "x" we will divide each side by "3" . = = . , our second answer is . Our two answers are . . . Since both our answers equal "x", the two answers equal each other . We can put them in an equation . , now we just solve for "y" . = . We will cross multiply . = = , rearranging . = , we will use distributive property . = = = (since it was a negative "11") . , we will move (-3y) to the right side . = = , we will now move (-11) to the left side . = , , divide each side by "8", . = = , rearranging, . , "y" = , we can find "x" by replacing "y" with "7" in one of our two equations . (1) . (2) . We will use the first equation (replace "y" with "7") . = = = = . , , you can check by replacing "x" with "8", "y" with "7", in both of our equations . (1) = = (True) . (2) = = = ( True ) . , . Hope I helped, Levi
 Length-and-distance/161041: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM: Solve the problem: Janet drove 256 kilometers and the trip took 4 hours. How fast was Janet traveling?1 solutions Answer 118657 by Electrified_Levi(103)   on 2008-10-08 18:45:08 (Show Source): You can put this solution on YOUR website!Hi, Hope I can help, . CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM: Solve the problem: Janet drove 256 kilometers and the trip took 4 hours. How fast was Janet traveling? . This problem is pretty easy, we will use the distance formula ( D ( distance) = R (rate) * T ( time ) ) . Janet drove 256 kilometers and the trip took 4 hours. How fast was Janet traveling? . Janet travels 256 kilometers, our "D", we are trying to find the "R" (rate), it takes Janet 4 hours, our "T" (Time) . In our equation,, , we are trying to find "R" . Since , lets replace the letters with the numbers we know . = , rearranging, = . = = , to find "R" we will divide each side by "4" . = = . Janet was traveling kilometers per hour ( since our "D" was given in kilometers, Our "T" was given in hours ) . We can check by replacing "R" with "64" in our equation . = = (True) . Janet was traveling kilometers per hour, which is your answer . Hope I helped, Levi
 Unit_Conversion_Word_Problems/159100: Determine the value of "a" so that the line through (5,8) and (a,6) has a slope of -3/41 solutions Answer 117227 by Electrified_Levi(103)   on 2008-09-26 18:09:31 (Show Source): You can put this solution on YOUR website!Hi, Hope I can help, . Determine the value of "a" so that the line through (5,8) and (a,6) has a slope of . First we have to know what the slope is. The slope is how steep the line is. It is the slant of the line . These lines have negative slopes . . As you can see, a slope that is negative means, the line (from left to right) is going down . Here are some lines with positive slopes . . As you can see a slope that is positive, means the line(from left to right) is going up . Now that you know a little about slopes lets do the problem . Determine the value of "a" so that the line through (5,8) and (a,6) has a slope of . The slope is negative, so the line is going down(from left to right) . Here is one way to solve this kind of problem . . If the point is (2,4) find a point (6,c) if the slope is . The slope is negative, so the line is going down. . The slope is , or . Since the slope is negative, , . A slope of means you go down "7" and over to the right "4" times . If we do that, we will get our point . . The point is (6,-3) . There is yet another way to solve this kind of problem . Determine the value of "a" so that the line through (5,8) and (a,6) has a slope of . We use the slope equation = . (ex. slope of (1,2)(x1,y1) and (2,4)(x2,y2), equation = . Replace the variables . = = , these two lines have slope of "2" . we can do the same for our problem . Determine the value of "a" so that the line through (5,8)(x1,y1) and (a,6)(x2,y2) has a slope of . Replace the variables in the equation = = = , we already know the slope, this equation we have = . Our equation = , now just solve for "a" . . We will use cross multiplication . = = = . Using distribution . = = = ( since the "5" is negative, it will make a positive "15" since the "3" is negative too) . We will move "15" to the left side . = = . We will multiply each side by (-1) . = = = , divide each side by "3" to get our "a" . = = . We can check by replacing "a" with in our equation . = = = = = = (True) . a = . We found our point, if our point was (a,6), just replace "a" with , our point is (,6) . Here are the two points . Now draw a line through these points, this line has a slope of . . The line equation = (slope -intercept form), or (standard form) . The point you were looking for is (,6) . Your answer is (,6) . Hope I helped, Levi
 Equations/158976: The length of a rectangular playing field is 5 meters less than twice its width. if 230 meters of fencing goes around the field, find the dimensions of the field.1 solutions Answer 117089 by Electrified_Levi(103)   on 2008-09-25 19:03:24 (Show Source): You can put this solution on YOUR website!Hi, Hope I can help . The length of a rectangular playing field is 5 meters less than twice its width. if 230 meters of fencing goes around the field, find the dimensions of the field. . First we have to find variables for length and width . The length of a rectangular playing field is 5 meters less than twice its width. . We can name the width "x" . The length of a rectangular playing field is 5 meters less than twice its width, if the width is "x", and the length is 5 meters less than twice the width, this is how you right the length, , width = "x" = . The length = . The width = . Since 230 meters of fencing goes around the field, we are trying to find the Perimeter of the field . The length = . The width = . The Perimeter of a Rectangle is = . They give us the Perimeter, 230 meters, so we can replace "Perimeter" with "230" . = . Since the width = , and the length = , we can replace "width" and "length" with our variables . = , now just solve for "x" . We will get rid of the parentheses, and use distribution . = = = (Since the "5" is negative the number will be negative) . Add like terms . = = . We will move (-10) to the right side . = = , To solve "x" we will divide each side by "6" . = = = . x = "40", we can check by replacing "x" with "40" in our equation . = = = = = ( True ) . x = "40" . Our width and length in variable form were:(Just replace "x" with "40" in our equations) . The length = = = = 75 . The width = = 40 . Since the unit is the meter, our answers would be . The Length = 75 meters . The Width = 40 meters . Hope I helped, Levi
 Angles/158825: Could you help with this problem? It is from a worksheet. The excess of an angle over its supplement is 20 degrees. Find the angle. I tried x/180-x = 20 It doesn' come out even.1 solutions Answer 116978 by Electrified_Levi(103)   on 2008-09-24 22:14:07 (Show Source): You can put this solution on YOUR website!Hi, Hope I can help, . Could you help with this problem? It is from a worksheet. The excess of an angle over its supplement is 20 degrees. Find the angle. I tried x/180-x = 20 It doesn' come out even. . Supplementary angles always add up to 180 degrees . first we have to find the variables of the angles . The excess of an angle over its supplement is 20 degrees (excess means exceeding, or more than) . One angles would be "x" . The other angle ( The excess of an angle over its supplement is 20 degrees) is "x+20" ( This angle is 20 degrees more than the first angle "x") . One angle = degrees . The second angle = degrees . Now just add the angles together (supplementary angles add up to 180 degrees . The equation would be , now just solve for "x" . = , add like terms . = = . Move "20" to the right side . = = . To solve for "x" we will divide each side by "2" . = = . x = . We can check by replacing "x" with "80" in our equation . = = = = (True) . x = . Our two angle measurements were: (Replace "x" with "80" ) . One angle = degrees, degrees . The second angle = degrees, degrees, degrees . The two angles add up to 180 degrees, = (True) . The two angles are: . 1. degrees 2. degrees, (the first angle's supplement) . Hope I helped, Levi
 Linear-systems/158543: Solve the system by graphing. 3x-2y=4 -6x+4y=71 solutions Answer 116811 by Electrified_Levi(103)   on 2008-09-23 11:41:36 (Show Source): You can put this solution on YOUR website!Hi, Hope I can help . Solve the system by graphing. . Points are given as (x,y), to find points on both of these lines, you just replace "x" with any number and solve for "y" . Lets find some points on the first line . , (we can use any number for "x", then we solve for "y" . Lets replace "x" with "2", = = . We will move (-2y) over to the right side . = = , we will move "4" to the left side . = = = . To get "y", we will divide each side by "2" . = = , . "x" = 2 "y" = 1 . Since points are given as (x,y), this point would be (2,1) . (2,1) is a point of the line(We can check by replacing "x" with "2", "y" with "1", = = = (True) . . Lets find another point, . Lets replace "x" with "0" . = = = . We can multiply each side by (-1) to get (-2y) positive . = = , to find "y" we will divide each side by "2" . = = . "x" = 0 "y" = (-2) . Another point on the line is (0,-2)(x,y)(we can check by replacing "x" with "0", "y" with (-2), = = = (True) . . Another point on the line is (-4,-8), We can check by replacing "x" with (-4), "y" with (-8), = = = (True) . . Lets draw a line through the points, . . Now lets find some points for the second equation, . Lets replace "x" with , = = . "4y" has to equal "4", so , divide each side by "4", = = . x = y = 1 . One point on the line is (,1 )(We can check by replacing "x" with ,"y" with "1", = = = (True) . . Replace "x" with "4", = = . "4y" will have to equal "31", , dividing each side by "4" will get "y" . = = . x = 4 y = , or 7 . The point is (4,), (we can check by replacing "x" with "4", "y" with , = = = (True) . . Another point on the line is ( 0, ), ( we can check by replacing "x" with "0", "y" with "", = = = (True) . . Lets draw a line through the points . . These lines are parallel, they don't have any points that intersect each other, there is no solution to the system of equations . Hope I helped, Levi
 Numbers_Word_Problems/158483: Five more than 1/4 of a number is 2/3 of that number. Find the number1 solutions Answer 116747 by Electrified_Levi(103)   on 2008-09-22 20:41:11 (Show Source): You can put this solution on YOUR website!Hi, Hope I can help, . Five more than of a number is of that number. Find the number . We are trying to find a number, since we need to find one number, we have 1 variable . We will name the variable/number "x" . Five more than of a number is of that number. Find the number(replace "a number", and "that number" with "x") . Five more than of "x" is of "x". Find the number . This is how you would write the equation . . We will multiply it out . = = . We will need to get rid of the fraction by multiplying each side by "12" . = = = . = = = . We will need to move "3x" to the right side . = = = = . To find "x"(our number) we will divide each side by "5" . = = = . "12" is our number, we can check by replacing "x" with "12" in our equation . = = = = (True) . Your answer is . Hope I helped, Levi
 Graphs/158477: Find The slope and y-intercept of the graph of the equation y=7x+31 solutions Answer 116746 by Electrified_Levi(103)   on 2008-09-22 19:57:15 (Show Source): You can put this solution on YOUR website!Hi, Hope I can help, . Find The slope and y-intercept of the graph of the equation . This is the slope intercept form, the general form = ( where "m" is the slope, "b" is the y intercept) . y intercept = (0,y), where the line intercepts the y axis("x" = 0, "y" = any number(depends where the line crosses the y axis)) . In our equation ( ) . Slope = "7" . Y intercept = "3", the point = (0,3) . Hope I helped, Levi
 Evaluation_Word_Problems/158450: I have no idea how to set up this problem! Once the equation is set up i know how to solve it. Do you have any suggestions concerning word problems? HERE'S THE EQUATION... A coin purse contains an equal number of nickels, dimes and quarters. The total amount of money in the purse is 680 cents. How many nickels are in the coin purse? 1 solutions Answer 116743 by Electrified_Levi(103)   on 2008-09-22 19:02:42 (Show Source): You can put this solution on YOUR website!Hi, Hope I can help, . I have no idea how to set up this problem! Once the equation is set up i know how to solve it. Do you have any suggestions concerning word problems? . HERE'S THE EQUATION... A coin purse contains an equal number of nickels, dimes and quarters. The total amount of money in the purse is 680 cents. How many nickels are in the coin purse? . This is how you set it up, since there are an equal number of each coin, we really only have one variable "x"(number of each coin . It tells us the value in the purse, we have to know the value of each coin(25 cents = quarter, 10 cents = dime, 5 cents = nickels) . To find the value of each coin that is in the purse, we multiply the value of the coin, by the number of coins(examples: five quarters will have a value of = = cents, seven nickels will have a value of = = cents) . In our case, the values of each coin are . Quarters = = = . Dimes = = = . Nickels = = = . If we add all of our values(25x,10x,5x) together, it will come up with a total value of 680 cents . Our equation = , now we can solve for "x" . = , to get "x" we will divide each side by "40" . = = . There are 17, of each coin, . you can check by replacing "x" with "17" in our equation . = = = ( True ) . your answer is . Hope I helped,Levi
 Proportions/158417: what is the answer for x/5=10/13 1 solutions Answer 116737 by Electrified_Levi(103)   on 2008-09-22 18:20:59 (Show Source): You can put this solution on YOUR website!Hi, Hope I can help . what is the answer for . You have to get "x" by itself, to get rid of the fraction and solve for "x" you would just multiply each side by "5" . = = = = = . x = , we can check our answer by replacing "x" with in our equation . = = = = = = = = (True) . x = . You can also solve the answer this way, . Since these are equal fractions, we can use cross multiplication . = = = . To find "x" divide each side by "13" . = = = = . You can also check by using cross multiplication(replace "x" with ) . = = = = = (True) . x = . Hope I helped, Levi
 Linear-equations/158073: Can someone help me with this one. Determine whether the graphs of the equations are parallel lines, perpendicular lines or niether. 3x - 8y = -18 32x + 12y = -18 Thank you!1 solutions Answer 116469 by Electrified_Levi(103)   on 2008-09-20 18:09:22 (Show Source): You can put this solution on YOUR website!Hi, Hope I can help, . Can someone help me with this one. Determine whether the graphs of the equations are parallel lines, perpendicular lines or niether. Thank you! . First we have to get the two lines in the slope intercept form, ("m" is the slope, "b" = y intercept) . First equation . . We will move (-8y) to the right side . = = . We will move (-18) to the left side . = = . = , To get it in slope intercept form, we have to divide each side by "8" . = = . = = . is the slope intercept equation of , we can check our answer by replacing "x" and "y" with any point on the line, in both of the different forms of equation . We will use the points (-6,0)(x,y) and ( 2, 3)(x,y)( replace "x" with (-6), replace "y" with "0" for our first check, replace "x" with "2", replace "y" with "3" in our second check . (-6,0), = = = (True) . (-6,0), = = = = (True) . Lets check with a different point . (2,3) , = = = (True) . (2,3) , = = = = = (True) . is our first answer . Second equation (We are changing equation into slope intercept form ) . . We need to move "32x" to the right side . = = . = , To get the equation in slope intercept form, we will divide each side by "12" . = = = . = . The slope intercept form of the equation is . Lets check using two points again, Lets use (0, ) and (, 0)(We will do the first point first) . (0, ), = = = (True) . (0, ), = = = (True) . Second check(second point) . (, 0) , = = = (True) . (, 0), = = = = (True) . is our second answer. . Our two equations in slope intercept form are . . . The slope of the first line is , the slope of the second line is . If two lines are parallel, their slopes would be the same(our lines are not parallel) . If two lines are perpendicular, their slopes are the negative reciprocal of each other . (examples of negative reciprocals: and , and , and , to find the negative reciprocal of a number, switch the denominator and numerator with each other and add a negative sign) . Our two lines are perpendicular, is the negative reciprocal of ( the numbers to the right of the "x" , Our "b's" don't have to be the same) . Here are the two lines in a graph( lines are in slope-intercept form) . = green line . = red line . . As you can see the lines are perpendicular . Hope I helped, Levi