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 Linear-systems/623105: 6x+2=3y-4 Find x. How do I solve this? Thank you.1 solutions Answer 391982 by Alan3354(30983)   on 2012-06-23 14:33:11 (Show Source): You can put this solution on YOUR website!6x+2=3y-4 Find x. How do I solve this? -------------- I found it, it's on the left side next to the 6. ========= Ok, let's get serious. You can solve for x in terms of y. get the x on one side of the = by itself. ---- 6x+2 = 3y + 4 Subtract 2 6x = 3y + 2 Divide by 6 x = (3y/6) + (2/6) or, x = (3y+2)/6 x = y/2 + 1/3 Either is acceptable
 Travel_Word_Problems/623238: . Cars and taxis have an odometer which measures the distance travelled in kilometers. While going by a car, note down the number of kilometers travelled after every 10 minutes. Draw the distance – time graph. 1 solutions Answer 391981 by Alan3354(30983)   on 2012-06-23 14:28:34 (Show Source): You can put this solution on YOUR website!. Cars and taxis have an odometer which measures the distance travelled in kilometers. While going by a car, note down the number of kilometers travelled after every 10 minutes. Draw -------------- You'll have to do that yourself.
 test/623109: X+y=1 x-2y=41 solutions Answer 391962 by Alan3354(30983)   on 2012-06-23 12:31:03 (Show Source): You can put this solution on YOUR website!x +y=1 x-2y=4 -------- Subtract
 Travel_Word_Problems/623226: leaving at 7:00 am traveling 256 miles and traveling at a speed of 70 miles per hour. I will fill my car up with 15 gallons of gas at \$3.35 per gallon, and gets 20 miles per gallon on the highwy. 1. what time will i arrive at my destination and how many hours 2. how much will my trip cost 3. how much gas will i use4. how di how did you get your answers 1 solutions Answer 391961 by Alan3354(30983)   on 2012-06-23 12:27:56 (Show Source): You can put this solution on YOUR website!leaving at 7:00 am traveling 256 miles and traveling at a speed of 70 miles per hour. ----------- d = r*t t = d/r = 256/70 t =~ 3.657 hours t = 3 hr 39 mins Arv @ 10:39
 Graphs/623155: Graph f(x)=x^3-3x^2 1 solutions Answer 391956 by Alan3354(30983)   on 2012-06-23 11:58:51 (Show Source): You can put this solution on YOUR website!Graph f(x)=x^3-3x^2 ------------ Pick values for x and find y (or f(x)) Plot the points Draw a curve thru them. ------------- You can use Excel to make a table. ---- You can dl the FREE graph software at http://www.padowan.dk Use Insert, enter x^3 - 3x^2
 Travel_Word_Problems/623222: leaving at 7:00 am traveling 256 miles. I will fill my car up with 15 gallons of gas at \$3.35 per gallon, and gets 20 miles per gallon on the highwy. 1. what time will i arrive at my destination and how many hours 2. how much will my trip cost 3. how much gas will i use how did you get your answers 1 solutions Answer 391954 by Alan3354(30983)   on 2012-06-23 11:56:26 (Show Source): You can put this solution on YOUR website!leaving at 7:00 am traveling 256 miles. I will fill my car up with 15 gallons of gas at \$3.35 per gallon, and gets 20 miles per gallon on the highwy. 1. what time will i arrive at my destination and how many hours You have to specify the speed. =========================== 3. how much gas will i use 256 mi/20 mi/gal = 12.8 gallons =========== 2. how much will my trip cost 12.8 gallons * \$3.35/gallon = \$42.88 ---------- The 15 gallon fillup is not relevant. how did you get your answers
 Trigonometry-basics/623198: Find the exact value of sin θ, if cos θ = 4/5 and θ lies in quadrant IV.1 solutions Answer 391951 by Alan3354(30983)   on 2012-06-23 11:35:15 (Show Source): You can put this solution on YOUR website!Find the exact value of sin θ, if cos θ = 4/5 and θ lies in quadrant IV. -------------- Plot the terminal point on the x-y grid x = 4, r = 5 y = 3 (by Pythagoras) --> -3 in Q4 sin = y/r sin = -3/5 ------------- Or do it this way: sin^2 + cos^2 = 1 sin = sqrt(1 - cos^2) = 3/5 or -3/5 Q4 --> -3/5
 Travel_Word_Problems/623217: i am going on a family trip, leaving at 7:00 am tarveling 256 miles. My car holds 15 gallons of gas at a price of \$3.35 per gallon. 1. what time will i arrive at my destinatin 2. how much will my trip cost 3.how much gas will i use driving 256 miles1 solutions Answer 391950 by Alan3354(30983)   on 2012-06-23 11:25:13 (Show Source): You can put this solution on YOUR website!i am going on a family trip, leaving at 7:00 am tarveling 256 miles. My car holds 15 gallons of gas at a price of \$3.35 per gallon. ================================ 1. what time will i arrive at my destinatin Need to specify the speed. -------------- 2. how much will my trip cost Need to specify fuel consumption rate. ---------- 3.how much gas will i use driving 256 miles Same as #2
 Evaluation_Word_Problems/623150: Please help me solve this word problem of variation. The volume rate of flow R of blood through an artery varies directly as the fourth power of the radius r of the artery and inversly as the distance d along the artery. If an operation is successful in effectively increasing the radius of an artery by 25% and decreasing its length by 2%, by how much is the volume rate of flow increased?1 solutions Answer 391948 by Alan3354(30983)   on 2012-06-23 11:20:08 (Show Source): You can put this solution on YOUR website!The volume rate of flow R of blood through an artery varies directly as the fourth power of the radius r of the artery and inversly as the distance d along the artery. If an operation is successful in effectively increasing the radius of an artery by 25% and decreasing its length by 2%, by how much is the volume rate of flow increased? -------------- Use F1 for flow, F2 for flow after surgery, r for radius & L for length F1 = k*r^4*L --> F2 = k*(1.25r)^4/(0.98L) F2 =~ k*2.4414/0.98r^4*L F2/F1 =~ 2.4912 Increase = F2/F - 1 = 1.4912 ---------------- It's 2.49 times the original Increased 1.49 times the original, a 149% increase.
 Quadratic_Equations/623139: how can i solve this 18z + 45 + z2 1 solutions Answer 391945 by Alan3354(30983)   on 2012-06-23 11:13:10 (Show Source): You can put this solution on YOUR website!how can i solve this 18z + 45 + z2 ----------- Equations are solved. That has no equal sign --> not an equation.
 test/623205: How do u do this: (13-3)2-squared1 solutions Answer 391944 by Alan3354(30983)   on 2012-06-23 11:11:24 (Show Source): You can put this solution on YOUR website!How do u do this: (13-3)2-squared --------- Do what? It's not clear what you want to do. 2 minus squared ?
 Linear-equations/623212: x+4y-6=0 1 solutions Answer 391943 by Alan3354(30983)   on 2012-06-23 11:10:28 (Show Source): You can put this solution on YOUR website!x+4y-6=0 -------- Thx for letting us know. Do you have a question?
 Triangles/623215: find the % increase in the area of the triangle if its each side is doubled1 solutions Answer 391942 by Alan3354(30983)   on 2012-06-23 11:08:14 (Show Source): You can put this solution on YOUR website!find the % increase in the area of the triangle if its each side is doubled ------------- Area is a function of the square of the sides --> 4 times the area = 300% increase
 Sequences-and-series/623186: per favore mi potete aiutere perchè non ho capito questo problema: in un rettangolo una dimensione è il triplo dell' altra e la loro somma misura 120 cm. calcola il perimetro di un triangolo equilatero il cui lato è congruente al doppio della dimensione minore del rettangolo. grazie mille 1 solutions Answer 391918 by Alan3354(30983)   on 2012-06-23 08:32:40 (Show Source): You can put this solution on YOUR website!Please can I aiutere because I did not understand this problem: a dimension of a rectangle is three times the 'other and their sum is 120 cm. L = 3W L + W = 120 cm ----- 3W + W = 120 W = 30 cm L = 90 cm --------- calculates the perimeter of an equilateral triangle whose side is congruent to twice the minor dimension of the rectangle. s = 30 cm P = 3s = 90 cm
 Travel_Word_Problems/623190: Car travelled 660 miles in 3hrs 40 mins. What was its avg speed?! How do I work this out as quick as possible without a calculator?! Thanks1 solutions Answer 391917 by Alan3354(30983)   on 2012-06-23 08:27:49 (Show Source): You can put this solution on YOUR website!Car travelled 660 miles in 3hrs 40 mins. What was its avg speed?! ---------- 3:40 = 220 minutes r = d/t = 660/220 = 3 mi/min = 180 mi/hr
 Average/623132: If you have 70, 75, and 90 what score do you need to get an average of 80?1 solutions Answer 391892 by Alan3354(30983)   on 2012-06-22 22:59:08 (Show Source): You can put this solution on YOUR website!If you have 70, 75, and 90 what score do you need to get an average of 80? ------ (70 + 75 + 90 + Score)/4 = 80 70 + 75 + 90 + Score = 320 Score = 85
 Probability-and-statistics/623077: Two cards are drawn from a standard deck of cards without replacement. What is the probability that the first is a King and the second is not a King? 1 solutions Answer 391891 by Alan3354(30983)   on 2012-06-22 22:57:12 (Show Source): You can put this solution on YOUR website!Two cards are drawn from a standard deck of cards without replacement. What is the probability that the first is a King and the second is not a King? ----------- 1st a King = 4/52 = 1/13 ------- 2nd a King = 3/51 = 1/17 Not a King = 1 - 1/17 = 16/17 --> 1/13*16/17 = 16/221
 Geometry_Word_Problems/623096: M<5=65 is true?1 solutions Answer 391889 by Alan3354(30983)   on 2012-06-22 22:49:34 (Show Source): You can put this solution on YOUR website!M<5=65 is true? ------------- What does that mean?
 Numeric_Fractions/623129: My question is: 1 2/7• 4 3/5. I do not understand the rules of multiplying fractions, especially with different denominators and whole numbers. Thanks for your time1 solutions Answer 391888 by Alan3354(30983)   on 2012-06-22 22:48:09 (Show Source): You can put this solution on YOUR website!1 2/7• 4 3/5 ---------- Eliminate the mixed numbers. = (9/7)*(23/5) = 207/35
 Proportions/623131: what fraction of an hour is 1,350 seconds?1 solutions Answer 391887 by Alan3354(30983)   on 2012-06-22 22:46:55 (Show Source): You can put this solution on YOUR website!what fraction of an hour is 1,350 seconds? ------ 1 hr = 3600 seconds 1350/3600 = 3/8
 Exponential-and-logarithmic-functions/623130: what is the base of ln(6) ? thanks1 solutions Answer 391886 by Alan3354(30983)   on 2012-06-22 22:43:38 (Show Source): You can put this solution on YOUR website!what is the base of ln(6) ? thanks ---------------- ln is natural log base e ----------- e =~ 2.718281828459045... It goes on and on, like pi ---------- There are reasons for using logs to base e
 Trigonometry-basics/623086: Find the missing value to the nearest tenth. tan__= 78 How do you solve for this? I have tried using the tangent inverse, but it marks it wrong. Please explain how you solved it. Thank you.1 solutions Answer 391877 by Alan3354(30983)   on 2012-06-22 20:19:46 (Show Source): You can put this solution on YOUR website!Find the missing value to the nearest tenth. tan__= 78 ------- tan(89.3) degs = 78 tan(1.56) radians = 78
 test/623087: How do you do this: 14 is 40% of what number?1 solutions Answer 391870 by Alan3354(30983)   on 2012-06-22 19:13:40 (Show Source): You can put this solution on YOUR website!How do you do this: 14 is 40% of what number? ----------- 14 = 0.4*n n = 14/0.4 n = 35
 Linear-equations/622895: Slope of the line is -2/3 but the numbering on one of the axis is missing. How many units should each tick mark on that unnumbered axis represent?1 solutions Answer 391867 by Alan3354(30983)   on 2012-06-22 18:26:36 (Show Source): You can put this solution on YOUR website!Slope of the line is -2/3 but the numbering on one of the axis is missing. How many units should each tick mark on that unnumbered axis represent? ---------------- Which axis? The ticks can be 1 unit. That works as a factor of 2 and of 3.
 Rational-functions/622874: what is the solution and graph to Y = │x +3│ + 2 1 solutions Answer 391865 by Alan3354(30983)   on 2012-06-22 18:22:19 (Show Source): You can put this solution on YOUR website!what is the solution and graph to Y = │x +3│ + 2 ------------ That is the solution for y. To graph it, pick values for x and find y. Plot the points, draw a straight line thru them. The vertex is (-3,2)
 Quadratic_Equations/623075: solve 5x^-11=0 I have a=5,b=0,c=-11 with an answer of x=*-square root of 220 over 10 Can this solution be reduced1 solutions Answer 391862 by Alan3354(30983)   on 2012-06-22 17:50:02 (Show Source): You can put this solution on YOUR website!solve 5x^-11=0 I have a=5,b=0,c=-11 with an answer of x=*-square root of 220 over 10 ---------- x = infinity =================== If you mean 5x^2 - 11 = 0 as is implied by your a = .... x^2 = 11/5 x = sqrt(55)/5 x = -sqrt(55)/5 -------------- x^ is meaningless without an exponent.
 Quadratic_Equations/623061: x3/2 = 216 1 solutions Answer 391825 by Alan3354(30983)   on 2012-06-22 16:24:25 (Show Source): You can put this solution on YOUR website!x3/2 = 216 --------- Is x3 the variable? x3 = 432
 Exponential-and-logarithmic-functions/623001: Solve the equation 7^(x – 2) = 5x. Round the answer to four decimal places.1 solutions Answer 391822 by Alan3354(30983)   on 2012-06-22 16:20:41 (Show Source): You can put this solution on YOUR website!Solve the equation 7^(x – 2) = 5x. Round the answer to four decimal places. -------------- That can be solved with graphical or numerical approximation. There's a good chance you made a typo. Confirm the problem before I spend the time on it.
 absolute-value/623058: Explain why the absolute value is not always true 1 solutions Answer 391821 by Alan3354(30983)   on 2012-06-22 16:16:32 (Show Source): You can put this solution on YOUR website!Explain why the absolute value is not always true ------------ What does "not true" mean?
 Quadratic_Equations/623054: Question 623037 kindly answered by Alan3354, where does the 10/3 hours come from1 solutions Answer 391815 by Alan3354(30983)   on 2012-06-22 15:39:36 (Show Source): You can put this solution on YOUR website!Question 623037 kindly answered by Alan3354, where does the 10/3 hours come from 3 hr 20m = 3 1/3 hours = 10/3 hours
 Polynomials-and-rational-expressions/623028: factor the polynomial completely: x^2-10x-241 solutions Answer 391812 by Alan3354(30983)   on 2012-06-22 15:18:37 (Show Source): You can put this solution on YOUR website!x^2-10x-24 -------- Find 2 factors of 24 that have a difference of 10. There aren't many sets of factors of 24.