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# Recent problems solved by 'Alan3354'

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 Travel_Word_Problems/257761: A train travels at 120 km/h. estimate the distance it can travel in 7h 45min. 1 solutions Answer 189645 by Alan3354(30959)   on 2010-01-17 16:53:19 (Show Source): You can put this solution on YOUR website!120*7.75 = 930 km
 Geometry_Word_Problems/257768: What are the dimentions of a square given the area of 12?1 solutions Answer 189643 by Alan3354(30959)   on 2010-01-17 16:51:58 (Show Source): You can put this solution on YOUR website![sqrt(12)]^2 or 2sqrt(3) on a side
 Functions/257652: Take a look at the table below and compute an equation for f(x). x -3, -2, 1, 3 4 f(x) 0, 3, 12, 18, 211 solutions Answer 189552 by Alan3354(30959)   on 2010-01-17 10:29:21 (Show Source): You can put this solution on YOUR website!There are an infinite number of functions that pass thru those 5 points, but f(x) = 3x + 9 is the simplest.
 Square-cubic-other-roots/257651: solve and put answer in scientific notation:(6.9 x 10^27)(8.2 x 10^-13) / 4.1 x 10^15 1 solutions Answer 189551 by Alan3354(30959)   on 2010-01-17 10:01:00 (Show Source): You can put this solution on YOUR website!(6.9 x 10^27)(8.2 x 10^-13) / 4.1 x 10^15 =6.9E27*2E-13/1E15 = 13.8E14/1E15 = 1.38E15/1E15 = 1.38 ------- E format is commonly used, and E15 easier to type and say than "times 10 to the power of 15"
 Linear-systems/257599: y=-x+5 x+y=51 solutions Answer 189545 by Alan3354(30959)   on 2010-01-17 09:19:58 (Show Source): You can put this solution on YOUR website!The equations are the same, just rearranged. --> dependent
 Linear-systems/257603: y=x+1 -x=y=31 solutions Answer 189544 by Alan3354(30959)   on 2010-01-17 09:18:44 (Show Source): You can put this solution on YOUR website!Too many equal signs.
 Human-and-algebraic-language/257625: A shop has enough food to feed 520 people for 8 days. 312 more people arrive. How long will the food last now?1 solutions Answer 189530 by Alan3354(30959)   on 2010-01-17 08:13:52 (Show Source): You can put this solution on YOUR website!A shop has enough food to feed 520 people for 8 days. 312 more people arrive. How long will the food last now? 520*8 = 4160 person-days of food ----------------- 4160/(520+312) = 5 5 days
 Miscellaneous_Word_Problems/257616: If a - 1 = b + 2 = c - 3 = d + 4, which of the four quantities a,b,c, or d is the largest?1 solutions Answer 189529 by Alan3354(30959)   on 2010-01-17 08:10:30 (Show Source): You can put this solution on YOUR website!a - 1 = b + 2 = c - 3 = d + 4 = k, some constant ============== c = k+3 a = k+1 b = k-2 d = k-4 -------- c is largest
 Linear-systems/257541: Please answer this: (-8,6);y = -1/4x + 5 1 solutions Answer 189469 by Alan3354(30959)   on 2010-01-16 19:36:34 (Show Source): You can put this solution on YOUR website!What's the question?
 Linear-equations/257554: 4. The line y=0.15x+0.79 represents an estimate of the average cost of gasoline for each year. The line 0.11x-y=-0.85 estimates the price of gasoline in January of each year (Bureau of Labor Statistics, 2006). a) Do you expect the lines to be intersecting, parallel, or perpendicular? Explain your reasoning. b) Use the equations of the lines to determine if they are parallel. What did you find? c) Did your answer to part b confirm your expectation in part a? 1 solutions Answer 189468 by Alan3354(30959)   on 2010-01-16 19:34:25 (Show Source): You can put this solution on YOUR website!The line y=0.15x+0.79 represents an estimate of the average cost of gasoline for each year. ------------------ The line 0.11x-y=-0.85 estimates the price of gasoline in January of each year -------------------- a) Do you expect the lines to be intersecting, parallel, or perpendicular? Explain your reasoning. They will intersect, because the slopes are different. ---------------------- b) Use the equations of the lines to determine if they are parallel. What did you find? They're not, the slopes are different. ------------------- c) Did your answer to part b confirm your expectation in part a? Yes
 Coordinate-system/257558: what is the distance between points (5,-3) and (0,9) in a coordinate system?1 solutions Answer 189464 by Alan3354(30959)   on 2010-01-16 19:13:45 (Show Source): You can put this solution on YOUR website!what is the distance between points (5,-3) and (0,9) ------------ s^2 = diffy^2 + diffx^2 = (-3-9)^2 + 5^2 s^2 = 144+25 = 169 s = 13 units
 Graphs/257560: 5x+5y=7 and 7x-3=13 how do i solve using elimination method?1 solutions Answer 189463 by Alan3354(30959)   on 2010-01-16 19:12:19 (Show Source): You can put this solution on YOUR website!5x+5y=7 and 7x-3=13 how do i solve using elimination method? 7x-3=13 7x = 16 x = 16/7 --------------- 5(16/7) + 5y = 7 80/7 + 5y = 49/7 5y = -31/7 y = -31/35
 Travel_Word_Problems/257549: Question: Two trains are heading towards each other on a linear track. One train travels at a speed of 60 miles per hour, and the other at 50 miles per hour. A fly starting at one train travels back and forth at a speed of 100 miles per hour. If the trains start 100 miles away from each other, how far will the fly travel before it is squashed by the collision? Step through Step Answers would be prefered!1 solutions Answer 189458 by Alan3354(30959)   on 2010-01-16 18:43:12 (Show Source): You can put this solution on YOUR website!Two trains are heading towards each other on a linear track. One train travels at a speed of 60 miles per hour, and the other at 50 miles per hour. A fly starting at one train travels back and forth at a speed of 100 miles per hour. If the trains start 100 miles away from each other, how far will the fly travel before it is squashed by the collision? ----------------------- The trains approach each other at 110 mph (50 + 60) It takes the trains 100/110 hours to meet. The fly flies at 100 mph for 100/110 hours. The fly's distance = 100*(100/110) miles d =~ 90.91 miles
 Matrices-and-determiminant/257417: the following information was collected at a particular road for 3 hour period on one morning.the results are shown in the matrix below. 7-8am 8-9am 9-10am cars 67,83,34 buses 72.79.50 motorcycles 52,62,26 others 24,34,331 solutions Answer 189390 by Alan3354(30959)   on 2010-01-16 11:41:28 (Show Source): You can put this solution on YOUR website!Sounds like a waste of time.
 Numbers_Word_Problems/257471: Find two positive numbers whose ratio is 2:3 and whose product is 600? How do i set it up? 1 solutions Answer 189389 by Alan3354(30959)   on 2010-01-16 11:40:30 (Show Source): You can put this solution on YOUR website!Find two positive numbers whose ratio is 2:3 and whose product is 600? How do i set it up ------------ 2x*3x = 600 x^2 = 100 x = 10 20*30 = 600 or -20 x -30 = 600
 Miscellaneous_Word_Problems/257436: Steve ate 100 peanut butter cups in 5 days. Each day he ate six more than the previous day. Determine how many peanut butter cups he ate on the first day.1 solutions Answer 189367 by Alan3354(30959)   on 2010-01-16 10:32:24 (Show Source): You can put this solution on YOUR website!Steve ate 100 peanut butter cups in 5 days. Each day he ate six more than the previous day. Determine how many peanut butter cups he ate on the first day. ------------ The 5 numbers total 100. The average is 20, so that's the middle number. --> 8, 14, 20, 26, 32
 Expressions-with-variables/257440: I am confused about simplfying by removing factors of one when a lot of letters are used, for example: z^2-12z+32/z^2+z-20 Help please!1 solutions Answer 189366 by Alan3354(30959)   on 2010-01-16 10:28:38 (Show Source): You can put this solution on YOUR website!z^2-12z+32/z^2+z-20 Factor the NUM and DEN = (z-8)*(z-4)/(z+5)*(z-4) Both NUM and DEN have (z-4), so cancel them. = (z-8)/(z+5) ------------- I don't know what "factors of one" means. Dividing by one doesn't change anything.
 Linear-equations/257339: Write the product in the simpliest form. The dot is multiple by the problem as a hole. sorry I don't know how to properly write it out on the computer. - 19/63y .9y1 solutions Answer 189355 by Alan3354(30959)   on 2010-01-16 09:17:29 (Show Source): You can put this solution on YOUR website! I think this is what you mean = = = -19/7
 Quadratic-relations-and-conic-sections/244602: What conic does the equation y=x^2 represent?1 solutions Answer 189350 by Alan3354(30959)   on 2010-01-16 08:58:25 (Show Source): You can put this solution on YOUR website!What conic does the equation y=x^2 represent? A parabola
 Equations/257430: How Do You Solve 6k-25=7-2k1 solutions Answer 189344 by Alan3354(30959)   on 2010-01-16 08:41:37 (Show Source): You can put this solution on YOUR website!6k-25=7-2k Add 25 to both sides 6k = 32-2k Add 2k 8k = 32 Divide by 8 k = 4
 Travel_Word_Problems/257334: If you are going 60 miles an hour for 8 hours a day, how long will it take you to reach Los Angeles from New York?1 solutions Answer 189299 by Alan3354(30959)   on 2010-01-15 20:13:30 (Show Source): You can put this solution on YOUR website!How far is it?
Complex_Numbers/247920: my problem are plz help me i need to see the work
i need them solved by tonight plz
1) x^2-8x+15=0

2) x^2+2x-6=0

3) 2x^2+3x-5=0

4) 2x^2+7x+6=0

4) x^2-4x+5=0

5) x^2-10x+28=0
1 solutions

Answer 189289 by Alan3354(30959)   on 2010-01-15 19:38:53 (Show Source):
You can put this solution on YOUR website!
1) x^2-8x+15=0
(x-3)*(x-5) = 0
x = 3, x = 5
----------------
2) x^2+2x-6=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=28 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 1.64575131106459, -3.64575131106459. Here's your graph:

----------
x = -1 ± sqrt(7)
--------------
3) 2x^2+3x-5=0
do these like the ones above. If you can't factor them, use the quadratic equation. It always works.
-------------------
4) 2x^2+7x+6=0
4) x^2-4x+5=0
5) x^2-10x+28=0

 Problems-with-consecutive-odd-even-integers/257366: aI NEED HELP I DONT UNDERSTAND PLEASE HELP ME FIGURE OUT THIS QUESTION The sum of two consecutive integers is -205. Find the larger integer.1 solutions Answer 189282 by Alan3354(30959)   on 2010-01-15 19:17:54 (Show Source): You can put this solution on YOUR website!The sum of two consecutive integers is -205. Find the larger integer. ------------- Do these the easy way. -205/2 = -102.5 --> -102 and -103
 Mixture_Word_Problems/257350: I have to add 15ml of fertilizer to 50 litres of water, how much fertilizer is that per litre. Thank you.1 solutions Answer 189277 by Alan3354(30959)   on 2010-01-15 18:32:29 (Show Source): You can put this solution on YOUR website!I have to add 15ml of fertilizer to 50 litres of water, how much fertilizer is that per litre. -------------- The total is 15 + 50000 = 50015 ml 15/50015 = 3/10003 ml of fertilizer per liter =~ 0.29991 ml/liter, or practically 0.3 ml/liter
 Pythagorean-theorem/257342: How can you explain the pythagorean theorem to me so that i can understand it1 solutions Answer 189275 by Alan3354(30959)   on 2010-01-15 18:26:27 (Show Source): You can put this solution on YOUR website!The theorem says that in any right triangle, the hypotenuse squared is equal to the sum of the squares of the other 2 sides. ------------------------ whether you understand that or not is not anyone else's responsibility.
 expressions/257329: 49xy over 56x = 1 solutions Answer 189262 by Alan3354(30959)   on 2010-01-15 16:19:26 (Show Source): You can put this solution on YOUR website!= 7y/8
 Probability-and-statistics/257266: Scientific Notation Very large and very small numbers are easier to write in scientific notation. For example, the number, 2360000 would be written 2.36 106 in scientific notation. How would you enter this number in WebAssign using scientific notation to 3 significant figures? 1 solutions Answer 189191 by Alan3354(30959)   on 2010-01-15 11:52:21 (Show Source): You can put this solution on YOUR website! 2360000 would be written 2.36 106 ----------- 236 106 might be interpreted as 236106, or 236,106. You need to clarify that the 6 is an exponent. Use 2.36*10^6, or 2.36E6 ---------- 2.36 is 3 sig figs
 Probability-and-statistics/257271: using data from the last ten years, estimate the probability a newborn will be female 1 solutions Answer 189190 by Alan3354(30959)   on 2010-01-15 11:49:10 (Show Source): You can put this solution on YOUR website!I'd say there's a good chance. 100% if it's a girl.
 Linear-equations/257270: what is the slope and y intercept of 6-1/3=7x?1 solutions Answer 189189 by Alan3354(30959)   on 2010-01-15 11:48:21 (Show Source): You can put this solution on YOUR website!what is the slope and y intercept of 6-1/3=7x? --------- 6-1/3=7x 7x = 17/3 x = 17/21 ---------- This is a "vertical" line thru (17/21,0). Its slope is infinite, or undefined. There is no y-intercept, it's parallel to the y-axis.
 Linear-equations/257231: If the line that passes through the points A(2,-1) and B(3,-2) is parallel to the line ax – by + c = 0, then determine the value of a^2 – b^2.1 solutions Answer 189184 by Alan3354(30959)   on 2010-01-15 11:31:02 (Show Source): You can put this solution on YOUR website!If the line that passes through the points A(2,-1) and B(3,-2) is parallel to the line ax – by + c = 0, then determine the value of a^2 – b^2. ------------------ The line thru the points is y = -x + 1, or x + y - 1 = 0 Its slope, m = -1, and the slope of ax - by + c is also -1 --> a/b = -1. a = -b a^2 - b^2 = 0
 Graphs/257242: graph the linear function by plotting x and y intercepts 4x-12y=241 solutions Answer 189180 by Alan3354(30959)   on 2010-01-15 11:25:14 (Show Source): You can put this solution on YOUR website! graph the linear function by plotting x and y intercepts 4x-12y=24 x-3y = 6 --------- x=0 --> y-intecept x = 0, y = -2 --> (0,-2) -------------------------- y=0 --> x-intercept y = 0, x = 6 --> (6,0) ---------------------- Plot the 2 points and draw a straight line thru them.