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# Recent problems solved by 'josmiceli'

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 Word_Problems_With_Coins/417613: ryan has more than a dollar in coins in his bank. but he can't make change for a dollar. What coins does he have? How many different solutions can you find?1 solutions Answer 292340 by josmiceli(9668)   on 2011-03-04 18:11:12 (Show Source): You can put this solution on YOUR website!He could have 3 quarters and 3 dimes --------- 1 quarter and 8 dimes
 Complex_Numbers/417606: Find the x-intercepts of the formula R=0.4x-0.0001x^21 solutions Answer 292339 by josmiceli(9668)   on 2011-03-04 18:06:59 (Show Source): You can put this solution on YOUR website! The x-intercepts are at and
 Travel_Word_Problems/417609: If a car is traveling 50 mph, how long will it take to arrive at the destination 35 miles away?1 solutions Answer 292338 by josmiceli(9668)   on 2011-03-04 18:00:59 (Show Source): You can put this solution on YOUR website! hrs hrs x min/hr = min
 Rate-of-work-word-problems/417545: A moving sidewalk at an airport is glides at a rate of 1.8 feet per second. Walking on the moving sidewalk, you travel 105 feet forward in the same time it takes to travel 50 feet in the opposite direction. Assuming that you walk at the same pace, find your walking speed if you were on a flat, non-moving sidewalk. Round to the nearest tenth.1 solutions Answer 292325 by josmiceli(9668)   on 2011-03-04 16:31:29 (Show Source): You can put this solution on YOUR website!Let = walking speed given: (1) and (2) ------------------ From (2) By substitution: (1) (1) (1) (1) and (2) (2) (2) (2) ft/sec check: (2) (2) (2) (2) OK
 expressions/417563: dont understand this problem and solution teacher put on board could you help me understand? I dont get it. 4y=2x-10 2y=2(5+2y)-10 4y=10+4y-10 4y-4y=10-10 0=0 =1 solutions Answer 292318 by josmiceli(9668)   on 2011-03-04 16:10:19 (Show Source): You can put this solution on YOUR website!4y=2x-10 4y=2(5+2y)-10 4y=10+4y-10 4y-4y=10-10 0=0 ------------ I get what what the teacher has in mind. At the beginning, there must have been 2 equations: (1) and (2) What the teacher was trying to show is that these equations are exactly the same. (S)he did this by trying to "solve" for x and y in the normal way, by substitution. If the equations were different, this would have resulted in a solution (x,y). ------------- To show the equations are the same, subtract from both sides of (2). Then you have: (2) Now multiply both sides by (2) So, if both equations are the same, there is no solution. Also if the equations are different, but have the same slope, tyhere can be no solution, since they would be parallel lines that never meet. An example would be: (1) (2)
 Numbers_Word_Problems/417564: A farmer has 60 cows, pigs, and horses. There are 4 times as many cows and pigs than they are horses. How many horses are there?1 solutions Answer 292306 by josmiceli(9668)   on 2011-03-04 15:53:34 (Show Source): You can put this solution on YOUR website!Let = number of horses Let = number of cows and pigs given: ----------- There are 12 horses
 Miscellaneous_Word_Problems/417475: The stress in the material of a pipe subject to internal pressure varies jointly with the internal pressure and internal diameter of the pipe and inversely with the thickness of the pipe. The stress is 100 pounds per square inch when the diameter is 5 inches, the thickness is 0.75 inch, and the internal pressure is 25 pounds per square inch. Find the stress when the internal pressure is 40 pounds per square inch if the diameter is 8 inches and the thickness 0.5 inch. 1 solutions Answer 292261 by josmiceli(9668)   on 2011-03-04 12:43:43 (Show Source): You can put this solution on YOUR website!I use what is called a "constant of proportionality" to solve these Let = constant of proportionality given: ------ So, just plug this value in with new values The new stress is 384 pounds/in2
 Expressions-with-variables/417477: I have a total sales number that includes tax of 7.75%. The number is \$3,618,214.77. How do I determine the amount of tax the is included in the number? .0775x=\$3,618,214.77-x ?1 solutions Answer 292257 by josmiceli(9668)   on 2011-03-04 12:29:04 (Show Source): You can put this solution on YOUR website!Let = the amount EXcluding tax (amount including tax) - (amount excluding tax) = tax --------------- The tax is \$260,242.83
 Money_Word_Problems/417466: A woman invested 4 times as much at 5% as she did at 6%. The total amount of interest she earns in 1 year from both accounts is \$520. How much did she invest at each rate?1 solutions Answer 292252 by josmiceli(9668)   on 2011-03-04 12:14:38 (Show Source): You can put this solution on YOUR website!Let = amount invested @ 6% given: = amount invested @ 5% ------------------------- She invested \$2019.23 @ 6% She invested \$8076.92 @ 5% check answer: (close enough)
 Linear-systems/417464: x-y=8 x+y=-21 solutions Answer 292246 by josmiceli(9668)   on 2011-03-04 11:59:38 (Show Source): You can put this solution on YOUR website!(1) (2) Add the equations Divide both sides by Now plug this back into either (1) or (2) (1) Subtract from both sides (1) Multiply both sides by The solution is (3,-5) or, in other words:
 Mixture_Word_Problems/417064: Doreen is a chemist. she needs to prepare 24 ounces of a 7% solution. Find the amount of 12% solution and the amount of a 6% solution she should mix to get this solution? Amount of 12%: Amount of 6%:1 solutions Answer 292069 by josmiceli(9668)   on 2011-03-03 18:00:10 (Show Source): You can put this solution on YOUR website!Let = ounces of 6% solution needed Let = ounces of 12% solution needed -------- given: (1) (2) --------- (2) Multiply both sides of (1) by and subtract from (2) (2) (1) and She needs 20 ounces of 6% solution and 4 ounces of 12% solution
 Graphs/417066: solve and graph -8 < 3x+1 and 3x+1 < 16 the arrows have lines under them the solution is {x|_ < x < __} the arrows have lines under them1 solutions Answer 292065 by josmiceli(9668)   on 2011-03-03 17:48:19 (Show Source): You can put this solution on YOUR website! Subtract Divide by The graph is 2 vertical lines, one at and the other at . The solution is the space between the lines, including the lines.
 percentage/417067: Identify as an increase or decrease. Then find the percent of increase or decrease. If necessary, round to the nearest percent. Original: 180 New: 190 ___% increasing or decreasing?1 solutions Answer 292060 by josmiceli(9668)   on 2011-03-03 17:42:04 (Show Source): You can put this solution on YOUR website!Express unknown percent as increase % increase (to nearest %)
 Geometry_Word_Problems/416963: how long is two pieces of fabric that are each 24 meters long are cut into 25 equal pieces1 solutions Answer 292034 by josmiceli(9668)   on 2011-03-03 16:02:02 (Show Source): You can put this solution on YOUR website! m = m = cm long
 Surface-area/416974: find the total surface area of a solid cube of volume 64cm^31 solutions Answer 292033 by josmiceli(9668)   on 2011-03-03 15:58:53 (Show Source): You can put this solution on YOUR website!The cube is cm3 Each edge is 4 cm, and there are surfaces (count 'em) Each surface has area = cm2 cm2 answer
 Mixture_Word_Problems/416981: express the ratio as a fraction in simplest form 3 gallons to 15 quarts1 solutions Answer 292030 by josmiceli(9668)   on 2011-03-03 15:54:56 (Show Source): You can put this solution on YOUR website!There are 4 quarts to a gallon, so quarts/quarts = quarts/quarts
 Inverses/416983: how do you transform formulas from Ax+By=C form to y=mx+b form plz help1 solutions Answer 292028 by josmiceli(9668)   on 2011-03-03 15:52:31 (Show Source): You can put this solution on YOUR website! Subtract from both sides The form is now and ------------- example: so, hope this helps
 Volume/416977: a fish tank is 25 inches tall and has a base that is 15 by 19 inches you want to fill the tank to a depth of 23 inches how much water will it take i want to know how to do it1 solutions Answer 292026 by josmiceli(9668)   on 2011-03-03 15:45:33 (Show Source): You can put this solution on YOUR website!They are asking how many cubic inches of water are there when the dimensions are 15 x 19 x 23, so in3
 Travel_Word_Problems/416966: A car travels for 40miles with an average velocirty of 30mph and then for 30 minutes at an average velocity of 50mph. What is the average velocity of the car for the entire trip?1 solutions Answer 292023 by josmiceli(9668)   on 2011-03-03 15:42:28 (Show Source): You can put this solution on YOUR website!Average velocity is always (total distance)/(total time) mi / (mi/hr) = hrs (time for 1st trip) hrs (time for 2nd trip) mi/hr * hrs = mi (2nd trip) = average velocity mi/hr
 Word_Problems_With_Coins/416972: coin collector had 6 coins for sale one he price @15,16,18,19,20,31 he sold all but one of the coins to 2 people one payinng 2xs as much as the other one which coin did he keep1 solutions Answer 292019 by josmiceli(9668)   on 2011-03-03 15:31:10 (Show Source): You can put this solution on YOUR website!I just tried every single number that could be the one left out First I let = the amount one person paid and = amount other person paid. , so the sum of what they bought must be divisible by The only way I could arrive at this is if the coin costing 20 is left out. Then , so if 1 person bought 33 worth of coins The other bought 66 worth and So, he kept the coin costing 20
 Graphs/416964: find the domain of the function p (x)=x squared -2x+5 what is the domain of p 1 solutions Answer 292012 by josmiceli(9668)   on 2011-03-03 14:49:16 (Show Source): You can put this solution on YOUR website!Any real number is allowed for , and the resulting will also be a real number, so the domain of is infinity in both the (+) and (-) directions
 Travel_Word_Problems/416572: if i go 13 miles in 44 minutes, how far will i go in 60 minutes? (Assuming I keep roughly the same pace.)1 solutions Answer 291845 by josmiceli(9668)   on 2011-03-02 19:21:09 (Show Source): You can put this solution on YOUR website!Ask yourself: How far will I go in 1 minute? miles/min Divide the top and bottom by (That doesn't change the value) miles /min = miles/min x min = 17.73 miles
 Equations/416573: my son has brought an alegebra worksheet home and he needs help with working these types of problems. f(x)=4x-2y, find f(7)1 solutions Answer 291843 by josmiceli(9668)   on 2011-03-02 19:10:19 (Show Source):
 Permutations/416529: How many five-digit numbers can be formed using the digits 0 and 6? Repeated digits are allowed. 1 solutions Answer 291830 by josmiceli(9668)   on 2011-03-02 18:38:25 (Show Source): You can put this solution on YOUR website!The leading digit can't be , so There are 6 ways to make it There are 7 ways to make the remaining digits ways
 Linear-equations/416537: Find the value of y so that the line passing through (–3, y) and (4, 4) has a slope of –2.1 solutions Answer 291829 by josmiceli(9668)   on 2011-03-02 18:32:21 (Show Source): You can put this solution on YOUR website!Find (change in y) / (change in x) answer
 Equations/416539: write the equation of the line that is parallel to the line that has equation y=2x-3 and with y-intercept 51 solutions Answer 291827 by josmiceli(9668)   on 2011-03-02 18:27:37 (Show Source): You can put this solution on YOUR website! This is in the form The slope is The y-intercept is answer Here's the plot:
 Travel_Word_Problems/416526: two ships leave port at the same time. Ship #1 travels north and ship #2 travels east. After 1 hour the ships are 25 miles apart. Ship #1 travels 5 miles faster than ship #2. How fast are the ships traveling. I used the formula A^2 + b^2 = C^2 butr the answer is not right. Please help X^2 + (X+5)^2 = 25 ^2 2x^2 + 10 X = 600 2x^2 = 60 X^2 = 30 x= 5.5 1 solutions Answer 291825 by josmiceli(9668)   on 2011-03-02 18:22:49 (Show Source): You can put this solution on YOUR website! Complete the square Take the square root of both sides The ships are traveling 15 mi/hr and 20 mi/hr check answer: OK
 Mixture_Word_Problems/416360: combine an alloy that costs \$4.30 and ounce with an alloy that cost \$1.80 an ounce. Hou many ounces of each were used to make a mixture of 200 ounces costing \$2.50 per ounce?1 solutions Answer 291714 by josmiceli(9668)   on 2011-03-02 14:24:25 (Show Source): You can put this solution on YOUR website!Let = ounces of \$4.30/oz alloy needed Let = ounces of \$1.80/ oz alloy needed In words: (cost of 1st alloy + cost of 2nd alloy) / (total ounces of both) = cost/ounce (1) (2) ----------------- (1) (1) (1) ----------------- Multiply both sides of (2) by and subtract from (1) (1) (2) and, 56 ounces of \$4.30/oz alloy are needed 144 ounces of \$1.80/ oz alloy are needed check answer: (1) (1) (1) OK
 Points-lines-and-rays/416365: If your area of a square is 7 meters what's the perimeter1 solutions Answer 291708 by josmiceli(9668)   on 2011-03-02 14:09:12 (Show Source): You can put this solution on YOUR website! = a side of the square The perimeter is the sum of the 4 sides, so the answer is
 Quadratic_Equations/416358: help me with this question. the directions are slove each equation by graphing. If integral roots cannot be found, estimate the roots by stating the consecutive integers between which the roots lie. The question is X^2 + 7x + 9.1 solutions Answer 291707 by josmiceli(9668)   on 2011-03-02 14:06:34 (Show Source): You can put this solution on YOUR website!I would use the fact that the minimum on the graph is at when the form is , so min = The roots will be on either side of this. You can try (1) and. Then try (2) and , next (3) and ----------------------- Here's the graph: You can see that will change sign when you go from choice (2) to choice (3) above
 Quadratic_Equations/416352: A car travels 300 km at a certain speed. If the speed had been increased by 10 km/h, the trip could have been made in 1 hour or less time. Find the actual speed. s = d/t s = 300/60 = 50 what about the 10 increase1 solutions Answer 291704 by josmiceli(9668)   on 2011-03-02 13:51:51 (Show Source): You can put this solution on YOUR website!Let = speed without the km/hr increase (1) And with the increase in speed: (2) ----------------- This is 2 equations and 2 unknowns, so it's solvable (2) (2) The actual speed is 290 km/hr