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# Recent problems solved by 'josmiceli'

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 Pythagorean-theorem/292741: The base path of a baseball diamond forms a square. If it is 90 ft. from home to first, how far does the catcher have to throw to catch someone stealing second base? Give your answer as a radical expresion in simplest form and then stimate the lenght to the nearest tenth of a foot.1 solutions Answer 211378 by josmiceli(9664)   on 2010-04-15 20:10:26 (Show Source): You can put this solution on YOUR website!It is telling you that ft is one side of the square, and it is asking you for the distance between opposite corners. The sides are all equal to ft and, for a square, the diagonal and a side are in the ratio to , so I can say Multiply both sides by ft (rounded to nearest 1/10 th)
 Finance/292646: how many quarts of 30% soap solution and 60% soap solution should be mixed to obtain 60 quarts of 50 % soap solution?1 solutions Answer 211369 by josmiceli(9664)   on 2010-04-15 19:16:14 (Show Source): You can put this solution on YOUR website!In words: (total quarts of soap)/(total quarts of solution) = 50% Let = quarts of 30% solution Let = quarts of 60% solution ------------------------------------ given: ---------------- By substitution: and, since 20 quarts of 30% solution and 40 quarts of 60% solution are needed check: OK
 Evaluation_Word_Problems/291550: One solution contains 50% alcohol and another solution contains 80% alcohol. How many liters of each solution should be mixed to produce 10.5 liters of a 70% alcohol solution?1 solutions Answer 210841 by josmiceli(9664)   on 2010-04-13 10:13:10 (Show Source): You can put this solution on YOUR website!Let = liters of 50% solution needed Let = liters of 80% solution needed In words: (liters of alcohol in final solution)/(total liters of final solution) = 70% given: alcohol in 50% solution: alcohol is 80% solution: and (1) (2) ---------------------- Multiply both sides of (1) by (1) Multiply both sides of (2) by and subtract (2) from (1) (1) (2) And from (2): 3.5 liters of 50% solution and 7 liters of 80% solution are needed check answer: (1) (1) OK
 Expressions-with-variables/291619: Six times a number added to twice the reciprocal of a number equals 13. Find the number(s).1 solutions Answer 210838 by josmiceli(9664)   on 2010-04-13 09:29:26 (Show Source): You can put this solution on YOUR website!Let = the unknown number given: Multiply both sides by Solve using quadratic formula The solutions are: and Both these solutions work if you plug them back into
 Percentage-and-ratio-word-problems/287900: Last season, a major league baseball player got 160 hits in 200 times at bat. If the player expects to bat 500 times in the entire season with the same ration of hits to at bats, how many hits can the player expect to have?1 solutions Answer 208632 by josmiceli(9664)   on 2010-04-02 12:21:12 (Show Source): You can put this solution on YOUR website! Multiply both sides by The player can expect 400 hits
 Miscellaneous_Word_Problems/287832: An exam has 20 questions. It is scored by giving 10 points for each correct answer and deducting 5 points for every incorrect answer. If you answer all 20 questions and score 125 points, how questions did you answer correctly? a) 15 b) 16 c) 14 d) 11 e) 121 solutions Answer 208628 by josmiceli(9664)   on 2010-04-02 12:13:38 (Show Source): You can put this solution on YOUR website!Let = number of correct answers Then = number of incorrect answers given: I answered 15 questions correctly check: OK
 Miscellaneous_Word_Problems/287829: Laura jogs seven blocks the first day of her training program. She increases her distance by two blocks each day. On the last day she jogs 25 blocks How many days was she in training?1 solutions Answer 208615 by josmiceli(9664)   on 2010-04-02 11:39:33 (Show Source): You can put this solution on YOUR website!The 2nd day would be blocks then The formula for this is: where is the day number given: she was in training 10 days check: OK
 Quadratic_Equations/287759: find the quadratic function that indicate vertex (5,12) and passes through points (7,15)?1 solutions Answer 208532 by josmiceli(9664)   on 2010-04-01 21:05:56 (Show Source): You can put this solution on YOUR website!Put the equation in the form The x-coordinate of the vertex is at given: (1) (2) (3) This is 3 equations and 3 unknowns, so it's solvable (1) Subtract (2) from (3) (3) (2) And, by substitution, and and (3) I made a mistake somewhere after this, hope I gave you a good start
 Angles/287763: the angle's measurement is 60 degree more than that of its complement? how do i set up this problem?1 solutions Answer 208527 by josmiceli(9664)   on 2010-04-01 20:38:38 (Show Source): You can put this solution on YOUR website!Call the angle The complement of the angle is given: The angle is 75 degrees
 Miscellaneous_Word_Problems/287734: At the instant the traffic light turns green, a car that has been waiting at an intersection starts with a constant acceleration of 6 feet per second per second. At the same instant, a truck traveling with a constant velocity of 30 feet per second passes the car. (a) How far beyond its starting point will the car pass the truck? (b) How fast will the car be traveling when it passes the truck?1 solutions Answer 208524 by josmiceli(9664)   on 2010-04-01 20:33:03 (Show Source): You can put this solution on YOUR website!The formula for the car is where = distance traveled = acceleration from stop = elapsed time The formula for the truck is = the velocity ---------------------- given: ft/sec/sec ft/sec --------------- and so, and (a) the car passes the truck 300 ft from start and For car (b) the car's velocity is 60 ft/sec when it passes the truck
 Exponential-and-logarithmic-functions/287740: Find A and k if the general equation is y=Ae^kx given two points (-2,-10) and (-1,-4). correct to two decimal places.1 solutions Answer 208520 by josmiceli(9664)   on 2010-04-01 20:17:08 (Show Source): You can put this solution on YOUR website! (-2,-10) (1) (-1,-4) (2) Solve both equations for (1) (2) so, and (2)
 Expressions-with-variables/287748: I am having problems trying to figure this problem out. Find the exact area of a triangle with a base of root 30 meters and a height of root 6 meters. do I times 6 meters by 30 meters?1 solutions Answer 208507 by josmiceli(9664)   on 2010-04-01 19:55:51 (Show Source): You can put this solution on YOUR website!The general rule is: Now do the rule in reverse You can check this with a calculator: and The 2 answers agree
 Percentage-and-ratio-word-problems/287611: In a class, 2/5 of the boys wear glasses and 1/3 of the girls wear glasses. What fraction of the class wear glasses? A 3/68 B 2/15 C 11/30 D 11/15 E none enough information1 solutions Answer 208383 by josmiceli(9664)   on 2010-04-01 10:13:26 (Show Source): You can put this solution on YOUR website!Not enough info Suppose there are boys and girls Then 33.4% wear glasses Suppose there are boys and girls Then 37.5% wear glasses
 Probability-and-statistics/287633: two cards are selected from a standard deck without replacement. find the probability that they are both hearts.1 solutions Answer 208379 by josmiceli(9664)   on 2010-04-01 10:01:56 (Show Source): You can put this solution on YOUR website!The chance that the 1st one is a heart is Now 1 card is gone from the deck, so the chance that the 2nd card is also a heart is If you want the probability they are both hearts, multiply them:
 Coordinate-system/287623: How far from the origin is the line 3x + 4y = 10? (a) 1.5 units (b) 2 units (c) 2.5 units (d) 2.75 units (e) None of the above1 solutions Answer 208378 by josmiceli(9664)   on 2010-04-01 09:55:11 (Show Source): You can put this solution on YOUR website!Another way to ask this question is: What is the perpendicular distance from the origin to this line? Any line perpendicular to this line will have slope = The line through origin with this slope is: Now the question is: What is the point where this line intersects the given line? By substitution: and, substituting: The distance formula is: the distance is (b) 2 units
 Quadratic_Equations/287399: My problem is:Identify the completing the squares, the vertex, the y-intercept and the axis of symmetry. 1. y=x^2+6x-11 2. y=3x^2-x+4 3. y=2x^2+7x-3 4. y=2x^2-8x-12 I need step by step answers my email address is gdkpw@hotmail.com Thank you1 solutions Answer 208286 by josmiceli(9664)   on 2010-03-31 18:01:55 (Show Source): You can put this solution on YOUR website!The best way to think of it is: The axis of symmetry is where is midway between the roots of the equation. Then you find the vertex by plugging in back into the equation to get , then is the vertex. An easy formula is: if the equation is in the form , then the axis of symmetry is at The y-intercept is at --------------------------------------- I'll do your 1st problem: The y-intercept is at Now find roots: The axis of symmetry is midway between the 2 roots which are: root1 = root2 = is midway between these roots, so is the axis of symmetry And the simple formula gives the same answer: Now plug this result back into the equation: So, the vertex is at (-3,-20) I'll plot the equation:
 Geometry_Word_Problems/287398: find the length of a side of a square whose area is 300cm^21 solutions Answer 208285 by josmiceli(9664)   on 2010-03-31 17:33:29 (Show Source): You can put this solution on YOUR website!Take the square root cm
 Quadratic_Equations/287323: 1. One leg of a right triangle is 2 feet longer than the other leg. The hypotenuse is 10 feet long. Find the length of the legs of the triangle? 2. One leg of the right triangle is 5 units. The hypotenuse is one unit longer than the other leg. What is the length of the hypotenuse and the other leg?1 solutions Answer 208249 by josmiceli(9664)   on 2010-03-31 14:19:41 (Show Source): You can put this solution on YOUR website!(1) you can call the legs and By the Pythagorean theorem: Complete the square: The legs are 6 ft and 8 ft check: OK (2) Call the unknown leg the other leg is The hypotenuse is 13 and the other leg is 12 check: OK
 Rectangles/287097: state flag is rectangular and has a width to length ratio of 2:3. if width is 28 inches, how do you find the length. Please help. I have been struggling with this for 2 hours. Thanks1 solutions Answer 208167 by josmiceli(9664)   on 2010-03-30 21:24:35 (Show Source): You can put this solution on YOUR website!Let the width = Let the length = given: in so, Multiply both sides by The length is 42 in Notice that the length is greater than the width, which is usually assumed
 Graphs/287086: man look im a kid i need help in algebra 1 im not wanting to pay i just need help i am begging you please help me find a free online tutor1 solutions Answer 208162 by josmiceli(9664)   on 2010-03-30 21:11:56 (Show Source): You can put this solution on YOUR website!Hi, I was a kid once, too, and before I got pretty good with algebra, I used to struggle with multiplication tables until blood came out of my ears. You might have a teacher who is not good at 1-on-1 teaching, or too busy to do it You might have an algebra book that's not too good. I can do problems now and then, but I couldn't go back to square 1 and bring you back up. Are there any volunteers where you live? There might be. I volunteered once myself to tutor after school. That's something you could Google. A volunteer might direct you to a really good book, too. It's worth it to keep trying, but don't bang your head against the wall. Go back as far as you must go to clear up your confusion. Good luck.
 Graphs/287088: Hi I need y=4x graphed and also y=-6+8 graphed. THanks alot!!!!!! I also need an equation for M(3,5), N(-3,1). aND IF YOU CAN m(1,0),n(2,) And an equation for 3x=6y+181 solutions Answer 208156 by josmiceli(9664)   on 2010-03-30 20:52:56 (Show Source): You can put this solution on YOUR website!(1) (2) (3) Here are the graphs:
 Square-cubic-other-roots/287067: 25x² + 40x +16 = 281 solutions Answer 208150 by josmiceli(9664)   on 2010-03-30 20:30:52 (Show Source): You can put this solution on YOUR website! I can see that the left side is Take the square root of both sides and
 Linear-equations/287063: find the slope and the y intercept- f(x)=-5x-7 the slope is______ the y intercept is______ I have come up with 3 different answers. can you help me solve this!1 solutions Answer 208145 by josmiceli(9664)   on 2010-03-30 20:07:46 (Show Source): You can put this solution on YOUR website!When an equation looks like , then = slope = y-intercept --------------- slope = y-intercept =
 Linear-equations/287064: find the slope and the y intercept: y=2.7x-5 the slope is____ the y intercept is______1 solutions Answer 208142 by josmiceli(9664)   on 2010-03-30 20:02:51 (Show Source): You can put this solution on YOUR website!the slope is 2.7 the y intercept is -5
 Equations/286926: We're doing review now and i do not remember how to do words problems like this. Here is the problem: Two boats traveled in opposite directions from the same starting point. The rate of one boat was 10km per hour faster than the rate of the other. After 3 hours they were 270km apart. Find the rate of the slower boat.1 solutions Answer 208061 by josmiceli(9664)   on 2010-03-30 15:09:40 (Show Source): You can put this solution on YOUR website!I they are traveling in opposite directions you can add their speeds and consider one to be stationary and the other moving Let = speed of the slower one km The slower boat's speed is 40 km/hr check: slower boat: km faster boat: OK
 Rate-of-work-word-problems/286877: On average, it takes a teacher 39 minutes to grade a set of quizzes. It takes her teacher's aide twice as long to do the same grading. How long will it take if they work together to grade a set of quizzes? 1 solutions Answer 208029 by josmiceli(9664)   on 2010-03-30 12:32:27 (Show Source): You can put this solution on YOUR website!You need to add their rates of working to get their rate working together Let = their time to finish working together given: 1st teacher's time is min teacher's aide's time is min In words: (1 set of quizzes/teacher's time) + (1 set of quizzes/aide's time) = (1 set of quizzes/time working together) multiply both sides by It will take them min working together
 Exponential-and-logarithmic-functions/286612: I need help, please factor 98x^2 – 1621 solutions Answer 207882 by josmiceli(9664)   on 2010-03-29 19:13:41 (Show Source): You can put this solution on YOUR website! and
 Quadratic_Equations/286594: A rectangular garden is enclosed so that the river borders 1 side and 300m of fencing are used for the other 3 sides. a)What is the formula for the area in terms of x and y? b)What is the formul that relates x and y to the perimeter? c)Write a formulaa for the area in terms of x only d)What are the dimensions of the garden if the area is a maximum?1 solutions Answer 207878 by josmiceli(9664)   on 2010-03-29 18:34:48 (Show Source): You can put this solution on YOUR website!Let the length of the side bordering the river = Let the 2 sides perpendicular to the side bordering the river = given: a) m2 b) m ---------------- c) is a maximum halfway between the 2 roots. First I'll find the roots The roots are and The midpoint is d)The dimensions that maximize area are 75 x 150 check: Just vary the dimensions a little bit, and Area should decrease m2 Suppose: -note that and as it should It decreased by m OK
 Travel_Word_Problems/286448: A wheel of a car of radius 21cm is rotating at 600 RPM. What is the speed of the car in km/hr?1 solutions Answer 207753 by josmiceli(9664)   on 2010-03-29 13:12:12 (Show Source): You can put this solution on YOUR website!first find out how many cm in a km cm/m x m/km = cm/km Now how far does the car go in 1 revolution of the wheel? It goes 1 circumference which is cm How far does the car go in 1 min? revolutions/min cm/rev x rev/min = cm/min Now find this in cm/hr min/hr x cm/min = cm/hr Now find this in km/hr cm/hr x km/cm = km/hr check my math, though
 Human-and-algebraic-language/286423: I am trying to find the formula to use in order to solve this word problem. The members of a flying club plan to share equally the cost of a \$200,000 airplane. The members want to find five more people to join the club so that the cost per person will decrease by \$2000. How many members are currently in the club?1 solutions Answer 207724 by josmiceli(9664)   on 2010-03-29 12:02:38 (Show Source): You can put this solution on YOUR website!You need to get 2 formulas from this info Let = number of members currently in the club Let = cost per person given: The current cost per person is: also: This is 2 equations and 2 unknowns so it's solvable