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# Recent problems solved by 'josmiceli'

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 Percentage-and-ratio-word-problems/181455: Valerie's monthly electric bill last year was \$125. This year, her monthly electric bill is \$150. What is the percent of increase from last year to this year?1 solutions Answer 136067 by josmiceli(9817)   on 2009-02-11 00:39:19 (Show Source): You can put this solution on YOUR website!The increase is The percent increase is: %
 Miscellaneous_Word_Problems/181456: A grocer sells potatoes in 4pound bags and 3 pound bags. He sold 594 bags of potatoes on Thursday.. He sold the same number of 4 pound bags as he did 3 pound bags. How many of each did he sell ?1 solutions Answer 136066 by josmiceli(9817)   on 2009-02-11 00:36:29 (Show Source): You can put this solution on YOUR website! He sold 297 of each
 Miscellaneous_Word_Problems/181457: The state of Nevada has an area of 286,367 square kilometers. In 2005, Nevada had an estimated population of 2,414,807 people. Approximately how many people per square kilometer is this?1 solutions Answer 136065 by josmiceli(9817)   on 2009-02-11 00:34:03 (Show Source): You can put this solution on YOUR website! people/km2 , or about 8 people/km2
 Proportions/181454: This question is from textbook i do not understand scales for pre algebra here is my question: Actual size:30ft drawing size: 6 inches1 solutions Answer 136064 by josmiceli(9817)   on 2009-02-11 00:29:57 (Show Source): You can put this solution on YOUR website!6 in on a map represents 30 ft on the ground It's like you got into a helicopter and climbed higher and higher until something on the ground that was 30 ft long looked 6 in long If you got even higher, it might look 1/2 in long All the scale is saying is: How does 6 in compare with 30 ft? How many inches are in 30 ft? 30 ft x 12 in/ft = 360 in The scale is 6 in / 360 in, or 1 in / 60 in Note that feet and inches are like apples and oranges. You can't compare them directly
 Linear-systems/181450: This question is from textbook Algebra & trigonometry blitzer as written on my homework = solve the system : 4x-7/2y=-18 7/2x-3y=-31/21 solutions Answer 136062 by josmiceli(9817)   on 2009-02-10 23:48:00 (Show Source): You can put this solution on YOUR website!(1) (2) Multiply both sides of (2) by (2) (2) Subtract (1) from (2) (2) (1) Plug this back into (1) (1) (1) The solutions are and
 Systems-of-equations/181451: Lorena bought 10 packs of styrofoam cups for the graduation dance. a pack of fifty 12-oz cups costs \$1.80 and apack of fifty 16-oz cups costs \$2.40. Lorena paid a total of \$21.60 excluding tax. How many packs of each size cup did she buy?1 solutions Answer 136060 by josmiceli(9817)   on 2009-02-10 23:31:07 (Show Source): You can put this solution on YOUR website!Let = the number of packs of 12 oz cups she bought Let = the number of packs of 16 oz cups she bought given: (1) (2) Multiply both sides of (1) by 180 and subtract from (2) (2) (1) and, since (1) She bought 4 packs of 12 oz cups and 6 packs of 16 oz cups check answer: (2) (2) OK
 Equations/181245: x^-1/3x^3/4 over x^1/4= here are my choices: 1, x^1/6, x^1/2, or 1/x^1/21 solutions Answer 135904 by josmiceli(9817)   on 2009-02-10 03:24:08 (Show Source): You can put this solution on YOUR website! Following the general rule, , answer
 Radicals/181124: sqrt40a^3b^4 It asks that i right the expression in simplest radical form. since 40 and 3 has no sqrt i dnt no where to begin. Thanks for any help.1 solutions Answer 135785 by josmiceli(9817)   on 2009-02-09 16:36:34 (Show Source): You can put this solution on YOUR website! Factor out everything under the square root sign that is a perfect square answer
 Graphs/181052: What is the graph of f(x)= log5x ?1 solutions Answer 135735 by josmiceli(9817)   on 2009-02-09 12:13:23 (Show Source):
 Equations/181058: Suppose that you are taking a course that has 4 tests. The first three tests are for 100 points each and the fourth test is for 200 points. To get an B in the course, you must have an average of at least 80 percent on the 4 tests. Your scores on the first 3 tests were 83, 75, and 91. What is the minimum score you need on the fourth test to get an B for the course?1 solutions Answer 135711 by josmiceli(9817)   on 2009-02-09 10:12:24 (Show Source): You can put this solution on YOUR website!I'll call the points scored on the tests a, b, c, and d Points scored on a, b, and c are: The total possible points for the 4 tests are In order to average %, You must score 151 points out of 200 to get a B
 Polynomials-and-rational-expressions/181059: I am homeschooled with the School of Tomorrow. I have no teacher, and am struggling with factoring trinomials, particularly coefficients greater than one and complex factoring. Right now I am trying to solve Please help me!1 solutions Answer 135705 by josmiceli(9817)   on 2009-02-09 10:01:27 (Show Source): You can put this solution on YOUR website! To locate the roots, set the equation equal to Divide both sides by I often try to factor by trying combinations that will factor the outside terms and try to get the inside term, for instance: (3x + ?)(x + ?) I've got the 1st term factored, now for the 3rd (3x + 2)(x + 1) Does this work? not quite How about (3x + 1)(x + 2) ? that's it ---------------------- Some are not this neat, and you have to use the quadratic equation Use this when the form of the equation is Some are not this neat, and you have to use the quadratic equation and --------------- Multiply both sides by
 Quadratic_Equations/181025: Joe has a collection of nickles and dimes that is worth \$6.05. If the number of dimes was doubled and the number of nickles was decreased by 10,the vlue of th ecoins would be \$9.85. How many dimes does he have?1 solutions Answer 135694 by josmiceli(9817)   on 2009-02-09 00:47:54 (Show Source): You can put this solution on YOUR website!Let = the number of nickels Let = the number of dimes given: (in pennies) (1) (2) Subtract (2) from (1) (1) (2) He has 43 dimes And, since (2) check answer: (1) OK
 Finance/181026: This question is from textbook Algebra 1 COncepts and skills I dont really understand how to find the balance or what the interest is ? using this formula y = C(1+r)t1 solutions Answer 135692 by josmiceli(9817)   on 2009-02-09 00:37:24 (Show Source): You can put this solution on YOUR website!The formula for interest is: where = principle = the rate = time Example: You invest \$1,000 at an annual interest rate of 3% After 2 years: So, you make \$60 in interest after 2 years -------------------- You got the formula wrong. It should be: To understand, you should factor it. What this says is: (Principle + Interest) = (Principle) + (Interest) The is principle The is interest ------------------------- Continuing with the example, You invest \$1,000 at an annual interest rate of 3% for 2 years is what you invested + the interest the money earned after 2 years at 3%
 Word_Problems_With_Coins/180987: This question is from textbook College Algebra Mary has \$4.40 in nickles,dimes and quarters. She has four more dimes than quarters and twice as many nickles as dimes. How many coins of each type does she have?1 solutions Answer 135673 by josmiceli(9817)   on 2009-02-08 21:07:05 (Show Source): You can put this solution on YOUR website!Let = number of nickels Let = number of dimes Let = number of quarters given: (1) (1) (2) (3) (in cents) Substitute in (1) and in (2) for and in (3) (3) and (1) and (2) She has 30 nickels, 15 dimes, and 11 quarters check: (3) (in cents) OK
 Quadratic_Equations/180998: 3. Walt made an extra \$12,000 last year from a part-time job. He invested part of the money at 7% and the rest at 9%. He made a total of \$970 in interest. How much was invested at 7%?1 solutions Answer 135672 by josmiceli(9817)   on 2009-02-08 20:51:31 (Show Source): You can put this solution on YOUR website!Let = amount invested @ 7% Let = amount invested @ 9% given: (1) (2) Multiply both sides of (2) by and subtract from (1) (1) (2) And, subtracting: (1) (2) And, since (2) \$5500 was invested @ 7% check: (1) OK
 Human-and-algebraic-language/180802: This question is from textbook Beginning Algebra with Applications A postal clerk sold some \$.34 stamps and some \$.23 stamps. Altogether, 15 stamps were sold for the total cost of \$4.44. How many of each type of stamp were sold?1 solutions Answer 135533 by josmiceli(9817)   on 2009-02-07 20:40:15 (Show Source): You can put this solution on YOUR website!Let the number of \$.34 stamps = Let the number of \$.23 stamps = given: (1) (2) Multiply both sides of (1) by and subtract from (2) (2) (1) ------------------------------ (2) (1) And, since (1) 9 of the \$.34 stamps were sold and 6 of the \$.23 stamps were sold check: (2) OK
 Trigonometry-basics/180794: This question is from textbook Analytic Trigonometry Standing on the bank of a river, a surveyor measures the angle to the top of a tree on the opposite bank to be 23 degrees. He backs up 45ft and remeasures the angle to the top of the tree at 18 degrees. How wide is the river?1 solutions Answer 135530 by josmiceli(9817)   on 2009-02-07 19:45:06 (Show Source): You can put this solution on YOUR website!Let the width of the river = ft Let the height of the tree = ft given: (1) (2) These are 2 equations with 2 unknowns, so they should be solvable (1) (2) ---------------------------- Multiply both sides of (1) by Multiply both sides of (2) by (1) (2) (2) Subtract (2) from (1) (1) (2) The river is 146 ft 9 in wide check answer: (2) ft the height of the tree (1) close enough
 Square-cubic-other-roots/180689: what is the square root of 125x^2? (square root of 125x squared? 1 solutions Answer 135424 by josmiceli(9817)   on 2009-02-06 21:06:38 (Show Source): You can put this solution on YOUR website! answer
 Quadratic_Equations/180687: I need help please show me an example of a complex roots equation. Thanks1 solutions Answer 135421 by josmiceli(9817)   on 2009-02-06 21:02:09 (Show Source): You can put this solution on YOUR website!Suppose the roots are and , then the equation can be factored into and , so Note that if you replace by either or , Then the equation is solved Now multiplying the factors: (note that and ) is the equation to find roots is the complete complex roots equation There are 2 complex roots to this equation, and Graphing it, you can see it doesn't intersect the x-axis, where real roots would be:
 Rate-of-work-word-problems/180686: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together? 1 solutions Answer 135417 by josmiceli(9817)   on 2009-02-06 20:40:50 (Show Source): You can put this solution on YOUR website!In words: Let = number of hours for Jim, Sue, and Tony to fill pool working together Jim's rate of filling + Sues rate of filling + Tony's rate of filling = rate of all 3 filling pool together Multiply both sides by hr All 3 filling pool together can do the job in 15 min
 Reduction-of-unit-multipliers/180684: This question is from textbook algebra1/2 an incremental development Use two unit multiplyers to convert 10,000 square inches to square feet. Round any decimal answer to two places.1 solutions Answer 135415 by josmiceli(9817)   on 2009-02-06 20:32:07 (Show Source): You can put this solution on YOUR website! in2 x ft2 / in2 = in2 x ft2 / in2 = ft2 answer
 Linear-systems/180671: This question is from textbook Algebra 1 2m + n = 1 m - n = 81 solutions Answer 135400 by josmiceli(9817)   on 2009-02-06 17:22:37 (Show Source): You can put this solution on YOUR website!There are 2 equations and 2 unknowns, so it is solvable. If there were more unknowns than equations it would be unsolvable (1) (2) Just add the equations Divide both sides by As long as I do the same thing to both sides, the equation is still true. Put back into (2) Subtract from both sides Multiply both sides by The solution is and
 Coordinate-system/180585: A motorboat went 10 miles upstream in 1 hour. The return trip took only 30 minutes. Assume that the "water speed" and the current speed were constant during both parts of the trip. Find the water speed of the boat and the current speed.1 solutions Answer 135382 by josmiceli(9817)   on 2009-02-06 12:17:26 (Show Source): You can put this solution on YOUR website!Let = the speed of the boat in still water Let = the speed of the current For the trip upstream: (1) For the trip downstream: (2) given: mi mi hr hr upstream: ------------------------ (1) (1) (1) (1) and (2) (2) (2) (2) ------------------------------- Subtract (2) from (1) (1) (2) (3) Now I can rewrite (1) (1) (1) (1) mi/hr and, since (1) (1) (1) mi/hr The speed of ther boat in still water is 15 mi/hr The speed of the current is 5 mi/hr check: (2) OK
 Rational-functions/180611: A circular table is to be made that will have a top covered with material that costs \$3.50 per square foot. The covering is to cost no more than \$60. What is the maximum radius for the top of the table?1 solutions Answer 135379 by josmiceli(9817)   on 2009-02-06 11:53:03 (Show Source): You can put this solution on YOUR website!The area of the table is: In words: (max cost)/(cost/ft2) = max ft2 ft2 ft The maximum radius is about 2 ft 4 in
 Graphs/180616: please help me solve this problem Solve the equation 3x - 14 = 11 solutions Answer 135375 by josmiceli(9817)   on 2009-02-06 11:39:43 (Show Source): You can put this solution on YOUR website! You MUST do the same thing to BOTH sides of the equation If you do that, you won't change the truth of the equation, namely that one side is equal to the other OK, I'll subtract from both sides (note that in this step, I'm just rewriting it, not doing the same thing to both sides) (again, I'm just rewriting it) Now I will add to both sides (just rewriting it) Now I will divide both sides by (I did the same thing to both sides) answer (note that is the same as
 Trigonometry-basics/180507: Write the trig function as an algebraic expression: sin(2arctanx) PLEASE HELP ME!!! I really don't know what to do.1 solutions Answer 135306 by josmiceli(9817)   on 2009-02-05 21:17:32 (Show Source): You can put this solution on YOUR website!You have to say this one in a way that makes sense In words: First, "arctan(x)" means "the angle whose tangent is x" Therefore, "2*arctan(x)" means twice the angle whose tangent is x" Now I can read the whole thing as: "the sine of twice the angle whose tangent is x" If the tangent is , then the sine is and the cosine is The double angle formula for sine is: answer Suppose the angle was 45 degrees. Then and and this is true
 percentage/180544: In trying to find what 8% of 5% is, would i need to convert both percentages into a fraction? What is the process I would complete to find the answer1 solutions Answer 135302 by josmiceli(9817)   on 2009-02-05 20:55:35 (Show Source): You can put this solution on YOUR website!All you have to do is multiply 8% and 5% , or .4 % If you do a simpler one, like 50% of 50% of 50%, you get , or 12.5 %
 Distributive-associative-commutative-properties/180535: Use FOIL to multiply: (5x - 6)(3x - 4) Show Steps!1 solutions Answer 135298 by josmiceli(9817)   on 2009-02-05 20:46:09 (Show Source): You can put this solution on YOUR website!Practice doing it this way, and you'll catch on: Suppose I have Now I'll separate the number into 2 factors, let's say I believe FOIL stands for first-outer-inner-last Following this, I get Try a simpler one, like After practice this way, you can put in x's and y's anywhere you like, and you'll get correct answers
 Expressions-with-variables/180513: 5x-y=-18 4x+2y=92 These are both the same problem.I don't get how to do these problems.Could you explain to me how to do this type of problem please?1 solutions Answer 135293 by josmiceli(9817)   on 2009-02-05 20:31:31 (Show Source): You can put this solution on YOUR website!What they are is 2 equations with 2 unknowns, so I can assume you are to solve for and (1) (2) They should be solvable. If I graph them, they are 2 intersecting straight lines and the solution, (x,y) is where they intersect. I'll graph them Looking at the graph, the intersection is at about , , so the solution would be (4,38) Now I'll find the actual solution (1) (2) Multiply both sides of (1) by and add the equations (1) (2) Now put this value of back into (1) (1) So, I guessed right. The solution is (4,38), or in other words,
 percentage/180528: Express the following percent in decimal and in fraction form (in lowest terms). 0.02% = I understand that it's decimal form is 0.0002 but I don't understand why it's fraction format would not be 0.02/100 instead of 1/5,000.1 solutions Answer 135280 by josmiceli(9817)   on 2009-02-05 20:11:22 (Show Source): You can put this solution on YOUR website!It's because a fraction has whole numbers in the numerator and denominator