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# Recent problems solved by 'josmiceli'

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 Trigonometry-basics/445987: Find the value of each expression. 1.sin–1 (–0.59) 2.cos–1 (0.95)1 solutions Answer 307105 by josmiceli(9817)   on 2011-05-06 12:03:28 (Show Source): You can put this solution on YOUR website!I can do these on my calculator. Is that good enough? (1) sin-1 (0.59) = 36.157 degrees (1) sin-1 (0.95) = 71.805 degrees
 Rate-of-work-word-problems/445897: 1)An Experienced bricklayer can construct a small wall in 5 hours. The apprentice can complete the job in 10 hours. Calculate how long it takes to construct 3 walls if they work together.1 solutions Answer 307049 by josmiceli(9817)   on 2011-05-06 04:27:58 (Show Source): You can put this solution on YOUR website!Add their rates of working to get the rate at which they work together Experienced bricklayer: ( 1 wall ) / ( 5 hours ) = Apprentice: ( 1 wall ) / ( 10 hrs ) = Let the time to construct walls = Multiply both sides by Working together, it will take 10 hours to construct 3 walls
 Linear-equations/445782: Given two points through which a line passes, write the equation of each line in slope-intercept form. (4,0) and (2,-5)1 solutions Answer 306990 by josmiceli(9817)   on 2011-05-05 20:50:52 (Show Source): You can put this solution on YOUR website!(4,0) and (2,-5) Multiply both sides by check answer: (4,0) OK (2,-5) OK
 Travel_Word_Problems/445757: A motorboat takes 3 hrs to travel 144 km going upstream the return trip takes 2 hrs going downstream what is the rate of the boat in still water and what is the rate of the current.1 solutions Answer 306985 by josmiceli(9817)   on 2011-05-05 20:42:38 (Show Source): You can put this solution on YOUR website!Let = the rate of the current Let = the speed of the boat in still water given: time going upstream: hrs time going downstream: hrs The equation going upstream: (1) The equation going downstream: (2) ---------------------- There are 2 equations and 2 unknowns, so it should be solvable (1) (1) and (2) (2) Multiply both sides of (1) by and both sides of (2) by and subtract (1) from (2) (2) (1) km/hr and (2) (2) (2) (2) km/hr 12 km/hr is the rate of the current 60 km/hr is the speed of the boat in still water
 Age_Word_Problems/445517: The sum of Steve and Tim is 72 years. In 12 years time Steve, the older person, will be 6 times the age that Tim was 21 years ago. 1.1) What are their present ages? 1.2) What was the difference between their ages 15 years ago?1 solutions Answer 306885 by josmiceli(9817)   on 2011-05-05 12:41:34 (Show Source): You can put this solution on YOUR website!Let = Steve's age now Let = Tin's age now given: (1) (2) ------------------- (1) ) By substitution: (2) (2) (2) (2) and, since, (1) (1) (1) ------------- (1.1) Steve is 42 and Tim is 30 (1.2) The difference in their ages never changes, so, it was 12 years difference
 Money_Word_Problems/445512: juan has a jar containing eighty-four coins, all of which are either quarters or nickels. The total value of the coins is \$15.60. How many of each type of coin does he have? Define your variables, equations and box your result sentence.1 solutions Answer 306874 by josmiceli(9817)   on 2011-05-05 12:21:29 (Show Source): You can put this solution on YOUR website!Let = number of nickels Let = number of quarters given: (1) (2) (in cents) Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and, since (1) (1) He has 27 nickels and 57 quarters check answer: (2) (2) OK
 Linear_Equations_And_Systems_Word_Problems/445448: An art dealer sold 16 etchings for \$630. He sold some of them at \$35 each and the rest at \$45 each. How many etchings did he sell at each price?1 solutions Answer 306842 by josmiceli(9817)   on 2011-05-05 10:46:59 (Show Source): You can put this solution on YOUR website!Let = number sold @ \$35 each Let = number sold @ \$45 each given: (1) (2) --------------------- Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and, since (1) (1) (1) The number sold @ \$35 each is 9 The number sold @ \$45 each is 7
 Problems-with-consecutive-odd-even-integers/445469: The sum of two numbers is 55. The smaller is 5 less than the larger what are the numbers1 solutions Answer 306838 by josmiceli(9817)   on 2011-05-05 10:36:58 (Show Source): You can put this solution on YOUR website!Let the larger number = Let the smaller number = given: (1) (2) ----------- By substitution: (1) (1) (1) (1) and (2) (2) (2) The numbers are 25 and 30
 Graphs/445014: Can you help me write the slope of the line for the graph below? http://www.flickr.com/photos/62474130@N03/5688140740/ Thanks so much!1 solutions Answer 306653 by josmiceli(9817)   on 2011-05-04 15:22:22 (Show Source): You can put this solution on YOUR website!the equation for this line is , since every point on the line has the same for any . The slope is (change in y)/ (change in x) has zero change for any change in , so the slope =
 Evaluation_Word_Problems/444966: Solve the problem by stating the equation you would use to solve and then solving it. Be sure to show all of your work. In a local election, 46,100 people voted. This was a decrease of 8% over the last election. How many people voted in the last election? Round to the nearest whole person1 solutions Answer 306626 by josmiceli(9817)   on 2011-05-04 13:34:53 (Show Source): You can put this solution on YOUR website!Let = number who voted in last election given:
 Evaluation_Word_Problems/444968: Use an inequality to solve the problem. Be sure to show the inequality and all of your work. A salesperson has two job offers. Company A offers a weekly salary of \$90 plus commission of 6% of sales. Company B offers a weekly salary of \$180 plus commission of 3% of sales. What is the amount of sales above which Company A’s offer is the better of the two?1 solutions Answer 306624 by josmiceli(9817)   on 2011-05-04 13:30:15 (Show Source): You can put this solution on YOUR website!Let = amount of weekly sales The inequality is ( company A's offer ) > (company B's offer ) given: If the amount of sales is greater than \$3,000, company A's offer is better check answer: Suppose amount of sales is \$3,001 OK
 Age_Word_Problems/444794: in 10 years' time the total ages for two brother and two sisters will be 100 what will the total be in 7 years' time show how you worked it out please its a Math problem1 solutions Answer 306544 by josmiceli(9817)   on 2011-05-04 06:55:50 (Show Source): You can put this solution on YOUR website!There are of them. In years, each one of them will be years older. Their total number of years will be increased by years
 Linear-systems/444820: y=5/6x-14 find the slope and y intercept1 solutions Answer 306541 by josmiceli(9817)   on 2011-05-04 06:43:07 (Show Source): You can put this solution on YOUR website! slope = y-intercept =
 logarithm/444821: I could really use this some help with this logarithm problem. I have submitted this question twice before and have not received any reply back. Please help me solve this logarithm exponential equation 6^x+1 = 10 thank you1 solutions Answer 306540 by josmiceli(9817)   on 2011-05-04 06:41:30 (Show Source): You can put this solution on YOUR website! Subtract from both sides Take the log of both sides
 Linear-systems/444819: write the slope intercept equation for the line with slope 4/5 and y intercept(0,-1)1 solutions Answer 306538 by josmiceli(9817)   on 2011-05-04 06:33:20 (Show Source): You can put this solution on YOUR website! = slope = y-intercept
 Rectangles/444815: the area of a rectangle is 84 cm2.Its length is 12 cm. Find its perimeter1 solutions Answer 306537 by josmiceli(9817)   on 2011-05-04 06:28:54 (Show Source): You can put this solution on YOUR website! cm cm2 cm
 Linear-systems/444501: how do you solve 4x=6-2y 6x+3y=-91 solutions Answer 306380 by josmiceli(9817)   on 2011-05-03 17:06:01 (Show Source): You can put this solution on YOUR website!(1) (2) Add to both sides of (1) (1) (2) Divide both sides of (1) by Divide both sides of (2) by (1) (2) These equations have no solution because the line are parallel and do not intersect here is a plot:
 Polynomials-and-rational-expressions/444480: how do I factor this expression ; 18^2 - 27x + 4 thank you much!1 solutions Answer 306370 by josmiceli(9817)   on 2011-05-03 16:41:51 (Show Source): You can put this solution on YOUR website! Use the quadratic formula and and The factors are:
 Average/444241: How do you find the averages in algebra?1 solutions Answer 306313 by josmiceli(9817)   on 2011-05-03 10:52:23 (Show Source): You can put this solution on YOUR website!average of 5 data items =( data1 + data2 + data3 + data4 + data5 ) / 5 so, if the data was: 5, 2, 9, -3, 10, the average is: ( 5 + 2 + 9 + (-3) + 10 ) / 5 = 23/5 23/5 = 4.6
 Mixture_Word_Problems/444253: ok i am in algerbra and my final is coming up in a couple of weeks and i honestly have no clue how to do mixtrue problems, is there any way you can help????1 solutions Answer 306310 by josmiceli(9817)   on 2011-05-03 10:46:46 (Show Source): You can put this solution on YOUR website!Here's a sample problem that I solved: ------------------------------- Soybean is 18% protein Cornmeal is 9% protein How many lbs of each should be mixed together to get 360-lb mixture that is 12% protein? ----------------------------- Let a = pounds of soybean needed Let b = pounds of cornmeal needed given: .18a = protein in soybeans .09b = protein in cornmeal (1) a + b = 360 (2) ( .18a + .09b ) / 360 = .12 ----------------------- (2) .18a + .09b = .12*360 (2) .18a + .09b = 43.2 (2) 18a + 9b = 4320 Multiply both sides of (1) by 9 and subtract (1) from (2) (2) 18a + 9b = 4320 (1) -9a - 9b = -3240 9a = 1080 a = 120 and (1) a + b = 360 b = 360 - 120 b = 240 120 pounds of soybeans are needed 240 pounds of cornmeal are needed check answer: (2) ( .18a + .09b ) / 360 = .12 (2) .18*120 + .09*240 = .12*360 (2) 21.6 + 21.6 = 43.2 (2) 43.2 = 43.2 OK
 Probability-and-statistics/444217: Can you please show me how to figure this? Based on a survey at school, it was found that 75% of the boys and 65% of the girls like to watch hockey games. There are an equal number of boys and girls at the school. If someone does NOT like to watch hockey games, what is the approximate probability that the person is a boy? Thank you!1 solutions Answer 306304 by josmiceli(9817)   on 2011-05-03 10:21:15 (Show Source): You can put this solution on YOUR website!Let the total of boys plus girls = The number of boys who watch hockey is The number of girls who watch hockey is The number of students who don't watch hockey is The number of boys who don't watch hockey is The probability that someone who doesn't watch hockey is a boy is
 Money_Word_Problems/443879: A \$40 000 inheritance was divided among 3 brothers, John, Daniel and Philip. John received \$2000 less than Daniel. Daniel received \$3000 more than Philip. How much money did each brother receive?1 solutions Answer 306107 by josmiceli(9817)   on 2011-05-02 16:11:13 (Show Source): You can put this solution on YOUR website!Let = John's share Let = Daniel's share Let = Philip's share given: (1) (2) (3) ----------------- This is 3 equations and 3 unknowns, so it's solvable (3) (3) Substitute (2) and (3) in (1) (1) (1) (1) (1) (1) and (2) (2) (2) and (3) (3) (3) \$13,000 is John's share \$15,000 is Daniel's share \$12,000 is Philip's share
 Percentage-and-ratio-word-problems/443871: Susan makes \$6 per hour on a 40 hour worksheet plus \$9 per hour for overtime. If her pay is \$294, how many over time hours did she work?1 solutions Answer 306100 by josmiceli(9817)   on 2011-05-02 15:57:37 (Show Source): You can put this solution on YOUR website!Let o.t. hours = She worked 6 hrs o.t.
 Graphs/443877: how do you graph -3x + y = 51 solutions Answer 306098 by josmiceli(9817)   on 2011-05-02 15:54:35 (Show Source): You can put this solution on YOUR website!First get it into the form where = slope and = y-intercept Add to both sides slope = y-intercept = The x-intercept is where , so So, now you have 2 points, (0,5), (-5/3,0) and the slope, The graph is:
 Linear-equations/443872: Which is an equation for the line that contains the points (-2, 3) and (2, -1)?1 solutions Answer 306094 by josmiceli(9817)   on 2011-05-02 15:46:37 (Show Source): You can put this solution on YOUR website! check answer: (-2,3) and (2,-1) OK
 Exponents/443873: Can you show me how to work (4x) with an exponent of -3....I am coming up with -64x with an exponent of -3 and need to make sure this is correct...thanks!1 solutions Answer 306092 by josmiceli(9817)   on 2011-05-02 15:39:57 (Show Source): You can put this solution on YOUR website!The rule for negative exponents is: You are given:
 Surface-area/443867: My question is how much of something (like a rope) would I need to make a 5 foot diameter circle and then also a 6 foot diameter circle?1 solutions Answer 306090 by josmiceli(9817)   on 2011-05-02 15:34:50 (Show Source): You can put this solution on YOUR website!The rope that makes a circle forms a circumference, and the equation is where is the radius. You are given: Diameter = ft If the diameter is ,
 Distributive-associative-commutative-properties/443756: Would you please show me the STEPS to factor the following: 6x^2+12x+6. I know the answer is 6(x+1)^2, I'm just confused as to how to get there.1 solutions Answer 306013 by josmiceli(9817)   on 2011-05-02 11:53:28 (Show Source): You can put this solution on YOUR website! Divide both sides by Use the quadratic formula This is called a double root, since the equation must have 2 roots, it has the same root twice. Plug it back in for to check. Rewrite it as: 1st factor 2nd factor answer Note that after you multiply it out as Multiplying both sides by doesn't change anything
 Word_Problems_With_Coins/443749: Two trains are 500 miles apart. They start towards eachother at the same time,one's speed is 20 miles per hour faster than the other.Thet meet in 4 hours.How fast is each train going?1 solutions Answer 306005 by josmiceli(9817)   on 2011-05-02 11:33:26 (Show Source): You can put this solution on YOUR website!Think of 1 train as standing still and the other heading towards it at the sum of their speeds Let the speed of the slower train = The slower train is going 52.5 mi/hr The faster train is going 72.5 mi/hr check amswers: slower train: faster train: OK