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Recent problems solved by 'josmiceli'

josmiceli answered: 9695 problems
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test/450891: A farmer has kept careful track of his orange grove's output over the years. The number of oranges produced can be modeled by N(t)= -t^2+100t+200. The average weight of the oranges over this same time can be modeled by W(t)=-0.0001t^2+0.02t+0.5. What would the polynomial look like to model the total weight of the oranges produced by this grove? 1 solutions Answer 310075 by josmiceli(9697)   on 2011-05-17 20:18:01 (Show Source): You can put this solution on YOUR website! The total weight would be

Triangles/450850: I really need some one to explain how to do this question . The three angles of a triangle are 3x, x + 10, and 2x - 40. Find the size of the smallest angle in the triangle? 1 solutions Answer 310071 by josmiceli(9697)   on 2011-05-17 20:09:04 (Show Source): You can put this solution on YOUR website! The angle must be positive, so If , The other 2 angles will be greater than Also the sum of the angles must be 180 degrees This is the smallest

Geometry_Word_Problems/450703: a course has 5 equally weighted exams. a student has grades so far of 62%, 73%, 81% and 79%. what would the student need on the last exam for a score of at least 70%? 1 solutions Answer 310010 by josmiceli(9697)   on 2011-05-17 15:17:20 (Show Source): You can put this solution on YOUR website! Let = score the student needs on last exam The student needs a 55% to average at least 70%

Geometry_Word_Problems/450704: a woman has 8 yards of fencing, how much of a rectangular area can she enclose? 1 solutions Answer 310009 by josmiceli(9697)   on 2011-05-17 15:07:49 (Show Source): You can put this solution on YOUR website! She can have a square with each side = yards This is an area = square yards

Rate-of-work-word-problems/450701: Hi, can you help me understand this! "Tim can build 3 shelves in one day and Al can build 4 shelves in 2 days. If Al starts work one day before Tim, how long will they work together to build 22 shelves?" Thank you very much for your time! 1 solutions Answer 310008 by josmiceli(9697)   on 2011-05-17 15:03:55 (Show Source): You can put this solution on YOUR website! Add their rates of working to get their rate working together. Their rates are: (number of shelves built) / (days to build that many shelves) ----------------- The question is: how many shelves does Al build in his 1 day head start? Al builds 2 shelves, and then Tim joins him. Now they only have to build 20 shelves. Working together: Multiply both sides by Together they can build 20 shelves in 4 days. They build 22 shelves in 5 days

Polynomials-and-rational-expressions/449943: a person is walking with uniform speed. he increases his speed by 20% when he completes half the journey. the second half of the journey takes 30 minutes less than the first half. What is the time taken to cover both halves individually? 1 solutions Answer 309531 by josmiceli(9697)   on 2011-05-16 03:30:18 (Show Source): You can put this solution on YOUR website! 1st half: 2nd half: divide both sides by The 1st half takes 3 hrs to cover The 2nd half takes 2 and a half hours to cover

Percentage-and-ratio-word-problems/449944: if i have a percentage of 135.8% how do i get its ratio 1 solutions Answer 309530 by josmiceli(9697)   on 2011-05-16 03:20:13 (Show Source): You can put this solution on YOUR website! It would be

Equations/449961: a direct dialed telephone call from Tampa to new york is $3.05 for the first 3 minutes and .70 cents for each additional minute or fraction thereof. If Juan's call cost $7.95 how many minutes was the call? 1 solutions Answer 309529 by josmiceli(9697)   on 2011-05-16 03:16:43 (Show Source): You can put this solution on YOUR website! Let = number of minutes of the call (in cents) This is too much- should .70 cents be 70 cents ?

Linear-equations/449953: Another basketball game turned out to be a rout in which the team scored 55 more points than the losing team. If the total number of points in the game was 133 what was the final score? 1 solutions Answer 309527 by josmiceli(9697)   on 2011-05-16 03:07:40 (Show Source): You can put this solution on YOUR website! Let = final score of the losing team The final score was 94 to 39

Linear-equations/449956: A toy rocket goes vertically upward with and initial velocity of 96 feet per second. After t seconds, the velocity of the rocket is given by the formula v=96-32t, neglecting air resistance. In how many seconds will the rocket reach it's highest point? (hint at the highest point, v=0) 1 solutions Answer 309526 by josmiceli(9697)   on 2011-05-16 03:02:26 (Show Source): You can put this solution on YOUR website! In 3 seconds the highest point is reached

Miscellaneous_Word_Problems/449945: Lisa is 15 years old. Marcus is 49 years old. How old will they both be when Marcus is three times as old as Lisa? (Make a table to solve this problem) 1 solutions Answer 309519 by josmiceli(9697)   on 2011-05-16 02:50:05 (Show Source): You can put this solution on YOUR website! You can make the table, but here is how I would solve it: How many times Lisa's age is Marcus now? Let = number of years I want to add to both ages so that In 2 years, Marcus will be 3 times Lisa's age check: OK For a table, you can list x, 49 + x, 15 + x, 3*(15 + x) and x=1, x=2, x=3

Surface-area/449938: You are given one scrapbook page (12 inches by 12 inches). With only this for your material, you must create a container that will maximize volume while minimizing the total area. 1 solutions Answer 309518 by josmiceli(9697)   on 2011-05-16 02:38:17 (Show Source): You can put this solution on YOUR website! I think the answer might be to cut 4 x 4 inch squares out of each corner. If you then fold the sides up, you have a 4 x 4 x 4 box open on top. the volume is in3 The area is in2 ---------------------------- Call the squares cut out of the corners The surface area is then in2 The volume is then ----------------------------------- Suppose I removed 3.99 x 3.99 in2 from each corner and Both volume and area went up. Now try If either volume goes down or area goes up, my guess is right

Travel_Word_Problems/449557: Conrad can jog to Chris's house in 10 minutes. Chris can ride her bike to Conrad's house in 6 minutes. If they start from their houses at the same time, in how many minutes do they meet? 1 solutions Answer 309243 by josmiceli(9697)   on 2011-05-15 11:48:28 (Show Source): You can put this solution on YOUR website! They will each travel for the same amount of time Let = the distance between their houses Let = time for them to meet Conrad's rate = Chris's rate = --------------------- For Conrad: Conrad's distance = Chris's distance = The sum of the distances is Divide both sides by They will meet in 3 minutes and 45 seconds check: Conrad's distance = Conrad's distance = Chris's distance = Chris's distance = OK

Complex_Numbers/449535: The coach and the players of the football team shared the expense of a bus trip to a professional game. When 5 players were unable to go, each person had to pay an additional $1.50 to cover the cost of $540. How many people made the trip? 1 solutions Answer 309241 by josmiceli(9697)   on 2011-05-15 11:18:50 (Show Source): You can put this solution on YOUR website! Let = original number of players + coach = original amount each had to pay ( can't use negative square root ) people made the trip 40 people made the trip check: OK

Evaluation_Word_Problems/449517: In Professor Tuffguy's mathematics class, 36 students took the final exam. Of the average passing grade was 78, the average failing grade was 60, and the class average was 71, how many of these 36 students passed the final? A) 14 B) 22 C) 24 D) 29 Please explain your reasoning. Thank you. 1 solutions Answer 309236 by josmiceli(9697)   on 2011-05-15 10:55:02 (Show Source): You can put this solution on YOUR website! Use the formula average = (sum of data)/(number of data items) and sum of data = (average)*(number of data items) Let = number of students who passed Let = sum of passing grades = sum of failing grades ------------------------------------ The class average was and there are students sum of grades = ---------------------------- The students either passed or failed, so passing + failing = 36 passing = failing = ---------------- average of passing students = (1) average of failing students = (2) --------------------------- This is 2 equations and 2 unknowns, so it's solvable (1) (1) Substitute this in (2) (2) (2) (2) (2) 22 students passed the final check: (1) (1) (1) (2) (2) (2) OK

Angles/449525: Find the perimeter of a square if one side measures 27 centimeters. Include correct units with your solution. 1 solutions Answer 309227 by josmiceli(9697)   on 2011-05-15 10:15:33 (Show Source): You can put this solution on YOUR website! A square has 4 equal sides cm

Money_Word_Problems/449203: Bayside Insurance offers two health plans. Under plan A, Gisselle would have to pay the first $90.00 of her medical bills, plus 40% of the rest. Under plan B, Giselle would pay the first $130, but only 30% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over $130 in bills. How much would Giselle save with plan B is she more than x in bills? 1 solutions Answer 309063 by josmiceli(9697)   on 2011-05-14 09:58:18 (Show Source): You can put this solution on YOUR website! Let = amount she has to pay under plan A Let = amount she has to pay under plan B Let = total amount of her medical bills given: plan A: plan B: First I need to find the amount of bills for which If the bills are over $370, plan B costs less than plan A -------------------- The 2nd part want you to find and solve for Savings = Savings = Savings = --------------------- Here's a graph of the 2 plans:

Mixture_Word_Problems/449153: One pump takes 4 hours to fill up 20 gallons, another takes 5 hours to fill 20 gallons .If the two pumps work together, how many gallons will they fill in 8 hours? 1 solutions Answer 309014 by josmiceli(9697)   on 2011-05-13 22:07:47 (Show Source): You can put this solution on YOUR website! Add the rates to get combined rate of filling Multiply both sides by The will fill 72 gallons in 8 hours working together

Mixture_Word_Problems/449154: What is 18 raised to the power of 2/3? 1 solutions Answer 309012 by josmiceli(9697)   on 2011-05-13 22:01:58 (Show Source): You can put this solution on YOUR website!

Finance/449001: convert the number to scientific notation 0.00000008 1 solutions Answer 308879 by josmiceli(9697)   on 2011-05-13 12:52:44 (Show Source): You can put this solution on YOUR website! Express as to a negative power This is in scientific notation It always looks like a.aaa x 10^b

Graphs/449006: Solve each problem by writing a inequality A salesperson earns $350 per week plus 10% of her weekly sales. Find the sales necessary for the sales person to earn at least $800 in one week. Would the answer be (800-350)/.1=$4500 in sales? 1 solutions Answer 308875 by josmiceli(9697)   on 2011-05-13 12:35:12 (Show Source): You can put this solution on YOUR website! Let = the sales necessary for the sales person to earn at least $800 in one week The sales must be greater than or equal to $4,500 good answer, but use >=

Rate-of-work-word-problems/448983: Two printers working together can finish a piece of work in 6 days. Working alone, one of the printers can do the same work in 9 days. How long would it take the other printer to complete the work? 1 solutions Answer 308872 by josmiceli(9697)   on 2011-05-13 12:22:18 (Show Source): You can put this solution on YOUR website! Add their rates of working to get their rate working together. Let = time it takes the other printer to do a job Multiply both sides by It takes the other printer 18 days to do the work by himself

Probability-and-statistics/448986: I would really appreaciate if you can help me with the following problem I need to solve. The cost of C of production X thousand units of a product is given by C=x^2-30x+335(Dollars) Find the value of X for which the cost is minimum. Thank you very much. 1 solutions Answer 308871 by josmiceli(9697)   on 2011-05-13 12:17:36 (Show Source): You can put this solution on YOUR website! This equation is a parabola with a minimum at The cost is a minimum at x = 15 thousand units Here's a graph:

Finance/448989: How would you graph this equatin and identify the y-intercept? x + 4y = 12 1 solutions Answer 308867 by josmiceli(9697)   on 2011-05-13 12:06:21 (Show Source): You can put this solution on YOUR website! This is in the form , where is the y-intercept Here is the graph:

Money_Word_Problems/448753: A restaurant charges $7 for a regular meal and $5 for a child's meal. Both include tax. A family of nine people spent $53 at the restaurant. How many regular meals and how many children's meal did they pay? 1 solutions Answer 308750 by josmiceli(9697)   on 2011-05-12 19:38:42 (Show Source): You can put this solution on YOUR website! Let = number of regular meals Let = number of child's meals given: (1) (2) ------------- Multiply both sides of (2) by and subtract (2) from (1) (1) (2) and, since (2) (2) The number of regular meals is 4 The number of child's meals is 5 check: (1) (1) (1)

Age_Word_Problems/448547: Tom is 3 times as old as Todd. In 2 years Tom’s age will be 6 years more than 2 times as old as Todd. How old is Tom? 1 solutions Answer 308629 by josmiceli(9697)   on 2011-05-12 12:51:25 (Show Source): You can put this solution on YOUR website! Let = Tom's age now Let = Todd's age now given: (1) (2) (2) (2) By substitution: (2) and, since Tom is 24 and Todd is 8 check: (2) (2) (2) OK

logarithm/448536: Find the exact solution to the equation 5 ln(2x+6)=12. DO not give a decimal approximation. Thanks 1 solutions Answer 308622 by josmiceli(9697)   on 2011-05-12 11:41:58 (Show Source): You can put this solution on YOUR website!

Linear_Equations_And_Systems_Word_Problems/448512: The manager of a candy shop wishes to mix candy worth $4 per pound, $6 per pound and $10 per pound to get 100 pounds of a mixture worth $7.60 per pound. The amount of $10 candy must equal the total amounts of the $4 and $6 candy. how many ounds of each must he use? 1 solutions Answer 308621 by josmiceli(9697)   on 2011-05-12 11:37:32 (Show Source): You can put this solution on YOUR website! Let = pounds of $4 candy needed Let = pounds of $6 candy needed Let = pounds of $10 candy needed given: (1) (2) (2) (2) (3) ------------------------------- There are 3 equations and 3 unknowns, so it's solvable (3) (3) Add (3) and (1) (1) (3) From (3), Substitute this into (2) (2) (2) (2) Multiply both sides of (3) by and subtract (3) from (2) (2) (3) and, since 20 pounds of $4 candy are needed 30 pounds of $6 candy are needed 50 pounds of $10 candy are needed check answer: (2) (2) (2) (2) OK

Polynomials-and-rational-expressions/448505: Dividing polynomials and do a check (18t^3-24t^2+6t)/(3t) 1 solutions Answer 308607 by josmiceli(9697)   on 2011-05-12 10:30:16 (Show Source): You can put this solution on YOUR website! Divide each term on top by the bottom You can check by multiplying

Linear-equations/447976: Solve the problem. Please show all of your work. A home’s back yard drops 9 feet over a horizontal distance of 124 feet. Find the slope of this back yard. Round your answer to two decimal places. 1 solutions Answer 308339 by josmiceli(9697)   on 2011-05-11 09:54:11 (Show Source): You can put this solution on YOUR website! The definition of slope is: (change in vertical distance) / (change in horizontal distance) slope =

Polynomials-and-rational-expressions/447729: Im having trouble factoring polynomials. Can you please teach me how. Heres one of my homework problems: 36m2-81 1 solutions Answer 308188 by josmiceli(9697)   on 2011-05-10 18:39:18 (Show Source): You can put this solution on YOUR website! Notice that is a perfect square, and is a perfect square, so you can write them like this: Also, is a perfect square --------------- A general rule of algebra is: In your case, you have: ------------- The above rule is worth remembering. Hope this helps