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Travel_Word_Problems/607157: a. Mike and Scott live 110 miles from each other. They frequently meet for lunch at a restaurant that is between Mike’s house and Scott’s house. Leaving at the same time from their respective houses, Mike takes 1 hour and 30 minutes and Scott takes 1 hour and 15 minutes to get to the restaurant. If they each drive at the same speed, i. Determine their speed ii. How far from Scott’s house is the restaurant? Thank you! 1 solutions Answer 382461 by josmiceli(9649)   on 2012-05-04 14:29:51 (Show Source): You can put this solution on YOUR website! Let = distance from Scott's house to restaurant = distance from Mike's house to restaurant = speed for both Mike and Scott ---------------- Scott's equation: (1) Mike's equation: (2) --------------------------- Substitute (1) into (2) (2) (2) (2) mi/hr ------------ Both speeds are 40 mi/hr (1) (1) (1) Scott's house is 50 mi from restaurant check: (2) (2) (2) (2) (2) OK

Geometry_Word_Problems/607155: what is the area of a rectangle with the dimensions of 4 to the 4th power meters long and 2 to the -2nd power meters wide? 1 solutions Answer 382459 by josmiceli(9649)   on 2012-05-04 14:17:35 (Show Source): You can put this solution on YOUR website! and m2

Exponents-negative-and-fractional/607144: how do i solve by factoring 2x2-5x-12=0 ? 1 solutions Answer 382443 by josmiceli(9649)   on 2012-05-04 13:28:32 (Show Source): You can put this solution on YOUR website! You can use quadratic formula (1) and also, (2) ------------------ Multiplying (1) and (2),

test/607135: Pipe A can fill a tank in 4 h. Pipe B can fill the tank in 9 h less than the time it takes pipe C, a drain pipe, to empty the tank. When all 3 pipes are open, it takes 2 h to fill the tank. How much time is required for pipe C to empty the tank if pipe A and B are closed. 1 solutions Answer 382434 by josmiceli(9649)   on 2012-05-04 12:57:39 (Show Source): You can put this solution on YOUR website! Add the rates of filling and subtract the rate of emptying A's rate: ( 1 tank filled ) / ( 4 hrs ) B's rate: ( 1 tank filled ) / ( C's rate minus 9 hrs ) C's rate: ( 1 tank emptied ) / ( x hrs ) -------- When all 3 pipes are open, it takes 2 hrs to fill the tank. Multiply both sides by Use quadratic formula ( ignore the negative square root ) -------------- If A and B are closed, C can empty the tank in 12 hrs

test/607141: 26 feet around and 18inches deed ,how much concrete does it take to fill 1 solutions Answer 382430 by josmiceli(9649)   on 2012-05-04 12:37:25 (Show Source): You can put this solution on YOUR website! That's a trick question if that's all the information. For example, suppose I have 40 ft around and 1 foot deep. 40 ft around can be sides of 10-10-10-10 The area is ft2 Volume = cubic ft --------- But suppose the 40 ft around is 15-5-15-5, then the area is ft2 and the volume is cubic ft --------- So, there's no way to answer the question unless you have more information, like the area to be filled is square, etc.

Permutations/607052: a 40 row theater has 10 seats in the front row. the second row has 11 seats. if each row has one more than the row in front of it how many seats are there in the theater 1 solutions Answer 382357 by josmiceli(9649)   on 2012-05-04 04:44:29 (Show Source): You can put this solution on YOUR website! The rows are: All the way to rows, so This is the same as: + 0 + 1 + 2 + 3 + ... + 39 This is + (1/2) x (total number of rows) x 39 There are 1180 seats

Triangles/607062: how do you figure out the side lengths of an equalateral triangle when given the area 1 solutions Answer 382356 by josmiceli(9649)   on 2012-05-04 04:27:38 (Show Source): You can put this solution on YOUR website! As with any triangle, Let the sides of the equilateral triangle = Now the formula becomes Dropping a vertical to the base forms 2 back to back 30-60-90 triangles. Opposite the 30 is Opposite the 60 is Opposite the 90 is The vertical, , is opposite the 60 degree angle, so

Problems-with-consecutive-odd-even-integers/607060: A gush of wind sends dandelion seeds through the air. The path of the seeds can be modelled by the equation, h = -4.9t2 + 4t + 8 where h represents the height in centimeters and t is time measured in seconds. What is the highest height the seeds will reach? solve please 1 solutions Answer 382355 by josmiceli(9649)   on 2012-05-04 04:11:21 (Show Source): You can put this solution on YOUR website! The minus sign in front of the term tells me that this 2nd degree curve has a maximum and not a minimum. The t-coordinate of the vertex ( maximum ) is at when the form is Plug this back into equation to find The greatest height in cm is 8.8163 cm here's a plot: ( ignore the negative values of )

Miscellaneous_Word_Problems/606852: Jamie has 12 dimes and some nickles. Nick has 1/4 as many dimes and 1-1/2 times as many nickels as Jamie. If Jaime has the same amount of money as Nick, how many nickels does Nick have? 1 solutions Answer 382276 by josmiceli(9649)   on 2012-05-03 17:29:13 (Show Source): You can put this solution on YOUR website! Let = number of nickels Jamie has Nick has given: The amount of money Jamie has is: ( in cents ) The amount of money Nick has is: ( in cents ) given: Multiply both sides by Nick has nickels check answer: Jamie has cents and Nick has OK

Trigonometry-basics/606844: suppose f(x)= x^1/6. calculate f(2)to the nearest integer. 1 solutions Answer 382272 by josmiceli(9649)   on 2012-05-03 17:15:25 (Show Source): You can put this solution on YOUR website! To the nearest integer, the answer is

Quadratic-relations-and-conic-sections/606785: PLEASE HELP!!! IM SO CONFUSED!!! Thank you! Write the standard equation of this conic section: y^2-x^2+2y-14x-57 1 solutions Answer 382235 by josmiceli(9649)   on 2012-05-03 15:43:59 (Show Source): You can put this solution on YOUR website! Actually, you didn't give me an equation, so I can't give you an equation. You need an "=" sign somewhere, so I'll assume you have ------------ Add to both sides Rearrange the terms on the left Complete the square for the y terms and the x terms Divide both sides by This is a hyperbola with center at (-7,-1)

percentage/606780: what is the degree of 42.5% of 1200 students that used the internet. I want to know if I multiply the percentage by 360 degrees or how exactly do I solve this equation. Help please 1 solutions Answer 382214 by josmiceli(9649)   on 2012-05-03 15:01:21 (Show Source): You can put this solution on YOUR website! Correct- multiply So, 153 degrees of the pie chart is students that used internet ------------- You can label this as students The rest of the pie chart is students

test/606560: A container is half full. After 20 ounces are poured out, the container is 1/3 full. Find the number of ounces in the container when it is full. 1 solutions Answer 382106 by josmiceli(9649)   on 2012-05-02 23:37:28 (Show Source): You can put this solution on YOUR website! Let = ounces when it is full = ounces when it is half full = ounces when it is 1/3 full given: Multiply both sids by It contains 120 ounces when full

Numeric_Fractions/606572: The Carrigan family is thinking of cutting up their farmland to sell in 1 5/6 acre lots. Mrs. Jennings requests to purchase 2 3/10 of those lots. How many acres does Mrs. Jennings want to buy? 1 solutions Answer 382105 by josmiceli(9649)   on 2012-05-02 23:32:58 (Show Source): You can put this solution on YOUR website! acres

Miscellaneous_Word_Problems/606568: 10 ft of wire cut into 2 pieces. One is x ft long. Each wire shape into a square. Expression represents sum of areas in square feet. 2 square in terms of x? 1 solutions Answer 382104 by josmiceli(9649)   on 2012-05-02 23:26:57 (Show Source): You can put this solution on YOUR website! The two pieces are ft and ft long If I make a square out of the ft length, each side will be ft long, and the area will be ft2 -------- Each side of the other square will be long The area is ft2

test/606562: Angela, bob, and Charlie have a total of $35 in dollar bills. Bob has 3/4 as much as Angela and Charlie together. How many dollar bills does bob have? 1 solutions Answer 382103 by josmiceli(9649)   on 2012-05-02 23:15:05 (Show Source): You can put this solution on YOUR website! Let their amounts = (1) (2) --------------------- (2) substitute (2) into (1) (1) (1) (1) (1) Bob has $15

test/606564: Five years ago the sum of the number of years in the ages of Alice, Beatrice, Carlos, and Devon was 46. In years, what is the sum of their ages now? 1 solutions Answer 382102 by josmiceli(9649)   on 2012-05-02 23:04:24 (Show Source): You can put this solution on YOUR website! let five years ago Now each person is five years older, so The sum of their ages now is 66

Travel_Word_Problems/606504: A boat sails 10.0 km downstream in 5 hours. What is its speed in km/hr and in m/s? A glacier moves about 10 cm per day. How much distance it will cover in 10 year time period? Give the distance in km and also in m? The mass of a rock is 25.0 g and its volume is 150 cm3. What is its density in g/cm3? 1 solutions Answer 382080 by josmiceli(9649)   on 2012-05-02 21:07:39 (Show Source): You can put this solution on YOUR website! km/hr = km/hr ---------- In units: ( cm/day) x ( days/yr ) x ( m/cm ) = m/yr and ( cm/day) x ( days/yr ) x ( m/cm ) x ( km/m ) = km/yr ----------- m/yr and km/yr --------- g/cm3

Travel_Word_Problems/606222: john drove home at 40 mph. average speed on return is 24mph. return trip took 1/2 hour longer because of traffic. how for did she travel to appointment 1 solutions Answer 381960 by josmiceli(9649)   on 2012-05-02 09:46:09 (Show Source): You can put this solution on YOUR website! On 1st trip, mi/hr (1) ----------- On 2nd trip, mi/hr (2) ----------- By substitution: and, since (1) (1) (1) The appointment is 30 mi away check: (2) (2) (2) OK

Surface-area/606143: the ratio of the sides of two cubes is 2:3 and the different of their voloumes is 152. find the side of the bigger cube. 1 solutions Answer 381936 by josmiceli(9649)   on 2012-05-02 02:22:50 (Show Source): You can put this solution on YOUR website! Let the volume of the smaller cube = Let the volume of the bigger cube = Let the side of the smaller cube = Let the side of the bigger cube = ---------------- given: (1) (2) ----------------- The formulas for volume are ----------------- Substituting into (2), (2) (2) Substitue (1) into (2) (2) (2) (2) (2) (2) (2) (2) (2) and, since (1) (1) (1) The side of the bigger cube is 6 check: and (2) (2) (2) (2) OK

Mixture_Word_Problems/606141: A pharmacist mixed some 10%-saline solution with some 15%-saline solution to obtain 100 mL of a 12%-saline solution. How much of the 10%-saline solution did the pharmacist use in the mixture? 1 solutions Answer 381932 by josmiceli(9649)   on 2012-05-02 02:01:39 (Show Source): You can put this solution on YOUR website! Let = ml of 10% solution needed Let = ml of 15% solution needed = ml of salt in 10% solution = ml of salt in 15% solution ---------------- (1) (2) ---------------- (1) (1) Multiply both sides of (2) by and subtract (2) from (1) (1) (2) and, since (2) (2) (2) (2) 60 ml of 10% solution is needed check answer (1) (1) (1) (1) OK

Circles/605834: Hello...! I was hoping that you could tell me the diameter of a circle that contains 32 square miles...? Thanks...! :) ~Donny 1 solutions Answer 381822 by josmiceli(9649)   on 2012-05-01 14:04:10 (Show Source): You can put this solution on YOUR website! If is the area of the circle, you are given that miles2 The formula for the area of a circle is so, The diameter is twice the radius, so diameter is miles

Mixture_Word_Problems/605828: please help me to solve this problem. Thanks. If 30 laborers working 7 hours a day can finish a piece of work in 18 days, how many laborers working 6 hours a day can finish it in 30 days? 1 solutions Answer 381820 by josmiceli(9649)   on 2012-05-01 13:55:37 (Show Source): You can put this solution on YOUR website! (1) 30 laborers working 7 hours a day can finish a piece of work in 18 days (2) If they only work 1 hour a day, it will take them 7 times longer to finish, so (3) 30 laborers working 1 hour a day can finish a piece of work in 126 days (4) If they work 6 hours a day, It will take them 1/6 as long to finish (5) 30 laborers working 6 hours a day can finish a piece of work in 21 days (6) 7 times as many laborers can finish in 1/7 as many days, so (7) 210 laborers working 6 hours a day can finish a piece of work in 3 days (8) If they take 10 times longer to finish, they only need 1/10 as many laborers (9) 21 laborers working 6 hours a day can finish a piece of work in 30 days

Equations/605829: Please help! Find the value of p and q such that: 1/(√5-2)=p+q√5 thank you !! 1 solutions Answer 381819 by josmiceli(9649)   on 2012-05-01 13:39:50 (Show Source): You can put this solution on YOUR website! Notice that all I did was multiply the given expression by unity Now I can say Notice the denominator was like and

Probability-and-statistics/605827: 10000 = 33% of what number aljanonwills@yahoo.com 1 solutions Answer 381818 by josmiceli(9649)   on 2012-05-01 13:30:13 (Show Source): You can put this solution on YOUR website! The repeating decimal part .03030 ... equals 1/33

Probability-and-statistics/605820: Theron wants to save $5,000. If he has $4,000 and invests it at 5% simple interest, how long will it take him to obtain $5,000? 1 solutions Answer 381817 by josmiceli(9649)   on 2012-05-01 13:24:11 (Show Source): You can put this solution on YOUR website! The simple interest formula is: where = amount after years It will take 5 years

Radicals/605634: The height, h, of a ball on the moon t seconds after it is thrown upward with an initial velocity of 5meters per second is modeled by h= -0.8t squared + 5t. When will the ball land on the moon? 1 solutions Answer 381751 by josmiceli(9649)   on 2012-05-01 00:01:47 (Show Source): You can put this solution on YOUR website! Note that at the instant the ball is thrown upward, but also, when the ball commes back to the surface, so: The solutions are ( when ball is thrown ) and also, The ball lands 6.25 sec after it is thrown

Travel_Word_Problems/605635: A rock is thrown from the top of a tall building. The distance d in feet, between the rock and the ground t seconds after it is thrown is given by d= -16d squared + 2d + 560. How high will the rock be after 5.5 seconds? 1 solutions Answer 381750 by josmiceli(9649)   on 2012-04-30 23:54:52 (Show Source): You can put this solution on YOUR website! The equation looks wrong. It should be The rock will be 87 ft off the ground in 5.5 sec

Rational-functions/605630: I am an online student for Algebra II and the program does not give explanations for problems entered in a specific way. I had a problem on a quiz today which I got wrong and have no idea why I got it wrong. Please explain how to simplify: 2/[3*cbrt(5)] I tried to multiply both the numerator and denominator by 3*cbrt(5). The answer then would be 2*sqrt(5) over 15. But but this is wrong! 1 solutions Answer 381749 by josmiceli(9649)   on 2012-04-30 23:48:20 (Show Source): You can put this solution on YOUR website! I think your problem is the cube root. Suppose you have In order to get rid of the cube root sign, you should do this: That equals ---------------------------------- So, for your problem, I checked this punching in numbers: It checked out- try it

Quadratic_Equations/605216: write an quadratic function that has a vertex(-2,-4) and passes through the points (0,0). 1 solutions Answer 381580 by josmiceli(9649)   on 2012-04-30 02:16:59 (Show Source): You can put this solution on YOUR website! When the equation is of the form , the vertex is at given: and and, from above, So far, I have and this must go through (0,0), so So, the equation is: here's a plot:

Quadratic-relations-and-conic-sections/605082: for the function f(x)=3x^2+23x-14 find the domain and range 1 solutions Answer 381539 by josmiceli(9649)   on 2012-04-29 20:21:48 (Show Source): You can put this solution on YOUR website! I can put any number I want in for , (+) or (-), and I still get out 's, so the domain is + infinity to - infinity ---------------- The curve is a parabola with a minimum at it's vertex, and the vertex is at where Vertex is at Plug this into equation to find So, the range is + infinity to -697/12 Here's the plot: