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Recent problems solved by 'josmiceli'

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Graphs/179483: Solve each of the following problems by using an inequality. Ronald wants to sell his car through a broker who charges a commission of 10% of the selling price. Ronald still owes $11,025 on the car. Ronald must get enough to at least pay off the loan. What is the range of the selling price? 1 solutions Answer 134420 by josmiceli(9674)   on 2009-01-31 15:07:21 (Show Source): You can put this solution on YOUR website! let = the minimum selling price

Travel_Word_Problems/179409: Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hours less. Find the speed of his vehicle. 1 solutions Answer 134378 by josmiceli(9674)   on 2009-01-31 00:13:49 (Show Source): You can put this solution on YOUR website! (1) (2) Subtract (1) from (2) And, since Solve by completing the square Notice the left side is a perfect square And so is the right side Take the square root of both sides The speed is 30 mi/hr check: (1) hrs (2) (2) (2) hrs OK

Exponential-and-logarithmic-functions/179442: Hello dear tutor, I need help with a certain math problem today that we just learned in class, but I can only get how to do really with like an actual example from my homework, which is why I am here, trying to learn! So here is the question! Thanks so much for helping out! it means ALOT! Which grows faster as x increases, x^3, or 3^x? Explain. 1 solutions Answer 134376 by josmiceli(9674)   on 2009-01-30 23:59:44 (Show Source): You can put this solution on YOUR website! Rate of growth answers the question: "How fast is it getting larger? It's the same as "How fast is the child growing? Growth is a change all by itself, but I can ask: "Is that child growing faster than that other child? Here's how I would compare the 2 functions: --------- x -- f(x) -- change in f(x) 0 -- 0 1 -- 1 -- 1 2 -- 8 -- 7 3 -- 27 -- 19 4 -- 64 -- 37 5 -- 125 -- 61 --------- x -- f(x) -- change in f(x) 0 -- 1 1 -- 3 -- 2 2 -- 9 -- 6 3 -- 27 -- 21 4 -- 81 -- 54 5 -- 243 -- 162 --------- The change in is bigger for for every term after So, grows faster

Percentage-and-ratio-word-problems/179401: A recipe for piecrust calls for 2/3 cup of flour. A chef is making 1/2 of the recipe. How much flour should the chef use? 1 solutions Answer 134323 by josmiceli(9674)   on 2009-01-30 17:17:06 (Show Source): You can put this solution on YOUR website! He should use half of 2/3 of a cup One-half of this is The chef should use 1/3 of a cup

Age_Word_Problems/179292: The sum of 4 times Joan's age and 3 times Jim's age is 47. Jim is 1 year less than twice as old as Joan. Find each of their ages. 1 solutions Answer 134321 by josmiceli(9674)   on 2009-01-30 17:13:12 (Show Source): You can put this solution on YOUR website! Let = Joan's age Let = Jim's age given: (1) (2) substitute in (2) for in (1) (1) And, since (2) Joan is 5 and Jim is 9

Percentage-and-ratio-word-problems/179398: A landscaping company buys 10 rose bushes and 25 magnolia trees for a project. What fraction of the purchase were rose bushes? 1 solutions Answer 134315 by josmiceli(9674)   on 2009-01-30 17:06:54 (Show Source): You can put this solution on YOUR website! answer

Triangles/179395: if an a-frame house is 45 feet high and 32 feet wide, what is the measure of the angle that the roof makes with the floor? 1 solutions Answer 134307 by josmiceli(9674)   on 2009-01-30 16:42:20 (Show Source): You can put this solution on YOUR website! Half of the width is 16 ft The height is 45 ft 45/16 is the tangent of the angle that the roof makes with the floor degrees answer

Quadratic_Equations/179376: An original quadratic equation for x is of the form: x^2+bx+c=0. If c is increased by 4, the roots for x of the resulting equation are equal, but if the original c is decreased by 5 one of the roots for x in this resulting equation is twice the other. Find the product of the roots for x in the original quadratic equation. 1 solutions Answer 134305 by josmiceli(9674)   on 2009-01-30 16:24:14 (Show Source): You can put this solution on YOUR website! If the roots are and , I can write the original equation is of the form (1) (2) Subtract (1) from (2) The product of the roots is 14 check: (1) OK

Travel_Word_Problems/179360: This question is from textbook intermediate algebra Mark walked for 60 minutes and biked for 90 minutes. He bikes four times faster than he walks. If the total distance traveled is 14 miles, then what was his biking speed in MPH? 1 solutions Answer 134268 by josmiceli(9674)   on 2009-01-30 11:50:38 (Show Source): You can put this solution on YOUR website! I can write 2 equations, 1 for biking and 1 for walking (1) (2) ------ Given: hrs hrs mi ------- Now I can rewrite (1) and (2) (1) (2) ------- (1) (1) (2) (2) ------- Add (1) and (2) mi/hr And, since mi/hr His biking speed was 8 mi/hr check: mi And mi (1) OK (2) OK

Graphs/179303: A Michigan Orchard made 13,800 lb of taffy apples with approximately 1 lb of taffy mixture for each 77.2 pounds of apples. To the nearest tenth of a pound, how many pounds of apples and how many pounds of taffy were used. How many pounds of taffy were used to the nearest tenth. How many pounds of apples were used to the nearest tenth. 1 solutions Answer 134230 by josmiceli(9674)   on 2009-01-30 04:44:29 (Show Source): You can put this solution on YOUR website! Let = the pounds of taffy mixture used Let = the pounds of apples used given: lbs lbs 13624.2 pounds of apples and 175.8 pounds of taffy were used

Quadratic_Equations/179308: This question is from textbook Time off for lunch. It usually takes Eva 3 hours longer to do the monthly payroll than it takes Cicely. They start working on it together at 9:00 A.M. and at 5:00 P.M. they have 90% of it done. If Eva took a 2-hour lunch break while Cicely had none, then how much longer will it take for them to finish the payroll working together? 1 solutions Answer 134229 by josmiceli(9674)   on 2009-01-30 04:30:42 (Show Source): You can put this solution on YOUR website! Let = the time it takes Cicely to do monthly payroll Then will be the time it takes Eva to do the payroll Let = the fraction of the 90% they did working together Let = the fraction of the 90% Cicely did working 2 hrs by herself given: Between 9AM and 5 PM, there are 8 hrs If Eva took a 2-hour lunch break, then she only worked 6 hrs on the payroll. They actually worked together for 6 hrs and Cicely worked alone for 2 hrs. --------------------------------- Working together: (1) (2) (3) -------------------- (1) Multiply both sides by Solve using quadratic formula And,since (3) Also,since Now I can solve for completing the remaining 10% of the job (1) Multiply both sides by hr Working together, they can finish the job in 47.25 min check: (1) close (2) OK

Travel_Word_Problems/179245: A train leaves Chicago going west. A second train leaves Chicago going east an hour earlier. The train going west travels at 51 mph while the train going east travels 87mph. How long the train headed west leaves are the trains 439 miles apart. 1 solutions Answer 134192 by josmiceli(9674)   on 2009-01-29 21:30:03 (Show Source): You can put this solution on YOUR website! Set up 2 equations For the west-bound train: (1) For the East-bound train: (2) given: mi/hr mi/hr mi hrs ------------------------ (1) (3) ------------------------ (2) (4) Since (3) and (4) are both equal to , set them equal to eachother hr and hrs hrs The trains are 439 mi apart 2.55 hrs after the westbound train leaves check: mi and and mi close enough

Geometry_Word_Problems/179253: I need help with these two word problems. 1. The perimeter of a rectangle is 24 centimeters. The lenght of the rectangle is four more than the width. What is the length of the rectangle. 2. The sum of three consecutive even intergers is 444. what are the three numbers. 1 solutions Answer 134180 by josmiceli(9674)   on 2009-01-29 20:39:26 (Show Source): You can put this solution on YOUR website! Call the perimeter length = width = given: (1) cm (2) cm --------- And, from (2), cm cm answer ----------------------- Call the smallest even integer The next even integer will be The next even integer will be given: The 3 cosecutive even integers are 146, 148 and 150 check: OK

Equations/179184: what is the value of n n/3=16-n i can't figure out how to get n on both sides of the equation 1 solutions Answer 134132 by josmiceli(9674)   on 2009-01-29 12:31:49 (Show Source): You can put this solution on YOUR website! You can do anything to an equation, as long as you do the same thing to both sides Some things you could do make it less simple You want to make it more simple 1st I'll multiply both sides by Now add to both sides answer -------------------- Suppose I wanted to do something totally different? Just to show you I'll get the same answer I'll subtract from both sides Now I'll divide both sides by Add to both sides Multiply both sides by Multiply both sides by That was the hard way, but I got the same answer

Graphs/179162: Ok, shhhhhhhhhhh I am a 48 year old, 26 year veteran second grade teacher taking a math class. Yeah, I am wondering the same thing too WHY? I want to learn this but it is really really hard. I had this in class. It made sense then but it does not now. I have tried doing my homework right after the class but I am plain brain dead and so relieved the 8am-5pm class is over I don’t! I have a renewed understanding of students that struggle. Taking a deep breath, here it is: Let L3 denote the straight line passing through the points p1(1,3) and p2(-5,5). Find the slope of L3, find the y intercept of L3, the slope y- intercept form of the equation of L3 is_________. 2. Let L4 denote the straight line passing through the points P3(-3,3) and P4(1,-3). Find the slope of L4. Find y intercept of L4. The slope y-intercept form of the equation of L4 is _______. 3. On the coordinate grid, graph L3 and L4. Use visual observation to approximate the point of intersection of L3 and L4. Use algebra to find the exact point of intersection of L3 and L4. 4. Find the equation of the line parallel to L3 that passes through the origin (0,0). Find the equation of the straight line that is parallel to the line L4 an passes through the point (-2,-5). Ok I guess that is my 4 allowed questions :)Thank you in advance. 1 solutions Answer 134118 by josmiceli(9674)   on 2009-01-29 11:32:56 (Show Source): You can put this solution on YOUR website! (1) Start with the general slope-intercept form of a straight line, which is where = slope and = y-intercept You are given points in the form (x,y), p1(1,3) p2(-5,5) You can substitute these x-y pairs directly in the formula (1) (2) You have 2 equations and 2 unknowns, so it's solvable Subtract (1) from (2) (2) (1) Now plug this result back into (1) (1) this is the y-intercept The equation of the line is --------- Part (2) is just a repetition of this process In part (4), just make the same for both lines and use the given points to find parallel lines

Age_Word_Problems/179170: marlin is two years older than reese, and the same age as lee.If lee is 12, how old is reese?help me to make an algebraic equation 1 solutions Answer 134114 by josmiceli(9674)   on 2009-01-29 11:12:54 (Show Source): You can put this solution on YOUR website! Let = Marlin's age Let = Reeses age Let = Lee's age Given: --------------- Reese is 10 years old

Miscellaneous_Word_Problems/179174: 48 students participated in a taste test of three new flavors of icecream.half preffered block of chocolate, and 13 preferred pucker up lemon.how many preferred honeydew swirl? 1 solutions Answer 134111 by josmiceli(9674)   on 2009-01-29 11:08:02 (Show Source): You can put this solution on YOUR website! Let = number who preferred b.o.c. Let = number who preferred p.u.l. Let = number who preferred hd.s. given: One preferred honeydew swirl

expressions/179129: I do not understand the process of evaluating expressions with fractions. I am trying to assist my 11 yr old daughter w/ her Math homework. Here is an example of a couple problems: Evaluate n + 3/4 and 1 5/6 - n for each given value of n: 1.) n= 1/3 2.) n= 1 3/4 **PLEASE HELP US!!** 1 solutions Answer 134095 by josmiceli(9674)   on 2009-01-29 04:55:03 (Show Source): You can put this solution on YOUR website! The least common multiple is If you have a computer, helpwithfractions.com is good You can multiply the top and bottom of any fraction by the same number without changing the fraction This is the same as and doesn't change the fraction Also, again, I have not changed the fraction and I already determined or 1 1/12 answer ---------------------------- And n = 1 3/4 Note that , so I can rewrite it as 1 3/4 = , or 2 1/2 answer I hope this helps you to proceed

Expressions-with-variables/179047: This question is from textbook we are solving the x and y values of the linear equations using the substitution method im stuck 0.5x-2y=17 2x+y=104 can you help me solve the x nd y values 1 solutions Answer 134008 by josmiceli(9674)   on 2009-01-28 18:56:38 (Show Source): You can put this solution on YOUR website! (1) (2) You can solve for or in either equation and substitute it into the other equation I'll solve for in (1) (1) Now I'll substitute this expression for {{x}}} In equation (2) (2) answer I'll substitute this back into (1) (1) answer

Square-cubic-other-roots/179027: A dolphin can swim 30 miles per hour. A sea lion can swim 25 miles per hour.If both animals swim for 5 hours, how much farther will the dolphin go? 1 solutions Answer 133981 by josmiceli(9674)   on 2009-01-28 17:30:22 (Show Source): You can put this solution on YOUR website! Let = the distance the dolphin travels in miles Let = the distance the sea lion travels in miles Let = the dophin's speed Let = the sea lion's speed Let = elapsed time for the dolphin Let = elapsed time for the sea lion --------------------------------------- I can write equations for both animals and ----------------------- given: mi/hr mi/hr hrs hrs ------------------ Now I can write mi mi The dolpin can swim 25 mi farther than the sea lion in 5 hrs

Expressions-with-variables/178940: This question is from textbook algebra sturcture and method can you please help me express in simplest radical form: (((6 square root sign7 multiplied by 3 square root sign5))) 1 solutions Answer 133878 by josmiceli(9674)   on 2009-01-28 10:42:04 (Show Source): You can put this solution on YOUR website!

Expressions-with-variables/178944: This question is from textbook algebra structure and method can you please help me solve: ((( square root sign x+5 = 8))) 1 solutions Answer 133876 by josmiceli(9674)   on 2009-01-28 10:39:26 (Show Source): You can put this solution on YOUR website! Square both sides check: OK

Polynomials-and-rational-expressions/178836: Find 4 consecutive even integers where the product of two smaller numbers is 56 less than the product of the two larger numbers. 1 solutions Answer 133860 by josmiceli(9674)   on 2009-01-28 03:45:14 (Show Source): You can put this solution on YOUR website! Call the smallest interger The next larger even integer is The next larger even integer is The next larger even integer is given: The numbers are 4,6,8,and 10 check: OK

Expressions-with-variables/178877: A motorcycle breaks down and the rider has to walk the rest of the way to work. The motorcycle was traveling at 45mi/h, and the rider walks at a speed of 6 mi/h. The distance from home to work is 25 miles, and the total time for the trip was 2 hours. How far did the motorcycle go before it broke down? 1 solutions Answer 133843 by josmiceli(9674)   on 2009-01-27 22:19:31 (Show Source): You can put this solution on YOUR website! Let = the time on the motorcycle Let = the distance travelled on the motorcycle Multiply both sides by The motorcycle went 15 mi before it broke down check: OK

Matrices-and-determiminant/178636: This question is from textbook TEXAS ALGERA 2 HOW DO YOU SOLVE THIS PROBLEM Y=(X-1)(X+2) I DONT GET THE STEPS IS IT GCF OR WHAT IM TOTALLY LOST 1 solutions Answer 133745 by josmiceli(9674)   on 2009-01-27 16:39:29 (Show Source): You can put this solution on YOUR website! Language is very important in math. First of all, can't be "solved" You've got 1 equation with 2 unknowns. In order for there to be a solution, the number of equations has to match the number of unknowns. Very important You have to know what is required of any problem before you can do anything with it. What do they want? If they want you to find the roots of the equation, They are the values of that make true If I say , I get So is a root If I say , I get So is a root also If you don't know what a problem is looking for, there's no way you can give it to them

Functions/178719: What is the equation for the function in the form f(x)= mx+b? f(1)=1, f(4)=10 Thank you 1 solutions Answer 133686 by josmiceli(9674)   on 2009-01-27 09:13:41 (Show Source): You can put this solution on YOUR website! is a function of , or given: This gives me the point (1,1) This gives me the point (4,10) For the point (1,1): (1) For the point (4,10): (2) Multiply (1) by and subtract from (2) (2) (1) Substitute this in (1) (1) The equation is answer check: does it go through (1,1)? OK Does it go through (4,10)? OK

Money_Word_Problems/178713: Please help. the members of a flying club plan to share equally the cost of a $20,000 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 133685 by josmiceli(9674)   on 2009-01-27 09:00:58 (Show Source): You can put this solution on YOUR website! Let = current number of members in club The present cost/person is If 5 more join, will be the cost /person given: Multiply both sides by Divide both sides by and (answer can't be negative) There are currently 5 members in the club check: OK

Travel_Word_Problems/178714: Please help. Debbie traveled by boat 5 miles upstream to fish in her favorite spot. Because of the 4-mph current, it took her 20 minutes longer to get there than to return. How fast will her boat go in still water? 1 solutions Answer 133680 by josmiceli(9674)   on 2009-01-27 08:08:20 (Show Source): You can put this solution on YOUR website! Let the speed of her boat in still water = Let the speed of the current = Against the current: with the current: ------------------------- given: mi mi mi/hr hr (20 min is 20/60 of an hour) -------------------------- Now I can write: (1) (2) I have 2 equations and 2 unknowns, so it should be solvable Since both (1) and (2) = , I'll set the right sides equal to eachother Divide both sides by Substitute this value of into (2) (2) (2) Her boat will go 11.66 mi/hr in still water check answer: (2) (2) hrs hrs ------------------------ (1) close enough (2) close enough And, also should be 20 min longer than min close enough

Equations/178704: Joe has received an 11% increase in salary. His new weekly earnings are $222. What was his previous weekly salary? 1 solutions Answer 133678 by josmiceli(9674)   on 2009-01-27 07:13:44 (Show Source): You can put this solution on YOUR website! Call his previous weekly salary is his increase in salary His previous weekly salary was $200

Equations/178708: At the end of the year, a car dealer advertises that the list prices on all of last year's models have been discounted by 15%. What was the original price of the car that now carries a discounted price of $6,849.30 1 solutions Answer 133677 by josmiceli(9674)   on 2009-01-27 07:09:26 (Show Source): You can put this solution on YOUR website! Call the original price The original price was $8,058.00

Points-lines-and-rays/178710: The lengths of the sides of three squares are x, x+1, and x+2.If their total area is 365 m^2, find their total perimeter. 1 solutions Answer 133675 by josmiceli(9674)   on 2009-01-27 07:02:58 (Show Source): You can put this solution on YOUR website! If the sides of the 3 squares are , , and , their areas are: , , and given: The total area of the 3 squares is 365 m2 ---------- Solve by completing the square If the side of a sqare = , then the perimeter = , so the perimeters are: m