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# Recent problems solved by 'josmiceli'

josmiceli answered: 9672 problems
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 Age_Word_Problems/189109: Carole's age 8 years ago was 5 times Carl's age. Five years ago, Carole's age was 3 time Carl's age. How old is each now? I have already used guess & check to find out that their ages are Carl: 11 and Carole: 23, but what I need help is showing my work and learning our to create an equation from it. Thank you.1 solutions Answer 141852 by josmiceli(9674)   on 2009-03-31 20:26:02 (Show Source): You can put this solution on YOUR website!Let = Carole's age now Let = Carl's age now = Carole's age years ago = Carl's age years ago = Carole's age years ago = Carl's age years ago -------------- given: (1) (2) --------------- (1) (1) (1) and (2) (2) (2) Subtract (2) from (1) (3) (3) Substitute this back in (1) or (2) (1) (1) (1) Carole is 23 and Carl is 11
 Rational-functions/189110: This question is from textbook I have a problem where I have to write an equation in function notation using this slope -5/8 (3,2) I know I need to use the y-y=m(x-x) and I get F(x)=-5/8x +17/8, but teh book has -5/8x+31/8. Where is teh 31 coming from?1 solutions Answer 141849 by josmiceli(9674)   on 2009-03-31 20:06:56 (Show Source): You can put this solution on YOUR website!Sometimes I do it this way: The point (3,2) is given, so So the equation is: ----------------------------- The other way is: And, of course,
 Exponents-negative-and-fractional/188774: can you please help me solve this problem?! Given the equation , if you were to increase the base to 5, what would it do to the shape of the graph? a.The graph would show a decreasing trend rather than an increasing trend b.The graph would appear wider, away from the y-axis sooner, showing a slower increasing trend c.The graph would appear skinnier, closer to the y-axis, showing a quicker increasing trend. 1 solutions Answer 141586 by josmiceli(9674)   on 2009-03-29 12:45:12 (Show Source): You can put this solution on YOUR website!For each value of , would be greater. The greater the value of , the greater the increase in . That would move the graph closer to the y-axis. (c) is the answer
 Miscellaneous_Word_Problems/188727: This question is from textbook the difference of two numbers is 6. Find their minimum product1 solutions Answer 141538 by josmiceli(9674)   on 2009-03-28 18:50:56 (Show Source): You can put this solution on YOUR website! This is a minimum when and
 Polynomials-and-rational-expressions/188730: This question is from textbook saxon algebra 2 Find the roots of y=x^3-125. I got down to 5^2-4(1)(25) 25-100 from here I think I'm wrong. Someone please help!1 solutions Answer 141536 by josmiceli(9674)   on 2009-03-28 18:44:31 (Show Source): You can put this solution on YOUR website! The roots occur where (note that ) There is just 1 root, since
 Linear-systems/188573: This question is from textbook Thinking Mathematically The percentage of global energy used by China exceeds Russia by 6% and the percentage of global energy used by the United States exceeds Russia by 16.4%. Combined the U.S., China, and Russia consume 40.4% of the world's energy. Determine the percentage of global energy used by each country. Thanks for any help you can give me on this. I've been rereading and rereading problem and can't think of how to do it.1 solutions Answer 141396 by josmiceli(9674)   on 2009-03-27 10:37:59 (Show Source): You can put this solution on YOUR website!Let = the percentage of global energy used by China Let = the percentage of global energy used by Russia Let = the percentage of global energy used by United States given: (1) (2) (3) --------------------- Substitute (1) and (2) in (3) And, from (1) (1) That's all I have time for
 Travel_Word_Problems/188548: At 12 noon, Jack leaves at 53 kph to catch Jill who had a one hour head start. If Jack was still 26 km behind @ 8 pm, how fast was Jill going?1 solutions Answer 141377 by josmiceli(9674)   on 2009-03-27 00:12:33 (Show Source): You can put this solution on YOUR website!Let = Jill's speed For Jack: For Jill: given: hr km/hr hr km ---------------------- Rewriting equations: (1) (1) (1) (2) (2) (2) (2) km/hr answer
 Travel_Word_Problems/188499: Jim walks 5mph on a steady day. On a windy day Jim walks 10 miles with the wind, and 7 miles against the wind in the same amount of time. What is the rate of the wind? 1 solutions Answer 141323 by josmiceli(9674)   on 2009-03-26 19:08:51 (Show Source): You can put this solution on YOUR website!Let = the rate of the wind Let = Jim's rate of walking without wind given: mi/hr -------------------- (1) and (2) Add (1) and (2) (3) (3) and from (1) (1) (1) (1) (1) mi/hr check: (2) (2) (2) (2) OK
 Radicals/188408: I have tried and tried these problems. I am in ninth grade and here is the question: when a skydiver jumped from an airplane, the time it takes to free fall a given distance can be estimated by the formula t= the square root of 2s/9.8, where t is in seconds and s is in meters. If Julie jumps from an airplane, how long will it take her to free fall 750 meters?1 solutions Answer 141257 by josmiceli(9674)   on 2009-03-26 13:16:10 (Show Source): You can put this solution on YOUR website!Is this the formula: ? If so, t is in seconds and s is in meters. How long will it take her to free fall 750 meters? sec It will take her 12.37 sec to fall 750 m ------------------ check answer: square both sides Multiply both sides by Divide both sides by m OK
 Money_Word_Problems/188416: Someone invests some money at 7% and 39000 more than 3 times the amount at 7%. The total interest earned is 39050. How much was invested at each amount? Thanks for any help.1 solutions Answer 141247 by josmiceli(9674)   on 2009-03-26 12:12:26 (Show Source): You can put this solution on YOUR website!Let = the first amount invested @ 7% given: The amounts invested were: \$129,714 and \$428,143
 test/188391: At what time between 2 and 3 o'clock are the hands of the clock opposite each other? Thank you for your help..=)1 solutions Answer 141244 by josmiceli(9674)   on 2009-03-26 12:01:57 (Show Source): You can put this solution on YOUR website!The minute hand and the hour hand are each going in a circle at a certain speed in degrees/hr Between 2 and 3 o'clock, the hour hand covers 5 minutes of the 60 minutes on the clock face , so if the whole face is 360 degrees degrees When the hour hand moves 30 degrees, the minute and goes all the way around, or 360 degrees. That's 12 times faster than the hour hand ------------------- To solve the problem, I ask the question: If the hour hand moves a certain number of degrees be tween 2 and 3, what time is it when the minute hand is at the hour hand's position + 180 degrees? That would put them directly opposite eachother. ------------------- Let = the elapsed time in hours after 2 o'clock when the hands are opposite eachother = the rate of travel of the minute hand in degrees/ hr = the rate of travel of the hour hand in degrees/hr -------------------- Reading from 12 and going clockwise, the hour hand is at the 2 which is of the 360 degrees degrees So, when the hands are opposite the hour hand is at I want the minute hand to be this position + 180 degrees. I also know that { is the minute's hand rate of travel) so, I can write hrs min min and sec The hands are opposite eachother at 43 min and 38 sec past 2 o'clock --------------------- check answer: In degrees the hour hand has moved degrees In degrees, the minute hand has moved degrees degrees If I subtract the 60 degree headstart the hour hand had,
 Quadratic_Equations/188403: find the solution of x^2-21=4x. if the solution is a fraction, enter it in simplest form x= or x=1 solutions Answer 141240 by josmiceli(9674)   on 2009-03-26 10:29:05 (Show Source): You can put this solution on YOUR website! Subtract from both sides Add to both sides Use complete the square method Take the square root of both sides and check the answers: and OK
 Graphs/187579: This question is from textbook Elementary and Intermediate Algebra Solve each problem. See Example 8. Demand equation. Helen’s Health Foods usually sells 400 cans of ProPac Muscle Punch per week when the price is \$5 per can. After experimenting with prices for some time, Helen has determined that the weekly demand can be found by using the equation d = 600 – 40p, where d is the number of cans and p is the price per can. (a) Will Helen sell more or less Muscle Punch if she raises her price from \$5? (b) What happens to her sales every time she raises her price by \$1? (c) Graph the equation. (d) What is the maximum price that she can charge and still sell at least one can?1 solutions Answer 140604 by josmiceli(9674)   on 2009-03-20 17:23:59 (Show Source): You can put this solution on YOUR website! The more increases, the smaller becomes (a) She will sell less if she raises the price (b) Every time she raises the price \$1, the 2nd term on the right increases by , so decreses by , so the nuber of cans she sells drops by is the vertical axis is the horizontal axis
 Numbers_Word_Problems/187580: Bob and Paul are in a bar. Paul asks Bob his weight, which Bob refuses to answer. Paul tells bob that his weight is 196 lbs and hassels Bob to tell his own. After much prodding, Bob says,"I weight 100 pounds plus half of my weight." Paul then states Bob's weight. So what is Bob's weight and how do I solve this type of problem? Thanks so much!!!1 solutions Answer 140602 by josmiceli(9674)   on 2009-03-20 17:09:24 (Show Source): You can put this solution on YOUR website!Let = Bob's weight given: This is a solvable equation Multiply both sides by Bob weighs 200 pounds
 Polynomials-and-rational-expressions/187495: I need to solve this equation: 1 - 3/x = 4/x^21 solutions Answer 140541 by josmiceli(9674)   on 2009-03-19 23:12:05 (Show Source): You can put this solution on YOUR website! Multiply both sides by Use complete the square method check answers: OK OK
 Exponential-and-logarithmic-functions/187429: This question is from textbook Im not very good at math. I struggle in this subject. I cant seem to remember steps in problems and when it comes to test my mind goes blank. Will you help me solve this problem? Copy and Complete each equation. 2 to the Power of 4 Over 2 to the Power of 3 = 2 to what Power?1 solutions Answer 140511 by josmiceli(9674)   on 2009-03-19 20:19:11 (Show Source): You can put this solution on YOUR website!With powers or what is the same thing, exponents, this is the picture to have in your mind: 2^5 = 2*2*2*2*2 2^4 = 2*2*2*2 2^3 = 2*2*2 2^2 = 2*2 2^1 = 2 2^0 = 1 (any number to the power is 2^-1 = 1/2 2^-2 = 1/(2*2) 2^-3 = 1/(2*2*2) 2^-4 = 1/(2*2*2*2) 2^-5 = 1/(2*2*2*2*2) --------------------- As with any fraction, if there is factor in the numerator and the same factor in the denominator, they can be cancelled, so (I cancelled a 2 in the numerator with a 2 in the denominator I did the same thing again I did the same thing again If I follow this back to the beginning, I have: answer
 Travel_Word_Problems/187405: Solve the Problem: A boat can go 33 mph in still water. It takes as long to go 300 miles upstream as it does to go downstream 360 miles. How fast is the current?1 solutions Answer 140488 by josmiceli(9674)   on 2009-03-19 17:44:07 (Show Source): You can put this solution on YOUR website!Let = the speed of the current Let = the speed of the boat in still water For upstream: For downstream: given: mi/hr mi mi (I'll call them both ) Now I can rewrite the equations (1) (2) This is 2 equations and 2 unknowns, so it's solvable (1) (1) (2) (2) I'll add (1) and (2) (1) (2) (3) hr Plug this back into (1) or (2) (2) (2) (2) mi/hr The speed of the current is 3 mi/hr check answer: (1) (1) (1) (2) (2) (2) OK
 Systems-of-equations/187419: 2x + 2y=8 and 4x-6y=36 solution (6,2) how did my text book come up with thesesolutions1 solutions Answer 140484 by josmiceli(9674)   on 2009-03-19 17:22:19 (Show Source): You can put this solution on YOUR website!(1) Divide both sides by (1) (1) (2) Divide both sides by (2) Substitute (1) in (2) (2) (2) (2) (2) Substitute this back into (1) (1) (1) (1) (1) The answer is (6,-2) check answer: (1) (1) (1) (2) (2) (2) (2) OK
 Expressions-with-variables/187393: This question is from textbook Algebra 1 Two cars leave town at the same time going in the same direction on the same road. One travels 30 mi/h and the other travels 46 mi/h. In how many hours will they be 72 miles apart?1 solutions Answer 140463 by josmiceli(9674)   on 2009-03-19 12:29:17 (Show Source): You can put this solution on YOUR website!For the 30 mi/hr car: (1) For the 46 mi/hr car: (2) given: ------------------ The faster car goes 72 mi further than the slower car I can rewrite (1) and (2) (1) (2) (2) Note that since they travel different distances but in the same amount of time Since both left sides are , I can set the right sides equal to eachother hr and hr also In 4.5 hrs they will be 72 mi apart Now check the answer: (1) (1) (1) mi and (2) (2) (2) OK
 Equations/187357: I need help with this equation. 5(2x + -7) = 33 + 3(6x + 4)1 solutions Answer 140460 by josmiceli(9674)   on 2009-03-19 11:23:23 (Show Source): You can put this solution on YOUR website! I'm not sure what your main difficulty is, but I'll go through it in detail First you need the distributive law which is is the same as Note that +(-5) = -5 (or any number, I just picked 5) So far, I have: I'll use the same law again on the right side Now subtract from both sides Simplify the right side Subtract from both sides Divide both sides by or, write it like Now check the answer: Add the number inside the ( ) on right side OK
 Quadratic_Equations/187377: I am not even sure how to type this:( 1) Evaluate: lim 3x^4+4x^2-2/3x^3-5x^4 when x approaches infinity(the symbol looks like a sideways eight). I hope this makes sense because I need help. 2) If y=2x^2-3x,find the average rate of change of y with respect to x from P(2,2) to Q(2.1,2.52).1 solutions Answer 140457 by josmiceli(9674)   on 2009-03-19 11:03:18 (Show Source): You can put this solution on YOUR website!This is advanced algebra and you're not used to seeing the infinity sign. I think you need lots of basic reading, maybe tutoring. Infinity should be like an old friend if you're going to tackle this stuff - /: |
 Systems-of-equations/187389: 2x-3y =18 and 5x +3y =3 solutions ( 3 ,-4) dont understand how my book got the solution 3 need a full break down1 solutions Answer 140456 by josmiceli(9674)   on 2009-03-19 10:56:25 (Show Source): You can put this solution on YOUR website! Just add these together Then substitute this back into either equation Add to both sides Subtract from both sides The answer is (3,-4)
 Proportions/187331: This question is from textbook Introductory and Intermediate Algebra I have 2 questions I can't seem to figure out, and I can't find examples to apply in the text. The first is a word problem... "Barry paddles his boat to his campsite with a 4 km/hr current: It takes him 3 hrs. On his way back to the same point agisnt the current, the trip takes him 7 hours. What is the speed of Barry's boat in still water?:,(and why should I care?) I have tried finding a formula containing a current, and I can't find one...1 solutions Answer 140430 by josmiceli(9674)   on 2009-03-19 00:49:50 (Show Source): You can put this solution on YOUR website!With current: Against current: Math excercises are just pushups for the brain. They can be about boats in water or alligators in mud What good are pushups? Maybe no good at all. You decide.
 Equations/187332: The sum of three consecutive numbers is 1965. What are the three numbers? I never know how to do the consecutive number problems. Need assistance. Thank you. :)1 solutions Answer 140429 by josmiceli(9674)   on 2009-03-19 00:40:46 (Show Source): You can put this solution on YOUR website!Let the smallest number be The next larger number will be The next larger number will be given: The numbers are 654, 655, and 656 check: OK
 Percentage-and-ratio-word-problems/187282: This question is from textbook Felipe jobs for 10 miles and then walks another 10 miles. He jobs 2 1/2 miles per hour faster than he walks, and the entire distance of 20 miles takes 6 hours. find the rate at which he walks and the rate at which he jogs.1 solutions Answer 140428 by josmiceli(9674)   on 2009-03-19 00:32:30 (Show Source): You can put this solution on YOUR website!Jogging: Walking: given: mi mi mi/hr hr hr -------------------------- Jogging: (1) Walking: Substitute this in (1) (1) multiply both sides by (1) (1) Use quadratic formula to solve for Then find , then find
 Exponents/187307: I was given this problem and told to solve without negative exponents, I am really not sure how to tackle this problem. [x*y^5/x^-4*y^2]^-21 solutions Answer 140424 by josmiceli(9674)   on 2009-03-18 23:31:00 (Show Source): You can put this solution on YOUR website! This is because This is becaue This is because This is because This is because Now divide top & bottom by answer ----------------------------------------------------- There is a quick & easy way to test answer I'll say and (I could use any numbers) and OK
 Linear_Equations_And_Systems_Word_Problems/187158: Pocket change: Harry has \$2.25 in nickels, dimes, and quarters. If he had twice as many nickels, half as many dimes and the same number of quarters, he would have \$2.50. If he has 27 coins altogether, then how many of each does he have? 2) Three digit number: The sum of the digits of a three-digit number is 11. If the digits are reversed, the new number is 46 more than 5 times the old number. If the hundreds digit plus twice the tens digit is equal to the units digit, then what is the number?1 solutions Answer 140288 by josmiceli(9674)   on 2009-03-17 22:21:44 (Show Source): You can put this solution on YOUR website!Let = number of nickels Let = number of dimes Let = number of quarters given: (1) (2) (3) ----------------------- There are 3 unknowns and 3 equations, so it's solvable (2) (2) Subtract (1) from (2) (2) (1) (4) (4) (4) And, from (3), (3) (3) From(1) (1) (1) (1) (1) (1) (1) (1) (1) (1) and (4) (4) and (3) (3) (3) (3) Harry has 15 nickels, 10 dimes, and 2 quarters check: (1) (1) (1) (1) OK
 Proportions/187058: The sum of a number and its reciprocal is 10/3. What is the number?1 solutions Answer 140218 by josmiceli(9674)   on 2009-03-17 15:16:34 (Show Source): You can put this solution on YOUR website! Multiply both sides by Use quadratic formula The sum of 3 and it's reciprocal is 10/3 also, the sum of 1/3 and it's reciprocal is 10/3
 Numbers_Word_Problems/187021: one integer is 3 less than 3 times another integer. if the sum of the two integers is 29, what is the smaller integer?1 solutions Answer 140190 by josmiceli(9674)   on 2009-03-17 09:22:32 (Show Source): You can put this solution on YOUR website!Let = the smaller Let = the larger given: (1) (2) (2) ------------------------- Substitute (2) in (1) (1) Add to both sides (1) Add to both sides (1) Divide both sides by (1) The smaller number is check: (1) (1) (2) (2) OK
 Equations/186971: I am having trouble trying to figure out how the correct answer came to -4, when the answer I got was x=1/5(fraction). The problem was: 5/3x + 1/3x= 2x + 28/3 + 7/3x. This problem came from a Mathlab I have to use for college. I would appreciate any assistance. Thank you very much. 1 solutions Answer 140164 by josmiceli(9674)   on 2009-03-16 23:47:08 (Show Source): You can put this solution on YOUR website! Multiply both sides by
 Proportions/186922: Going to Austin, Bill caught a ride for two-third of the total distance with a friend. He then took a bus for one-fourth of the total distance. He walked the remaining 10 miles to arrive at his destination. What was total distance of his destination?1 solutions Answer 140108 by josmiceli(9674)   on 2009-03-16 17:37:55 (Show Source): You can put this solution on YOUR website!Let the total distance = given: --------------- Multiply both sides by The total distance is 120 miles check answer: OK