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Recent problems solved by 'josmiceli'

josmiceli answered: 9669 problems
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Money_Word_Problems/424237: A man is paid $18 each day he works and forfeits $3 for each day he is idle. If at the end of 40 days he nets $531, how many days was he idle? 1 solutions Answer 295810 by josmiceli(9671)   on 2011-03-19 17:00:11 (Show Source): You can put this solution on YOUR website! Let = number of days he was idle = number of days he worked You can finish

Travel_Word_Problems/424235: Two cars A and B average speeds of 30 and 40 mi/hr respectively are 280 miles apart. They start moving toward each other at 3:00 p.m. At what time will they meet? 1 solutions Answer 295809 by josmiceli(9671)   on 2011-03-19 16:55:55 (Show Source): You can put this solution on YOUR website! You can think of one car as standing still and the other approaching it at the sum of their speeds hrs They will meet at 3:00 PM + 4 hrs = 7 PM

Polynomials-and-rational-expressions/424188: Can you help me and show the steps for the following: A=Qx+P, for x I tried and I have x= A+P/Q But I don't think that's correct. 1 solutions Answer 295793 by josmiceli(9671)   on 2011-03-19 14:27:34 (Show Source): You can put this solution on YOUR website! Subtract from both sides Divide both sides by

Quadratic_Equations/424152: In 1994, the life expectancy of males in a certain country was 65.9 years. In 1999, it was 68.5 years. Let E represent the life expectancy in year t and let t represent the number of years since 1994. The linear function that fits the data is E(t)= ___t + ____ Round to the nearest 10th. Use the function to predict the life expectancy of males in 2003. E(9)= Round to the nearest 10th. 1 solutions Answer 295792 by josmiceli(9671)   on 2011-03-19 14:20:46 (Show Source): You can put this solution on YOUR website! You are given 2 points on a straight line The points are: (0,65.9) and (5,68.5) ---------------- The formula to use is: Multiply both sides by You'll have to finish- can't find calculator ------- In 2003, , then find

test/424174: 2(3x+1)=4(x-1) can you please do this step by step? 1 solutions Answer 295790 by josmiceli(9671)   on 2011-03-19 14:08:46 (Show Source): You can put this solution on YOUR website! Expand the left side by multiplying each term in the parentheses by Do the same thing to the right side Subtract from both sides Subtract from both sides Divide both sides by answer Now I can check the answer: OK

Permutations/424171: How many possible 5-digit zip codes are there if the numbers cannot be repeated and the zip code is divisible by two? 1 solutions Answer 295789 by josmiceli(9671)   on 2011-03-19 14:00:19 (Show Source): You can put this solution on YOUR website! The zip code can end in 0,2,4, or 8 If it ends in 0, Then 0 is not allowed in the 1st 4 digits, so are the possible codes --------- If it ends in 2, then are possible codes --------- If it ends in 4, then possible --------- If it ends in 8, then possible --------- Summing these: (I can't find calculator)

test/424034: Marco had 150 coins,all nickels and dimes. He has 12 more dimes than nickels. How many nickels and how many dimes does he have ? 1 solutions Answer 295715 by josmiceli(9671)   on 2011-03-19 02:14:16 (Show Source): You can put this solution on YOUR website! Let = number of dimes Let = number of nickels given: (1) (2) ------------------------ Substitute (2) into (1) (1) (1) (1) and, since (2) He has 81 dimes and 69 nickels

Pythagorean-theorem/424030: The length of a diagonal of a square is given. Find the length of a side of the square. Find the following answers: 1. Square root of 2 2. 2 3. 20K 1 solutions Answer 295705 by josmiceli(9671)   on 2011-03-18 23:06:43 (Show Source): You can put this solution on YOUR website! If is the side of a square, and is the diagonal, then --------------- (1) and and -------- (2) -------------- (3) Multiply top and bottom by

test/424031: Frank is two thirds as a Adam. In seven years, frank will be three fourths as old as adam.how old are they now ? 1 solutions Answer 295699 by josmiceli(9671)   on 2011-03-18 22:52:13 (Show Source): You can put this solution on YOUR website! Let = Adam's age now Let = Frank's age now given: (1) (2) -------------------- (2) (2) (2) Substitute (1) in (2) (2) (2) (2) and (1) (1) Adam is 21 now and Frank is 14 now check: (2) (2) (2) (2) OK

Money_Word_Problems/423416: I am 30 years old and want to retire at age 60. I want to be able to collect $60,000 a year for 20 years. At 5% interest, how much money do I need to invest today to be able to collect $60,000 for 20 years by the time I reach 60? Thank you in advance for any help and/or consideration. This one is really stumping me because I do not even know what formula to use. 1 solutions Answer 295338 by josmiceli(9671)   on 2011-03-17 12:46:53 (Show Source): You can put this solution on YOUR website! I'm not really sure how to read this, but I think what they mean is: Out of the 30 years I have before retirement, I want to earn $60,000/yr for 20 of those years. So, for the first 10 years I would reinvest all the money and on the 11th year, I would draw out exactly $20,000, and keep drawing the same amount out for 20 years. To find the minimum I must start with, I've got to assume that ,on the 30th year, I will exhaust all my investment. So, the 1st part of the equation is dollars initial investment + reinvested principle and interest over 10 years. Let = amount after 10 years (simple interest formula) So, after 10 years I must have I need to invest $800,000 today. I hope either or both the explanation and solution are helpful.

Linear_Algebra/423406: Maple syrup worth $6.00 a gallon and corn syrup worth .80 cents a gallon are used to make a mixture worth $2.36 a gallon. How many gallons of each kind of syrup are need to make 50 gallons of the mixture? 1 solutions Answer 295333 by josmiceli(9671)   on 2011-03-17 12:20:22 (Show Source): You can put this solution on YOUR website! Let = gallons of maple syrup needed Let = gallons of corn syrup needed given: (1) (2) --------------- Multiply both sides of (2) by and subtract from (1) (1) (2) and, since, 15 gallons of maple syrup are needed 35 gallons of corn syrup are needed

Angles/423407: The measure of an angle is 44 more than teh measure of the its supplement. Find the measures of the angles. I got this for a formula: x = 44(90 - x) So x = 88 The book says the answers are 112 and 68. How did they do that? Thanks. 1 solutions Answer 295328 by josmiceli(9671)   on 2011-03-17 11:41:32 (Show Source): You can put this solution on YOUR website! Let = unknown angle given: is the supplement of since . I'm not sure why that is a solution also.

logarithm/423152: Hey hows it goin I ran into a little issue with log's I was wondering if you could help me solve this one. The base of the log's are a understood 10. log4x=log5+log(x-4) 1 solutions Answer 295239 by josmiceli(9671)   on 2011-03-16 21:11:30 (Show Source): You can put this solution on YOUR website! The logs are equal, so check answer: OK

Graphs/423145: When -4y + x = 2, is written in slope intercept form, is it y = 1/2 - x 1 solutions Answer 295219 by josmiceli(9671)   on 2011-03-16 20:20:00 (Show Source): You can put this solution on YOUR website! Subtract from both sides Divide both sides by

Travel_Word_Problems/423139: Ellen and Kate raced on their bicycles to the library after school. They both left school at 3:00pm and bicycled along the same path. Ellen rode at a speed of 12mph and Kate rode at a speed of 9mph. Ellen got to the library 15mins before Kate. What time did Ellen get to the library? 1 solutions Answer 295215 by josmiceli(9671)   on 2011-03-16 20:14:44 (Show Source): You can put this solution on YOUR website! Ellen's equation: Kate's equation: --------------- By substitution: Ellen got to the library in .75 hrs or 45 min check answer: and OK

Points-lines-and-rays/422648: A line contains the points (1,-3) and (1, -2). Another line graphed in the same coordinate plane contains the points (-2,0) and (-3,-3). Based on the slope of these lines, are they parallel, perpendicular or neither? 1 solutions Answer 294969 by josmiceli(9671)   on 2011-03-15 21:04:41 (Show Source): You can put this solution on YOUR website! The slope of a line is (change in y)/(change in x) given: (1,-3) and (1,-2) slope = slope = division by means the line is vertical (infinite slope) and (-2,0) and (-3,-3) slope = slope = They are neither

Points-lines-and-rays/422652: The slope of a line is -2/3. What is the slope of a line that is parallel to it? 1 solutions Answer 294968 by josmiceli(9671)   on 2011-03-15 20:57:00 (Show Source): You can put this solution on YOUR website!

Human-and-algebraic-language/422658: Alma spent $39 on a shirt and a jacket. The shirt cost $12. Find the orginal cost of a jacket if Alma bought is on sale for 25% off. 1 solutions Answer 294967 by josmiceli(9671)   on 2011-03-15 20:54:56 (Show Source): You can put this solution on YOUR website! Let = original cost of jacket is cost of jacket after 25% off The original cost of the jacket was $36

Travel_Word_Problems/422318: In the last race, Lydia is 50 feet in front of Elma after 10 seconds. How fast can Lydia run if Elma can run 20 feet per second? 1 solutions Answer 294792 by josmiceli(9671)   on 2011-03-15 08:05:15 (Show Source): You can put this solution on YOUR website! The difference in their speeds is ft/ sec Let = Lydia's speed ft/sec

Permutations/422328: If the are 3 vegetables 3 salads 2 deserts and 2 meats. How many combinations of meals can be made 1 solutions Answer 294790 by josmiceli(9671)   on 2011-03-15 07:59:32 (Show Source): You can put this solution on YOUR website!

Numbers_Word_Problems/421908: I am a two-digitnumber, I am double an odd number, My units digit is half of my tens digit. What am i 1 solutions Answer 294552 by josmiceli(9671)   on 2011-03-14 10:49:57 (Show Source): You can put this solution on YOUR website! Let the units digit = The tens digit = The value of the number is: The number must be even: If number is 42 If number is 84 84 is not double an odd number, so the answer must be 42

Graphs/421913: Write an inequality for each situation. There are more than 25 states in the country. A sign on a tunnel says, “Maximum height of vehicles is 15 feet.” Water boils at a temperature of at least 212 F. Your brother had at most 25 people at his party. 1 solutions Answer 294550 by josmiceli(9671)   on 2011-03-14 10:42:38 (Show Source): You can put this solution on YOUR website!

Age_Word_Problems/421513: A father is five times as old as his daughter. In six years he will be three times as old as she will be. How old is the daughter now. ( i know how to solve the problem, i am just stuck with assigning the formulas. In my math class its asked that we assign each person a variable ie: x and the other x+2) Any help would be great thanks. 1 solutions Answer 294387 by josmiceli(9671)   on 2011-03-13 11:58:02 (Show Source): You can put this solution on YOUR website! Let = Father's age now Let = Daughter's age now given: (1) (2) ------------------- There are 2 equations and 2 unknowns, so it's solvable By substitution: (2) (2) (2) (2) and (1) The Father is 30 and the daughter is 6

Inequalities/421545: average budge of $65 a month for entertainment. Spent first 5 weeks $88, $15,$125,$50,$60. How much can be spent for sixth month without exceeding the average budget? My answer is:88+15+125+50+60=338 390-338=52 can spen $52 in sixth month. Howver my answer is correct but I need this to be expressed aas an inequality? 1 solutions Answer 294384 by josmiceli(9671)   on 2011-03-13 11:36:43 (Show Source): You can put this solution on YOUR website!

Linear-equations/421548: Please help. find the slope of the line. y=3 1 solutions Answer 294382 by josmiceli(9671)   on 2011-03-13 11:28:57 (Show Source): You can put this solution on YOUR website! There is no in the equation. That means you never care what is. Every where you are on the line, you look at the y-axis and you see that . That is a horizontal line and the slope =

Expressions-with-variables/421525: moolah has 24 coins that are all dimes and quarters. the value of the coins is $3.75. how many dimes and how many quarters does moolah have? 1 solutions Answer 294381 by josmiceli(9671)   on 2011-03-13 11:24:22 (Show Source): You can put this solution on YOUR website! dollars dollars There can't be 12 quarters, since the 75 cents left over isn't evenly divided by 10 ----------------- Suppose there are 11 quarters dollar left dimes That makes 21 coins- not enough ---------------- Suppose ther are 9 quarters dollars dimes So, there are 9 quarters and 15 dimes

Travel_Word_Problems/421537: Hindered by a strong wind, a jet flew 15% slower than usual and made a 4000 mile trip in 30 minutes longer than usual. What is the usual speed of the jet? 1 solutions Answer 294378 by josmiceli(9671)   on 2011-03-13 11:10:07 (Show Source): You can put this solution on YOUR website! Let = it's usual speed in mi/hr Let = it's usual time in hrs given: (1) (2) -------------------- (2) (2) By substitution: (2) (2) (2) (2) (2) mi/hr check answer: (1) (1) (1) hrs and (2) (2) (2) (2) close enough

Miscellaneous_Word_Problems/421535: Jamal says that $50 per week is the same as 30 cents per hour. Is this reasonable? 1 solutions Answer 294372 by josmiceli(9671)   on 2011-03-13 10:51:46 (Show Source): You can put this solution on YOUR website! At .30/hr, in order to make $50/wk, that is: dollars/week x weeks/hours x cents/dollar = cents/hr or hrs Even working 7 days a week, that's hrs/day That leaves less than an hour to sleep

Probability-and-statistics/421532: a die is tossed determine the odds against rolling an odd number 1 solutions Answer 294365 by josmiceli(9671)   on 2011-03-13 10:34:45 (Show Source): You can put this solution on YOUR website! There are 3 odd numbers 1,3, and 5 There are 3 even numbers 2,4, and 6 That covers all 6 faces of the die There is an equal chance of the die coming up even or odd

Miscellaneous_Word_Problems/421343: li is rolling quarters. each coin is 1.75 mm thick what is the length of a $10 roll of quarters in centimetres 1 solutions Answer 294251 by josmiceli(9671)   on 2011-03-12 18:04:09 (Show Source): You can put this solution on YOUR website! cm/quarter x quarters/dollar x dollars/roll = cm/roll

Geometry_Word_Problems/421286: I just need a difficult geometry problem. 1 solutions Answer 294217 by josmiceli(9671)   on 2011-03-12 14:54:18 (Show Source): You can put this solution on YOUR website! If you make a big square out of 441 smaller squares that are 1" by 1", what does a side of the bigger square measure in feet and inches?