Tutor:

New! Get regular updates about newly solved problems via algebra.com's RSS system.

---

Recent problems solved by 'josmiceli'

josmiceli answered: 9646 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 4740..4769 , 4770..4799 , 4800..4829 , 4830..4859 , 4860..4889 , 4890..4919 , 4920..4949 , 4950..4979 , 4980..5009 , 5010..5039 , 5040..5069 , 5070..5099 , 5100..5129 , 5130..5159 , 5160..5189 , 5190..5219 , 5220..5249 , 5250..5279 , 5280..5309 , 5310..5339 , 5340..5369 , 5370..5399 , 5400..5429 , 5430..5459 , 5460..5489 , 5490..5519 , 5520..5549 , 5550..5579 , 5580..5609 , 5610..5639 , 5640..5669 , 5670..5699 , 5700..5729 , 5730..5759 , 5760..5789 , 5790..5819 , 5820..5849 , 5850..5879 , 5880..5909 , 5910..5939 , 5940..5969 , 5970..5999 , 6000..6029 , 6030..6059 , 6060..6089 , 6090..6119 , 6120..6149 , 6150..6179 , 6180..6209 , 6210..6239 , 6240..6269 , 6270..6299 , 6300..6329 , 6330..6359 , 6360..6389 , 6390..6419 , 6420..6449 , 6450..6479 , 6480..6509 , 6510..6539 , 6540..6569 , 6570..6599 , 6600..6629 , 6630..6659 , 6660..6689 , 6690..6719 , 6720..6749 , 6750..6779 , 6780..6809 , 6810..6839 , 6840..6869 , 6870..6899 , 6900..6929 , 6930..6959 , 6960..6989 , 6990..7019 , 7020..7049 , 7050..7079 , 7080..7109 , 7110..7139 , 7140..7169 , 7170..7199 , 7200..7229 , 7230..7259 , 7260..7289 , 7290..7319 , 7320..7349 , 7350..7379 , 7380..7409 , 7410..7439 , 7440..7469 , 7470..7499 , 7500..7529 , 7530..7559 , 7560..7589 , 7590..7619 , 7620..7649 , 7650..7679 , 7680..7709 , 7710..7739 , 7740..7769 , 7770..7799 , 7800..7829 , 7830..7859 , 7860..7889 , 7890..7919 , 7920..7949 , 7950..7979 , 7980..8009 , 8010..8039 , 8040..8069 , 8070..8099 , 8100..8129 , 8130..8159 , 8160..8189 , 8190..8219 , 8220..8249 , 8250..8279 , 8280..8309 , 8310..8339 , 8340..8369 , 8370..8399 , 8400..8429 , 8430..8459 , 8460..8489 , 8490..8519 , 8520..8549 , 8550..8579 , 8580..8609 , 8610..8639 , 8640..8669 , 8670..8699 , 8700..8729 , 8730..8759 , 8760..8789 , 8790..8819 , 8820..8849 , 8850..8879 , 8880..8909 , 8910..8939 , 8940..8969 , 8970..8999 , 9000..9029 , 9030..9059 , 9060..9089 , 9090..9119 , 9120..9149 , 9150..9179 , 9180..9209 , 9210..9239 , 9240..9269 , 9270..9299 , 9300..9329 , 9330..9359 , 9360..9389 , 9390..9419 , 9420..9449 , 9450..9479 , 9480..9509 , 9510..9539 , 9540..9569 , 9570..9599 , 9600..9629 , 9630..9659, >>Next

Inequalities/532706: In which inequality is m = 10 a solution? 3m(m - 3) > 360 3m(m - 3) > 420 3m(m + 3) < 420 3m(m + 3) < 360 1 solutions Answer 350907 by josmiceli(9649)   on 2011-11-16 14:59:35 (Show Source): You can put this solution on YOUR website! Number 3, is correct. The rest are false. proof:

Linear-systems/532313: A basketball player makes a total of 517 shots totaling 1037 points. How many of those shots are 3 point shots and how many are 2 point shots? From the examples in the book, I should have 2 equations: x + y = 517 2x + 3y = 1037 Is this right? How do I begin to solve? 1 solutions Answer 350800 by josmiceli(9649)   on 2011-11-15 20:34:40 (Show Source): You can put this solution on YOUR website! That's right. = number of 2 point shots = number of 3 point shots (1) (2) Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and, since (1) (1) (1) The shots are 514 two point shots and 3 three point shots check: (2) (2) (2) (2) OK

Systems-of-equations/532301: Automotive maintenance. The radiator in Natalie’s car contains 6.3 L of antifreeze and water. This mixture is 30% antifreeze. How much of this mixture should she drain and replace with pure antifreeze so that there will be a mixture of 50% antifreeze? 1 solutions Answer 350793 by josmiceli(9649)   on 2011-11-15 20:24:16 (Show Source): You can put this solution on YOUR website! Let = liters of mixture she should drain and replace with pure antifreeze ----------- given: = liters of pure antifreeze that she drains off = pure antifreeze left after she drains off liters of mixture ----------- She must drain off 1.8 liters and replace with pure antifreeze check: OK

Numbers_Word_Problems/532287: Mr. Wilhems got $2 discount on the purchase of 5 bags of peat moss. If he paid $7.40, what was the price for one bag of peat moss before discount?? Please help me!? Thanks(: 1 solutions Answer 350778 by josmiceli(9649)   on 2011-11-15 20:08:01 (Show Source): You can put this solution on YOUR website! Let = the original price of 5 bags of peat moss given: The cost of 1 bag before discount was $1.88

Linear-equations/532263: Felisa jogged 3 miles in 25 minutes and then jogged 3 more miles in 30 minutes. What was her average speed in miles per minute? 1 solutions Answer 350754 by josmiceli(9649)   on 2011-11-15 19:36:38 (Show Source): You can put this solution on YOUR website! Ave speed = ( total miles ) / ( total time ) Ave speed = Ave speed = mi/min

Mixture_Word_Problems/532246: The manager of a coffee shop has one type of coffee that sells for $8 per pound and another that sells for $15 per pound. The manager wishes to mix 60 pounds of the $15 coffee to get a mixture that will sell for $14 per pound. How many pounds of the $8 coffee should be used? 1 solutions Answer 350747 by josmiceli(9649)   on 2011-11-15 19:32:04 (Show Source): You can put this solution on YOUR website! Let = pounds of $8 coffee needed given: is cost of $15 coffee = cost of $8 coffee = total pounds of coffee in mixture ----------- 10 pounds of $8 coffee are needed check: OK

Radicals/531817: Question is "Write an equivalent expression using radical notation" (Simplify, type an integer if applies) 625^ 3/4 625 to the 3-4th exponent Thank you very much! 1 solutions Answer 350619 by josmiceli(9649)   on 2011-11-15 05:02:07 (Show Source): You can put this solution on YOUR website! Note that , so , so ------------ In case this isn't what they want,

Permutations/531828: no. of ways a lawn tennis mixed doubles can be made up from 7 married couples if no husband and wife play in same set 1 solutions Answer 350618 by josmiceli(9649)   on 2011-11-15 04:53:04 (Show Source): You can put this solution on YOUR website! Here's my try. You should get another opinion, too ----------- One of the male players has 7 women he can choose as a partner, minus his wife = 6 The number of possible pairs is 7*6 ----------- The other male player is one of the 6 remaining, and he can choose one of 6 remaining women, minus his wife = 5 The number of possible pairs is 6*5. ----------- The number of possible matches is 7*6*6*5 = 1260

Percentage-and-ratio-word-problems/531759: If there are 20 foxes in the forest this year, and 21 in one year, what percent is the percent growth of the foxes? 1 solutions Answer 350598 by josmiceli(9649)   on 2011-11-14 22:28:59 (Show Source): You can put this solution on YOUR website! The increase is 1, and there were 20 to start with The percent growth is 5%

Proportions/531727: Barbara's goal is to practice piano 20 minutes for every 5 minutes of lessons she takes. If she takes a 20 minute piano lesson this week, how many minutes should she practice this week? 1 solutions Answer 350586 by josmiceli(9649)   on 2011-11-14 21:43:33 (Show Source): You can put this solution on YOUR website! ( min of practice ) / ( min of lesson ) the goal equals ( min of practice ) / ( min of lesson ) this week Multiply both sides by She should practice 80 min this week

Rectangles/531717: The length of a rectangular piece of carpet is 5 meters less than twice its width. Find dimensions of the carpet if its area is 33 square meters. 1 solutions Answer 350583 by josmiceli(9649)   on 2011-11-14 21:38:18 (Show Source): You can put this solution on YOUR website! (1) (2) Substitute (2) into (1) (1) (1) (1) Use quadratic formula ( ignore the negative root ) (2) (2) (2) The dimensions are 5.5 m x 6 m check: (1) (1) (1) (1) (1) OK

Polynomials-and-rational-expressions/531151: How do you factor 4x^2 + 9x + 2 NOTE: the ^2 is a exponent, not sure how else to write them here. 1 solutions Answer 350359 by josmiceli(9649)   on 2011-11-13 23:39:26 (Show Source): You can put this solution on YOUR website! Use quadratic formula and The factors are:

Equations/531141: Translate the following statement to mathematical symbols: Francisco weighs twenty pounds more than Skyler does. If Skyler weighs one hundred forty pounds, how much does Francisco weigh? Francisco is pounds. 1 solutions Answer 350358 by josmiceli(9649)   on 2011-11-13 23:29:27 (Show Source): You can put this solution on YOUR website! F = S + 20 S = 140 F = 140 + 20 F = 160

absolute-value/531142: Parking garage fees the Greenville City Garage charges $5 for the first hour and then $2.75 for each additional hour. How long has a car been parked at this garage if the parking chare is $29.75? 1 solutions Answer 350357 by josmiceli(9649)   on 2011-11-13 23:25:23 (Show Source): You can put this solution on YOUR website! Let = length of time in hours that car has been parked given: ( in cents ) They've been parked 10 hrs

Functions/531147: If gloria received a 6% raise and is now making 22,260 a year, what was her salary before the raise? 1 solutions Answer 350356 by josmiceli(9649)   on 2011-11-13 23:14:01 (Show Source): You can put this solution on YOUR website! Let = her salary before the raise given: her salary was $21,000

Quadratic_Equations/530867: If the vertex of a parabola is (-1,-7) how can I find the equation of the parabola? Is this possible? 1 solutions Answer 350229 by josmiceli(9649)   on 2011-11-13 16:11:45 (Show Source): You can put this solution on YOUR website! Not quite, the x-coordinate of the vertex is when the general formula for the equation is So I have: the y coordinate is , so I can still only get a formula for the roots in terms of and , so there can be many equations that have (-1,-7) for a vertex

Numbers_Word_Problems/530862: find two consecutive odd integers such that the sum of four times the larger, and 7 more than the smaller is equal to 50 1 solutions Answer 350223 by josmiceli(9649)   on 2011-11-13 16:02:20 (Show Source): You can put this solution on YOUR website! Call the numbers and given: The numbers are 7 and 9 check: OK

Linear-equations/530828: a line passing through (0,6) and (2,1) can i get a step by step in words not numbers please. 1 solutions Answer 350214 by josmiceli(9649)   on 2011-11-13 15:39:32 (Show Source): You can put this solution on YOUR website! What is the equation of the line passing through (0,6) and (2,1) ? the point-slope formula says: ( change in y ) / ( change in x ) = ( change in y ) / ( change in x ) Suppose I call the 2 given points , and = (x1 , y1) = (x2 , y2) Change in y = y2 - y1 Change in x = x2 - x1 ----------------- The formula uses the concept that any point (x,y) is also OK to use, so I can say ( change in y ) / ( change in x ) = ( y - y1 ) / ( x - x1 ) ----------------- Putting these ideas together, ( y - y1 ) / ( x - x1 ) = ( y2 - y1 ) / ( x2 - x1 ) Now you just have to substitute the actual numbers: (x1,y1) = (0,6) (x2,y2) = (2,1) check answer: (2,1) OK

Proportions/530523: a giraffe can run 32mph. what is this speed in feet per second? round your answer to the nearest tenth. 1 solutions Answer 350144 by josmiceli(9649)   on 2011-11-12 21:25:14 (Show Source): You can put this solution on YOUR website! (32 miles/hr) x ( 1 hr/3600 sec ) x ( 5280 ft/1 mile ) = ft/sec ft/sec

Quadratic_Equations/530526: For the quadratic equation , explain how to find a value of "b" where the discriminant yields a quadratic equation with the following types of solutions. a. two imaginary solutions b. one real solution c. two rational solutions d. two irrational solutions 1 solutions Answer 350125 by josmiceli(9649)   on 2011-11-12 20:54:21 (Show Source): You can put this solution on YOUR website! The discriminant is where In the quadratic formula, it appears under the square root sign (1) 2 imaginary solutions: (2) 1 real solution: (3) 2 rational solutions: and is a perfect square (4) and is not a perfect square

logarithm/530537: For what value of x is it true that (log x)^3 = 3 log x? 1 solutions Answer 350113 by josmiceli(9649)   on 2011-11-12 20:39:59 (Show Source): You can put this solution on YOUR website!

Functions/530490: what is a rule for the function repersented by (o,-2),(1,-1),(2,2),(3,7)? Explain your reasoning. 1 solutions Answer 350081 by josmiceli(9649)   on 2011-11-12 18:34:07 (Show Source): You can put this solution on YOUR website! It's not a straight line, so I'ii assume it's a 2nd degree equation in the form (0,-2) (1,-1) (2,2) by substitution: The equation so far is answer Does it go through (3,7) ? yes

Travel_Word_Problems/530487: Tyrone can paint a kitchen in 7 hours, and Shauna can paint the same kitchen in 6 hours. How long would it take for both working together to paint the kitchen? (you can leave your answer as an improper fraction or a mixed number). 1 solutions Answer 350077 by josmiceli(9649)   on 2011-11-12 18:13:38 (Show Source): You can put this solution on YOUR website! Add their rates of painting Tyrone's rate: ( 1 kitchen )/(7 hrs) Shauna's rate: ( 1 kitchen )/(6 hrs) Rare together: ( 1 kitchen )/(t hrs) Multiply both sides by hrs

Mixture_Word_Problems/530254: A chemist wants to make a 45% solution of Sulfuric Acid more concentrated by addingpure sulfuric acid. How much pure sulfuric acid must be added to get an 80% solution of sulfuric acid? 1 solutions Answer 349975 by josmiceli(9649)   on 2011-11-11 23:39:07 (Show Source): You can put this solution on YOUR website! Let = unit of sulfuric acid solution originally Let units of pure sulfuric acid to be added given: = units of sulfuric acid originally --------- The ratio of pure acid to be added to solution already present must be 1.75/1 or 7/4

Money_Word_Problems/530163: SUPPOSE THAT YOU JUST RECEIVED AN EMAIL ALERT FROM A WEBSITE INDICATING THAT 4-GIGABYTE FLASH DRIVES HAVE JUST BEEN DISCOUNTED BY 60%. IF THE SALE PRICE OF THE FLASH DRIVE IS NOW $11.80, WHAT WAS THE ORIGINAL PRICE? 1 solutions Answer 349916 by josmiceli(9649)   on 2011-11-11 18:24:18 (Show Source): You can put this solution on YOUR website! Let = the original price given: The original price was $29.50

Permutations/530164: For a party, a person sets up 6 card tables and pushes them together in a row. How many people can be seated at the arrangement? (Note: Only one person can sit on each side of a card table.) Please show your work, thank you! Allen~ Chicago, IL 1 solutions Answer 349915 by josmiceli(9649)   on 2011-11-11 18:19:06 (Show Source): You can put this solution on YOUR website! 3 people can sit at the card tables at both ends That makes 6 people There are 4 tables left, and only 2 people can sit at these tables That makes 8 more people 14 people can be seated

Age_Word_Problems/529992: seven years ago B was twice as young as A,when A was3 years younger than B is now. How old is A now? 1 solutions Answer 349843 by josmiceli(9649)   on 2011-11-11 09:25:09 (Show Source): You can put this solution on YOUR website! Let = A's age now Let = B's age now = A's age 7 years ago = B's age 7 years ago --------------------------- given: 7 years ago, A was 3 years younger than B is now (1) 7 years ago, B was twice as young as A ( half A's age ) (2) --------------------- (2) (2) (2) and (1) (1) (1) (1) Substitute (1) into (2) (2) (2) (2) (2) A is 15 check: (1) (1) (1) (2) (2) (2) (2) OK

Expressions-with-variables/529990: (7+2x) (7-2x)= 1 solutions Answer 349842 by josmiceli(9649)   on 2011-11-11 09:08:07 (Show Source): You can put this solution on YOUR website! answer

Travel_Word_Problems/529981: are (2,9) and (-3,-6) both on the line y = 4x+ 6 ? if not find an equation for the line that pass through both points 1 solutions Answer 349841 by josmiceli(9649)   on 2011-11-11 09:04:14 (Show Source): You can put this solution on YOUR website! Only (-3,-6) is on the line because (2,9) is not on the line because not true ------------------ Use point-slope formula: answer check: (-3,-6) OK (2,9) OK

real-numbers/529845: A dehydrated patient needs a 3.24% saline IV. Unfortunately, the hospital only has bags of 1% and 9%saline solution. How many liters of each of these solutions should be mixed together to yield 5 liters of the desired concentration? 1 solutions Answer 349777 by josmiceli(9649)   on 2011-11-10 21:37:27 (Show Source): You can put this solution on YOUR website! Let = liters of 1% solution needed Let = liters of 9% solution needed given: (1) liters (2) --------------------------- (2) (2) (2) (2) Subtract (1) from (2) (2) (1) and, since (1) (1) (1) 3.6 liters of 1% solution are needed 1.4 liters of 9% solution are needed check: (2) (2) (2) (2) OK

Graphs/529863: Could you please help me solve this equation with SUBSITUTION: Y=-4x Y=2x-3 I need to show my work. 1 solutions Answer 349776 by josmiceli(9649)   on 2011-11-10 21:22:58 (Show Source): You can put this solution on YOUR website! (1) (2) Substitute in (1) for in (2) (2) Add to both sides (2) Add to both sides (2) Divide both sides by (2) (2)