Algebra ->  Tutoring on algebra.com -> See tutors' answers!      Log On

 Tutoring Home For Students Tools for Tutors Our Tutors Register Recently Solved
 By Tutor
| By Problem Number |

Tutor:

# Recent problems solved by 'josmiceli'

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 , 9660..9689 , 9690..9719 , 9720..9749 , 9750..9779 , 9780..9809 , 9810..9839, >>Next

 Equations/302419: 14.Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. You are putting a stone border of uniform width around a rectangular garden that measures 6 yards by 15 yards. You only have enough stone to cover 100 square yards. How wide should the border be? 1 solutions Answer 216825 by josmiceli(9817)   on 2010-05-09 18:44:36 (Show Source): You can put this solution on YOUR website!I'm not familiar with the 5-step process, but I can show you how I'd do it Let = the width of the border The area of the garden is yd2 The dimensions of the garden + border are: by The area of the garden + border is The area of the garden is yd2 The area of the border is yd2 Solve using quadratic formula (there's another solution, but it's negative) The border around the garden is 2 yds wide check: OK
 Travel_Word_Problems/302051: How long will it take for a car to travel 14 miles if it travels at a constant speed of 45 miles per hour?1 solutions Answer 216582 by josmiceli(9817)   on 2010-05-08 15:55:29 (Show Source): You can put this solution on YOUR website!How long does it take to go 1 mile? hr It will take times longer to go miles hr
 Probability-and-statistics/302030: The Everton College store paid \$1755 for an order of 49 calculators. The store paid \$8 for each scientific calculator. The others, all graphing calculators, cost the store \$55 each. How many of each type of calculator was ordered?1 solutions Answer 216581 by josmiceli(9817)   on 2010-05-08 15:48:11 (Show Source): You can put this solution on YOUR website!Let = number of graphing calculators bought = number of scientific calculators bought 20 scientific and 29 graphing were bought check: OK
 logarithm/302047: find the value of y. log4 64=y1 solutions Answer 216580 by josmiceli(9817)   on 2010-05-08 15:39:05 (Show Source): You can put this solution on YOUR website! This says
 Linear-equations/302040: Here's another accuplacer practice question that I have no clue about: "write the slope intercept form of the equation (-2,0)and (7,4). The answer that lights up correct is Y=4/9x + 8/9. Can someone tell me why this is correct, and in general , how to write slope intercept forms? Thanks lots.1 solutions Answer 216578 by josmiceli(9817)   on 2010-05-08 15:36:30 (Show Source): You can put this solution on YOUR website!The formula to use when given 2 points is: where the given points are: (x1,y1) and (x2,y2) It doesn't matter which is which, but I can call (x1,y1) = (-2,0) and (x2,y2) = (7,4) Putting these into the formula: Multiply both sides by answer
 absolute-value/302032: Solve and write using interval notation: -3 < -5x + 7 <= 8 1 solutions Answer 216575 by josmiceli(9817)   on 2010-05-08 15:20:48 (Show Source): You can put this solution on YOUR website! This says 2 things: (1) and (2) Subtract from both sides of (1) (1) (1) Divide both sides by and reverse < sign (1) or, (1) Now subtract from both sides of (2) Divide both sides by and reverse sign Or, what is the same thing: Putting (1) and (2) together: answer
 logarithm/301760: how to rewrite log(1000) in the terms of log(2)and log(5?1 solutions Answer 216440 by josmiceli(9817)   on 2010-05-07 21:33:55 (Show Source): You can put this solution on YOUR website! answer
 Linear_Equations_And_Systems_Word_Problems/301785: approximately one half of all glass bottles distributed will be recycled each year. A beverage company distributes 310,000 bottles. the number in use after t years is given by the function. N(t)=310,000(1/2)^t. How many years will 5000 bottles still be in use? I've tried several different ways to work this function and get a different answer every time!!!!!! Do Ineed to replace N for the 5000 to solve? Thanks, Desperately Trying 1 solutions Answer 216438 by josmiceli(9817)   on 2010-05-07 21:26:54 (Show Source): You can put this solution on YOUR website! Multiply both sides by take the log of both sides You can solve with calculator
 Travel_Word_Problems/301797: A helicopter goes 720 miles with the wind in the same time it can go 630 miles against the wind. The speed of the wind is 6 miles per hour. Find the speed of the helicopter with no wind.1 solutions Answer 216434 by josmiceli(9817)   on 2010-05-07 21:15:22 (Show Source): You can put this solution on YOUR website!Let = speed of helicopter with no wind = speed of wind given: with the wind: against the wind: --------------- This is 2 equations with 2 unknowns solve for and
 Expressions-with-variables/301808: You have 6 trucks and 5 cars. Each truck pays twice as much as each car to use the toll. At the end of the day \$12.75 was collected. Write the algebraic equation and solve the problem. 1 solutions Answer 216430 by josmiceli(9817)   on 2010-05-07 21:08:56 (Show Source): You can put this solution on YOUR website!Let = toll for 1 car Let = toll for 1 truck given: solve for , then
 Miscellaneous_Word_Problems/301827: A 60% acid solution is to be mixed with a 80% acid solution to produce 20 liters of a 65% acid solution. How many liters of each solution is needed? I tried setting up a table but that didn't work. Can you please explain how you derive at your answer. Thanks and have a wonderful weekend.1 solutions Answer 216424 by josmiceli(9817)   on 2010-05-07 20:58:41 (Show Source): You can put this solution on YOUR website!Let = liters of 60% solution needed Let = liters of 80% solution needed given: = acid in 60% solution = acid in 80% solution ----------------------- (1) liters (2) Multiply both sides of (1) by and subtract from (2) (2) (1) 15 liters of 60% solution and 5 liters of 80% solution are needed
 Volume/301653: On her early morning walk, Jinhee noticed that when she walked under a streetlight, her shadow would get longer the farther she was away from the light. She decided to use her shadow to find out how tall the light was. When she was 21 feet from the base of the light, her shadow was 7 feet long. She is 5 feet 6 inches 1 solutions Answer 216281 by josmiceli(9817)   on 2010-05-07 09:28:17 (Show Source): You can put this solution on YOUR website!There are 2 similar right triangles: One is formed by her and her shadow The other is formed by the streetlight and (distance to her + her shadow) I can write a ratio of the sides of these similar triangles: Let = the height of the streetlight multiply both sides by The streetlight is 22 ft high
 Mixture_Word_Problems/301657: A chemist has some 8% hydrogen peroxide solution and some 3% hydrogen peroxide solution, how many milliliters of each should be used to make 500-milliliter solution that is 4%?1 solutions Answer 216277 by josmiceli(9817)   on 2010-05-07 09:20:11 (Show Source): You can put this solution on YOUR website!Let = ml of 8% solution needed Let = ml of 3% solution needed given: hydrogen peroxide in 8% solution: ml hydrogen peroxide in 3% solution: ml ----------------- (1) and (2) Multiply both sides of (2) by and subtract (2) from (1) (1) (2) and, since 100 ml of 8% solution and 400 ml of 3% solution are needed check: OK
 Linear-equations/301601: how many liters of sprite must be added to 8 liters of a mixture of 30% sprite and 70% lime juice to obtain a mixture which is 40% sprite and 60% lime juice. All percentages are by volume1 solutions Answer 216256 by josmiceli(9817)   on 2010-05-07 00:42:13 (Show Source): You can put this solution on YOUR website!There are 8 liters of a mixture of 30% sprite and 70% lime juice The liters of sprite is: The liters of lime juice is: Call the liters of sprite added to this to get 40% sprite liters 4/3 liters of sprite must be added check: The % of lime juice is: OK
 Travel_Word_Problems/301604: Two cars leave an intersection. One car travels east; the other north. When the car traveling east had gone 15 miles, the distance between the cars was 5 miles more than the distance traveled by the car heading north. How far had the northbound car traveled? 1 solutions Answer 216252 by josmiceli(9817)   on 2010-05-07 00:25:58 (Show Source): You can put this solution on YOUR website!The 2 cars and their starting point form a right triangle One leg is mi Call the north leg Then the distance between the cars is The northbound car had gone 20 mi check: OK
 Linear-equations/301416: How would I graph c=30t+20? and also Media services charge \$20 for a phone and \$30/month for the economy plan, the equation c=30t+20 describes the total cost, c, of operating a media services phone for t months.what is total cost for 3 months of service? and also if a customer has \$90 how many months of services can they get? Thanks so much1 solutions Answer 216196 by josmiceli(9817)   on 2010-05-06 20:27:51 (Show Source): You can put this solution on YOUR website!Plot on the vertical axis, and on the horizontal axis You plot it by plugging values of into the equation and finding , like Here's the plot:
 Radicals/301512: 3 square root 12 + 4 square root31 solutions Answer 216191 by josmiceli(9817)   on 2010-05-06 20:19:02 (Show Source): You can put this solution on YOUR website! answer
 logarithm/301411: write -2logx-3logy+logz as one logarithm. 1 solutions Answer 216189 by josmiceli(9817)   on 2010-05-06 20:14:00 (Show Source): You can put this solution on YOUR website! answer
 Travel_Word_Problems/301440: If you drive at 80 mph, how long would it take to drive 118 miles?1 solutions Answer 216188 by josmiceli(9817)   on 2010-05-06 20:07:23 (Show Source): You can put this solution on YOUR website!How long does it take to drive mi? hr It takes times as long to drive mi hr
 logarithm/301459: What expression is equivalent to log(base 7)2401-log(base 3)243?1 solutions Answer 216185 by josmiceli(9817)   on 2010-05-06 20:00:29 (Show Source): You can put this solution on YOUR website!Playing with my calculator, I found that And I found that so, answer
 percentage/301358: A 60% acid solution is to be mixed with a 80% acid solution to produce 20 Liters of a 65% acid solution. How many liters of each solution is needed?1 solutions Answer 216058 by josmiceli(9817)   on 2010-05-06 13:25:23 (Show Source): You can put this solution on YOUR website!Let = liters of 60% solution needed Let = liters of 80% solution needed given: (1) liters (2) Multiply both sides of (1) by and subtract (1) from (2) and, since 15 liters of 60% solution and 5 liters of 80% solution are needed check: In words: (liters of acid you end up with) / (final total liters of solution) = 65% OK
 Money_Word_Problems/300978: I need help with this word math problem. In a collection of nickels, dimes, and quarters, there are twice as many dimes as nickels, and fewer quarters than dimes. If the total value of the coins is \$4.50, how many of each type of coin are there? 1 solutions Answer 215858 by josmiceli(9817)   on 2010-05-05 17:51:50 (Show Source): You can put this solution on YOUR website!Let = number of nickels Let = number of dimes Let = number of quarters given: (in cents) --------- By substitution: I know that , since quarters must add up to less than \$4.50 If then, suppose , could be That's \$2.75 plus \$1.00 = \$3.75. If there are twice as many dimes as nickels, , totaling \$.25 \$3.75 + \$.25 = \$4.00 My next guess is ,, You can go on from here, since you get the idea