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 'scott8148'

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, >>Next

 Miscellaneous_Word_Problems/96512: This question is from textbook pg 128 Celia bought 12 apples, ate two of them, and sold the rest at .20 more per apple than she paid. Her total profit was \$1.00. How much did she sell each apple for? I know this is more simple than I am making it. Please help. 12x - 2 = 10(x + .20) +1.00?1 solutions Answer 70306 by scott8148(6628)   on 2007-09-06 18:36:46 (Show Source): You can put this solution on YOUR website!she bought 12 apples and ate 2, leaving 10 ... she sold the 10 for .20 more per apple than she paid ... her profit was 1.00 let x=selling price ... 10x-1.00=12(x-.20) ... 10x-1=12x-2.4 ... 1.4=2x ... .70=x
 Inequalities/96324: Hello, I am needing some help with this problem: (x+2)(x-3)>(x-1)(x+1) factored out: x^2+2x-3x-6>x^2-1 I tried using the quadratic formula with the left side but wasn't coming up with the right answer. Any help will be appreicated.1 solutions Answer 70216 by scott8148(6628)   on 2007-09-05 23:35:26 (Show Source): You can put this solution on YOUR website!subtracting x^2 gives -x-6>-1 ... adding x and 1 gives -5>x
 Polygons/96363: HOW MANY DIAGONALS CAN BE DRAWN FROM ONE VERTEX OF A REGULAR OCTAGON?1 solutions Answer 70214 by scott8148(6628)   on 2007-09-05 23:18:32 (Show Source): You can put this solution on YOUR website!a regular octagon has 8 vertices; so from one vertex, lines can be drawn to the other 7 vertices the lines to the two adjacent vertices are sides of the octagon ... the other 5 lines are diagonals
 Miscellaneous_Word_Problems/96364: Suppose you have two 20 oz cups full of gems. You also have an empty 8 oz cup and an empty 14 oz cup. Using only these four cups, you need to measure exactly 6 oz of gems in each of the smaller cups. Without spilling a gem, how can this be done? 1 solutions Answer 70213 by scott8148(6628)   on 2007-09-05 23:13:08 (Show Source): You can put this solution on YOUR website!using one 20 oz cup, fill the 14 oz cup and pour the remaining gems (6 oz) into the 8 oz cup using the other 20 oz cup, fill the 8 oz cup (using 2 oz) ... this leaves 18 oz in the second 20 oz cup empty the 8 oz cup into the first 20 oz cup fill the 8 oz cup from the 14 oz cup, leaving 6 oz in the 14 oz cup fill the second 20 oz cup from the 8 oz cup, using 2 oz and leaving 6 oz in the 8 oz cup
 Exponents/96307: Where may I find a list of definitions for allgebra vocabulary?1 solutions Answer 70106 by scott8148(6628)   on 2007-09-05 16:17:07 (Show Source): You can put this solution on YOUR website!try google
 Miscellaneous_Word_Problems/96293: I need help on this problem. Please show me it in the "Five-step" plan method. One number is four times another number. The larger number is also 87 Choices for the smaller number: 29 30, 33 also, if you could show me another example that would be great! I dont understand it at all.. could you please help, Julian1 solutions Answer 70105 by scott8148(6628)   on 2007-09-05 16:16:19 (Show Source): You can put this solution on YOUR website!something is amiss here ... 4 times a number will give an even result ... 87 is odd there seems to be missing information...
 Numbers_Word_Problems/96107: Separate 65 into two parts such that 3 times the larger will be more than 6 times the smaller (Hint:let x and 65-x represent your two numbers) P/S:Hint was not given by paper. i figured that much out. 1 solutions Answer 69996 by scott8148(6628)   on 2007-09-04 21:25:07 (Show Source): You can put this solution on YOUR website!good hint 3(65-x)>6x ... 195-3x>6x ... 195>9x ... (195/9)>x ... (21 2/3)>x ... 65-x>(43 1/3)
 Percentage-and-ratio-word-problems/96139: This question is from textbook When a popular brand of CD player is priced at \$300 per unit, a store sells 15 units per week.Each time the price is reduced by \$10, however, the sale increases by two per week. What selling price will result in weekly revenues of \$7000? Can anyone help me with this? I am not sure about the set up. 300-10x +2 = 7000? Thanks1 solutions Answer 69992 by scott8148(6628)   on 2007-09-04 21:13:36 (Show Source): You can put this solution on YOUR website!your equation is close ... for every \$10 price reduction, unit sales increase by 2 (300-10x)(15+2x)=7000 ... 4500+450x-20x^2=7000 ... -2500+450x-20x^2=0 rearranging terms and dividing by -10 gives 2x^2-45x+250=0 ... factoring gives (2x-25)(x-10)=0 so x=10 and x=12.5 ... giving a selling price of 300-10(10) or \$200 even though 12.5 is a solution to the equation; from the way the problem is stated, it looks like only integer values are valid
 Equations/96128: The question is: find three consecutive intengers whose sum is 11 less than 5 times the smallest of the three. I think the equation would be x+y+z=5x-11 but how do I solve it? Help!1 solutions Answer 69980 by scott8148(6628)   on 2007-09-04 20:50:02 (Show Source): You can put this solution on YOUR website!you are on the right track consecutive integers means y is one more than x and z is one more than y ... so x+(x+1)+(x+2)=5x-11 3x+3=5x-11 ... 14=2x ... 7=x
 logarithm/96003: my problem is: log (base 4) 9x^2 = log (base 2)(5x-8) i think i have to switch the base on the left hand side to 2 which would give me log (base 2) 9x^2 ----------------- = log (base 2)(5x-8) log (base 2) 4 i dont even know if thats right..but after that im completely lost though...any help would be appreciated, thanks. 1 solutions Answer 69972 by scott8148(6628)   on 2007-09-04 18:51:15 (Show Source): You can put this solution on YOUR website!you are right about changing the base ... 2^2=4 so log(base2)4=2 ... so log(base2)9x^2=2(log(base2)(5x-8)) multiplying a log by 2 means squaring the argument ... 9x^2=(5x-8)^2 ... taking square root gives 3x=5x-8 and -3x=5x-8 so x=4 and x=1 ... but remember, logs are undefined for negative arguments [5(1)-8=-3] ... so 4 is the solution
 Mixture_Word_Problems/96060: Hello! How much water should be added to 1 gallon of pure antifreeeze to obtain a solution that is 60% antifreeze? If someone could show me how to set this problem up it would be appreicated.1 solutions Answer 69968 by scott8148(6628)   on 2007-09-04 18:24:43 (Show Source): You can put this solution on YOUR website!1(100%)+x(0%)=(1+x)(60%) ... 1(1)+x(0)=(1+x)(.6) ... 1=.6+.6x ... .4=.6x ... 2/3=x pure antifreeze is 100% antifreeze, water is 0% antifreeze
 Expressions-with-variables/95940: 1/2x - 1/6y = 3 2/5x + 1/2y = 2 These are to be solved using the elimination method. I do not even know where to begin! Help please! Thank You Nancy1 solutions Answer 69887 by scott8148(6628)   on 2007-09-03 22:54:01 (Show Source): You can put this solution on YOUR website!to eliminate a variable, you need to get the absolute values of two terms in two different equations to equal each other multiplying the first equation by 3 gives (3/2)x-(1/2)y=9 adding this to the second equation eliminates the y term and gives (19/10)x=11 ... x=110/19 (2/5)(110/19)+(1/2)y=2 ... (1/2)y=-6/19 ... y=-12/19
 Triangles/95818: The Radius of the Earth is 3960 miles and 1 mile = 5280 feet. The deck of a ship is 100 feet above sea level. How far can you see from the deck? I am not sure where to start. We were working with right triangles in my trigonometry class... I just am not sure how to solve this at all. Thanks for the help.1 solutions Answer 69883 by scott8148(6628)   on 2007-09-03 22:27:03 (Show Source): You can put this solution on YOUR website!when you stand on the deck, your line of sight to the horizon (distance you can see) is tangent to the circumference of the Earth a radius of the Earth is perpendicular to this tangent ... this radius and your line of sight are 2 sides of a right triangle the third side (which is the hypotenuse) is a radius of the Earth plus the 100 foot height of the deck by Pythagoras, x^2+(3960*5280)^2=((3960*5280)+100)^2 ... using a calculator, x is approximately 64667 ft or 12.25 mi
 Percentage-and-ratio-word-problems/95305: A ceramic clay contains 50% silica, 15% water, and 35% other materials. Determine the percentage of silica ion a dry(water-free) basis.1 solutions Answer 69598 by scott8148(6628)   on 2007-09-01 13:44:24 (Show Source): You can put this solution on YOUR website!50%/(50%+35%)=.5/.85=58.8% (approximately)
 Percentage-and-ratio-word-problems/95318: Please help me solve this word problem: If 110 students voted for Alyssa for class president, 60 students voted for bob, and 30 students voted for Charles, Calculate the percentage of the class that voted for each candidate.1 solutions Answer 69597 by scott8148(6628)   on 2007-09-01 13:38:27 (Show Source): You can put this solution on YOUR website!200 students (110+60+30) 110/200=.55 or 55% for Alyssa 60/200=.30 or 30% for bob 30/200=.15 or 15% for Charles
 Permutations/95385: I need help with this problem: There is someone who needs change for a dollar. Using nickles, dimes, &/or quarters, how many possable combonations to make a dollar are there?; I need an easier way to figue this out. BTW I am a 7th grader in Pre-AP Pre-Algebra so I'm going to bookmark this page.1 solutions Answer 69595 by scott8148(6628)   on 2007-09-01 13:28:16 (Show Source): You can put this solution on YOUR website!the easiest way is with a table Q_D_N 4_0_0 3_2_1 3_1_3 3_0_5 2_5_0 2_4_2 2_3_4 2_2_6 2_1_8 2_0_10 1_7_1 1_6_3 1_5_5 1_4_7 1_3_9 now that I have almost finished the table, I see the solution 1 way with 4Q, 3 ways with 3Q, 6 ways with 2Q, 8 ways with 1Q, and 11 ways with no Q ... 29 ways
 Graphs/95388: what about stuff like finding the AREA for problem...& simplifying,solving for X? EXAMPLES:1)find area for rectangle 5 & 8. 2)Triangle area 4 & 5. 3)solve for X : -2(2x-3)=2x ~~SORRYY!!!~~1 solutions Answer 69592 by scott8148(6628)   on 2007-09-01 13:05:12 (Show Source): You can put this solution on YOUR website!1) assuming 5 & 8 are width and length, the area of the rectangle is 5*8 or 40 2) you need more information for the area of the triangle ... the angle between the two sides or the length of the third side 3) distribute the -2 on the left side ... -4x+6=2x ... 6=6x ... 1=x
 Functions/95393: 1. f(13) 2. f(f(2)+f(3)) 3. (f(1+4))/(f(1)+4)-(1/4)(4/f(1))1 solutions Answer 69591 by scott8148(6628)   on 2007-09-01 12:58:08 (Show Source): You can put this solution on YOUR website!this is not solvable without the definition of the function f
 Graphs/95548: thru (-2,3/4) and (2/3,5/2) find an eq. in slope-intercept form if possible pls show work thanks 1 solutions Answer 69589 by scott8148(6628)   on 2007-09-01 12:47:24 (Show Source): You can put this solution on YOUR website!the slope is the change in y (rise) divided by the change in x (run) slope ... ((5/2)-(3/4))/((2/3)-(-2)) ... (7/4)/(8/3) ... 21/32 y=(21/32)x+b ... 3/4=(21/32)(-2)+b ... (3/4)+(21/16)=b ... 33/16=b y=(21/32)x+(33/16)
 Trigonometry-basics/95550: This question is from textbook algebra and trigonometry WORD PROBLEM : There are 10 women and 8 men in a club. How many diferent committees of 6 each can be selected from the group if equal number of men and women are to be on the committee? PLEASE HELP ME SOLVE!!!!1 solutions Answer 69588 by scott8148(6628)   on 2007-09-01 12:34:44 (Show Source): You can put this solution on YOUR website!you are selecting groups of 3 from a group of 8 and a group of 10 ... order is not important 3 from 8 is (8*7*6)/(3*2*1) ... 56 3 from 10 is (10*9*8)/(3*2*1) ... 120 any of the groups of men can be combined with any of the groups of women so the total number of committees is 56*120 or 6720
 Complex_Numbers/95483: Please help me with this problem. Find a quadratic function with solutions -5+2i and -5-2i and a leading coefficient of 1. 1 solutions Answer 69481 by scott8148(6628)   on 2007-08-31 15:11:44 (Show Source): You can put this solution on YOUR website!if s is a solution (root) of a quadratic equation, then (x-s) is a factor (x-(-5+2i))(x-(-5-2i))=0 ... (x+5-2i)(x+5+2i)=0 ... x^2+5x+2ix+5x+25+10i-2ix-10i-4i^2=0 ... x^2+10x+29=0
 test/95415: This question is from textbook a bus went 318 km farther than a car. the car went 1/3 as far as the bus. how far did each vehicle travel? choices for cars distance: 147, 151, 1591 solutions Answer 69476 by scott8148(6628)   on 2007-08-31 14:16:24 (Show Source): You can put this solution on YOUR website!b=c+318 and b=3c so 3c=c+318 ... 2c=318 ... c=159 ... b=159+318 ... b=479
 Proportions/95417: the length of a rectangle is 8 more than twice the width. The ratio of length to width is 12 to 5. Find the length and the width of the rectangle. (I tried solving it as 12/5 = 2x+8/2x. I then cross multiplied and got 5(2x+8)=12(2x). I used the distributive property to get 5 times 2x+40=12 times 2x. I do not know how to solve past there though.)1 solutions Answer 69475 by scott8148(6628)   on 2007-08-31 14:11:06 (Show Source): You can put this solution on YOUR website!the denominator on the right side of your first equation should be x, not 2x 5(2x+8)=12x ... 10x+40=12x ... 40=2x ... x=20 length=48, width=20
 Numeric_Fractions/95439: i"m sorry i missed another question * the bears set out to pick berries for one of carol's famous pies. when they stopped picking: *one bear sampled a berry and then ate 1/2 of what was left. *another bear sampled a berry and ate 1/2 of whatwas left. maria took the bucket and saw only twelve berries left. how many berries did they pick in all1 solutions Answer 69473 by scott8148(6628)   on 2007-08-31 13:56:49 (Show Source): You can put this solution on YOUR website!let x=berries picked one bear sampled a berry and then ate 1/2 of what was left ... (x-1)(1/2) another bear sampled a berry and then ate 1/2 of what was left ... ((x-1)(1/2)-1)(1/2) maria took the bucket and saw only twelve berries left ... =12 ((x-1)(1/2)-1)(1/2)=12 ... ((x-1)(1/2)-1)=24 ... (x-1)(1/2)=25 ... x-1=50 ... x=51
 Quadratic_Equations/95446: A ball is thrown upward from the roof of a building 100 m tall with an initial velocityof 20 m/s. When will the ball reach a height of 80 m?1 solutions Answer 69472 by scott8148(6628)   on 2007-08-31 13:46:03 (Show Source): You can put this solution on YOUR website!h=(-g/2)t^2+vt+s ... where g is gravitational acceleration (9.8 in meters), v is initial velocity, and s is starting height 80=-4.9t^2+20t+100 ... 0=-4.9t^2+20t+20 ... using quadratic equation gives ... t=-0.83 and t=4.91 ... the negative value is not realistic
 Percentage-and-ratio-word-problems/95389: would like to receive 136,000 after deducting the 6% commission due to real estate agent. What should the selling price for the house be to the nearest dollar?1 solutions Answer 69427 by scott8148(6628)   on 2007-08-30 20:49:13 (Show Source): You can put this solution on YOUR website!the agent gets 6% leaving the owner with 94%, so 94% of the selling price must equal 136000 .94x=136000 ... x=144681 (to the nearest dollar)
 Age_Word_Problems/95399: Please help me with June is 1 year younger than her husband Lee. The product of there ages is 650. How old is each? x(x+1)=650 1 solutions Answer 69424 by scott8148(6628)   on 2007-08-30 20:44:25 (Show Source): You can put this solution on YOUR website!you are looking for two factors of 650 that are 1 apart 65 and 10? no ... 50 and 13? no ... but half of 50 is 25 and twice 13 is 26 ...BINGO! the ages are 25 and 26 looking for factors that are close together, sometimes the square root helps ... the square root of 650 is 25 and a fraction
 Percentage-and-ratio-word-problems/95394: Danny wants to sell his house. He would like to receive \$136,000 after deducting the 6% commission due to the real estate agent. What should the selling price for the house be to the nearest dollar?1 solutions Answer 69419 by scott8148(6628)   on 2007-08-30 20:31:43 (Show Source): You can put this solution on YOUR website!the agent gets 6% leaving Danny with 94%, so 94% of the selling price must equal 136000 .94x=136000 ... x=144681 (to the nearest dollar)
 Functions/95326: Please help me, can you explain how to do this???? Given h(x)=4x+8, find 4[h(-3/4)]. I have no idea how to do this!!! HELP! 1 solutions Answer 69416 by scott8148(6628)   on 2007-08-30 20:25:03 (Show Source): You can put this solution on YOUR website!the h(x) is a recipe for the function h ... when you h something, you multiply it by 4 and add 8 h(-3/4) is 4(-3/4)+8 ... -3+8=5 the quantity h(-3/4) is then multiplied by 4 ... 4[5]=20