See tutors' answers!

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


   
By Tutor
 | By Problem Number | 

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

Recent problems solved by 'checkley77'

checkley77 answered: 12560 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 , 9660..9689 , 9690..9719 , 9720..9749 , 9750..9779 , 9780..9809 , 9810..9839 , 9840..9869 , 9870..9899 , 9900..9929 , 9930..9959 , 9960..9989 , 9990..10019 , 10020..10049 , 10050..10079 , 10080..10109 , 10110..10139 , 10140..10169 , 10170..10199 , 10200..10229 , 10230..10259 , 10260..10289 , 10290..10319 , 10320..10349 , 10350..10379 , 10380..10409 , 10410..10439 , 10440..10469 , 10470..10499 , 10500..10529 , 10530..10559 , 10560..10589 , 10590..10619 , 10620..10649 , 10650..10679 , 10680..10709 , 10710..10739 , 10740..10769 , 10770..10799 , 10800..10829 , 10830..10859 , 10860..10889 , 10890..10919 , 10920..10949 , 10950..10979 , 10980..11009 , 11010..11039 , 11040..11069 , 11070..11099 , 11100..11129 , 11130..11159 , 11160..11189 , 11190..11219 , 11220..11249 , 11250..11279 , 11280..11309 , 11310..11339 , 11340..11369 , 11370..11399 , 11400..11429 , 11430..11459 , 11460..11489 , 11490..11519 , 11520..11549 , 11550..11579 , 11580..11609 , 11610..11639 , 11640..11669 , 11670..11699 , 11700..11729 , 11730..11759 , 11760..11789 , 11790..11819 , 11820..11849 , 11850..11879 , 11880..11909 , 11910..11939 , 11940..11969 , 11970..11999 , 12000..12029 , 12030..12059 , 12060..12089 , 12090..12119 , 12120..12149 , 12150..12179 , 12180..12209 , 12210..12239 , 12240..12269 , 12270..12299 , 12300..12329 , 12330..12359 , 12360..12389 , 12390..12419 , 12420..12449 , 12450..12479 , 12480..12509 , 12510..12539 , 12540..12569, >>Next

Quadratic_Equations/204683: f(x)=2x squared
1 solutions

Answer 154494 by checkley77(12569) About Me  on 2009-07-29 09:31:10 (Show Source):
You can put this solution on YOUR website!
f(x)=2x squared
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x%5E2%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 2x^2).


Numbers_Word_Problems/204692: This question is from textbook Algebra 1
find two consecutive odd integers such that twice the lager is 17 more than the smaller
1 solutions

Answer 154493 by checkley77(12569) About Me  on 2009-07-29 09:27:23 (Show Source):
You can put this solution on YOUR website!
Let x & x+2 be the 2 integers.
2(x+2)=x+17
2x+4=x+17
2x-x=17-4
x=13 ans. for the smaller integer.
13+2=15 ans. for the larger integer.
Proof:
2*15=13+17
30=30


Probability-and-statistics/204412: A bag contains 2 green, 9 brown, 7 yellow and 4 blue marbles. once a marble is selected, it is not replaced. find each probability.
1)p(brown, then yellow)
3)P(yellow, then yellow)
5 P(green, then not blue)
1 solutions

Answer 154322 by checkley77(12569) About Me  on 2009-07-27 14:59:14 (Show Source):
You can put this solution on YOUR website!
9/22*7/21=63/462=.136=13.6% chance of a brown then a yellow selection.
7/22*6/21=42/462=.09=9% chance of a yellow then a yellow selection.
2/22*17/21=34/462=.0736=7.36% chance of a green & then not a blue.


Linear-systems/204405: 3x-3y=3
2x+y=2
1 solutions

Answer 154321 by checkley77(12569) About Me  on 2009-07-27 14:51:18 (Show Source):
You can put this solution on YOUR website!
3x-3y=3
2x+y=2 multiply by 3 & add.
6x+3y=6
3x-3y=3
---------------
9x=9
x=9/9
x=1 ans.
3*1-3y=3
3-3y=3
-3y=3-3
-3y=0
y=0/-3
y=0 ans.
Proof:
2*1+0=2
2=2


Probability-and-statistics/204347: A card is selected from a deck of 52 playing cards. Find the probability of selecting
a) a seven given the card is a not a face card. (An ace is not a face card.)
b) a spade given the card is red.



1 solutions

Answer 154318 by checkley77(12569) About Me  on 2009-07-27 14:43:20 (Show Source):
You can put this solution on YOUR website!
4/(52-16)=4/36=1/9=.1111=11.11% chance of selecting a 7.
26/0 not possible.


Probability-and-statistics/204348: One card is selected at random from a standard 52-card deck of playing cards. Find the probability that the card selected is a jack.

1 solutions

Answer 154308 by checkley77(12569) About Me  on 2009-07-27 14:03:59 (Show Source):
You can put this solution on YOUR website!
Probability=(number of successes)/(total outcomes)
P=4/52=1/13=.076923=7.6923% chance of selecting a jack.


Rate-of-work-word-problems/204387: It takes Jon 7 hours to paint a room. It takes Kate 12 hours to paint the same room. How many hours will it take them to paint the room if they work together?
1 solutions

Answer 154306 by checkley77(12569) About Me  on 2009-07-27 13:58:28 (Show Source):
You can put this solution on YOUR website!
(7*12)/(7+12)=84/19=4.421 hours working together will finish the job.


Probability-and-statistics/204390: This question is from textbook
The telephone prefix for a university is 243. THe prefix is followed by four digits. How many telephones are pssible before a new prefix is needed?
1 solutions

Answer 154305 by checkley77(12569) About Me  on 2009-07-27 13:56:24 (Show Source):
You can put this solution on YOUR website!
10*10*10*10=10,000 is the max. number of 4 digit numbers for the 243 prefix.


Travel_Word_Problems/204392: A freight train leaves a station travelling at 30 mph A passenger train leaves 1 hours later travelling at 50 mph. At what time will the passenger train overtake the freight train?
1 solutions

Answer 154303 by checkley77(12569) About Me  on 2009-07-27 13:53:38 (Show Source):
You can put this solution on YOUR website!
30t=50(t-1)
30t=50t-50
30t-50t=-50
-20t=-50
t=-50/-20
t=2.5 hours after the freight train leaves the station they will meet.


Probability-and-statistics/204394: This question is from textbook
Radio stations in the United States have call letters that begin with either K or W. Some ahve three letters; others have four letters. How many sets of three letter call letters are possible? How many sets of four letter call letters are possible?
1 solutions

Answer 154302 by checkley77(12569) About Me  on 2009-07-27 13:49:31 (Show Source):
You can put this solution on YOUR website!
2*26=52 3 letter stations.
2*26*26=1,352 4 letter stations.


Probability-and-statistics/204395: This question is from textbook
Carlin's Pizza House offers 3 kinds of salad, 15 kinds of pizza and 4 kinds of dessert. How many different three course meals can be ordered?
1 solutions

Answer 154301 by checkley77(12569) About Me  on 2009-07-27 13:46:12 (Show Source):
You can put this solution on YOUR website!
3*15*4=180 combinations are possible.


Probability-and-statistics/204396: This question is from textbook
License paltes in a certain state have three letters followed by threee digits. How many different plates are possible if no repititions of letters or numbers are allowed?
1 solutions

Answer 154300 by checkley77(12569) About Me  on 2009-07-27 13:44:41 (Show Source):
You can put this solution on YOUR website!
26*25*24*10*9*8=11,232,000 combinations.


Parallelograms/204400: This word problem is:
A parallelogram has a base of length of x+6 and a height of x+2 and an area of 60 unit. find the base and height of the parallelogram?
My best guess is that x=4 because 4+6=10 and 4+2=6 and then 10 x 6 = 60 <-- area but i do not know how to show the work?!?
1 solutions

Answer 154299 by checkley77(12569) About Me  on 2009-07-27 13:42:25 (Show Source):
You can put this solution on YOUR website!
(x+6)(x+2)/2=60
(x^2+8x+12)/2=60
x^2+8x+12=60*2
x^2+8x+12-120=0
X^2+8X-108=0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x=(-8+-sqrt[8^2-4*1*-108])/2*1
x=(-8+-sqrt[64+432])/2
x=(-8+-sqrt496)/2
x=(-8+22.271)/2
x=(-8+22.271)/2
x=14.271/2
x=7.1355
7.1355+6=13.1355 ans. for the base.
7.1355+2=9.1355 ans. for the height.
Proof:
(7.1355+6)(7.1355+2)/2=60
(13.1355*9.1355)/2=60
120/2=60
60=60



Rectangles/204253: Find an algebraic expression
The perimeter of a rectangle, given that the length is x yards and the width is 10 yards shorter
1 solutions

Answer 154229 by checkley77(12569) About Me  on 2009-07-26 16:16:23 (Show Source):
You can put this solution on YOUR website!
P=2W+2L
P=2(X-10)+2X
P=2X^2-20+2X
P=2X^2+2X-20


Polynomials-and-rational-expressions/204263: Factor the polynomial completely.
Problem: h^2 -9hs +9s^2 =
1 solutions

Answer 154228 by checkley77(12569) About Me  on 2009-07-26 16:10:59 (Show Source):
You can put this solution on YOUR website!
h^2 -9hs +9s^2
Using the quadratic equation:x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ we get.
h=(9+-sqrt[-9^2-4*1*9])/2*1
h=(9+-sqrt[81-36])/2
h=(9+-sqrt45)/2
h=(9+-6.7082)/2
h=(9+6.7082)/2
h=15.7082/2
h=7.8541
h=(9-6.7082)/2
h=(2.2918/2
h=1.1459
(h-7.8541s)(h-1.1459s) ans.


Equations/204278: Could you please help me factor a trinomial??
7v^2-14v-56
Thank you for your help!!
1 solutions

Answer 154224 by checkley77(12569) About Me  on 2009-07-26 15:53:25 (Show Source):
You can put this solution on YOUR website!
7v^2-14v-56
(7v-28)(v+2) ans.


Miscellaneous_Word_Problems/203830: In the 2004 Presidential election, Ryan stuffed fliers into envelopes for the candidate he supported. He worked from 2:10 P.M. to 4:40 P.M. and completed 360 envelopes. At what rate did Ryan stuff the envelopes?
1 solutions

Answer 153968 by checkley77(12569) About Me  on 2009-07-23 15:49:11 (Show Source):
You can put this solution on YOUR website!
360/2.5=144 envelopes per hour.


Functions/203847: list the coordinates of three other points that are on the same line as (-2,14) and (17,-5).
1 solutions

Answer 153967 by checkley77(12569) About Me  on 2009-07-23 15:46:34 (Show Source):
You can put this solution on YOUR website!
(-2,14) and (17,-5).
Y=mX+b where m=slope & b=the Y intercept.
slope=(y2-y1)/(x2-x1)
slope=(-5-14)/(17+2)
slope=-19/19
slope=-1
14=-1*-2+b
14=2+b
b=14-2
b=12 the y intercept.
Y=-X+12 ans.
+graph%28+300%2C+200%2C+-6%2C+15%2C+-10%2C+15%2C+-x+%2B12%29+ (graph 300x200 pixels, x from -6 to 15, y from -10 to 15, -x +12).


Linear-equations/203997: Graph the following.
A. x + 3y = − 6
b. 3x − 2y = 8

1 solutions

Answer 153965 by checkley77(12569) About Me  on 2009-07-23 15:32:32 (Show Source):
You can put this solution on YOUR website!
A. x + 3y = − 6
3y=-x-6
y=-x/3-6/3
y=-x/3-2 (red line)
b. 3x − 2y = 8
-2y=-3x+8
y=-3x/-2+8/-2
y=3x/2-4 (green line)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-x%2F3+-2%2C+3x%2F2+-4%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -x/3 -2 and -3x/2 -4).


Equations/204028: Hi, could you please help me with factoring?
14a^2-33ad+18d^2

Thank you so much!!
1 solutions

Answer 153964 by checkley77(12569) About Me  on 2009-07-23 15:27:47 (Show Source):
You can put this solution on YOUR website!
14a^2-33ad+18d^2
(7a-6d)(2a-3d) ans.


Miscellaneous_Word_Problems/203848: Two angles are complementary. One angle is 18 degrees less than twice the other. Find the angles.
1 solutions

Answer 153849 by checkley77(12569) About Me  on 2009-07-22 16:27:04 (Show Source):
You can put this solution on YOUR website!
x+2x-18=90
3x=90+18
3x=108
x=108/3
x=36 ans. for the smallewr angle.
90-36=54 ans. for the larger angle.
Proof:
36+2*36-18=90
36+72-18=90
90=90


Inequalities/203878: 3x+4>7
1 solutions

Answer 153846 by checkley77(12569) About Me  on 2009-07-22 16:22:03 (Show Source):
You can put this solution on YOUR website!
3x+4>7
3x>7-4
3x>3
x>3/3
x>1 ans.
Proof:
Let x=1.1
3*1.1+4>7
3.3+4>7
7.3>7


Numeric_Fractions/203883: Could you please help me solve this
7/8 +1/9 / 8/9
1 solutions

Answer 153845 by checkley77(12569) About Me  on 2009-07-22 16:18:56 (Show Source):
You can put this solution on YOUR website!
7/8 +1/9 / 8/9
7/8+1/9*9/8
7/8+1/8=8/8=1 ans.


Rectangles/203913: If the perimeter of a rectangle is 50 feet, and one of the sides is 10 feet, find the length of the other side.

1 solutions

Answer 153842 by checkley77(12569) About Me  on 2009-07-22 16:15:02 (Show Source):
You can put this solution on YOUR website!
2*10+2x=50
20+2x=50
2x=50-20
2x=30
x=30/2
x=15 ans. for the other side.


Money_Word_Problems/203460: Debbie pays 15% of her taxable income of $34,200 in taxes. How much of her income will go to education and social service?
1 solutions

Answer 153654 by checkley77(12569) About Me  on 2009-07-20 15:51:44 (Show Source):
You can put this solution on YOUR website!
.15*34,200=$5130 ans.


Linear_Equations_And_Systems_Word_Problems/203619: This question is from textbook
the ten's digit of a number is 5 times the unit's digit. what is the number?
1 solutions

Answer 153652 by checkley77(12569) About Me  on 2009-07-20 15:44:29 (Show Source):
You can put this solution on YOUR website!
00 or 51 ans.


Coordinate-system/203621: -x+5y=-15
1 solutions

Answer 153650 by checkley77(12569) About Me  on 2009-07-20 15:42:34 (Show Source):
You can put this solution on YOUR website!
-x+5y=-15
5y=x-15
y=x/5-15/5
y=x/5-3
+graph%28+300%2C+200%2C+-6%2C+15%2C+-10%2C+10%2C+x%2F5+-3+%29+ (graph 300x200 pixels, x from -6 to 15, y from -10 to 10, x/5 -3).


Polynomials-and-rational-expressions/203635: Simplify : (s^3)^4/(s^2)^3
1 solutions

Answer 153649 by checkley77(12569) About Me  on 2009-07-20 15:38:34 (Show Source):
You can put this solution on YOUR website!
(s^3)^4/(s^2)^3
s^12/s^6
s^(12-6)
s^6 ans.


Age_Word_Problems/203512: a cyclist traveled at at rate of 32 mph to visit a nearby town. The cyclist averaged 10 mph on the return trip. If the trip took 6.3 hours, find the distance to the nearby town.
1 solutions

Answer 153565 by checkley77(12569) About Me  on 2009-07-19 17:40:11 (Show Source):
You can put this solution on YOUR website!
D=RT OR T=D/R
X/32+X/10=6.3
(10X+32X)/(10*32)=6.3
42X/320=6.3
42X=6.3*320
42X=2,016
X=2,016/42
X=48 MILES IS THE DISTANCE TO THE NEARBY TOWN.
PROOF:
48/32+48/10=6.3
1.5+4.8=6.3
6.3=6.3


Square-cubic-other-roots/203538: √(3/2) - √(2/3)
I dont get this i tried and i get √(30)/6 but the answer says its wrong.
1 solutions

Answer 153564 by checkley77(12569) About Me  on 2009-07-19 17:29:39 (Show Source):
You can put this solution on YOUR website!
sqrt(3/2)-sqrt(2/3)
sqrt1.5-sqrt.6667
1.2247-.8165=.4082 ans.


Travel_Word_Problems/203545: If a space probe travels 100 kilometers per second for 12 years, how far will it travel?

1 solutions

Answer 153563 by checkley77(12569) About Me  on 2009-07-19 17:22:27 (Show Source):
You can put this solution on YOUR website!
100*60*60*24*365*12=3.78432*10^10 kilometers.
km/sec/min/hrs/days/yrs