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, >>NextCoordinate-system/136879: What is the distance between (6,-1)and (-3,7)?
1 solutions
Answer 100270 by checkley77(12569)   on 2008-04-16 18:33:25 (Show Source):
You can put this solution on YOUR website!distance between (6,-1)and (-3,7)is:
for the x distance we have 6+3=9
for the y distance we have 7+1=8
thus we have a right triangle with 2 sides of 9 & 8 & we're looking for the hypotenuse using:
[a^2+b^2=c^2].
8^2+9^2=h^2
64+81=h^2
145=h^2
h=sqrt145
h=12.0416 is the distance between these 2 points.
|
Graphs/136885: SOLVE AND GRAPH X+Y=3 X-Y=1
1 solutions
Answer 100266 by checkley77(12569) on 2008-04-16 18:24:42 (Show Source):
You can put this solution on YOUR website!sometimes it's easier to graph & then solve:
the solution here is (2,1)
X+Y=3
Y=-X+3 (RED LINE)
X-Y=1
-Y=-X+1
Y=X-1 (GREEN LINE)
(graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -x +3 and x -1).
|
Graphs/136886: SOLVE AND GRAPH X+Y=3 X-Y=1
1 solutions
Answer 100265 by checkley77(12569) on 2008-04-16 18:22:14 (Show Source):
You can put this solution on YOUR website!sometimes it's easier to graph & then solve:
the solution here is (2,1)
X+Y=3
Y=-X+3 (RED LINE)
X-Y=1
-Y=-X+1
Y=X-1 (GREEN LINE)
(graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -x +3 and x -1).
|
Graphs/136887: SOLVE AND GRAPH X+Y=3 X-Y=1
1 solutions
Answer 100264 by checkley77(12569) on 2008-04-16 18:19:59 (Show Source):
You can put this solution on YOUR website!
sometimes it's easier to graph & then solve:
the solution here is (2,1)
X+Y=3
Y=-X+3 (RED LINE)
X-Y=1
-Y=-X+1
Y=X-1 (GREEN LINE)
(graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -x +3 and x -1).
|
Linear-equations/136888: This question is from textbook Pre-algebra
i'm having a hard time understanding how to identify the slope and y-intercept of y = -4/3x + 3 and graphing the line.
1 solutions
Answer 100263 by checkley77(12569) on 2008-04-16 18:15:16 (Show Source):
You can put this solution on YOUR website!Y=mX+b IS THE STANDARD LINE FORMULA WHERE m=SLOPE & b=Y INTERCEPT.
y = -4/3x + 3
HERE WE HAVE A SLOPE m=-4/3
HERE WE HAVE A Y INTERCEPT (b) OF (0,3)
 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -4x/3 +3).
|
Linear-equations/136902: BOBS POPCORN DELIGHT SHOP HAS TWO TYPES OF POPCORN. BUTTER POPCORN SELLS FOR 3.99 FOR A 12OZ BAG AND NON BUTTER POPCORN SELLS FOR 2.99 A 12 0Z BAG. HOW MANY BAGS OF EACH DOES BOB NEED TO MIX TO GET 50 12 OZ BAG TO PRODUCE A MIXTURE OF BOTH POPCORNS THAT SELLS FOR 3.49? ROUND EACH BAG TO THE NEAREST WHOLE NUMBER
1 solutions
Answer 100261 by checkley77(12569) on 2008-04-16 18:04:08 (Show Source):
You can put this solution on YOUR website!(3.99+2.99)/2=3.49
6.98/2=3.49
3.49=3.49
THEREFORE THE AMOUNT NEEDED (50 12 OZ BAGE) IS DIVIED EQUALLY BETWEEN THE 2 TYPES.
25 BAGS EACH.
PROOF
25*3.99+25*2.99=50*3.49
99.75+74.75=174.50
174.50=174.50
|
Money_Word_Problems/136948: Chris has invested $2,300 in two small businesses. Last year, the greeting card business made a 14% profit on his investment in the business, while the bicycle repair business showed a 6% loss. If Chris' net profit from the two businesses was $102, her investment in the greeting card business was $___?
1 solutions
Answer 100256 by checkley77(12569) on 2008-04-16 17:24:33 (Show Source):
You can put this solution on YOUR website!.14X-.06(2300-X)=102
.14X-138+.06X=102
.2X=102+138
.2X=240
X=240/.2
X=1200 INVESTED @ 14%
2300-1200=1100 INVESTED @ 6%
PROOF
.14*1200-.06*1100=102
168-66=102
102=102
|
Polynomials-and-rational-expressions/136976: I have not done algebra in over 10 years and I don't remember any of this stuff. Please help. Explain this to me?
Which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x.
A. -6x squared+25x+ 6
B. 6x squared+5x+6
C. 6xsquared-5x+6
D. 6xsquared-5x-6
E. 6xsquared-13x-6
1 solutions
Answer 100252 by checkley77(12569) on 2008-04-16 17:09:00 (Show Source):
|
Rate-of-work-word-problems/136978: Hi, I was hoping I could get some help...
Sara takes 3 hours longer to paint a floor than it takes Katie. When they work together, it takes them 2 hours.How long would each take to do the job alone?
So far I have
Sara=X+3
Kate=X
(2/X+3 + 2/X = 1) all that multiplied by X(X+3)
But I don't know what to do next, or even if that is right
Thank you for the help
1 solutions
Answer 100250 by checkley77(12569) on 2008-04-16 16:52:04 (Show Source):
You can put this solution on YOUR website!SORRY SORRY SORRY. i MISREAD THE PROBLEM AND USED SARA'S TIME AS 3 TIMES kATIE INSTEAD OF 3 HOURS LONGER.
the formula for working together is:
x*y/(x+y) time working together.
Sara=k+3
Katie=k
K(K+3)/(K+3+K)=2
(K^2+3K)/(2K+3)=2
K^2+3K=2(2K+3)
K^2+3K=4K+6
K^2+3K-4K-6=0
K^2-K-6=0
(K-3)(K+2)
K-3=0
K=3 HOURS FOR KATIE WORKING ALONE.
3+3=6 HOURS FOR SARA WORKING ALONE.
|
Travel_Word_Problems/136979: Please help...
A boat moves 7 kph in still water. It travels 445 km upriver and 45 km downriver in a total time of 14 hours. What is the speed of the current?
All I know is that the distances are equal.
But I don't know how to set up the equation and how to solve it.
Thank you for the help.
1 solutions
Answer 100249 by checkley77(12569) on 2008-04-16 16:44:46 (Show Source):
You can put this solution on YOUR website!d=rt or d/r=t
45/(7+x)+4/(7-x)=14
[45(7-x)+45(7+x)]/(7+x)(7-x)=14
[315-45x+315+45x]/(49-x^2)=14
630/(49-x^2)=14 now cross multiply
14(49-x^2)=630
686-14x^2=630
-14x^2=630-686
-14x^2=-56
x^2=-56/-14
x^2=4
x=sqrt4
x=2 kmph is the speed of the current.
45/(7+2)+45/(7-2)=14
45/9+45/5=14
5+9=14
14=14
|
Travel_Word_Problems/136970: can you solve?
A boat moves 7kph in still water. It ravels 45 km upriver and 45 km downriver in a total time of 14 hours. What is the speed of the current?
I am more interested in the work than the answer so please show me step by step.
Thanks
1 solutions
Answer 100248 by checkley77(12569) on 2008-04-16 16:43:50 (Show Source):
You can put this solution on YOUR website!d=rt or d/r=t
45/(7+x)+4/(7-x)=14
[45(7-x)+45(7+x)]/(7+x)(7-x)=14
[315-45x+315+45x]/(49-x^2)=14
630/(49-x^2)=14 now cross multiply
14(49-x^2)=630
686-14x^2=630
-14x^2=630-686
-14x^2=-56
x^2=-56/-14
x^2=4
x=sqrt4
x=2 kmph is the speed of the current.
45/(7+2)+45/(7-2)=14
45/9+45/5=14
5+9=14
14=14
|
Quadratic_Equations/136971: Find the intercepts to graph the equation.
5x-2y=10
Please help me.
1 solutions
Answer 100247 by checkley77(12569) on 2008-04-16 16:28:30 (Show Source):
You can put this solution on YOUR website!5x-2y=10
-2y=-5x=10
y=-5x/-2+10/-2
y=5x/2-5
setting x=0 & solve for y
y=5*0/2-5
y=-5 the y intercept (0,-5)
setting y=0 & solve for x
0=5x/2-5
5x/2=5
5x=2*5
5x=10
x=10/5
x=2 the x intercept(2,0)
 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 5x/2 -5).
|
Polynomials-and-rational-expressions/136956: I need help on how to figure this out:
To determine the number of deer in a game preserve, a conservationist catches 804 deer, tags them and lets them loose. Later, 549 deer are caught; 183 of them are tagged. How many deer are in the preserve? Please help
1 solutions
Answer 100232 by checkley77(12569) on 2008-04-16 14:19:40 (Show Source):
|
Triangles/136957: Please help! I need to find the length of the base of a triangle in which the base of said triangle is 3 times its height with an area of 216 Cm2.
Thanks.
1 solutions
Answer 100231 by checkley77(12569) on 2008-04-16 14:15:19 (Show Source):
You can put this solution on YOUR website!B=3H
FORMULA FOR THE AREA OF A TRIANGLRE IS :
AREA=BH/2 OR
216=3H*H/2
216=3H^2/2
3H^2=2*216
3H^2=432
H^2=432/3
H^2=144
H=SQRT144
H=12 ANSWER FOR THE HEIGHT.
B=3*12=36 ANSWER FOR THE BASE.
PROOF:
216=3*12*12/2
216=216
|
Matrices-and-determiminant/136787: IF g(x)= 2x^2- 2x-4 , FIND THE FOLLOWING
C) g(x-2)
i understand simple ones but this one is a little tuffer for me because of the x i have to use...
please help lj23kfuller@yahoo.com
thank you!!!
1 solutions
Answer 100174 by checkley77(12569) on 2008-04-15 19:48:01 (Show Source):
You can put this solution on YOUR website!g(x)= 2x^2- 2x-4 , FIND THE FOLLOWING)
g(x-2)
JUST REPLACE X BY(X-2) & SOLVE THUS:
G(X-2)=2(X-2)^2-2(X-2)-4
G(X-2)=2(X^2-4X+4)-2X+4-4
G(X-2)=2X^-8X+8-2X
G(X-2)=2X^2-10X+8
G(X-2)=2(X^2-5X+4)
G(X-2)=2(X-4)(X-1)
|
Linear_Equations_And_Systems_Word_Problems/136857: BOBS POPCORN DELIGHT SHOP HAS TWO TYPES OF POPCORN. BUTTER POPCORN SELLS FOR 3.99 FOR A 12OZ BAG AND NON BUTTER POPCORN SELLS FOR 2.99 A 12 0Z BAG. HOW MANY BAGS OF EACH DOES BOB NEED TO MIX TO GET 50 12 OZ BAG TO PRODUCE A MIXTURE OF BOTH POPCORNS THAT SELLS FOR 2.49? ROUND EACH BAG TO THE NEAREST WHOLE NUMBER
1 solutions
Answer 100162 by checkley77(12569) on 2008-04-15 19:08:01 (Show Source):
You can put this solution on YOUR website!ARE YOU SURE YOU HAVE THE CORRECT DATA FOR THIS PROBLEM?>
YOU CANNOT MIX $2.99 & $3.99 POPCORN & GET A MIX WORTH $2.49.
THE COST OF ANY MIX MUST BE PRICED BETWEEN $2.99 & $3.99.
$2.49 DOES NOT FIT ANY SOLUTION.
|
Equations/136861: PROBLEM:
DAVE IS FLYING FROM PHILADELPHIA TO CHICAGO. ON THE FLIGHT, FLYING AGAINST THE WIND, THE 780 MILE TRIP TAKES 2 HOURS. THE RETURN TRIP, WITH THE WIND TAKES 1.5 HOURS. FIND THE SPEED OF THE WIND AND FIND THE SPEED OF THE PLANE IN STILL AIR.
PLEASE HELP I DONT EVEN KNOW WHERE TO BEGIN THANKS!!
1 solutions
Answer 100161 by checkley77(12569) on 2008-04-15 18:58:19 (Show Source):
You can put this solution on YOUR website!780/2=390 MPH AGAINST THE WIND
780/1.5=520 MPH WITH THE WIND
(520-390)/2=130/2=65 MPH FOR THE WIND SPED.
PROOF:
520-65=390+65
455=455 THIS IS THE SPEED OF THE PLANE IN STILL AIR.
|
Equations/136864: PROBLEM:
DAVE IS FLYING FROM PHILADELPHIA TO CHICAGO. ON THE FLIGHT, FLYING AGAINST THE WIND, THE 780 MILE TRIP TAKES 2 HOURS. THE RETURN TRIP, WITH THE WIND TAKES 1.5 HOURS. FIND THE SPEED OF THE WIND AND FIND THE SPEED OF THE PLANE IN STILL AIR.
PLEASE HELP I DONT EVEN KNOW WHERE TO BEGIN THANKS!!
1 solutions
Answer 100159 by checkley77(12569) on 2008-04-15 18:57:09 (Show Source):
You can put this solution on YOUR website!780/2=390 MPH AGAINST THE WIND
780/1.5=520 MPH WITH THE WIND
(520-390)/2=130/2=65 MPH FOR THE WIND SPED.
PROOF:
520-65=390+65
455=455 THIS IS THE SPEED OF THE PLANE IN STILL AIR.
|
|
