New!
Get regular updates about newly solved problems
via algebra.com's RSS system.
Recent problems solved by 'checkley75'
checkley75 answered: 3664 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, >>NextMiscellaneous_Word_Problems/88809: Three oranges cost half of what nine apples cost. If one orange and one apple together cost 30 cents how much does one orange cost.
This question is not from a textbook-the instructor gave it to us.
A+O=.30 THEN A=.30-O
3O=9A/2
3O=9(.30-O)/2
3O=(2.7-9O)/2
3O=(2.7-9O)/2
6O=2.7-9O
60+9O=2.7
15O=2.7
O=2.7/15
O=.18 FOR EACH ORANGE.
A=30-18
A=12.
PROOF
3*.18=9*.12/2
.54=1.08/2
.54=.54
1 solutions
Answer 64534 by checkley75(3666) on 2007-07-17 15:58:37 (Show Source):
You can put this solution on YOUR website!A+O=.30 THEN A=.30-O
3O=9A/2
3O=9(.30-O)/2
3O=(2.7-9O)/2
3O=(2.7-9O)/2
6O=2.7-9O
60+9O=2.7
15O=2.7
O=2.7/15
O=.18 FOR EACH ORANGE.
A=30-18
A=12.
PROOF
3*.18=9*.12/2
.54=1.08/2
.54=.54
|
Percentage-and-ratio-word-problems/88814: I need help on this problem for my summer honors work. A baseball park has 40,000 seats of which 13,040 are box seats and 18,200 are reserved seats. What percent of the seats are box seats? Reserved seats? I already tried to put 40,000 times X%=13,040 but it gave me the wrong answer so if you could help me i would greatly appreciate it, thank you. 1 solutions
Answer 64530 by checkley75(3666) on 2007-07-17 15:35:53 (Show Source):
|
test/88750: write the equation of the line passing through each of the given pairs of points. Write your results in slope intercept form where possible.
#20 is: (-1,3) and (4,-2)
#24 is: (2,-3) and (2,4)
Thanks! 1 solutions
Answer 64517 by checkley75(3666) on 2007-07-17 10:27:32 (Show Source):
You can put this solution on YOUR website!20) SLOPE=(-2-3)/(4+1)=-5/5=-1
NOW SUBSTITUTE 1 SET OF POINTS & SOLVE FOR THE Y INTERCEPT.
3=-1*1+b
3=-1+b
b=3+1
b=4
Y=X+4 ANSWER.
----------------------------------------------------------
24) SLOPE=(4+3)/(2-2)=7/0 THIS REPRESENTS A VERTICLE LINE THROUGH X=2
THUS THE EQUATION IS X=2.
|
Equations/88758: A=3B(2+D) MAKE D THE SUBJECT OF THE FORMULA
(X-2)(3X-X)=
CAN YOU PLEASE ANSWER THESE TWO 1 solutions
Answer 64513 by checkley75(3666) on 2007-07-17 09:53:44 (Show Source):
You can put this solution on YOUR website!A=3B(2+D)
A=6B+3BD
3BD=A-6B [SORRY I MISTAKENLY SUBSTITUTED 1 FOR "A". A TYPO]
D=(A-6B)/3B
-----------------------------------------------
(X-2)(3X-X)=(X-2)(2X)=2X^2-4X
|
Mixture_Word_Problems/77863: martina leaves home at 9am, bicycling at a rate of 24mi/h. Two hours later, john leaves, driving at the rate of 48 mi/h. at what time will john catch up with martina? 1 solutions
Answer 64456 by checkley75(3666) on 2007-07-16 19:31:46 (Show Source):
|
Travel_Word_Problems/88688: At 2:00 p.m. two cars start toward each other from towns 240 miles apart. If the rate of one car is 10 mph faster than the other, how fast does each car go,of they meet at 5:00p.m.? 1 solutions
Answer 64454 by checkley75(3666) on 2007-07-16 19:17:33 (Show Source):
You can put this solution on YOUR website!THEY MEET AFTER THREE HOURS FROM THE START & EACH TRAVEL FOR 3 HOURS. ONE TRAXELS @ X MPH & THE OTHER @ (X+10) MPH.
240=3X+3(X+10)
240=3X+3X+30
6X=240-30
6X=210
X=210/6
X=35 MPH FOR THE SLOWER CAR.
35+10=45 MPH FOR THE FASTER CAR.
PROOF
240=3*35+3*45
240=105+135
240=240
|
Mixture_Word_Problems/88659: Pool problems:
A) Directions say to add 1 gallon of algae guard for every 50,000 gallons of water for the initial application. My pool currently contains 3,800 gallons. How much algae guard do I need to apply for the initial treatment of the pool in ounces?
B) Second part of instrutions say to add 1 quart per 10,000 gallons every 3-5 days. How much algae guard do I add to my pool every 3-5 days in ounces? 1 solutions
Answer 64453 by checkley75(3666) on 2007-07-16 19:11:40 (Show Source):
You can put this solution on YOUR website!SET UP A PAIR OF FRACTION SHOWING THE RELATIONSHIP OF BOTH MIXES THUS:
1/50000=X/3800 NOW WE CROSS MULTIPLY.
50000X=3800
X=3800/50000
X=.076 GALLONS ARE NEEDED. .076*8=.608 LBS. .608*16=9.728 OZ.
--------------------------------------------
1/10000=X/3800
10000X=3800
X=3800/10000
X=.38 QUARTS. .38*32=12.16 OUNCES.
|
Coordinate-system/88677: Graph the following equations and determine the solutions, if there are any
y= 3x squared + 3x - 6
I don't remenber how to do it! 1 solutions
Answer 64449 by checkley75(3666) on 2007-07-16 18:39:22 (Show Source):
You can put this solution on YOUR website!Y=3X^2+3X+6 YOU SOLVE THIS BY SETTING X=0,1,-1,2,-2,3,-3,4,-4,5,-5 ETC. & SOLVE FOR Y. THEN PLOT THE PAIR OF POINTS.
IF DONE CORRECTLY YOU SHOULD GET THE GRAPH THAT FOLLOWS:
 (graph 300x400 pixels, x from -6 to 5, y from -10 to 20, y = 3x^2 +3x +6).
|
Linear-systems/88662: This question is from textbook Intermediate algebra
I tried to work the problem and couldn't come up with the same answer that the book has. I just want to know how to work the problem so that I can get the right answer. The book has the answer as (4,3), and I don't understand how it was gotten. Here is the problem, 3x-2y=6 over y=3 the instructions say to solve by graphing. 1 solutions
Answer 64447 by checkley75(3666) on 2007-07-16 18:28:42 (Show Source):
You can put this solution on YOUR website!FIRST WE NEED TO PUT THESE EQUATION INTO THE LINE EQUATION FORM Y=mX+b WHERE (m)=SLOPE & (b)= Y INTERCEPT.
3X-2Y=6
-2Y=-3X+6
Y=-3X/-2+6/-2
Y=3X/2-3 (RED LINE)
Y=3 (GREEN LINE)
 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = 3x/2 -3 and y = 3).
NOTE: THE INTERSECTION OF THESE 2 LINES IS (4,3) WHICH IS THE SOLUTION.
|
real-numbers/88666: 1/3+(-5/6) + (-1/2) =?
{-27+14}=?
-1/2-(5/8)=?
-3.4-(7.6)=?
1 solutions
Answer 64446 by checkley75(3666) on 2007-07-16 18:20:46 (Show Source):
You can put this solution on YOUR website!1/3+(-5/6)+(-1/2)=1/3-5/6-1/2
now we need to find a common denominator for 3,6 & 2. 6 is the LCD.
(1*2-5-3*1)/6=(2-5-3)/6=-6/6=-1
-----------------------------------------------
-27+14=-13
-------------------------------------------------
-1/2-5/8 the common denominator hjere is 8
(-1*4-5)/8=(-4-5)/8=-9/8=-1 1/8
-------------------------------------------------
-3.4-7.6=-11
|
Functions/88549: 5/2x+3=1/x-6 1 solutions
Answer 64386 by checkley75(3666) on 2007-07-15 20:40:53 (Show Source):
You can put this solution on YOUR website!5/(2x+3)=1/(x-6) if this is what you have? Then we need to cross multiply.
2x+3=5(x-6)
2x+3=5x-30
2x-5x=-3-30
-3x=-33
x=-33/-3
x=11 answer.
proof:
5/(2*11+3)=1/(11-6)
5/(22+3)=1/5
5/25=1/5 again cross multiply:
25=25
-------------------------------------------------------
HOWEVER: IF YOU HAVE
(5/2X)+3=(1/X)-6 THEN WE HAVE A TOTALLY DIFFERENT PROBLEM. tHUS:
(5/2X)-(1/X)=-3-6
(5-2*1)/2X=-9
(5-2)/2X=-9
3/2X=-9 NOW WE CROSS MULTIPLY:
-18X=3
X=3/-18
X=-1/6 ANSWER.
|
Mixture_Word_Problems/88548: The number N of guests that arrive at a mall food court each hour can be approximated by N = -12x2 + 110x + 35, where x is the number of hours after 11:00 a.m. At what times, to the nearest minute, are 200 guests per hour arriving at the food court?
1 solutions
Answer 64385 by checkley75(3666) on 2007-07-15 20:28:21 (Show Source):
You can put this solution on YOUR website!200=-12x^2+110x+35
-12x^2+110x+35-200=0
12x^2-110x+165=0
using the quadratic equation  we get:
x=(110+-sqrt[110^2-4*12*165])/2*12
x=(110+-sqrt[12100-7920])/24
x=(110+-sqrt4180)/24
x=(110+-64.65)/24
x=(110+64.65)/24
x=174.65/24
x=7.28 hours or 7 hours & 17 minutes after 11:00 am. is one answer.
x=(110-64.65)/24
x=45.35/24
x=1.9 or 1 hour & 54 minutes after 11:00 am is the other answer.
|
Linear-systems/88547: The graph of y = 2x + 7 is:
A.The same as the graph of y = 2x moved to the right 7 on the x axis
B.The same as the graph of y = 2x moved to the left 7 on the x axis
C.The same as the graph of y = 2x moved up 7 on the y axis.
D.The same as the graph of y = 2x moved down 7 on the y axis.
1 solutions
Answer 64384 by checkley75(3666) on 2007-07-15 20:16:19 (Show Source):
You can put this solution on YOUR website!y=2x+7 (red line)
y=2x (green line
 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = 2x +7 and y = 2x).
It would appear from the 2 graphs that the line is moved up the y axix 7 places. Thus answer C) is correct.
|
Rational-functions/88204: Please help me with this question: Find the LCD for this rational expression and convert the rational expression int an equivalent rational expression with the LCD as the denominator:
__4___ ___5x___
x-y’ 2y-2x
1 solutions
Answer 64361 by checkley75(3666) on 2007-07-15 16:57:55 (Show Source):
|
Rectangles/88513: The length of a rectangle is 5in. more than twice its width. If the perimeter of the rectangle is 52 in., find the width of the rectangle. 1 solutions
Answer 64358 by checkley75(3666) on 2007-07-15 16:44:57 (Show Source):
You can put this solution on YOUR website!LENGTH=(2W+5)
2L+2W=52
2(2W+5)+2W=52
4W+10+2W=52
6W=52-10
6W=42
W=42/6
W=7 INCHES IS THE WIDTH.
PROOF
2(2*7+5)+2*7=52
2(14+5)+14=52
2*19+14=52
38+14=52
52=52
|
|