New!
Get regular updates about newly solved problems
via algebra.com's RSS system.
Recent problems solved by 'funmath'
funmath answered: 2925 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, >>Next
Inequalities/61459: Help, its going for midnight and We are clueless on this
6< x -6<_ 8
I cant find the right keys but its 6 isd less than x minus 6 less than or equal to 8
1 solutions
Answer 42281 by funmath(2925)   on 2006-11-14 20:25:24 (Show Source):
|
Rational-functions/61457: we have to do long division and show our work i've done some but I think i might of messed up:
problem: x(to third) + x(squared) -4x - 4 divided by x+2
1 solutions
Answer 42277 by funmath(2925) on 2006-11-14 20:15:45 (Show Source):
You can put this solution on YOUR website!we have to do long division and show our work i've done some but I think i might of messed up:
problem: x(to third) + x(squared) -4x - 4 divided by x+2
I am limited in my ability to show you long division by Java Script, but this one can be solved without long division.
(x+1)(x-2)
:
Happy Calculating!!!
|
Linear-equations/61449: How do you find the slope of a line through (1,3) and (-2,5)
Also, how do you find the slope of a parallel line passing (1,5) and (-1,0)
1 solutions
Answer 42272 by funmath(2925) on 2006-11-14 19:46:49 (Show Source):
You can put this solution on YOUR website!How do you find the slope of a line through (1,3) and (-2,5)
The slope formula is:  , m=slope and (x1,y1) and (x2,y2) are given points.
(x1,y1)=(1,3) and (x2,y2)=(-2,5)
:
Also, how do you find the slope of a parallel line passing (1,5) and (-1,0)
Parallel lines have equal slopes, so use the slope formula to find the slope between these two points and it will be the same as the line parallel to this one.
(x1,y1)=(1,5) and (x2,y2)=(-1,0)
:
Happy Calculating!!!
|
Pythagorean-theorem/61445: A right triangle has legs of lengths 6 and 8. the altitude to the hypotenuse has length BLANK.
1 solutions
Answer 42270 by funmath(2925) on 2006-11-14 19:39:03 (Show Source):
You can put this solution on YOUR website!A right triangle has legs of lengths 6 and 8. the altitude to the hypotenuse has length BLANK.
:
If I'm understanding you correctly, you are trying to find the length of the hypotenuse of a right triangle. We can use the pythagorean theorem to find that:  , c=hypotenuse, a,b=legs
:
Happy Calculating!!!
|
Linear-equations/61440: How do you graph a line that has a slope of -3 and passes through (0,3)?
1 solutions
Answer 42269 by funmath(2925) on 2006-11-14 19:33:27 (Show Source):
You can put this solution on YOUR website!How do you graph a line that has a slope of -3 and passes through (0,3)?
:
Plot the y-intercept (0,3), it's up 3 on the y-axis.
 , go down 3 and right 1 and plot a second point on what should be (1,0).
Connect the points and you have a line that looks like:
Happy Calculating!!!
|
Linear_Equations_And_Systems_Word_Problems/61431: This question is from textbook INTRODUCTORY ALGEBRA
You purchase a prepaid telephone card. The card costs $12.00. Each minute you
use costs $0.30.
a)Determine the slope of the line that models these points.
b)Find the equation of the line for this graph.
1 solutions
Answer 42267 by funmath(2925) on 2006-11-14 19:18:51 (Show Source):
You can put this solution on YOUR website!You purchase a prepaid telephone card. The card costs $12.00. Each minute you
use costs $0.30.
a)Determine the slope of the line that models these points.
The variable cost is the slope, m=.30
b)Find the equation of the line for this graph.
The fixed cost is, b=12
The slope intercept form of a line is 
y=.30x+12
:
Happy Calculating!!!
|
Numeric_Fractions/61412: 2/5 divided by 1/5 multiplied by {-5-(-1)-2}. I can't figure out how to do the problem.
1 solutions
Answer 42262 by funmath(2925) on 2006-11-14 17:57:57 (Show Source):
You can put this solution on YOUR website!2/5 divided by 1/5 multiplied by {-5-(-1)-2}
2/5 divided by 1/5 {-5+1-2} Parentheses first
2/5 divided by 1/5 (-6) Multiply and divide left to right. (Flip the number fraction behind the division symbol and multiply.)
Happy Calculating!!!
|
Numeric_Fractions/61410: How could I possibly solve these? I've heard there is a "long way" and a "short way"
v - 6 = 23
2T + 5T - 3 = 11
X + 9 = 21
-
4
1 solutions
Answer 42260 by funmath(2925) on 2006-11-14 17:46:31 (Show Source):
You can put this solution on YOUR website!v - 6 = 23
v-6+6=23+6
v=29
:
Check does the equation = when v=29?
29-6=23
23=23 We're right!!!
:
2T + 5T - 3 = 11
7T-3=11
7T-3+3=11+3
7T=14
7T/7=14/7
T=2
:
Check does the equation = when T=2?
2(2)+5(2)-3=11
4+10-3=11
11=11 We're right again!!!
:
:
Check does the equation = when x=48?
12+9=21
21=21 We're right agian!!!
:
Don't try and do short cuts until you have the basics down, otherwise, when the problems get harder, you won't be able to do them and you'll get behind quickly.
Happy Calculating!!!
|
Numbers_Word_Problems/61402: This question is from textbook An Incremental Development
Find three consecutive odd integers such that three times the sum of the first and third is 18 greater than 4 times the second
1 solutions
Answer 42259 by funmath(2925) on 2006-11-14 17:37:44 (Show Source):
You can put this solution on YOUR website!Find three consecutive odd integers such that three times the sum of the first and third is 18 greater than 4 times the second
Odd numbers are 2 apart from each other:
1,3,5,7...
1,1+2,1+2+2,1+2+2+2
:
Let the first number be: x
Then the second will be: x+2
Then the third will be:x+2+2=x+4
"3 times" means 3*
"sum" means +
"is" means =
"18 greater" means +18
"4 times" means 4*
:
3(x+x+4)=4(x+2)+18
3(2x+4)=4x+8+18
6x+12=4x+26
6x-4x+12=4x-4x+26
2x+12=26
2x+12-12=26-12
2x=14
2x/2=14/2
x=7
The first number is: x=7
The second number is: x+2=7+2=9
The third number is: x+4=7+4=11
:
Sanity Check, does 3 times the sum of the first and third number=4 time the second +18?
3(7+11)=4(9)+18
3(18)=36+18
54=54 Looks valid.
:
Happy Calculating!!!
|
Numbers_Word_Problems/61408: Find the constant term that should be added to make the following expression a perfect-square trinomial.
x^2-5x
I got:
5/2
Is this right?
Thanks for your help!
CH
1 solutions
Answer 42258 by funmath(2925) on 2006-11-14 17:26:14 (Show Source):
You can put this solution on YOUR website!Hi CH,
You're almost right.
Find the constant term that should be added to make the following expression a perfect-square trinomial.
x^2-5x
:
Happy Calculating!!!
|
Angles/61401: This question is from textbook An Incremental Development
If P is the measure of an angle, 180 - p is the measure of the supplemen of the angle. If the measure of an angle equals three times the measure of its supplement, what is the measure of the angle?
1 solutions
Answer 42257 by funmath(2925) on 2006-11-14 17:08:51 (Show Source):
You can put this solution on YOUR website!If P is the measure of an angle, 180 - p is the measure of the supplemen of the angle. If the measure of an angle equals three times the measure of its supplement, what is the measure of the angle?
Let the supplement be: x
Then the angle is: 3x
Total when added: 180
x+3x=180
4x=180
4x/4=180/4
x=45
The supplement is: x=45 degrees
The angle is: 3x=3(45)=135 degrees.
:
Sanity Check: If you add these two angles together, do you get 180?
45+135=180?
180=180!!! Looks Valid.
Happy Calculating!!!
|
Equations/61397: This question is from textbook An Incremental Development
solve
0.004x + 0.5 = 3.05
1 solutions
Answer 42255 by funmath(2925) on 2006-11-14 16:51:49 (Show Source):
You can put this solution on YOUR website!solve
0.004x + 0.5 = 3.05
If you absolutely hate decimals, multiply everything by 1000 to clear the decimals.
1000(0.004x+0.5)=1000(3.05)
4x+500=3050
4x+500-500=3050-500
4x=2550
4x/4=2550/4
:
If decimals don't bother you too much:
0.004x+0.5-0.5=3.05-0.5
0.004x=2.55
0.004x/0.004=2.55/0.004
:
Happy Calculating!!!
|
Evaluation_Word_Problems/61357: ISBN 1 902 214 13X - Essential Mathematics Book 8 - David Rayner
The height of a balloon increases at a steady rate of x metres in t hours. How far will the balloon rise in one hour? How far will the balloon rise in 4 hours?
1 solutions
Answer 42229 by funmath(2925) on 2006-11-14 14:53:38 (Show Source):
You can put this solution on YOUR website!The height of a balloon increases at a steady rate of x metres in t hours. How far will the balloon rise in one hour? How far will the balloon rise in 4 hours?
h=xt
In one hour:
h=x(1)
h=x meters
In 4 hours:
h=x(4)
h=4x meters
:
Happy Calculating!!!
|
Travel_Word_Problems/61354: A river boat can head 340 miles up-river in 19 hours, but the return trip takes only 14 hours. Find the current of the river and find the speed of the ship in still water to the nearest tenth of a mph.
(Should X equal the speed of the ship? Or the current of the river? Or both?) Okay I am stuck any help would be greatly appreciated. Thank-You.
1 solutions
Answer 42228 by funmath(2925) on 2006-11-14 14:50:41 (Show Source):
You can put this solution on YOUR website!A river boat can head 340 miles up-river in 19 hours, but the return trip takes only 14 hours. Find the current of the river and find the speed of the ship in still water to the nearest tenth of a mph.
:
The distance formula is:  , d=distance, r=rate, t=time
:
Let x=speed of the boat
let c=speed of the current
:
The rate upstream is: x-c
time upstream is: 19 hrs
The rate down stream is: x+c
time downstream is: 14
Distance for both is: 340 mi
:
The equation for upstream is:
19(x-c)=340
The equation for down stream is:
14(x+c)=340
:
Solve one of the equations for c and substitute it into the other and solve for x.
19x-19c=340
-19x+19x-19c=-19x+340
-19c=-19x+340
:
The boat would be going 21.1 mph in still water.
Happy Calculating!!!
|
|
