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Recent problems solved by 'amoresroy'
amoresroy answered: 333 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, >>NextPythagorean-theorem/647644: a man travels 7 km due north and than travels 3 km due east and than travels 3 km due south. how far is he from the starting point ?
Let x = distance from starting point
x^2 = (7-3)^2 + 3^2
x^2 = 25
x= 5
1 solutions
Answer 406323 by amoresroy(333)   on 2012-09-08 07:22:07 (Show Source):
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Numbers_Word_Problems/478485: find two consecutive even numbers if the sum of their squares is 100.
1 solutions
Answer 327839 by amoresroy(333) on 2011-08-06 08:24:48 (Show Source):
You can put this solution on YOUR website!Let x = the first even number
x + 2= the second even number
x^2 + (x+2)^2 = 100
x^2 + x^2 + 4x +4 = 100
2x^2 + 4x -96 = 0
Divide by 2 to get
x^2 + 2x -48 = 0
Solve for x by factoring
(x-6)(x+8)= 0
x = 6
x+2 = 8
The two consecutive even numbers are 6 and 8.
To check
6*6 + 8*8 = 36 + 64 = 100
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Age_Word_Problems/477765: rita's age is 3 times anna's. when anna is twice as old as she is now, rita's age will only be twice anna's. how old is each now?
1 solutions
Answer 327378 by amoresroy(333) on 2011-08-04 08:01:06 (Show Source):
You can put this solution on YOUR website!rita's age is 3 times anna's. when anna is twice as old as she is now, rita's age will only be twice anna's. how old is each now?
Let A = Anna's age
3A = Rita's age
2A = age of Ana A years from now
3A + A = Rita's age when Ana's age is twice as old as she is now
= 2(2A)
4A = 4A
A can be any positive number.
Meaning:
When Ana is 1 year old, Rita is 3 years old.
When Ana is 5 years old, Rita is 15 years old.
When Ana is 10 years old, Rita is 30 years old.
...and so on.
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Angles/477776: two angles are supplementary if one is 30° less then four times the other , find the angles
1 solutions
Answer 327375 by amoresroy(333) on 2011-08-04 07:44:11 (Show Source):
You can put this solution on YOUR website!two angles are supplementary if one is 30° less then four times the other , find the angles
Let x = the 1st angle
180-x = the 2nd angle
x = 4(180-x) - 30
x = 720 - 4x - 30
5x= 690
x = 138
180-x = 180-138 = 42
The angles are 138 and 42.
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percentage/477427: Im goin to get my daughters ears pierced and they cost $40.00 and i get a 30% percent discount, how much would it be?
1 solutions
Answer 327231 by amoresroy(333) on 2011-08-03 09:10:41 (Show Source):
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Travel_Word_Problems/475338: Train A, traveling 70 kilometers per hour (Kph), leaves West heading toward East, 260 miles away. At the same time Train B, traveling 60 mph, leaves East heading toward West.
I. When do the Two trains meet?
II. How far from each city do they meet?
1 solutions
Answer 325973 by amoresroy(333) on 2011-07-28 08:14:12 (Show Source):
You can put this solution on YOUR website!Train A, traveling 70 kilometers per hour (Kph), leaves West heading toward East, 260 miles away. At the same time Train B, traveling 60 mph, leaves East heading toward West.
I. When do the Two trains meet?
II. How far from each city do they meet?
Let x = the number of hours the 2 trains meet after leaving point of origin
x(70+60)= 260
x = 260/130
x = 2
Let d = distance from west where the 2 trains will meet
260-d = distance from east where the 2 trains will meet
d = 70(2)
d = 140 miles(distance from west)
260-d = 260-140 = 120 miles (distance from east)
Answer:
I. The two trains will meet after 2 hours
II. They meet 140 miles from West and 120 miles from East
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Permutations/474091: How many license plates can be made of the form XX-YYYYY, where X is a letter of the alphabet and Y is a numeral 0-9?
1 solutions
Answer 325154 by amoresroy(333) on 2011-07-25 11:28:54 (Show Source):
You can put this solution on YOUR website!How many license plates can be made of the form XX-YYYYY, where X is a letter of the alphabet and Y is a numeral 0-9?
No. of license plates = 26^2 * 10^5
= 67,600,000
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Graphs/473179: Two persons are to run a race, but one can run 10 meters per second, whereas the other can run 6 meters per second. If the slower runner has a 70-meter head start, how long will it be before the faster runner catches the slower runner, if they begin at the same time?
1 solutions
Answer 324478 by amoresroy(333) on 2011-07-22 16:36:54 (Show Source):
You can put this solution on YOUR website!Two persons are to run a race, but one can run 10 meters per second, whereas the other can run 6 meters per second. If the slower runner has a 70-meter head start, how long will it be before the faster runner catches the slower runner, if they begin at the same time?
Let x = the number of seconds it will take the faster runner to catch up with the slower runner
Take note that for the faster runner to catch up with the slower runner, his total distance should be equal to 70 meters plus distance traveled by the slower runner.
From the formula of distance (distance = speed times time),the equation should be:
10 x = 70 + 6x
10x-6x = 70
x = 70/4
x = 17.5
It will take 17.5 seconds for the faster runner to catch up with the slower runner.
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test/473170: How do you know when to add
1 solutions
Answer 324474 by amoresroy(333) on 2011-07-22 16:26:36 (Show Source):
You can put this solution on YOUR website!How do you know when to add
The key to solving any math problem is to fully comprehend and understand the given problem. Once you understand the problem, it is easy to determine when you need to add, subtract, multiply, or divide.
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Rate-of-work-word-problems/471832: A cold water faucet can fill a sink within 12 minutes and a hot water faucet can fill it in 15 minutes. The drain can empty the sink in 25 minutes. If both faucets are on and the drain is open, how long will it take to fill the sink?
1 solutions
Answer 323558 by amoresroy(333) on 2011-07-19 08:54:22 (Show Source):
You can put this solution on YOUR website!Let t = the number of minutes it will take to fill the sink
t(1/12 + 1/15 - 1/25) = 1
t (25/300 + 20/300 - 12/300) = 1
33t/300 = 1
t = 300/33
t = 9.09 mins
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Numbers_Word_Problems/471814: The sum of3 consecutive#s is 72 wht are the smallest of these numbers ?not sure how 2 start
1 solutions
Answer 323555 by amoresroy(333) on 2011-07-19 08:42:58 (Show Source):
You can put this solution on YOUR website!Let x = the smallest number
x+1 = the 2nd biggest number
x+2 = the biggest number
The sum of the 3 consecutive numbers = x + (x+1) + (x+2) = 72
3x + 3 = 72
3x = 72-3
3x = 69
x = 23
To check
23+24+25 = 72
The smallest of these numbers is 23.
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Numbers_Word_Problems/469493: Find three consecutive multiples of 6 such that the sum of the squares of the the first two is 180 greater than the square of the third. I mostly need to know how to set this question up, but any help would be great.
1 solutions
Answer 322120 by amoresroy(333) on 2011-07-12 09:40:40 (Show Source):
You can put this solution on YOUR website!Find three consecutive multiples of 6 such that the sum of the squares of the the first two is 180 greater than the square of the third. I mostly need to know how to set this question up, but any help would be great.
Let 6x = the 1st number
6(x+1) = the 2nd number = 6x+6
6(x+2) = the 3rd number = 6x+12
(6x)^2 + (6x+6)^2 = (6x+12)^2 +180
Solve for x
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Linear-systems/469501: two executive in cities 300 mi apart drive to a business meeting at a location between their cities. they met after 4 hours. find the speed of each car if one travels 20 miles per hour faster than the other
1 solutions
Answer 322115 by amoresroy(333) on 2011-07-12 09:35:25 (Show Source):
You can put this solution on YOUR website!Let x = speed of slower car
x+20 = speed of faster car
4(x +x+20) = 300
8x + 80 = 300
8x = 220
x = 27.5
x+20 = 27.5+20 = 47.5
The speed of each car is 27.5mph and 47.5 mph.
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Miscellaneous_Word_Problems/467531: Find two consecutive even intergers such that the smaller added to five times the larger gives the sum of 82
1 solutions
Answer 320802 by amoresroy(333) on 2011-07-06 06:52:29 (Show Source):
You can put this solution on YOUR website!Find two consecutive even intergers such that the smaller added to five times the larger gives the sum of 82
Let x = the smaller even integer
x+2 = the larger even integer
5(x+2) + x = 82
5x+10 + x = 82
6x = 72
x = 12 (the smaller integer)
x+2 = 12+2 = 14 (the larger integer)
The two consecutive even integers are 12 and 14.
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Numbers_Word_Problems/467521: find two consecutive odd integers if the sum of their squares is 290
1 solutions
Answer 320792 by amoresroy(333) on 2011-07-06 05:19:51 (Show Source):
You can put this solution on YOUR website!find two consecutive odd integers if the sum of their squares is 290
Let x = the smaller odd integer
x+2 = the larger odd integer
x^2 + (x+2)^2 = 290
x^2 + x^2 + 4x + 4 = 290
2x^2 + 4x - 286 = 0
x^2 + 2x - 143 = 0
Solve by factoring
(x+13)(x-11) = 0
x-11 = 0
x = 11
x+2 = 11+2 = 13
The two consecutive odd integers are 11 and 13.
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Angles/466716: Two angles are supplementary. The measure of the smaller angle is one- half of the measure of the greater angle. Find the measure of the greater angle.
1 solutions
Answer 319991 by amoresroy(333) on 2011-07-03 06:20:13 (Show Source):
You can put this solution on YOUR website!Let x = the measure of the smaller angle
180-x = the measure of the greater angle
x = (1/2)(180-x)
2x = 180 - x
3x = 180
x = 60
Greater angle = 180 - x = 180 - 60 = 120
The measure of the greater angle is 120 degrees.
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Angles/466036: Find the measure of an angle who supplement measures 39 more than twice its complement.
Like to know if I am setting up the equation properly?
Angle = x
Supplement = 180-x
Complement = 90-x
180-x = 2(90-x)+39
180 = 219
x= 39
Can I also say the supplement is 141 degrees and the complement is 56 degrees even though the problem is not requesting to find them?
1 solutions
Answer 319401 by amoresroy(333) on 2011-06-30 11:47:29 (Show Source):
You can put this solution on YOUR website!Yes, you are setting up the equation right.
Just a minor correction...
x - 180 = 219
x = 39
The supplement is 141 degrees and the complement is 51 degrees.
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test/466024: Twenty-five percent of 88 is the same as what percent of 22?
1 solutions
Answer 319391 by amoresroy(333) on 2011-06-30 11:22:34 (Show Source):
You can put this solution on YOUR website!Twenty-five percent of 88 is the same as what percent of 22?
Let x = the answer in %
22x = 25 * 88
x = 2200/22
x = 100
Twenty-five percent of 88 is the same as 100% of 22.
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Rectangles/465604: The length of a rectangle is 15 cm longer than the width. when its width is increased by 3 cm and its length decreased by 5 cm. the area of the new rectangle is 20cm2 bigger than the original. find the original dimension of the rectangle.
1 solutions
Answer 319038 by amoresroy(333) on 2011-06-29 07:43:57 (Show Source):
You can put this solution on YOUR website!Let x = width of the rectangle
x + 15= the length of the rectangle
(x+3)(x+15-5) = x(x+15) + 20
x^2+10x+3x+30 = x^2+15x+20
30-20 = 15x-10x-3x
2x = 10
x = 5
x+15 = 5+15 = 20
The dimension of original rectangle are:
width = 5 cm.
length = 20 cm.
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Geometry_Word_Problems/464763: if the complemnt of an angle is one third of its supplement.find the angles
1 solutions
Answer 318434 by amoresroy(333) on 2011-06-27 07:19:16 (Show Source):
You can put this solution on YOUR website!if the complemnt of an angle is one third of its supplement.find the angles
Let x = the angle
9o-x = the complement of the angle
180-x = the supplement of the angle
90-x = (180-x)/3
3(90-x) = 180-x
270 - 3x = 180 -x
270 - 180 = 3x - x
2x = 90
x = 45
The angle is 45.
The complement is 45 (90-45).
The supplement is 135 (180-45).
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