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scott8148 answered: 6619 problems
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Thanks
The base of a triangle is 8cm greater than the height. The area of the triangle is 120cm squared. Find the height and the base.
1 solutions
Answer 251419 by scott8148(6628)   on 2010-10-04 18:51:45 (Show Source):
You can put this solution on YOUR website!b = h + 8
120 = 1/2 * b * h
substituting ___ 240 = (h+8) * h
0 = h^2 + 8h - 240
factoring ___ 0 = (h + 20)(h - 12)
h = 12
substituting ___ b = (12) + 8 = 20
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Miscellaneous_Word_Problems/351596: hi, any help for this
Admission tickets to a theater were P60 for adults and P25 for children. Receipts for the day showed that 280 persons attended and P14,000 were collected. How many children attended that day?
Thanks
JM
1 solutions
Answer 251411 by scott8148(6628) on 2010-10-04 18:28:34 (Show Source):
You can put this solution on YOUR website!a + c = 280 ___ a = 280 - c
60a + 25c = 14000
substituting ___ 60(280 - c) + 25c = 14000 ___ 16800 - 60c + 25c = 14000
2800 = 35c
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Travel_Word_Problems/351368: A coast guard boat that patrols a river separating two countries cruises at 20knots in still water. The river flows at 4 knots. For each patrol the captain of the boat is ordered to travel upstream and then return. His trip takes exactly 6 hours. How far upstream does the boat travel?
*I have drawn a picture but am having trouble writing an equation to solve.
1 solutions
Answer 251403 by scott8148(6628) on 2010-10-04 18:05:00 (Show Source):
You can put this solution on YOUR website!t = d / r ___ the time upstream plus the time downstream equals 6 hr ___ the distance is the same
[d / (20-4)] + [d / (20+4)] = 6 ___ d/16 + d/24 = 6
multiplying by 48 ___ 3d + 2d = 288
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Travel_Word_Problems/351314: Juan drives to work. Because of traffic conditions, he averages 22 miles per hour. He returns home averaging 32 miles per hour. The total travel time is 2 1/4 hours.
a) Define a variable for the time Juan takes to travel to work. Write an expression for the time Juan takes to return home.
b) Write and solve an equation to find the time Juan spends driving to work.
Thank you!
1 solutions
Answer 251398 by scott8148(6628) on 2010-10-04 17:42:24 (Show Source):
You can put this solution on YOUR website!let x=time TO work ___ so (9/4 - x)= time to return home
d = r * t ___ the distance is the same
22(x) = 32(9/4 - x)
22x = 72 - 32x
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Travel_Word_Problems/351302: The speed of a freight train is 23 mph slower than that of a passenger train. The freight train travels 250 mi in the same time it takes the passenger train to travel 450 mi. Find the speed of the passenger train.
Please Help! I have tried a lot of different things but cant get to one of the multiple choice answers. Please Help! Thank you!
1 solutions
Answer 251396 by scott8148(6628) on 2010-10-04 17:35:38 (Show Source):
You can put this solution on YOUR website!f = p - 23
t = d / r ___ the time is the same for both trains
250 / (p - 23) = 450 / p
multiplying by p(p-23) ___ 250p = 450p - (23 * 450)
23 * 450 = 200p
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Money_Word_Problems/351104: we know there will be 105 students on a trip. there are twice as many students in the drama class as the FEA class, and 10 more students in the environmental club than the drama class.
I need to write an equation to find out how many students will be on the FEA trip.
1 solutions
Answer 250995 by scott8148(6628) on 2010-10-03 12:19:45 (Show Source):
You can put this solution on YOUR website!"there will be 105 students on a trip" ___ d + F + e = 105
"there are twice as many students in the drama class as the FEA class" ___ d = 2F
"10 more students in the environmental club than the drama class" ___ e = d + 10 = 2F + 10
substituting ___ 2F + F + 2F + 10 = 105
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Probability-and-statistics/351167: A state lottery game uses ping pong balls numbered 0-39. Balls with the numbers 20,8,7, and 1 have been selected already.
Find the probability of drawing a ball with a number less than 10 as the fifth ball.
I believe the answer could be:
10 over 36 is that correct? do you need to simplify?
1 solutions
Answer 250992 by scott8148(6628) on 2010-10-03 12:05:54 (Show Source):
You can put this solution on YOUR website!4 balls have already been drawn from the original 39
3 of the numbers that are less than ten have already been selected
how many balls are left , and how many of those have numbers less than ten?
yes , you should simplify (if necessary) ___ probabilities are frequently expressed as decimals
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Travel_Word_Problems/351013: A motorboat at full throttle takes two hours
longer to travel 75 miles against the current than it takes to
travel the same distance with the current. If the rate of the
current is 5 mph, then what is the speed of the boat at full
throttle in still water?
I have been working on this problem and I can't figure it out. I have to provide detailed soultions step by step
1 solutions
Answer 250911 by scott8148(6628) on 2010-10-02 23:05:09 (Show Source):
You can put this solution on YOUR website!time = distance / rate ___ there is a 2 hr difference in the times
75 / (s - 5) = [75 / (s + 5)] + 2
multiplying by (s-5)(s+5) ___ 75(s+5) = 75(s-5) + 2(s-5)(s+5) ___ 75s + 375 = 75s - 375 + 2s^2 - 50
800 = 2s^2
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Human-and-algebraic-language/350628: Petunia Pig wades into m mud puddles every h hours. How many mud puddles (x) does she wade into in q hours?
I don't understand how to work this problem out, and I would really appreciate some help! Thanks!
1 solutions
Answer 250751 by scott8148(6628) on 2010-10-01 23:07:39 (Show Source):
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Expressions-with-variables/350421: Can anyone help solve this?
Problem states: Find the variation constant and an equation of variation where y varies directly as x and y=2 when x=1.
Variation constant is k=
Equation of variation is y=
1 solutions
Answer 250524 by scott8148(6628) on 2010-09-30 22:23:02 (Show Source):
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real-numbers/350414: 81v^2+49-126v I have to factor it.
I understand I must place the numbers in decending order making it 81v^2-126v+49 how from there I am lost. I believe it would be 9(9v+/- a number)(v+/-a number)
1 solutions
Answer 250520 by scott8148(6628) on 2010-09-30 22:19:48 (Show Source):
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Travel_Word_Problems/350435: Emily leaves home at 2:00 traveling 30 miles per hour. Sarah leaves 20 mins. later traveling at 36 miles per hour. At what time will they meet up.
I think it has something to do with t=r/d but the question does not give distance. I also tried at table 30t+36(t+20)= ____ but I don't know what to put in the blank. Please help me. Thank you for you time.
1 solutions
Answer 250508 by scott8148(6628) on 2010-09-30 21:45:11 (Show Source):
You can put this solution on YOUR website!they meet up when they have traveled the same distance ___ Sarah has 1/3 hr less travel time but she goes faster
d = rt ___ 30(t) = 36[t -(1/3)]
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Percentage-and-ratio-word-problems/350308: The ratio of Aldo's cycling speed to Jose cycling speed is 6:5. Jose leaves school at 3pm and Aldo leaves at 3:10pm. By 3:30pm Aldo is only 2 km behind Jose. How fast is each cycling?
rate=distance/time so Aldo is traveling at 6x and Jose is traveling at 5x
6x(1/3)-2=5x(1/2)
I'm not sure if I am on the right track.
1 solutions
Answer 250465 by scott8148(6628) on 2010-09-30 18:30:53 (Show Source):
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Equations/350324: Can you please answer all these problems. I have tried and cannot get the right answer. So can you please answers all these that would be great.
Thanks!
The slope of a line is -7 /10 The point (10, 3) is on the line. Determine the equation of this line.
The slope of a line is -3/4 The point (8, -5) is on the line. Determine the equation of this line.
The slope of a line is 1/9 The point (-9, -11) is on the line. Determine the equation of this line.
The slope of a line is 1/8 The point (-8, -5) is on the line. Determine the equation of this line.
1 solutions
Answer 250460 by scott8148(6628) on 2010-09-30 18:25:32 (Show Source):
You can put this solution on YOUR website!the general point-slope form of a line is ___ y - y1 = m(x - x1)
___ where m is the slope and (x1,y1) is a point on the line
the 1st one is ___ y - 10 = (7/10)(x - 3)
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Linear-systems/350022: I need help for this system , can you please help me? I will really appreciate it
1/x + 1/y =6
2x+y=3
I've tried to subtract y and then to solve the system but didnt work .then I 've tried to notate 1/x with a and 1/y with b, but I got stack because I didn't know what should I do with the second equation .
thank you for your help.
daniela
1 solutions
Answer 250176 by scott8148(6628) on 2010-09-30 01:15:36 (Show Source):
You can put this solution on YOUR website!from 2nd equation ___ y = 3-2x
substituting ___ (1/x) + [1/(3-2x)] = 6
3-2x + x = 6(x)(3-2x) ___ 3-2x + x = 18x - 12x^2
0 = 12x^2 - 19x + 3
use quadratic formula to find the x-values , then substitute to find the corresponding y-values
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Signed-numbers/349954: Problem: Hiking up a mountain, you notice that the air temperature drops 10 degrees celsius for every 1000 meters increase in elevation. Write a multiplication expression to represent the decrease in temperature if you hike up the mountain 3000 meters. Then evaluate the expression and explain its meaning.
This is a problem for my sixth grader's math homework and my wife and I are completely stumped. Neither of us can remember how to relate the temperature to the elevation in an equation and the lesson in the math book stops short of this type of problem (this particular problem is like a brain teaser at the end of the assignment). Can you help?
1 solutions
Answer 250174 by scott8148(6628) on 2010-09-30 00:46:30 (Show Source):
You can put this solution on YOUR website!not exactly sure what the book is looking for...
k = 10ºC / 1000m = .01ºC/m
Td = 3000m * k ___ Td = 3000m * .01ºC/m = 30ºC
if you hike 3000m up the mountain , the temperature decreases 30ºC
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Mixture_Word_Problems/349721: Angela needs 20 quarts of 50% antifreeze solution in her radiator. She plans to obtain this by mixing some pure antifreeze 100% with an appropriate amount of a 40% antifreeze solution. How many quarts of each should she use?
I have tried to set the equation many times but can not come to a complete equation.
I have tried .100x +.40x =20, but realize that .100 does not equal 100%
I have tried x+x = 20 but realize that there should be more of the 40% solution than the 100% solution.
what is the best wayto set up the equation?
thanks
1 solutions
Answer 250167 by scott8148(6628) on 2010-09-30 00:16:44 (Show Source):
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Rate-of-work-word-problems/349502: A sink has 2 faucets, A and B, and drain, C. The drain empties the sink at the same rate that faucet A fills the sink. If drain C is closed and both faucets are turned on, the sink is filled in 5 minutes. If faucet B is on, and drain C is open, the sink is filled in 20 minutes. Find the rates at which faucets A and B fill the sink.
I'm not sure how to set this up. I got 7.5 for A and 12.5 for B.
1 solutions
Answer 250163 by scott8148(6628) on 2010-09-30 00:00:57 (Show Source):
You can put this solution on YOUR website!(5/A) + (5/B) = 1 ___ 5B + 5A = AB ___ 5B = AB - 5A ___ 5B = A(B-5) ___ 5B / (B-5) = A
(20/B) - (20/A) = 1 ___ (20/B) - {20 / [5B / (B-5)]} = 1 ___ 100 - 20B + 100 = 5B ___ 200 = 25B ___ 8 = B
A = (5 * 8) / (8 - 5) = 40/3
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Polygons/348945: the floor of a gazebo is in the shape of a regular polygon. The measure of an exterior angle of the gazebo floor is one third the measure of an interior angle.
How many sides does the gazebo have? Show work or explain in words how this was determined.
* There is a diagram to this question.
In words it looks like... if you turn the paper to landscape form, the diagram looks like a k without the bottom \ then turning he paper portrait there is an "x" on the left side if the diagram and "x" over 3 on the right.
1 solutions
Answer 249428 by scott8148(6628) on 2010-09-27 21:58:59 (Show Source):
You can put this solution on YOUR website!the interior/exterior pair are supplementary (they sum to 180º)
so ___ x + 3x = 180º ___ x = 45º
the exterior angles of a polygon sum to 360º
so the number of sides is ___ 360/45
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Mixture_Word_Problems/348913: Need help please: A 100% concentrate is to be mixed with a mixture having a concentration of 30% to obtain 50 gallons of a mixture with a concentration of 70%. How much of the 100% concentrate will be needed?
1 solutions
Answer 249417 by scott8148(6628) on 2010-09-27 20:31:40 (Show Source):
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Rate-of-work-word-problems/348900: Construction A roofer requires 12 hours to shingle a roof. After the
roofer and an apprentice work on a roof for 3 hours, the roofer moves
on to another job. The apprentice requires 12 more hours to finish the
job. How long would it take the apprentice, working alone, to do the job?
1 solutions
Answer 249398 by scott8148(6628) on 2010-09-27 19:44:00 (Show Source):
You can put this solution on YOUR website!in the 3 hours that the roofer worked , he completed 1/4 of the job (3/12)
that means it takes the apprentice 15 hr (3+12) to do 3/4 of the job
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Radicals/348821: Okay, sorry, I have another question. These radicals are killing me!
sqrt ( x-3 ) + sqrt ( x+2 ) = 5
Really hard for a student do when there's not ONE example to turn to look for help in the book. Sheesh. Thank you again in advance!
1 solutions
Answer 249382 by scott8148(6628) on 2010-09-27 17:56:09 (Show Source):
You can put this solution on YOUR website!squaring ___ (x - 3) + 2 sqrt[(x - 3)(x + 2)] + (x + 2) = 25
2 sqrt(x^2 - x - 6) = 26 - 2x ___ sqrt(x^2 - x - 6) = 13 - x
squaring (again) ___ x^2 - x - 6 = 169 - 26x + x^2
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Number-Line/348782: 2,493 _ _ _ _ 8,008 I am told students can find the missing numbers on a number line using a strategy when the numbers are the same distance apart. I can't divide the numbers evenly
1 solutions
Answer 249372 by scott8148(6628) on 2010-09-27 17:39:16 (Show Source):
You can put this solution on YOUR website!the are 4 missing numbers , so there are 5 equal intervals between the two given values
2493+ I = N1 ___ N1 + I = N2 ___ N2 + I = N3 ___ N3 + I = N4 ___ N4 + I = 8008
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Travel_Word_Problems/348670: Willy is driving south at a constant speed of 65 mph. If his car is 16 feet long and it takes him 7 seconds to pass a 70 foot tractor-trailer truck, how fast is the truck traveling?
1 solutions
Answer 249342 by scott8148(6628) on 2010-09-27 16:35:51 (Show Source):
You can put this solution on YOUR website!Willy travels (relative to the truck) the length of the truck plus the length of his car in 7 seconds
there are 5280 feet in a mile and 3600 seconds in an hour
so miles/hr equals feet/sec multiplied by 3600/5280
the truck is going SLOWER than Willy by (86 feet/7 sec)
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Rate-of-work-word-problems/348183: A bathroom tub will fill in 15 minutes with both faucets open and the stopper in place. With both faucets closed and the stopper removed, the tub will empty in 20 minutes. How long will it take for the tub to fill if both faucets are open and the stopper is removed?
1 solutions
Answer 248971 by scott8148(6628) on 2010-09-26 14:15:11 (Show Source):
You can put this solution on YOUR website!after 20 min , a full tub of water has drained out
___ but at the same time , 4/3 of a tub has run in (20/15)
so in 20 min , the tub is 1/3 full
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Miscellaneous_Word_Problems/347959: What is the answer to this word problem? The government of a developing country is implementing a new reading program in which each individual who can read spends one year teaching two others to read. At the end of the year, the original individual can stop, but each of the two people who just learned to read must now spend a year teaching two more people to read. If 1,000 people can read at the start of the program, how many people will be able to read at the end of 10 years?
1 solutions
Answer 248881 by scott8148(6628) on 2010-09-26 00:20:45 (Show Source):
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