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Can someone please help me to understand this problem? Thanks
1. You are planning to spend no more than $10,000 and no less than $8,000 on your landscaping project.
a. Write an inequality that demonstrates how much money you will are willing to spend on the project.
b. For the first phase of the project, imagine you want to cover the backyard with decorative rock and plant some trees. You need 30 tons of rock to cover the area. If each ton costs $80 and each tree is $104, what is the maximum number of trees you can buy with a budget of $3,500? Write an inequality that illustrates the problem and solve. Express your answer as an inequality and explain how you arrived at your answer.
c. Would twelve trees be a solution to the inequality in Part b? Justify your answer.
1 solutions
Answer 307470 by mananth(12270)   on 2011-05-08 02:22:44 (Show Source):
You can put this solution on YOUR website!8000<=x<=10000
30 tons of rock = $2400
each tree = $104
x trees
104x is the cost
104x+2400<=3500
104x<=1100
x<=1100/104
x<=10.54
You can buy 10 trees
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Rational-functions/446453: I hope this gets solved quick as its due Monday. But this is the closest i could find to what i need. Rational Equations is what we are on and i cant find anything on the site for that.
3x/xt1 + 4/x-2 = 3
I really need help. I know you find the LCD but with this one how do you do that?
1 solutions
Answer 307469 by mananth(12270) on 2011-05-08 02:10:12 (Show Source):
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Linear-equations/446448: (-3,4)and (9,12)
Determine the co-ordinates X intercept and y intercept
1 solutions
Answer 307467 by mananth(12270) on 2011-05-08 01:54:19 (Show Source):
You can put this solution on YOUR website!x1 y1 x2 y2
-3 4 9 12
slope m = (y2-y1)/(x2-x1)
(12-4)/(9-(-3))
(8/12)
m=0.67
Plug value of the slope and point (-3,4) in
Y =mx+b
4.00=-2+ b
b=4-2
b=6
So the equation will be
Y =0.67x +6
when x=0 y= 6 ( 0,6),y intercept point
when y=0,-0.67x=6
x=-6/0.67
x=-8.96 (-8.96,0),x intercept point
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Mixture_Word_Problems/446440: When three pumps, A, B, C, are running together, they can pump 3200 gal per hour. When only A and B are running, 1800 gal per hour can be pumped, when only A and C are running 2000 gal_per hour can be pumped. What is the pumping capacity of each pump?
_______________________________________________________
$6300 is invested, part of it at !0% and part of it at 6%. For a certain year, the total yield is $502.00 How much was invested at each rate?
How much was invested at 10%
How much was invested at 6%
1 solutions
Answer 307466 by mananth(12270) on 2011-05-08 01:47:29 (Show Source):
You can put this solution on YOUR website!A= xgal/h, B=ygal/h, C= zgal/h
x+y+z=3200....1
x+y=1800......2
x+z= 2000......3
multiply (2) by -1 and add to (1)
-x-y=-1800
add it to (1)
z=1400
In eq(3)
x+z=2000
plug z
x+1400=2000
x=600
...
Plug x & z in (1)
600+y+1400=3200
y=1200
.....................
Part I 10.00% per annum
Part II 6.00% per annum
x+y=6300 ------------------------1
10.00%x+ 6.00%y=$502.00
Multiply by 100
10x+6y=$50,200.00 --------2
Multiply (1) by -10
we get
-10x-10y=-63000.00
Add this to (2)
-4y=-$12,800.00
divide by -4
y=$3,200.00 investment at 6.00%
Balance $3,100.00 investment at 10.00%
m.ananth@hotmail.ca
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Triangles/446376: A billboard is on top of a building. You are 134.9 feet from the building. You measure the angle of elevation of the bottom of the billboard as 39.4 degrees and the angle of elevation of the top of the billboard as 47degrees. How tall is the billboard?
1 solutions
Answer 307423 by mananth(12270) on 2011-05-07 21:35:44 (Show Source):
You can put this solution on YOUR website!let bill board height be x
building height =y
Tan 47 = (x+y)/134.9
Tan 39.4 = y/134.9
Tan 47-Tan 39.4 = (x+y)/134.9 - y/134.9
Tan 47-Tan39.4 = x/134.9
x= 134.9(Tan 47-tan39.4)
x= 33.85 feet
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Linear-equations/446384: (3,8) and (9,12)
Determine in each case the gradient and equation of the line joining the two points.
Determine the co-ordinates for X intercept and y intercept for each of the lines
1 solutions
Answer 307417 by mananth(12270) on 2011-05-07 21:24:52 (Show Source):
You can put this solution on YOUR website!x1 y1 x2 y2
3 8 9 12
slope m =(y2-y1)/(x2-x1)
(12-8)/(9-3)
(4/6)
m=0.67
Plug value of the slope and point(3,8 ) in
Y = m x + b
8.00 = 2 + b
b= 8 - 2
b= 6
So the equation will be
Y =0.67 x+6
y intercept point (0,6)
x intercept point (8.95,0)
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test/446383: If Jill fills a pool with water in 30 min, jack fills a pool with water in 45 min and John fills a pool with water in 1 hour and 30 min. How long will it take if they work together.
1 solutions
Answer 307412 by mananth(12270) on 2011-05-07 21:18:16 (Show Source):
You can put this solution on YOUR website!Filling the pool is 1 job
Jill 0.5 hours
It does 2 jobs in 1 hours
Jack 0.75 hours
It does 1 1/ 3 of thejob in 1 hours
John 1.5 hours
It does 2/3 of the job in 1 hours
Together they will do 2 + 1.33 + 0.67
Together they will do 4 of the job in one hours
So they will take 1/4 hours
So they will take 0.25 hours
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Money_Word_Problems/446373: A flagpole is 15 feet high cast a shadow of 10 feet, at the same time a nearby building cast a 30 foot shadow. How many feet high is the building? Note the ground is level and both building and the flag poles are perpendicular to the ground
1 solutions
Answer 307404 by mananth(12270) on 2011-05-07 21:03:17 (Show Source):
You can put this solution on YOUR website!let building be x feet
flagpole = 15 fet, shadow = 10 feet
building = x feet, shadow=30 feet
15/10 = x/30
15*30/10= x
45 feet is the height of the building
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Money_Word_Problems/446300: Heather is Holtz planning a vacation in europe in 4 years, after graduation. She estimates that she will need 3,500 for the trip.
a. If her bank is offering 4- year certificates of deposit 8% interest compounded quarterly. How much Heather invested now to have the money for the trip?
b. how much compound interest will be earned on the investment?
1 solutions
Answer 307402 by mananth(12270) on 2011-05-07 20:59:00 (Show Source):
You can put this solution on YOUR website!Principal P = x
Amount= 3500
years=n 4
compounded 4 times a year
Rate = 8.00
Amount = P*((n+r)/n)^n
3500 =x*(1+r/n)^n
3500 =P(1+0.080)/4)^4*4
3500=P(1.02000)^16
3500/(1.02)^16= P
P= 2549.56
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Triangles/446370: I am an under grad college newbie, I am struggling with an assignment question pertaining to finding the area in a triangle figure. The question asks to find the area in this figure. 5/4m is inside the triangle and 10/7 is below the triangle? What is the formula to come up with the correct answer?
1 solutions
Answer 307398 by mananth(12270) on 2011-05-07 20:46:18 (Show Source):
You can put this solution on YOUR website!We are not mind readers
if 5/4 is the height
10/7 is the base
then area
Area = 1/2 * base * height
Area = 1/2 *5/4 * 10/7
Area =50/56===>25/26 sq. units
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Graphs/446357: Can you help me find the slope of the line using the two plotted points in the graph?
http://www.flickr.com/photos/62474130@N03/5693715805/
Thank you.
1 solutions
Answer 307394 by mananth(12270) on 2011-05-07 20:39:55 (Show Source):
You can put this solution on YOUR website!Slope = rise / run
rise =6
run =3
slope = 6/3 = -2
As y increase x is decreasing so slope is negative
y intercept = 2
the equation is y = -2x +2
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Graphs/446361: Can you help me write the equation of the line given in the graph?
http://www.flickr.com/photos/62474130@N03/5693715793/
1 solutions
Answer 307391 by mananth(12270) on 2011-05-07 20:33:45 (Show Source):
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Money_Word_Problems/446372: if a parttime workers daily pay was 25.00 for monday and tuesday and 15.00 for Wed, Thurs and Friday, what was the average workers daily pay for the 5 days
1 solutions
Answer 307389 by mananth(12270) on 2011-05-07 20:30:56 (Show Source):
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Rate-of-work-word-problems/446358: One person can do a certain job in six days, a second person can do the same job in two days, and a third person can do this job in three days. How many days will they take to do the job together?
1 solutions
Answer 307383 by mananth(12270) on 2011-05-07 20:24:15 (Show Source):
You can put this solution on YOUR website!person I 6 days
He does 1/ 6 of the job in 1 day
Person II 3 days
He does 1/ 3 of thejob in 1 day
Person III 2 days
He does 1/2 of the job in 1 day
Together they will do 1/6+ 1/12+ 1/2
Together they will do 3/ 4of the job in one day
So they will take 1 1/3 day
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Travel_Word_Problems/446364: Palmer's average running speed is 3 Kilometers per hour faster than his walking speed. If Palmer can run around a 20-Kilometer course in 2 hours, how many hourse would it take her Palmer to walk the same course?
I NEED TO SEE THE WORK ON HOW YOU GOT THE ANSWER!!
1 solutions
Answer 307380 by mananth(12270) on 2011-05-07 20:17:49 (Show Source):
You can put this solution on YOUR website!walking speed =x
running speed = x+3
d=rt
20=(x+3)*2
20=2x+6
20-6=2x
14=2x
x=7 kmph running speed
so walking speed = 4 kmph (7-3)
d=rt
d=20
r=4
20=4*t
20/4=t
t= 5 hours walking time for 20 km
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Linear-equations/446366: Determine whether the graphs of the pair of lines are parallel.
x+9=y
y-x=-5
Answer:
The slope of line x+9=y is ? or is it undefined ?
The slope of line y-x=-5 is ? or is it undefined ?
Are the graphs of the given equations parallel?
1 solutions
Answer 307378 by mananth(12270) on 2011-05-07 20:12:56 (Show Source):
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Graphs/446186: Graph the system of inequalities
y(is greater than or equal to)-4
x(is greater than or equal to)5
I have tried working out this problem by dividing, but the answer does not look correct. Please help me, I have asked everyone I know and they cannot help me.
1 solutions
Answer 307234 by mananth(12270) on 2011-05-07 02:06:31 (Show Source):
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Mixture_Word_Problems/446185: im REALLY bad at word problems so im preparing for the cst with some of the old release question and heres one im having trouble turning this into a graph:
A pharmacist mixed some 10%-saline solution
with some 15%-saline solution to obtain 100 mL of a 12%-saline solution. How much of the 10%-saline solution did the pharmacist use in the mixture?
A 60 mL
B 45 mL
C 40 mL
D 25 mL
1 solutions
Answer 307233 by mananth(12270) on 2011-05-07 01:56:59 (Show Source):
You can put this solution on YOUR website! percent ---------------- quantity
Acid solution I 10----------------x ml
Acid solution II 15----------------100-x ml
Total 12.00% ---------------- 100
10x+15(100-x)=12*100
10x+1500-15x=1200
10x-15x =1200-1500
-5x=-300
/-5
x=60ml 10.00%
40ml15.00%
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Equations/446177: Solve by substitution method.
6x-7y=-35
2x+21=y
Solution type in ordered pair.
1 solutions
Answer 307231 by mananth(12270) on 2011-05-07 01:09:40 (Show Source):
You can put this solution on YOUR website!6x-7y=-35 .............1
y=21+2x ---------2
Plug the value of y in (1)
6x-7(21+2x)=-35
6x-147-14x=-35
6x-14x=-35+147
-8x=112
/-8
x=-14
Plug the value of x in (1)
6x-7y=-35
6*-14-7y=-35
-84-7y= -35
-7y=49
/-7
y=-7
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Travel_Word_Problems/446153: A ship leaves Port Canaveral on May 6th @ 1200GMT bound for Gibraltar, a distance of 3822 miles. They expect to average 13.5 kts and give an estimated time of arrival ( ETA ) of May 18th at 0700 GMT. On the 13th their position at 0100 shows they have averaged 14.4 and have 1554 miles left to go, they are ahead of schedule. Due to limitations with the engines they can not slow to less than 10 knots. If they continue to average 14.4kts, When will they be able to slow to 10kts and still arrive at the original ETA of 0700 on the 18th?
1 solutions
Answer 307229 by mananth(12270) on 2011-05-07 01:04:40 (Show Source):
You can put this solution on YOUR website!dep 6th May 1200
Arr 18th may 7.00
Time = 11 days + 19 hours = 283 hours
scheduled speed = 13.5 kts
distance = 3822 miles
..
13th May 0100 hours time elapsed =6 days and 13 hours = 157 hours
To reach on schedule it has 283-157 = 126 hours
Let it travel x kts at 14.4 kts/h
time = x/14.4
Balance at 10 kts/h
Time at 10 kts/hr =(1554-x)/10
x/14.4 + (1554-x)/10= 126
10x+14.4(1554-x)= 10*14.4*126
10x+22,377.6 -14.4x =18144
-4.4x=-4233.6
x=962.18 kts.
At 14.4 kts/hr it will take 962.18/14.4 ---hours
=66.81 hours ===> 2 days 18 hours 48 minutes
16th may 1948 hours it has to reduce to 10 kts/hr to be on schedule.
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Volume/446173: a farm silo in the shape of a cylinder 32.5ft high, and its circular base has a radius of 10ft. find the volume in ft^3 and m^3
1 solutions
Answer 307227 by mananth(12270) on 2011-05-07 00:24:52 (Show Source):
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Volume/446172: How do I find the radius of a sphere with a volume of 17 cubic feet.
I did V= 4/3 * 3.14 * (8.5) 17 divide by 2 is 8.5 ^3 but I am not getting the right anwer the answer is 1.6 I dnt know how I got it?
1 solutions
Answer 307226 by mananth(12270) on 2011-05-07 00:21:52 (Show Source):
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Linear-equations/446128: give y-intercept and slope equation (-2,6) and (-9,1)
1 solutions
Answer 307225 by mananth(12270) on 2011-05-07 00:07:29 (Show Source):
You can put this solution on YOUR website!x1 y1 x2 y2
-2 6 -9 1
slope m =(y2-y1)/(x2-x1) 0.71
(1-6)/( -9-2)
(-5/-7)
m=0.71
Plug value of the slope and point (-2 ,6) in
Y =mx+b
6.00=-1.43+b
b=6-1.43
b=7.43
So the equation will be
Y =0.71 x+7.43
y intercept = 7.43
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Miscellaneous_Word_Problems/446151: Select the set of equations that represents the following situation: The sum of two numbers is 73, and their difference is thirty-two less than the smaller number. What are the two numbers?
I am really unclear as to this problem, I think I start it off like this,
x+y=73
But I am at a loss for the rest. Any assistance would be helpful.
Thanks
Phil
1 solutions
Answer 307224 by mananth(12270) on 2011-05-07 00:03:04 (Show Source):
You can put this solution on YOUR website!x+y=73..............1
x-y = y-32
x-2y=-32 .........2
1 x + 1 y = 73 .............1
1 x + -2 y = -32 .............2
Eliminate y
multiply (1)by 2
Multiply (2) by 1
2x+2y=146
x-2y=-32
Add the two equations
3x=114
/3
x=38
plug value of x in (1)
x+y=73
38+y=73
y=73-38
y=35
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Percentage-and-ratio-word-problems/446162: oky so im practicig for the cst by using the cst release qestion but im havng trouble with worproblems and I've managed to solve some so far but therese that is !?!?
An object that is projected straight downward with initial velocity "v" feet per second travels a distance "s=vt+16t^2 ", where t=time in seconds. If Ramón is standing on a balcony 84 feet above the ground and throws a penny straight down with an initial velocity of 10 feet per second, in how many seconds will it reach the ground?
A 2 seconds
B 3 seconds
C 6 seconds
D 8 seconds
I've tried using the formula v=d/t like in science but this equation confuses me: s=vt+16t^2
1 solutions
Answer 307223 by mananth(12270) on 2011-05-06 23:56:15 (Show Source):
You can put this solution on YOUR website!s=vt+16t^2
v= 10ft/s
s=84
84=10t+16t^2
16t^2+10t-84=0
/2
8t^2+5t-42=0
Find the roots of the equation by quadratic formula Find the roots of the equation by quadratic formula
a= 8, b= 5, c= -42,
b^2-4ac=25-1344
b^2-4ac=1369
 =37
x1=(-5+37)/16
x1= 2
x2=(-5-37) /16
x2= -2.63
Ignore negative value
x = 2 seconds
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Graphs/446131: Solve the system of equations by graphing.
2x-y=6
6x-3y=6
help pease.
1 solutions
Answer 307202 by mananth(12270) on 2011-05-06 21:36:02 (Show Source):
You can put this solution on YOUR website!2x-y=6
6x-3y=6
Rewrite the equations
y=2x-6.............1
3y=6x-6
/3
y=2x-3.............2
The lines are parallel. There is no solution to the system.The system is inconsistent
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Linear-systems/446133: Solve the system of equations.
2x+8y+z=17
-x+y+4z=-7
x+4y+4z=-2
I would appreciate the help. thank you
1 solutions
Answer 307194 by mananth(12270) on 2011-05-06 21:25:25 (Show Source):
You can put this solution on YOUR website!2x+8y+1 z=17--------------1
-1x+1y+4z=-7--------------2
1x+4y+4z=-2--------------3
consider equation 1 &2 Eliminate y
Multiply 1 by 1
Multiply 2 by -8
we get
2x+8y+z =17
8x-8y-32z=56
Add the two
10x-31z=73 -------------4
consider equation 2 & 3 Eliminate y
Multiply 2 by-4
Multiply 3 by 1
we get
4x-4y-16z=28
x+4y+4z=-2
Add the two
5x-12z=26 -------------5 5
Consider (4) & (5) Eliminate x
Multiply 4 by 1
Multiply (5) by -2
we get
10x-31z=73
-10x+24z=-52
Add the two
-7z=21
/ -7
z=-3
Plug the value of z in 5
5x+36=26
5x=-10
x=-2
plug value of x & z in 1
-4+8y-3 =17
8y=4+3+17
y=24
m.ananth@hotmail.ca
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