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mananth answered: 12270 problems
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1 solutions
Answer 302448 by mananth(12270)   on 2011-04-18 09:02:45 (Show Source):
You can put this solution on YOUR website!x1 y1 x2 y2
-3 0.5 -7 2.5
slope m = (y2-y1)/(x2-x1) -0.5
m= -0.5
Plug value of the slope and point ( -3 , 0.5 ) in
Y = m x + b
0.50 = 1.5 + b
b= 0.5 1.5
b= -1
So the equation will be
Y = -0.5 x + -1
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Volume/437171: An ice cube that measures 2.7 centimeters on each side contains how many cubic centimeters of ice? Include correct units with your solution.
1 solutions
Answer 302410 by mananth(12270) on 2011-04-18 04:34:22 (Show Source):
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Linear-systems/437190: AFTER SOLVING A SYSTEM OF LINEAR EQUATIONS, HOW CAN YOU CHECK YOUR ANSWER TO DETERMINE WHETHER IT IS CORRECT? please demonstrate the process by checking an answer for a set of equations (that you have created)
THANK YOU !
1 solutions
Answer 302408 by mananth(12270) on 2011-04-18 04:30:15 (Show Source):
You can put this solution on YOUR website!3x+2y=4 .............1
5x+2y=8 .............2
Eliminate y
multiply (1)by -1
Multiply (2) by 1
-3x-2y= -4
5x+2y=8
Add the two equations
2x=4
/2
x=2
plug value of x in (1)
3x+2y=4
6+2y=4
2y=4-6
2y=-2
y=-1
CHECK
plug the value of x & y in any equation from above
3x+2y=4
6-2=4
4=4
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Volume/437227: two sphere just fit into a cylindrical container of radius 4.5 cm .
Calculate the volume occupied by both sphere.
1 solutions
Answer 302407 by mananth(12270) on 2011-04-18 04:23:53 (Show Source):
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Geometry_Word_Problems/437230: A kite flying 20 ft. above the ground is attached to a string 80 ft. long. The string is being held by a person on the ground.if the kite fell vertically to the ground, how far away from the stake would the kite land?
1 solutions
Answer 302404 by mananth(12270) on 2011-04-18 03:15:21 (Show Source):
You can put this solution on YOUR website!sin  = vertical/hypotenuse
Sine = 20/80
Sine = 1/4
 =15 deg
..
Cos = base/hyptenuse
Cos 15* 80 = base
0.9659*80= 77 feet ground distance (approx)
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Rate-of-work-word-problems/437217: A farmer has 200 hectares of land suitable for cultivating crops A, B, and C. The
cost of cultivating each crop is
• $40 per hectare for crop A
• $60 per hectare for crop B
• $80 per hectare for crop C
The labour hours required for each crop are
• 20 labour hours per hectare for crop A
• 25 labour hours per hectare for crop B
• 40 labour hours per hectare for crop C.
The farmer has 200 hectares of land, a budget of $12600, and a workforce that can
work a total of 5950 labour hours. How many hectares of each crop should he plant
to use up all his available land, budget, and labour hours?
[Hint: land, budget and labour correspond to 3 linear equations]
1 solutions
Answer 302398 by mananth(12270) on 2011-04-18 01:40:14 (Show Source):
You can put this solution on YOUR website!Crop A - x
Crop B -y
Crop C-z
x+y+z=200.....................1
40x+60y+80z= 12600.............2
20x+25y+40z=5950...............3
consider equation 1 &2 Eliminate y
Multiply 1 by -60
Multiply 2 by 1
we get
-60x-60y-60z=-12000
40x+60y+80z=12600
Add the two
-20x+20z=600 -------------4
consider equation 2 & 3 Eliminate z
Multiply 2 by -5
multiply 3 by 12
we get
-200x-300y-400 z=-63000
240x+300y+480z= 71400
Add the two
40x+80z=8400 -------------5 5
Consider (4) & (5) Eliminate z
Multiply 4 by 2
Multiply (5) by 1
we get
-40x+40z=1200
40x+80z=8400
Add the two
120z=9600
/120
z=80
Plug the value of z in 5
40x+6400=8400
40x=2000
x=50
plug value of x & z in 1
50+y+80=200
y=-50-80+200
y=70
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Linear-equations/437184: Determine wheather the lines a parallel, perpendicular, or neither.
2x+5y=8
-5x+3=2y
1 solutions
Answer 302384 by mananth(12270) on 2011-04-17 23:43:05 (Show Source):
You can put this solution on YOUR website!2x+5y=8 .............1
-5x-2y= -3 .............2
Eliminate y
multiply (1)by 2
Multiply (2) by 5
4x-y= 16
-25x+2y=-15
Add the two equations
-21x= 1
/-21
x=-0.05
plug value of x in (1) 2x+5y=8
-0.1+5y=8
5y=8+0.1
5y=8.1
y=1.62
They intersect at(0,1.62)
..................
CHECK by graphing
equation1
when x= 0,y=1.6(0,1.6)
when y =0,x=4(4,0)
Equation 2
when x= 0,y=1.5(0,1.5)
when y =0,x=0.6(0.6,0)
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Systems-of-equations/437188: solve with substitutions:
-2 x + 1 y = 10 .............1
1 y = -6 -2 x ---------2
/ 1 =
y = -6 + -2 x
Plug the value of y in (1)
-2 x + 1 ( -6 + -2 x ) = 10
-2 x + -6 + -2 x = 10
-2 x + -2 x = 10 6
-4 x = 16
/ -4
x= -4
Plug the value of x in (1)
-2 x + 1 y = 10
-2 * -4 + 1 y = 10
8 + 1 y = 10
1 y = 2
/ 1
y= 2
1 solutions
Answer 302382 by mananth(12270) on 2011-04-17 23:18:10 (Show Source):
You can put this solution on YOUR website!-2x+y=10 .............1
y=-6-2x ---------2
Plug the value of y in (1)
-2x+(-6-2x)= 10
-2x-6-2 x=10
-2x-2x=10+6
-4x=16
/-4
x=-4
Plug the value of x in (1)
-2x+y=10
-2*-4+ y=10
8+y=10
y=2
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Travel_Word_Problems/437119: An airplane leaves Los Angeles for Denver at a speed of 430 mph. Thirty minutes later, a plane going from Denver to Los Angeles leaves Denver, which is 850 miles from Los Angeles, at a speed of 500 mph. When they meet, how far are they from Denver?
1 solutions
Answer 302356 by mananth(12270) on 2011-04-17 21:27:33 (Show Source):
You can put this solution on YOUR website!Plane to Denver 430 km/h
Plane from Denver 500 km/h, 0.5 hours late
Distance 850 miles ,0.5 hours
Plane to Denver has traveled 215 miles before Plane from Denver starts
So distance = 635 when second plane starts
Let time they take to meet be x hours
Time taken to meet is same
t=d/r
combined speed= 930 mph
930x=635
x= 0.68 hours
Plane to Denver 430x +215 m = 508.6 miles
Plane from Denver (850-508.6)= 341.4 miles
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Quadratic_Equations/437124: Make a graph of y=6x^2-4x-3 and find the vertex, y-intercept, extra points.
I don't understand how I can find the vertex, y-intercept and extra points.
1 solutions
Answer 302348 by mananth(12270) on 2011-04-17 21:05:54 (Show Source):
You can put this solution on YOUR website!6x^2-4x-3
vertex = x=-b/2a
vertex y= c-b^2/4a
x= -(-4)/2*6= 0.33
y= -3-(16/24)= -3.6666
Vertex ( 0.33,-3.6666)
xintercepts
y=0
6x^2-4x-3=0
Find the roots of the equation by quadratic formula
a= 6 b= -4 c= -3
b^2-4ac=16-72
b^2-4ac=88 ,  = 9.38
x1=(4+9.38)/12
x1=1.12
x2=(4-9.38)/12
x2= -0.45
(-0.45,0) (1.12,0) x intercepts
......
y intercepts plug x=0
6x^2-4x-3
-3 is the y intercept
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test/437121: 15. sue can shovel snow from her driveway in 30mins. jim can do the same job in 35mins. how long would i ttake sue and ime to shovel teh driveway if they worked together?
16.simplify by removing factors of 1 (7y-14)/2-y
1 solutions
Answer 302332 by mananth(12270) on 2011-04-17 20:29:06 (Show Source):
You can put this solution on YOUR website!Showelling the snow is one job
Sue 30 minutes
she does 1/30 of the job in 1 minute
Jim 35 minute
he does 1/35 of thejob in 1 minute
Together they will do 1/30 + 1/35 +
Together they will do 6/97 of the job in one minute
So they will take 16 1/7 minutes
(7y-14/(2-y)
-7(2-y)/(2-y)
=-7
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Word_Problems_With_Coins/437114: In her purse Anita has 16 coins (nickels,dimes,and quarters), worth $2.05. She has three times as many dimes as nickels. How many of each coin does she have?
1 solutions
Answer 302329 by mananth(12270) on 2011-04-17 20:16:48 (Show Source):
You can put this solution on YOUR website!--------------value-----------numbers
nickels 5 x
dimes 10 3x
quarters 25 16-4x
Value= 205
5x+30x-100x+400 =205
-65x=-195
-65x=-195
/-65
x=3nickels, 9 dimes,4 quarters
(15+90+100)= 205 15
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Linear-equations/436791: Write an equation of the given point and perpendicular to the given line.
(5,-6);6x+5y=8
The equation of the line is y=?
1 solutions
Answer 302217 by mananth(12270) on 2011-04-17 09:52:17 (Show Source):
You can put this solution on YOUR website!6x+5y=8
Find the slope of this line
5y=-6x-8
Divide by 5
y=-1 1/5x-1.6
Compare this equation with y=mx+b
slope m =-1.20
The slope of a line perpendicular to the above line will be the negative reciprocal 0.83
m1*m2=-1
The slope of the required line will be 0.83
m= 0.83 ,point (5,-6)
Find b by plugging the values of m & the point in
y=mx+b
-6=4.17+b
b=-10.17
m=0.83
The required equation is y=0.83x-10.17
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Exponential-and-logarithmic-functions/436863: Find the future value of an initial investment of $5,000 invested at 7% compounded annually, for 25 years.
the formula is: FV=PV(1+i)^n when
FVn is the Futer value of the investment after n years
Pv is the initial amount of the investment
i is the interest rate.
n is the length of the investment, in years.
I have set the equation up like this
FVn= 5,000(1+7%)^25
FVn=5,000(1+0.07)^25
FVn=5,000(1.07)^25
Is this the correct set up?
Now I know since I have the 25 exponent, I have to multiply the 1.07 times itself 25 times, can someone help me from that step. I do not have a scientific calculator so I really need assistance with the multiplication of the exponent and the solution to the problem.
thank you in advance for your assistance
1 solutions
Answer 302215 by mananth(12270) on 2011-04-17 09:44:48 (Show Source):
You can put this solution on YOUR website!Principal P = 5000
Amount= A
years=n 25
compounded 1 times a year
Rate = 7.00 0.07
Amount = P*((n+r)/n)^n
Amount =5000*(1+0.07)^25*1
Amount =5000*(1 +0.07)^ 25
5000 *(1.07)^25
Amount = 27137.16
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Graphs/436861: You need 30 tons of rock to cover the area. If each ton costs $50 and each tree is $84, what is the maximum number of trees you can buy with a budget of $2,400? Write an inequality that illustrates the problem and solve. Express your answer as an inequality and explain how you arrived at your answer.
1 solutions
Answer 302212 by mananth(12270) on 2011-04-17 09:30:53 (Show Source):
You can put this solution on YOUR website!each ton rock $50
required 30 tons
Cost = $1500
cost of each tree = $84
number of trees = x
cost of trees = 84x
Budget = $2400
1500+84x<=2400
84x<= 2400-1500
84x<=900
x<=900/84
x<=10.7
10 trees
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Graphs/436822: The amount of money that a salesperson makes varies directly as the total amount of sales made. If the salesperson receives $7,500 for selling a house for $120,000, how much will he or she make if he or she sells a house for $150,000? Set up a proportion. I figured out the problem but am not sure how to show a check on it. Please help.
1 solutions
Answer 302178 by mananth(12270) on 2011-04-17 01:43:08 (Show Source):
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Surface-area/436795: Hi tutors!,
Help me please. :)
QUESTION: The surface area of a candle is  .If the candle has a diameter of 4inches,What is the height of a candle? (This is a cylinder I found out)
What ive tried:
 = 
 ...... =...But..I think thats wrong! Please help!
1 solutions
Answer 302175 by mananth(12270) on 2011-04-17 00:13:24 (Show Source):
You can put this solution on YOUR website!diameter = 4 inches
radius = 2 inches
surface area = 2pir^2*h + 2pirh
S= 2pir(r+h)
S= 2*3.14*2(2+h)
125.6/12.56= 2+h
10=2+h
h=8 in.
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Linear-equations/436810: Can you help me figure out how to do this?
In 1995, the life expectancy of males in a certain country was 72.7 years. In 2002, it was 75.0 years. Let E represent the life expectancy in year t and let t represent the number of years since 1995.
The linear function that fits the data is E(t)=?
1 solutions
Answer 302173 by mananth(12270) on 2011-04-16 23:54:38 (Show Source):
You can put this solution on YOUR website!In 1995, the life expectancy of males in a certain country was 72.7 years. In 2002, it was 75.0 years. Let E represent the life expectancy in year t and let t represent the number of years since 1995.
The linear function that fits the data is E(t)=?
1995 = 72.7
2002= 75
in 7 years it increased by 2.3 years
in 1 year it increased by 2.3/7=0.328
E(t) = 72.7 + 0.328t
m.ananth@hotmail.ca
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Travel_Word_Problems/436798: A canoeist paddled 6 miles upstream in 6 hours and returned to his starting point downstream in 45 minutes. What was the speed of the current?
1 solutions
Answer 302158 by mananth(12270) on 2011-04-16 23:25:04 (Show Source):
You can put this solution on YOUR website!A canoeist paddled 6 miles upstream in 6 hours and returned to his starting point downstream in 45 minutes. What was the speed of the current?
distance = same both ways
let speed of canoe be x mph
current speed = y mph
..
speed = distance/time
against current x-y = 6/6
with current x+y = 6/(3/4)===>6*4/3===>8
x-y =1
x+y=8
Add the two equations
2x=9
x= 4.5 mph speed of boat
speed of current = 8-4.5 = 3.5 mph
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Linear-equations/436783: Find an equation in slope-intercept form passing through the points (-6.2, 18.1) and (-3.4,18.1).
1 solutions
Answer 302140 by mananth(12270) on 2011-04-16 21:36:58 (Show Source):
You can put this solution on YOUR website!x1 y1 x2 y2
-6.2 18.1 -3.4 18.1
slope m = (y2-y1)/(x2-x1) 0
m= 0
Plug value of the slope and point ( -6.2 , 18.1 ) in
Y = m x + b
18.10 = 0 + b
b= 18.1 0
b= 18.1
So the equation will be
Y = 18.1
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Linear-equations/436782: Write an equation of the given line containing the given point and parallel to the given line. express in the form y=mx+b
Problem (-5,7);4x=5y+7
the equation of the line is y=
1 solutions
Answer 302135 by mananth(12270) on 2011-04-16 21:29:54 (Show Source):
You can put this solution on YOUR website!4 x -5 y = 7
Find the slope of this line
-5 y = -4 x + 7 0.8
Divide by -5
y = 0.8 x + -1.4
Compare this equation with y=mx+b
slope m = 0.8
The slope of a line parallel to the above line will be the same
The slope of the required line will be 0.8
m=0.8 ,point(-5,7)
Find b by plugging the values of m & the point in
y=mx+b
7=-4.00+b
b=11
m=0.8
Plug value of the slope and b
The required equation isy=0.8x+11
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