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two motocyles travel toward each other from cities that are about 320km apart at a rate of 95km/hr and 65 km/hr. They started at the same time. In how many hours will they meet?
______________________________
2. Alvin paddles for 4 hours with a 5 km/ hr current to reach a campsite. The return trip against the same ccurrent took 9 hours. Find the speed of the boat in still water.
___________________________________________
3. A car travels at a speed of 42mph. if it had gone 14mph faster, it could have madi the trip at a half hour less time. How far apart are he towns?
1 solutions
Answer 305667 by mananth(12270)   on 2011-05-01 02:30:10 (Show Source):
You can put this solution on YOUR website!two motocyles travel toward each other from cities that are about 320km apart at a rate of 95km/hr and 65 km/hr. They started at the same time. In how many hours will they meet?
Add up the speeds
95+65= 160 km/hr
Distance = 320 km
time = 320/160
=2 hours
______________________________
2. Alvin paddles for 4 hours with a 5 km/ hr current to reach a campsite. The return trip against the same ccurrent took 9 hours. Find the speed of the boat in still water.
13km/hr__________________________________________
3. A car travels at a speed of 42mph. if it had gone 14mph faster, it could have madi the trip at a half hour less time. How far apart are he towns?
let distance be x
x/42-x/56= 0.5
56x-42x=0.5 * 42*56
x=84 mi
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percentage/443021: Bayside insurance offers two health plans. Under plan A, Giselle would have to pay the first $100 of her medical bills plus 25% of the rest. Under plan B, Giselle would pay the first $160, but only 20% of the rest.
For what amount of medical bills will plan B save Giselle money? assume she has over $160 in bills.Giselle would save with plan B if she had more than what in medical bills?
1 solutions
Answer 305627 by mananth(12270) on 2011-04-30 23:16:49 (Show Source):
You can put this solution on YOUR website!let the bill amount be x
Plan A= 100 + 25.00% of rest
Plan B= 160 + 20.00% of the rest
Plan B < Plan A
160 + 0.25 (x- 160 ) < 100
160 + 0.20 x -40 < 100
160 - 100 -40 + 25 < 0.25
45 < 0.05 x
900 < x
x should be greater than 900
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Graphs/443074: Determin whether the graphs of the two lines are parallel.
y+3=9x
6x-y=-3
Are the graphs of the given equations parallel?
No or Yes
1 solutions
Answer 305621 by mananth(12270) on 2011-04-30 22:59:25 (Show Source):
You can put this solution on YOUR website!y+3=9x
6x-y=-3
Rewrite both equations in y= mx + b form and compare the co-efficients of x
y= 9x-3
y=6x+3
They are not same
so lines are not parallel
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Equations/443084: Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b.
(-3,6);8x=9y+4
The equation of the line is y=_______
(simplify the answer. By using integers or fractions for any numbers in the expression.)
1 solutions
Answer 305619 by mananth(12270) on 2011-04-30 22:56:35 (Show Source):
You can put this solution on YOUR website!
-9 y = -8 x + 4 0.89
Divide by -9
y = 0.89 x + -0.44
Compare this equation with y=mx+b
slope m = 0.89
The slope of a line parallel to the above line will be the same
The slope of the required line will be 0.89
m= 0.89 ,point (-3,6)
Find b by plugging the values of m & the point in
y=mx+b
6=-2.67+b
b=8.67
m=0.89
Plug value of the slope and b
The required equation is y=0.89 x+8.67
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Quadratic_Equations/442630: Solve the following equation by using the quadratic formula. (Enter solutions from smallest to largest. If there is one solution with a multiplicity of two, enter it in both answer boxes.)
3^2+8x+5=0
x = ?
x = ?
Please show me the steps to get the answer. Thanks
1 solutions
Answer 305397 by mananth(12270) on 2011-04-30 01:53:00 (Show Source):
You can put this solution on YOUR website!3x^2+8x+5=0
Find the roots of the equation by quadratic formula
a=3,b= 8,c= 5
b^2-4ac=64-60
b^2-4ac=4
 =2
x1=(-8+ 2)/6
x1= -1
x2=(-8-2) /6
x2=-1.67
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Money_Word_Problems/442703: If $4,500.00 is investment at 4% simple interest, how much needs to be invested at 10% simple interest so the total interest per year is $730.00.
You need to invest ? at 10% simple interest.
1 solutions
Answer 305392 by mananth(12270) on 2011-04-30 01:20:44 (Show Source):
You can put this solution on YOUR website!$4500 at4%
interest = 0.04*4500
Interest = $180
Total interest required = $ 730
730-180= $550
550 = x*0.1*1
550/0.1=x
= $5500 @ 10 %
CHECK
5500*0.1+4500*0.04 = $730
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Quadratic_Equations/442641: Solve the equation 7y3 - 14y2 + 6y = 0 by first factoring out the common factor y and then using the quadratic formula. (Enter solutions from smallest to largest. If there are any unused answer boxes, enter NONE in the last boxes.)
y = ?
y = ?
y = ?
Please show me the steps to get the answer. Thanks
1 solutions
Answer 305348 by mananth(12270) on 2011-04-29 22:18:29 (Show Source):
You can put this solution on YOUR website!7y3 - 14y2 + 6y = 0
y(7y^2-14y+6)=0
y=0
Find the roots of the equation by quadratic formula
a= 7 b= -14 c= 6
b^2-4ac=196-168
b^2-4ac=28,
 = 5.29
y1=(14+5.29)/14
y1=1.38
y2=(14-5.29) / 14
y2= 0.62
...
y=0
y=1.38
y=0.62
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Quadratic_Equations/442637: Solve the following equation by using the quadratic formula. (Enter solutions from smallest to largest. If there is one solution with a multiplicity of two, enter it in both answer boxes.)
2x^2-5x=7
x = ?
x = ?
Please show me the steps to get the answer. Thanks
1 solutions
Answer 305346 by mananth(12270) on 2011-04-29 22:11:29 (Show Source):
You can put this solution on YOUR website! Find the roots of the equation by quadratic formula
a= 2 b= -5 c= -7
b^2-4ac=25-56
b^2-4ac=81  =9
x1=(5+9)/4
x1= 3.5
x2=(5-9)/4
x2= -1
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Quadratic_Equations/442634: Solve the following equation by using the quadratic formula. (Enter solutions from smallest to largest. If there is one solution with a multiplicity of two, enter it in both answer boxes.)
(x-2)(x+1)=8
x = ?
x = ?
Please show me the steps to get the answer. Thanks
1 solutions
Answer 305344 by mananth(12270) on 2011-04-29 22:08:36 (Show Source):
You can put this solution on YOUR website!(x-2)(x+1)=8
x(x+1)-2(x+1)=8
x^2+x-2x-2=8
x^2-x-10=0
Find the roots of the equation by quadratic formula
a=1,b=-1,c=-10
b^2-4ac=1-40
b^2-4ac=41  =6.4
x1=(1+6.4)/2
x1=3.7
x2=(1-6.4)/2
x2= -2.7
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Graphs/442560: solve the system by graphing
2x-2y=-2
2x+3y=23
1 solutions
Answer 305327 by mananth(12270) on 2011-04-29 21:26:29 (Show Source):
You can put this solution on YOUR website!2x-2y=-2
2x+3y=23
equation1 -2 = -2
when x= 0, y=1(0,1)
when y = 0,x= -1(-1,0)
Equation 2
when x= 0, y=7.67(0,7.67)
when y =0,x=11.5(11.5,0)
Plot the points and draw the line
The solution is (4,5)
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Travel_Word_Problems/442590: Jill is 22 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill walks at 3km/hr. They meet in 4 hours. How fast is Joe walking?
1 solutions
Answer 305322 by mananth(12270) on 2011-04-29 21:12:23 (Show Source):
You can put this solution on YOUR website!Jill 3km/h
Joe xkm/h
towrads each other so combined speed = x+3 km/h
distance = 22 km
t= distance/speed
time = 4 h
22/(x+3)=4
22=4(x+3)
22=4x+12
4x=10
x=2.5 km/h Joe's speed
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Geometry_Word_Problems/442623: the area of a rectangular playground in a child care center is 250 square feet. The width of the playground is 20 feet less than twice the length. Fencing must be purchased by the whole foot and costs $6.95 per foot. Find the cost of fencing purchased to surround the playground.
1 solutions
Answer 305321 by mananth(12270) on 2011-04-29 21:08:33 (Show Source):
You can put this solution on YOUR website!let length be L
width = 2L-20
Area = L * (2L-20)=250
2L^2=20L=250
2L^2-20L-250=0
/2
L^2-10L-125=0
Find the roots of the equation by quadratic formula
a= 1 b= -10 c= -125
b^2-4ac= 100 - 500
b^2-4ac= 600  =24.49
x1=(10+24.49)/2
x1= 17.25
x2=(10-24.49)/ 2
x2= -7.25
Ignore negative value
Length = 17.25
Width = 2*17.25- 20=14.50
Perimeter = 2*17.25+2*14.50
Perimeter= 34.50+29
Perimeter=63.50 feet
Cost = 63.50*6.95
$441.32
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Quadratic_Equations/442619: Hi,
I have an algebra question that states the following: (not sure where to go with this)
If h = -16t^2 + 48t represents the height of a rocket, in feet, t seconds after it was fired, when will the rocket hit the ground?
It does give a hint: "The rocket is on the ground when h = 0"
So it states that the rocket will hit the ground after _______ second(s).
1 solutions
Answer 305317 by mananth(12270) on 2011-04-29 20:56:26 (Show Source):
You can put this solution on YOUR website!At t=0, h=0, it is on ground before firing
h=-16t^2+48
h =0 when it hits the ground after firing
-16t^2+48=0
16t(-t+3)=0
/16
t(-t+3)=0
t= 0 OR t=3
It will hit after 3 seconds
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Travel_Word_Problems/442609: 2 cars are 500feet apart, traveling toward each other at 40mph.How much time does it take to be even with each other?
1 solutions
Answer 305311 by mananth(12270) on 2011-04-29 20:48:02 (Show Source):
You can put this solution on YOUR website!Towards each other so add up speeds.
80 mph
500 ft = 500/5280 miles
t= d/r
t=(500.5280) /(80)
500 / (5 280 * 80) = 0.00118371212
0.00118371212* 3600 = 4.26 seconds
( 1 hour = 3600 seconds)
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Quadratic_Equations/442383: whrite a quadratic equation in the variable x having the given numbers as solutions. type the equation in standard form, ax^2+bx+c=0 solution: 4, only solution
1 solutions
Answer 305122 by mananth(12270) on 2011-04-29 09:59:17 (Show Source):
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Money_Word_Problems/442367: 20000$ is split into two investments one paying 5% and the other paying 6.5% to the nearest cent how much should be invested in each so the yearly intrest from the 5% investment is double the intrest from 6.5% investment
1 solutions
Answer 305120 by mananth(12270) on 2011-04-29 09:53:25 (Show Source):
You can put this solution on YOUR website!let investment at 6.5% be x
Investment at 5 % = (20000-x)
...
5%x= 2*6.5%(20000-x)
multiply by 100
5x=2*6.5(20000-x)
5x=130000-13x
18x=130000
x= 7,222.22 at6. 5%
Balance at 6.5%
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Money_Word_Problems/442265: How do I solve this problem?
A $132,000 trust is to be invested in bonds paying 6%, CDs paying 5%, and mortgages paying 7%. The bond and CD investment together must equal the mortgage investment. To earn a $8420 annual income from the investments, how much should the bank invest in bonds?
1 solutions
Answer 305082 by mananth(12270) on 2011-04-29 02:18:39 (Show Source):
You can put this solution on YOUR website!Bonds --- 6% ----- x
CD's -----5%-------y
Mortages--7%------x+y
...
Interest to be earned = $8420
Investment = 132,000
x+y+x+y = 132,000
2x+2y=132000
x+y = 66,000.........1
6x+5y+7(x+y) = 8420*100
6x+5y+7x+7y=8420*100
13x+12y=8420*100......2
.........
x+y=66000 .............1
13x+12y=842000 .............2
Eliminate y
multiply (1)by -12
Multiply (2) by 1
-12x-12y =-792000
13x+12y= 842000
Add the two equations
x=50000 investment in Bonds
plug value of x in (1)
x +y = 66000
50000 +y = 66000
y = 66000 -50000
y = 16000
y = 16000 Investment in CD's
Mortage = 66,000
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Mixture_Word_Problems/442274: Extremely confused daughter tried to help and she is stumped this is from an algebra practice test word problem is:
A merchant has coffee worth $10 a pound that she wants to mix with 40 pounds of coffee worth $80 a pound to get a mixture that can be sold at $30 a pound. How many pounds of the $10 coffee should be use. Can you explain and show how you came up with answer please. Thank you for any help you can give us.
1 solutions
Answer 305075 by mananth(12270) on 2011-04-29 02:03:00 (Show Source):
You can put this solution on YOUR website!------ Price ---------------- quantity
Coffee type I 80 ---------------- 40
Coffee type II 10 ---------------- x
Total 30 ---------------- 40 + x
80*40+10*x=30(40+x)
3200+10x=1200+30x
10x-30x=1200-3200
-20x=-2000
/-20 \
x= 100 pounds 10% Coffee type II
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Numbers_Word_Problems/442300: A boat traveled 210 miles downstream and back. The trip downstream took 10 hours. The trip back
took 70 hours. What is the speed of the boat in still water? What is the speed of the current?
1 solutions
Answer 305073 by mananth(12270) on 2011-04-29 01:53:55 (Show Source):
You can put this solution on YOUR website!against current x- 70.00 hours
with current x+ 10.00 hours
Distance = same=210
Boat speed =x
current speed =y
t=d/r
210/(x-y)=70.00
70(x-y)=210.00
70x-70y =210 ....................1
210/(x+y)=10.00
10.00(x +y)=210
10.00x+10.00y=210 ...............2
Multiply (1) by 1.00
Multiply (2) by 7.00
we get
70x-70y=210
70x+70y=1470
140x=1680
/140
x =12 mph Boat speed
plug value of x in (1)
70x-70y=210
840-70y=210
-70y=210-840
-70y=-630
y=9 mph current speed
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Mixture_Word_Problems/441743: How much 5% maple syrup and water mixture must be added to 100% pure maple syrup to produce 5 quarts of syrup that is 10% maple syrup?
1 solutions
Answer 304825 by mananth(12270) on 2011-04-28 03:47:00 (Show Source):
You can put this solution on YOUR website! percent ---------------- quantity
Maple syrup 5 ---------------- x 0 Quarts
Maple syrup 100----------------5-x Quarts
Total 10.00% ----------------5 Quarts
5x+100 (5-x)=10*5
5x+500-100x=50
5x-100x =50-500
-95 x= -450
/-95
x=4.74 quarts 5.00%
0.26 quarts 100.00%
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Mixture_Word_Problems/441768: How much 8% saline solution should Kent mix with 80 cubic centimeters of an 18% saline solution to produce a 12% saline solution?
1 solutions
Answer 304823 by mananth(12270) on 2011-04-28 03:38:48 (Show Source):
You can put this solution on YOUR website!------ Percent ----------------quantity
Saline solution I 18 ----------------80
Saline solution II 8 ----------------x
Total 12 ----------------80+x
18*80+8*x=12(80 +x)
1440+8x =960+12x
8x-12x=960-1440
-4x=-480
/-4
x=120 cu.cm 8% Saline solution II
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Mixture_Word_Problems/441789: Martin needs to mix some 40% alcohol solution with some 90% alcohol solution to obtain 15 liters of an 80% solution. How much of the 40% solution and how much of the 90% solution should he use?
I need the answer quickly, so it would be greatly appreciated if I could receive an answer within a few hours. Thank you very much.
1 solutions
Answer 304822 by mananth(12270) on 2011-04-28 03:31:34 (Show Source):
You can put this solution on YOUR website! percent ----------------quantity
Alcohol 40 ----------------x
Alcohol 90 ----------------15-x
Total 80.00% ----------------15
40x+90(15-x)=80 *15
40x+1350-90x=1200
40x-90x =1200-1350
-50x=-150
/-50
x=3 liters 40.00%
12 liters 90.00%
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