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lwsshak3 answered: 6525 problems
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3x-2/5=4x+1/3 I don't want to know the answer I just want to know how to do it
1 solutions
Answer 368326 by lwsshak3(6527)   on 2012-02-13 15:27:47 (Show Source):
You can put this solution on YOUR website!The question is
3x-2/5=4x+1/3 I don't want to know the answer I just want to know how to do it
**
The first step is to get rid of the fractions.
Find the LCD (lowest common denominator), in this case=15 (from the 5 and 3)
multiply each term by the LCD
3x-2/5=4x+1/3
45x-6=60x+5
45x-60x=5+6
-15x=11
x=-11/15
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Linear-equations/571933: find the equation of the line that is parallel to 5x+2y=-1 and contains the point (-4,-2)
1 solutions
Answer 368257 by lwsshak3(6527) on 2012-02-13 03:07:19 (Show Source):
You can put this solution on YOUR website!ind the equation of the line that is parallel to 5x+2y=-1 and contains the point (-4,-2)
**
5x+2y=-1
rewrite in standard form for a straight line
2y=-5x-1
y=-5x/2-1/2
slope=-5/2
..
Slope of line parallel to given line=-5/2
Equation: y=-5x/2+b
solving for b using given point (-4,-2)
-2=(-5*-4)/2+b
-2=10+b
b=-12
Equation of parallel line:
y=-5x/2-12
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Triangles/571946: Find the area of the parallelogram with pairs of sides of length 9 and 3, and an angle 36 degrees between two of these sides.
1 solutions
Answer 368256 by lwsshak3(6527) on 2012-02-13 02:48:57 (Show Source):
You can put this solution on YOUR website!Find the area of the parallelogram with pairs of sides of length 9 and 3, and an angle 36 degrees between two of these sides.
**
Area of parallelogram=base*height
base=9
height=3*sin36º
Area=9*3*sin 36º
using calculator
Area=27 sin 36º≈15.87 sq units
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�t�e�s�t/571945: You have a triangle with area 15, a side of length 6, and a side of length 12. Find the value of the angle between these two sides in radians. Assume theta< pi/2
1 solutions
Answer 368255 by lwsshak3(6527) on 2012-02-13 02:37:53 (Show Source):
You can put this solution on YOUR website!You have a triangle with area 15, a side of length 6, and a side of length 12. Find the value of the angle between these two sides in radians. Assume theta< pi/2
**
let x= angle theta
Area of triangle=1/2*base*h
base=12
h=6sinx
..
15=1/2*12*6*sinx
15=36sinx
sinx=15/36
Using calculator
x≈0.43 radians
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Equations/571956: Tom reads at an average rate of 30 pages per hour, while Jan reads at an average rate of 40 pages per hour. If Tom starts reading a novel at 4:30 and Jan begins reading an identical copy of the same book at 5:20, at what time will they be reading the same page?
1 solutions
Answer 368254 by lwsshak3(6527) on 2012-02-13 02:16:03 (Show Source):
You can put this solution on YOUR website!Tom reads at an average rate of 30 pages per hour, while Jan reads at an average rate of 40 pages per hour. If Tom starts reading a novel at 4:30 and Jan begins reading an identical copy of the same book at 5:20, at what time will they be reading the same page?
**
30 pages/hr=30/60 pages/min=1/2 pages/min
40 pages/hr=40/60 pages/min=2/3 pages/min
5:20-4:30=50 min
..
let x=minutes Tom was reading novel
x-50=minutes Jan was reading novel
..
pages tom read=x*1/2=x/2
pages Jan read=2/3*(x-50)
x/2=2/3*(x-50)=(2x-100)/3
LCD=6
3x=2(2x-100)=4x-200
x=200 min=3hrs+20 min
ans:
Time Tom and Jan will be reading from the same page=4:30+3hrs+10 min=7:40
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Miscellaneous_Word_Problems/571975: The perimeter of a rectangular window is 40 feet. The width of the window is 6 feet more than the length. what are the dimensions of the window? the length of the window?
1 solutions
Answer 368253 by lwsshak3(6527) on 2012-02-13 01:44:15 (Show Source):
You can put this solution on YOUR website!The perimeter of a rectangular window is 40 feet. The width of the window is 6 feet more than the length. what are the dimensions of the window? the length of the window?
**
let x=length of the window
x+6=width of the window
perimeter=2*width+2*length
40=2(x+6)+2x
40=2x+12+2x
4x=28
x=7
x+6=13
ans:
length of the window=7 ft
width of the window=13 ft
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Geometry_Word_Problems/571961: angles a and b are complementary angles, and angle b is 14degrees less than angle a. find the measures of angle a and angle b
1 solutions
Answer 368252 by lwsshak3(6527) on 2012-02-13 01:37:01 (Show Source):
You can put this solution on YOUR website!angles a and b are complementary angles, and angle b is 14degrees less than angle a. find the measures of angle a and angle b
**
a+b=90
b=a-14
a+a-14=90
2a=104
a=52
b=a-14=38
ans:
angle a=52º
angle b=38º
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Linear-equations/571965: ). Use the coordinates (1997, 1.26) and (2006, 2.31) to find the slope, or rate of change, between the two points. Describe how you arrived at your answer.
1 solutions
Answer 368251 by lwsshak3(6527) on 2012-02-13 01:30:50 (Show Source):
You can put this solution on YOUR website!Use the coordinates (1997, 1.26) and (2006, 2.31) to find the slope, or rate of change, between the two points. Describe how you arrived at your answer.
**
Slope is defined as the change in y (dependent variable)/change in x (independent variable)
For given ordered pairs, the first number is x, and the second y.
slope=∆y/∆x=(2.31-1.26)/(2006-1997)=1.05/9
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Triangles/571966: i have a question that says "Given the lengths of the three sides, tell whether each of these are right triangles or not"
a)8,15,17
b)9,10,15
i am not sure how to work this out at all help?
1 solutions
Answer 368249 by lwsshak3(6527) on 2012-02-13 01:11:36 (Show Source):
You can put this solution on YOUR website!i have a question that says "Given the lengths of the three sides, tell whether each of these are right triangles or not"
a)8,15,17
b)9,10,15
**
Remember the Pythagorean Theorem?
The square root of the sum of the squares of the two legs(short sides)=hypotenuse(long side)
a) 8^2+15^2=289
√289=17
Therefore, these are dimensions of a right triangle
..
b) 9^2+10^2=181
√181≠15
Therefore, this is not a right triangle
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Money_Word_Problems/571963: $4,200 is invested , part of it at 5% and part at 6%. The total yield at simple interest for one year is 232. How much was invested at each rate?
I figure it is a D=RT problem but I'm not sure how to set it up.
1 solutions
Answer 368247 by lwsshak3(6527) on 2012-02-13 00:50:23 (Show Source):
You can put this solution on YOUR website!$4,200 is invested , part of it at 5% and part at 6%. The total yield at simple interest for one year is 232. How much was invested at each rate?
**
let x=$ amt invested at 5%
4200-x=$ amt invested at 6%
..
5%x+6%(4200-x)=232
.05x+252-.06x=232
.01x=20
x=2000
4200-x=2200
ans:
amt invested at 5%=$2000
amt invested at 6%=$2200
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logarithm/571496: use the properties of logarithm to write each expression as a single logarithm with a coefficient of 1. ln(3)-2ln(4+8),ln(3)-2(ln(4)+ln(8),ln(3)-2ln(4)+ln8
1 solutions
Answer 368089 by lwsshak3(6527) on 2012-02-12 02:46:59 (Show Source):
You can put this solution on YOUR website!use the properties of logarithm to write each expression as a single logarithm with a coefficient of 1. ln(3)-2ln(4+8),ln(3)-2(ln(4)+ln(8),ln(3)-2ln(4)+ln8
**
doing 3 expressions separately
ln(3)-2ln(4+8)=ln[3/12^2]
ln(3)-2(ln(4)+ln(8)=ln[24/4^2]
ln(3)-2ln(4)+ln8=(same as previous expression)
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Numbers_Word_Problems/571499: hey, i realy need some with this question i have bee trying for hours
one number is nine less than twice another, and thier sum is 42. find the two numbers
thanks
1 solutions
Answer 368088 by lwsshak3(6527) on 2012-02-12 02:33:55 (Show Source):
You can put this solution on YOUR website!one number is nine less than twice another, and thier sum is 42. find the two numbers
**
let x=one of the numbers
2x-9=other number
x+2x-9=42
3x=51
x=17
2x-9=25
ans:
The two numbers are 17 and 25
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Travel_Word_Problems/571498: It took Fran 5.4 to drive to her mothers house on saturday morning. On sunday it took her 6 hours to get home. Her average speed was 7 mph slower, what was the average speed on sunday?
1 solutions
Answer 368087 by lwsshak3(6527) on 2012-02-12 02:27:09 (Show Source):
You can put this solution on YOUR website!It took Fran 5.4 to drive to her mothers house on saturday morning. On sunday it took her 6 hours to get home. Her average speed was 7 mph slower, what was the average speed on sunday
**
let x=Fran's average speed on Sunday
x+7=Fran's average speed on Saturday
distance=travel time*speed (same for both days)
..
5.4(x+7)=6x
5.4x+37.8=6x
.6x=37.8
x=37.8/.6=63
ans:
Fran's average speed on Sunday=63 mph
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Mixture_Word_Problems/571484: How many kilos of a third class rice selling at 1.10 per kilo will I mix with 50 kilos of first class rice selling at 1.40 per kilo in order to producerice that can sell at 1.20 per kilo?
help i need the solution :)
1 solutions
Answer 368085 by lwsshak3(6527) on 2012-02-12 02:11:29 (Show Source):
You can put this solution on YOUR website!How many kilos of a third class rice selling at 1.10 per kilo will I mix with 50 kilos of first class rice selling at 1.40 per kilo in order to producerice that can sell at 1.20 per kilo?
let x= kilos of third class rice to mix with 50 kilos of first class rice
1.10x+50*1.40=(50+x)*1.20
1.10x+70=60+1.20x
.10x=10
x=100
ans:
kilos of third class rice to mix with 50 kilos of first class rice=100
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Mixture_Word_Problems/571490: How much pure alcohol must I add to 1 litter of 15% alcohol to produce a 35% alcohol solution?
1 solutions
Answer 368084 by lwsshak3(6527) on 2012-02-12 01:59:26 (Show Source):
You can put this solution on YOUR website!How much pure alcohol must I add to 1 litter of 15% alcohol to produce a 35% alcohol solution?
**
let x= liters of pure alcohol to be added
15%*1+100%*x=35%(x+1)
.15+x=.35x+.35
.65x=.20
x=20/65=4/13
ans:
liters of pure alcohol to be added=4/13
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Age_Word_Problems/571492: Annalyn is 3 years older than Alvin. In 7 years, Alvin's age will be 6/7 of Annalyn's age. How old are they now?
1 solutions
Answer 368083 by lwsshak3(6527) on 2012-02-12 01:45:42 (Show Source):
You can put this solution on YOUR website!Annalyn is 3 years older than Alvin. In 7 years, Alvin's age will be 6/7 of Annalyn's age. How old are they now?**
let x= Alvin's age now
x+3= Annalyn's age now
In 7 years,
x+7= Alvin's age
x+3+7=Annalyn's age
..
(x+7)/(x+10)=6/7
7x+49=6x+60
x=11
x+3=14
ans:
Alvin's age now=11
Annalyn's age now=14
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Age_Word_Problems/571491: Cecile is now four times as old as daisy. Five years ago, the sum of their ages was 45. How old is each now?
1 solutions
Answer 368082 by lwsshak3(6527) on 2012-02-12 01:36:26 (Show Source):
You can put this solution on YOUR website!Cecile is now four times as old as daisy. Five years ago, the sum of their ages was 45. How old is each now?
**
let x=Daisy's age now
4x=Cecile's age now
5 years ago,
Daisy's age =x-5
Cecile's age=4x-5
..
x-5+4x-5=45
5x=55
x=11
4x=44
ans:
Daisy's age now=11
Cecile's age now=44
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logarithm/571344: Let x = log 2, y = log 3, and z = log 10.
Express the logarithm in terms of x, y, and z.
How do i solve it when the question is log 1.5 or log 0.75?
1 solutions
Answer 368052 by lwsshak3(6527) on 2012-02-11 17:26:32 (Show Source):
You can put this solution on YOUR website!Let x = log 2, y = log 3, and z = log 10.
Express the logarithm in terms of x, y, and z.
How do i solve it when the question is log 1.5 or log 0.75?
**
log(1.5)=log(3/2)=log(3)-log(2)=y-x
log (.75)=log(3/4)=log(3)-log(4)=log(3)-log(2^2)=log(3)-2log(2)=y-2x
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Linear_Equations_And_Systems_Word_Problems/571275: "The sum of the digits of a two-digit number greater than 50 is 12. The difference between the digits is 4. Find the two-digit number."
1 solutions
Answer 368049 by lwsshak3(6527) on 2012-02-11 15:14:57 (Show Source):
You can put this solution on YOUR website!The sum of the digits of a two-digit number greater than 50 is 12. The difference between the digits is 4. Find the two-digit number."
**
let u=units digit
let t=tens digit
t+u=12
t-u=4
add
2t=16
2t=16
t=8
u=12-t=4
two digit number: 84
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Mixture_Word_Problems/571292: Perry wants to make 10 gal. of a 58% sugar
solution by mixing together a 70% sugar solution
and a 40% sugar solution. How much of the 70%
sugar solution must he use?
1 solutions
Answer 368048 by lwsshak3(6527) on 2012-02-11 14:59:39 (Show Source):
You can put this solution on YOUR website!Perry wants to make 10 gal. of a 58% sugar
solution by mixing together a 70% sugar solution
and a 40% sugar solution. How much of the 70%
sugar solution must he use?
**
let x=gal of 70% solution Perry must use
10-x=gal of 40% solution Perry must use
..
70%x+40%(10-x)=58%(10)
.7x+.4-.4x=5.8
.3x=5.4
x=18
ans:
gallons of 70% solution Perry must use=18
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Numbers_Word_Problems/571297: one number is seven more than twice another. if their sum is decreased by ten, the result is twelve. find the numbers.
1 solutions
Answer 368047 by lwsshak3(6527) on 2012-02-11 14:50:18 (Show Source):
You can put this solution on YOUR website!one number is seven more than twice another. if their sum is decreased by ten, the result is twelve. find the numbers
**
let x=one of the numbers
2x+7=other numberr
..
x+2x+7-10=12
3x=15
x=5
ans:
numbers are 5 and 17
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Rate-of-work-word-problems/571266: A swimmming pool can be filled up by pipes A and B in 3 hours and 35 minutes. If pipe A can fill the pool in 6 1/2 hours, how long can pipe B fill it alone?
1 solutions
Answer 368041 by lwsshak3(6527) on 2012-02-11 14:39:27 (Show Source):
You can put this solution on YOUR website!A swimmming pool can be filled up by pipes A and B in 3 hours and 35 minutes. If pipe A can fill the pool in 6 1/2 hours, how long can pipe B fill it alone?
**
3hrs and 35 min=215 min
6 1/2 hrs=390 min
let x=minutes pipe B can fill the pool alone
..
sum of individual work rates=work rate working together
1/390+1/x=1/215
1/x=1/215-1/390
1/x=(390-215)/215*390=
1/x=175/83850
x≈479 min
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Probability-and-statistics/571283: How do you find the smallest power of 0.917 that yields a value less than 0.10. The answer book says 27 (rounded up). How did they get that?
1 solutions
Answer 368039 by lwsshak3(6527) on 2012-02-11 14:22:28 (Show Source):
You can put this solution on YOUR website!How do you find the smallest power of 0.917 that yields a value less than 0.10. The answer book says 27 (rounded up). How did they get that.
**
.917^x<0.10
Take log of both sides
xlog(.917)
divide both sides by log(.917) and reverse inequality signs (note: both logs<0)
x>log(0.10)/log(.917)
Using calculator
x>26.574..
The smallest power of 0.917 that yields a value less than 0.10≈27
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Percentage-and-ratio-word-problems/571116: The resistance (in ohms) of a circular conductor varies directly with the length of the conductor and inversely with the square of the radius of the conduction. If 50ft of wire with a radius of 6 x 10^-3 inch has a resistance of 10ohms, what would be the resistance of 100ft of the same wire if the radius is increased to 7 x 10^13 inch?
1 solutions
Answer 367984 by lwsshak3(6527) on 2012-02-11 02:51:48 (Show Source):
You can put this solution on YOUR website!he resistance (in ohms) of a circular conductor varies directly with the length of the conductor and inversely with the square of the radius of the conduction. If 50ft of wire with a radius of 6 x 10^-3 inch has a resistance of 10ohms, what would be the resistance of 100ft of the same wire if the radius is increased to 7 x 10^13 inch?
**
Resistance=10(100/50)[(6*10^-3)/(7*10^13)]^2
=20(6*10^-16)/7)=(120/7)*10^-16≈17.14*10^-16 ohms
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Systems-of-equations/571157: A two- digit is such that the sum of the digits is 11. When the number with the same digits reversed is subtracted from this number, the difference is 9. What is the number?
1 solutions
Answer 367983 by lwsshak3(6527) on 2012-02-11 02:35:17 (Show Source):
You can put this solution on YOUR website!A two- digit is such that the sum of the digits is 11. When the number with the same digits reversed is subtracted from this number, the difference is 9. What is the number?
**
let u=units digit
let t=tens digit
u+t=11
t=11-u
original number=10t+u
reversed number=10u+t
10t+u-10u-t=9
10(11-u)+u-10u-(11-u)=9
110-10u+u-10u-11+u=9
18u=90
u=5
t=11-u=6
ans:
original number=65
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Rate-of-work-word-problems/571158: Susan delivers 108 newspapers in 90 minutes. Stan delivers the same number of newspaper 120 minutes. which of the following formula would allow you to determine the time required to deliver the newspapers by both Susan and Stan working together
1 solutions
Answer 367981 by lwsshak3(6527) on 2012-02-11 02:15:11 (Show Source):
You can put this solution on YOUR website!Susan delivers 108 newspapers in 90 minutes. Stan delivers the same number of newspaper 120 minutes. which of the following formula would allow you to determine the time required to deliver the newspapers by both Susan and Stan working together
**
let x=minutes required by Susan and Stan working together to deliver the newspapers
Susan's work rate=108/90
Stan's work rate=108/120
working together Susan and Stan can deliver 108 newspapers in x minutes
108x/90+108x/120=108
LCD: 90*120
120*108x+90*108x=90*120*108
120x+90x=90*120
210x=10800
x≈51 minutes
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Quadratic-relations-and-conic-sections/570149: A diameter is the segment from (-6,-4) to (3,5) ... Find the equation of the circle.
1 solutions
Answer 367942 by lwsshak3(6527) on 2012-02-10 20:18:51 (Show Source):
You can put this solution on YOUR website!A diameter is the segment from (-6,-4) to (3,5) ... Find the equation of the circle.
**
Standard form of equation for a circle: (x-h)^2+(y-k)^2=r^2, (h,k)=(x,y) coordinates of center, r=radius
Finding mid points of x and y coordinates of given line segment end points:
x=(3-6)/2=-3/2=-1.5
y=(5-4)/2=12=.5
center of circle: (-1.5,0.5)
..
Finding diameter of circle using distance formula:
d^2=(3+6)^2+(5+4)^2=9^2+9^2=81+81=162
d=√162
radius=d/2=√162/2≈6.36
radius^2=40.5
Equation of circle:
(x+1.5)^2+(y-0.5)^2=40.5
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