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Travel_Word_Problems/203272: Juan is getting a cab to travel 5 miles home. The cab is charging him %.50 for the first (1/5) mile and $.20 for all additional (1/10) miles. What is the total for his cab ride.
1 solutions

Answer 153355 by Mathtut(3670) on 2009-07-16 12:37:06 (Show Source):

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1/5 is equivilant to 2/10
:
5 miles is equivilant to 50/10
:
so if we subtract 2/10 from 50/10 we get 48/10(additional miles)
:
so we have $.5 + $.2(48)=.5+9.6=$10.1 total

Equations/201050: Factor completely.
2x^2 - 12x + 16

1 solutions

Answer 151285 by Mathtut(3670) on 2009-06-24 16:47:46 (Show Source):

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%282x-4%29%28x-4%29

Equations/201052: Solve the equation.
36x - 2 = 6
1 solutions

Answer 151284 by Mathtut(3670) on 2009-06-24 16:46:20 (Show Source):

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36x-2=6
:
36x=8.......added 2 to both sides
:
x=8/36=2/9

Quadratic_Equations/199376: Analytic Geometry
20.Find the diameter and the area of the circle defined by x^2+y^2=64
Thank you...
1 solutions

Answer 150212 by Mathtut(3670) on 2009-06-11 23:28:18 (Show Source):

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x%5E2%2By%5E2=64

:
r=8 ...so diameter = 16
:
area = %28pi%298%5E2

:
area=

expressions/199378: What expression is equal to 1/5?
1 solutions

Answer 150211 by Mathtut(3670) on 2009-06-11 23:25:21 (Show Source):

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many expressions are equal to 1/5
:
5/25 or 3/15 or 10/50....there is infinite expressions that equal 1/5

Quadratic_Equations/199439: Can you give me an example of a quadratic equation for D>0?
1 solutions

Answer 150210 by Mathtut(3670) on 2009-06-11 23:23:26 (Show Source):

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x%5E2%2B3x-9=0

'
:
D=9-(4)(1)(-9)=45

Quadratic_Equations/199440: Can you give an example of a quadratic equation for D<0 (negative)?
1 solutions

Answer 150209 by Mathtut(3670) on 2009-06-11 23:20:29 (Show Source):

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x%5E2%2B3x%2B9=0

:
D=9-4(1)(9)=-27

Number-Line/199808: Hello,
I am stuck again and at the end of my rope, please help me!! I need help with the following problems:
1) Find the equation, in standard form, of the line perpendicular to 2x + 3y = -5 and passing through (3,-5). Write the equation in standard form, with all integer coefficients.
2) Solve the system of equations using the substitution method. If the answer is a unique solution, present it as an ordered pair: (x,y). If not, specify whether the answer is "no solution" or "infinitely many solutions" and state how you arrived at that conclusion.
-7x + y = 4
2x + 8y = 0
Any help you can give will be greatly appreciated.
Thanks
1 solutions

Answer 150207 by Mathtut(3670) on 2009-06-11 22:47:57 (Show Source):

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1) Find the equation, in standard form, of the line perpendicular to 2x + 3y = -5 and passing through (3,-5). Write the equation in standard form, with all integer coefficients
:
slope of 2x+3y=5 is 3y=-2x+5--->y=(-2/3)x+5........-2/3
:
slope of line perpendicular to this line would be -3/2
:
now using point slope formula y+5=-3/2(x-3)
:
y+5=-3/2x+9
:
2y+10=-3x+28
:
3x+2y=18(standard form)

Inequalities/199811: We are given AB=12,CD=6,EF=18 and GH=24
Pair up the equal measures
GH+EF
EF-CD
GH-EF
AB-CD
GH-AB
EF+2AB
Please work out answers
1 solutions

Answer 150206 by Mathtut(3670) on 2009-06-11 22:46:40 (Show Source):

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I will do a few
:
GH+EF=24+18=42
:
EF-CD=18-6=12
:

Linear-systems/199681: This question is from textbook Beginning Algebra
i need to solve this using the substitution method
8x+2y-7=0
-2x-1y+2=0
1 solutions

Answer 150203 by Mathtut(3670) on 2009-06-11 22:17:43 (Show Source):

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8x+2y-7=0........................eq 1
-2x-1y+2=0---->y=-2x+2...........eq 2
:
take y's value from eq 2 and substitute it into eq 1
:
8x+2(-2x+2)-7=0
:
8x-4x+4-7=0
:
4x=3
:
x=3/4
:
y=-2(3/4)+2=1/2

Equations/199812: v - 4(4 - v)= -2(2v-1)
1 solutions

Answer 150202 by Mathtut(3670) on 2009-06-11 22:07:38 (Show Source):

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v-16+4v=-4v+2
:
9v=18
:
v=2

Quadratic_Equations/199813: This is a proportion problem I am having trouble with
x/4=(x+8)/x
Thank you for your help
1 solutions

Answer 150201 by Mathtut(3670) on 2009-06-11 22:06:03 (Show Source):

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x%2F4=%28x%2B8%29%2Fx

:
x=8 or -4

Miscellaneous_Word_Problems/198465: Alfred wants to invest $4,000 at 6% simple interest rate for 5 years. How much interest will he receive?
This Question is from the TABE Test.
1 solutions

Answer 148985 by Mathtut(3670) on 2009-05-31 15:29:10 (Show Source):

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I=p*r*t
:
I=4000*.06*5
:
I=1200

Quadratic_Equations/197853: What is the slope of the line with the equation 2x + 3y + 6 = 0 ?
1 solutions

Answer 148358 by Mathtut(3670) on 2009-05-26 17:53:14 (Show Source):

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write in slope intercept form y=mx+b where m is the slope and b is the y intercept
:
3y=-2x-6
:
y=(-2/3)x-2
:
m(slope)=-2/3

Quadratic_Equations/197850: 11. Write a quadratic equation with roots of 2/3 and -4/5 in the form ax^2+bx+c=0, where a, b, and c are integers.
Thanks
1 solutions

Answer 148355 by Mathtut(3670) on 2009-05-26 17:50:54 (Show Source):

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x-2%2F3%29%28x%2B4%2F5%29=0

}
:

x%5E2%2B%284%2F5%29x-%282%2F3%29x-8%2F15=0

Quadratic_Equations/197851: Can you please help me to solve this equation (x+10)(2x-3)=54? I dont know how to solve it using quadratic equations. Thank you very much!!!
1 solutions

Answer 148354 by Mathtut(3670) on 2009-05-26 17:47:59 (Show Source):

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%28x%2B10%29%282x-3%29=54

multiplied terms
:
2x%5E2%2B17x-84=0

gathered like terms into quadratic form
:
2x-7%29%28x%2B12%29

factored
:
x=7/2 and x=-12

Quadratic-relations-and-conic-sections/197848: -1/16x2=y
find the focus and directric of the parabola
1 solutions

Answer 148352 by Mathtut(3670) on 2009-05-26 17:40:06 (Show Source):

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y=%28-1%2F16%29x%5E2

:
1/4p=-1/16
:
4p=-16
:
p=-4
:
focus is at (0,-4)
:
directrix is at y=4
:
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C%28-1%2F16%29x%5E2%29

Quadratic_Equations/197849: 10.a) Write a quadratic equation in the form ax^2+bx+c=0 with roots of 6 and -7.
b)What would happen to the roots if you multiplied both sides of the equation in part a) by 3? Explain.
thanks
1 solutions

Answer 148350 by Mathtut(3670) on 2009-05-26 17:35:24 (Show Source):

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%28x-6%29%28x%2B7%29=0

--->

Exponential-and-logarithmic-functions/197733: write an equation for the line that contains the point (4,-1) and is perpendicular to the equation y=2/3x + 7
1 solutions

Answer 148349 by Mathtut(3670) on 2009-05-26 17:32:19 (Show Source):

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first we must find the slope of the equation y=(-2/3)x+7......since this is in point slope form....we can see the slope is -2/3. now we know that any line perpendicular to this line will have a slope that is the negative reciprical of it.....the negative reciprical of -2/3 is 3/2
:
now we have the slope 3/2 and a point (4,-1)...using the point slope formula we have
:
y-(-1)=(3/2)(x-4)
:
y+1=(3/2)x-6 -->y=(3/2)x-7

Exponential-and-logarithmic-functions/197734: write an equation for the line that contains the point (7,0) and is perpendicular to the equation y= -12x - 8
1 solutions

Answer 148347 by Mathtut(3670) on 2009-05-26 17:28:39 (Show Source):

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first we must find the slope of the equation y=-12x-8......since this is in point slope form....we can see the slope is -12. now we know that any line perpendicular to this line will have a slope that is the negative reciprical of it.....the negative reciprical of -12 is 1/12
:
now we have the slope and a point (7,0)...using the point slope formula we have
:
y-0=(1/12)(x-7)
:
y=(1/12)x-7/12 or in standard form multiply all terms by 12
:
12y=x-7--->x-12y=7(standard form)

Quadratic_Equations/197754: This question is from textbook

1 solutions

Answer 148344 by Mathtut(3670) on 2009-05-26 17:24:24 (Show Source):

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tutors have no access to books problems.......please submit actual problem..thanks Mathtut

Coordinate-system/197781: the line of an equation w/ a slope of 4 goes through [2,3] what is the y cordinate of the point the line goes through when the x cordinate is 6?
1 solutions

Answer 148343 by Mathtut(3670) on 2009-05-26 17:19:44 (Show Source):

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slope intercept formula
:
y-3=4(x-2)
:
y-3=4x-8
:
y=4x-5
:
so when x=6 y=4(6)-5=19

Divisibility_and_Prime_Numbers/197803: Round the quotient to the nearest hundredth: 11 ÷ 6

1 solutions

Answer 148342 by Mathtut(3670) on 2009-05-26 17:17:35 (Show Source):

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11/6=1.83333......rounded is 1.83

Divisibility_and_Prime_Numbers/197804: Round the quotient to the nearest hundredth: 17.44 ÷ 3

1 solutions

Answer 148341 by Mathtut(3670) on 2009-05-26 17:16:55 (Show Source):

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17.44/3=5.81333....rounded is 5.81

Divisibility_and_Prime_Numbers/197805: Round the quotient to the nearest hundredth: 9.061 ÷ 7
1 solutions

Answer 148340 by Mathtut(3670) on 2009-05-26 17:16:03 (Show Source):

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9.061 ÷ 7=1.2944.......rounded 1.29

test/197824: determine the slope and y intercept of the graph of 12+3y=-2x
1 solutions

Answer 148338 by Mathtut(3670) on 2009-05-26 17:14:08 (Show Source):

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write in slope intercept form which is y=mx+b.where m is the slope and b is the y intercept
:
3y=-2x+12
:
y=(-2/3)x+4........m=-2/3 and y intercept is 4:(0,4)

Polynomials-and-rational-expressions/197830: Factor, The expression by factoring out the largest possible common factor.
4b(2a + 9c) - 7d(2a + 9c)
1 solutions

Answer 148337 by Mathtut(3670) on 2009-05-26 17:12:32 (Show Source):

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%282a%2B9c%29%284b-7d%29

factoring out 2a+9c

Polynomials-and-rational-expressions/197845: (4y-3) (4y+3)
1 solutions

Answer 148335 by Mathtut(3670) on 2009-05-26 17:11:20 (Show Source):

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16y%5E2-9

y terms cancel out(difference of squares)

Quadratic_Equations/197844: 9. Write a quadratic equation in factored form for each situation.
a) The roots of the equation are 5 and 4.
b) The roots of the equation are -2 and 3.
Thanks
1 solutions

Answer 148334 by Mathtut(3670) on 2009-05-26 17:10:01 (Show Source):

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a) %28x-5%29%28x-4%29=0

--->

:
:
b)

--->

Divisibility_and_Prime_Numbers/197834: Round the quotient to the nearest hundredth: 81.6 ÷ 29
1 solutions

Answer 148326 by Mathtut(3670) on 2009-05-26 16:26:27 (Show Source):

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81.6/29=2.8137.....rounded 2.81

Polynomials-and-rational-expressions/197831: Factor x^2-7x-44
factor by grouping h^4-h^3+h-1
1 solutions

Answer 148325 by Mathtut(3670) on 2009-05-26 16:25:02 (Show Source):

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%28x-11%29%28x%2B4%29

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Recent problems solved by 'Mathtut'