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Recent problems solved by 'THANApHD'

THANApHD answered: 104 problems
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Equations/91270: I have to solve the equation: 12 = t- 6...may I please have some help

1 solutions

Answer 66247 by THANApHD(104) on 2007-08-02 19:11:52 (Show Source):

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12 = t-6
12+6 = t-6+6 (add 6 on both sides)
18= t
t= 18

Equations/91269: I have to solve this equation : p + 9 = 2
May I please have some help?
1 solutions

Answer 66245 by THANApHD(104) on 2007-08-02 19:10:32 (Show Source):

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p+9 = 2
u hav to solve for "p". So u got to hav "p" on one side of equal sign and the other side with the numbers
our only obstacle here is 9, which shares the space with "p". So eliminate it.
p+9-9 = 2-9 (subtract 9 from both sides)
p = -7

tada.... u got the answer

logarithm/91257: This question is from textbook Intermediate Algebra
I do not know how to work this problem. Can you please work this problem step by step resulting in an answer, so that I will be able to grasps how to work it.
^5√x^4y^6
__________
Z^5
The entire problem is under the square root symbol. all of the
numbers are exponents.

Thank you
1 solutions

Answer 66243 by THANApHD(104) on 2007-08-02 19:07:24 (Show Source):

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Actually U'r problem does not tell what to solve for or simplify

Bodies-in-space/91260: What is the locus of all points in a plane that are less than 4 inches from a point A?
1. interior of circle A with a radius 4 inches
2. circle A with radius 4
3. line segment 4 inches long
4. line segment less than 4 inches long
1 solutions

Answer 66241 by THANApHD(104) on 2007-08-02 19:03:48 (Show Source):

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answer is
1. interior of circle A with a radius 4 inches

Age_Word_Problems/91264: In 7 years, rica's age will exceed BC's age by 14 years. Last year, the sum of their ages was 20. how old is Rica?
1 solutions

Answer 66240 by THANApHD(104) on 2007-08-02 19:01:53 (Show Source):

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let rica's present age is x
let BC's present age is y

so after 7 years
x+7 = y+7+14
x-y = 14 -----------1
last year
x-1+y-1=20
x+y = 22 ----------2

1+2 => 2x = 36
x=18
y=4

Radicals/91266: Hello I need some help with evaluate
Evaluate square root 25, if possible
and
evaluate 3 square root of -64, if possible
Thanks a million
1 solutions

Answer 66238 by THANApHD(104) on 2007-08-02 18:56:47 (Show Source):

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sqrt%2825%29+

= +5 or = -5

Cube root of -64 is -4 because
-4%5E3+

= -64

Travel_Word_Problems/91267: This question is from textbook beginning algebra
A bus leaves a station at 1 pm, travelling west at an average rate of 44mi/h. At 2 pm on the same day a second bus leaves the same station, travelling east at a rate of 48 mi/h. Approximately at what time will the two busses be 274 mi apart? This is as far as I got in understanding what to do. I realize I'm dealing with d = r * t, So,
44t + 48(t-1) =274
44t+48t-48=274
92t-48=274
92t=322
Help! please.
Mechelle
1 solutions

Answer 66237 by THANApHD(104) on 2007-08-02 18:53:51 (Show Source):

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y don't u solve for t
t = 322/92
= 3.5 hours
so @ 4.30pm the busses will be 274m apart

Distributive-associative-commutative-properties/89250: 12.Use the distributive property to write an equivalent variable expression.
2(z + 8)
1 solutions

Answer 64901 by THANApHD(104) on 2007-07-20 18:50:06 (Show Source):

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2(z + 8) = 2xZ + 2x8
=2z + 16

Quadratic_Equations/89262: A triangle has sides 2x – 5, 3x + 1, and 4x + 2. Find the polynomial that represents its perimeter.
1 solutions

Answer 64900 by THANApHD(104) on 2007-07-20 18:49:01 (Show Source):

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perimeter = L1 +L2 + L3
= 2x – 5 + 3x + 1 + 4x + 2
= 9x-2

Linear_Algebra/89344: Can you help with find the solution of sets for
|3x+4|< 13
1 solutions

Answer 64899 by THANApHD(104) on 2007-07-20 18:38:04 (Show Source):

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|3x+4|< 13
3x+4<13 and -3x-4>13
3x<9 and -3x>17
x<3 and x>-17/3

Quadratic_Equations/89284: The length of a rectangle is 2 cm more than 5 times its width. If the area of the rectangle is 65 cm2, find the dimensions of the rectangle to the nearest thousandth.
Hint: Call the width x. Then the length is 5x + 2. Now write your equation and solve.
1 solutions

Answer 64898 by THANApHD(104) on 2007-07-20 18:30:07 (Show Source):

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Call the width x. Then the length is 5x + 2.
Area = length x width
Area = x(5x+2)
65 = x(5x+2)
65-65= 5x^2+2x-65
0= 5x^2+2x-65
Solve for x using quadratic formulae

Linear-equations/89300: HOW DO YOU Graph the inequality. y < –3
1 solutions

Answer 64897 by THANApHD(104) on 2007-07-20 18:26:18 (Show Source):

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1. Graph y= -3, its a straght line with a y intersection of -3
2. shade all the space below this line because its y<-3

Quadratic_Equations/89319: P(x)-12x+18x+9
What is the corresponding maximum profit?
1 solutions

Answer 64896 by THANApHD(104) on 2007-07-20 18:22:11 (Show Source):

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Is that 12x^2 ?

Polynomials-and-rational-expressions/89336: i need help solving this for x
2(x-5)^2=3
1 solutions

Answer 64894 by THANApHD(104) on 2007-07-20 18:18:26 (Show Source):

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2(x-5)^2=3 First u got to do is make one side equals to zero
So in this, its easy to take the 3 to other side. So subtact 3 from both sides.
2(x-5)^2-3 = 3-3
2(x-5)^2-3 = 0
Now solve the expand the brackets.
2[x^2-10x+25]-3 = 0
2x^2-20x+50-3 = 0
2x^2-20x+47 = 0
use the quadratic formulae to solve for x

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x = 6.22 or x=3.78

Polynomials-and-rational-expressions/89337: solve each equation for x
x^2+4x+4=7
hint factor the left side
i am very confused by this
1 solutions

Answer 64892 by THANApHD(104) on 2007-07-20 18:10:46 (Show Source):

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x^2+4x+4=7
subtract 7 from each side, so that u can set one side to 0
x^2+4x+4-7 =7-7
x^2+4x-3=0
use the the quadratic formulae.
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%28-4+%2B-+sqrt%28+4%5E2-4%2A1%2A%28-3%29+%29%29%2F%282%2A1%29+

x+=+%28-4+%2B-+sqrt%28+28+%29%29%2F%282%2A1%29+

Money_Word_Problems/89335: This question is from textbook Beginning Algebra
I am not sure I am working this problem correctly could I please get some help on this word problem? Thank you in advance...
The cost of producing a number of items x is given by C=mx + b, in which b is the fixed cost and m is the variable cost (the cost of producing one more item).
a.) If the fixed cost is $40 and the variable cost is $10, write the cost equation.
b.) Graph the cost equation.
I appreciate any insight you can give me on this problem.
1 solutions

Answer 64890 by THANApHD(104) on 2007-07-20 18:02:51 (Show Source):

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C=mx + b b= 40 m= 10
C = 10x + 40

+graph%28+300%2C+200%2C+0%2C+10%2C+0%2C+80%2C10x+%2B+40+%29+

Polynomials-and-rational-expressions/77274: For any positive number a,b,m,n satisfying the condition
m/n = a /(a+b) the difference a/b - m/n is equal to
a) nb / ma
b) mb / na
c) ma / nb
d) ab / mn

1 solutions

Answer 55431 by THANApHD(104) on 2007-04-06 23:06:16 (Show Source):

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m/n = a /(a+b)
so
n/m = (a+b)/a
na = m(a+b)
na = ma + mb - ----- -- -- -(1)

So
a/b - m/n
= (na - mb)/(nb) .. but na = ma + mb ---- (1)
= (ma + mb - mb)/(nb)
= ma/nb

ans 3

Polynomials-and-rational-expressions/77225: Please help.
Determine whether the following trinomial is a perfect square. If it is, factor the trinomial.
x^2 - 24x +48
1 solutions

Answer 55333 by THANApHD(104) on 2007-04-06 11:47:21 (Show Source):

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If it is a perfect square, then
[(middle term)/2x]^2 = last term
(24x/2x)^2 = 144
which is not equal to last term so it is not a perfect square

Polynomials-and-rational-expressions/77223: Please help.
Factor the expression.
a^2(b -c) - 16b^2(b-c)
1 solutions

Answer 55332 by THANApHD(104) on 2007-04-06 11:43:40 (Show Source):

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a^2(b -c) - 16b^2(b-c)
= (b-c)[a^2 - 16b^2] ( common factor (b-c))
= (b-c)[a^2 - (4b)^2]
=(b-c)(a-4b)(a+4b) (difference of squares)

Polynomials-and-rational-expressions/77222: Please help this is confusing to me.
Find a value for k so tha 9m^2 - kn^2 will have the factors 3m + 7n and 3m - 7n.
1 solutions

Answer 55330 by THANApHD(104) on 2007-04-06 11:40:28 (Show Source):

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9m^2 - kn^2 can be written in factor form as like this
9m^2 - kn^2 = (3m+7n)(3m-7n)
9m^2 - kn^2 = 9m^2 - 49n^2
so
kn^2 = 49n^2
k =49

Circles/77215: The radius of a circle is represented by 3x+2, and the length of the diameter
is 22 centimeters. Find the value of x, in centimeters.
1 solutions

Answer 55328 by THANApHD(104) on 2007-04-06 11:37:51 (Show Source):

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C = 2πr
but r = 3x+2
and π = 22/7(approx)
so 2π(3x+2)= 22
2 x22/7 x(3x+2) = 22
2(3x+2) = 22/22 x 7
6x + 4 = 7
6x = 3

x = 3/6 = 0.5 cm

Circles/77219: Find the length of the radius of a circle whose circumference is 18π.
1 solutions

Answer 55326 by THANApHD(104) on 2007-04-06 11:33:39 (Show Source):

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Circumference = 2 x π x r = 18π
2r = 18
r = 9

Graphs/77216: Please help.
Rewrite the middle term as the sum of two terms and then factor completely.
12w^2 + 19w + 4

1 solutions

Answer 55325 by THANApHD(104) on 2007-04-06 11:32:01 (Show Source):

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12w^2 + 19w + 4
=12w^2 + 16w+3w+4
=4w(3w+4)+1(3w+4)
=(3w+4)(4w+1)

Polynomials-and-rational-expressions/77187: Find all real solutions to the equation.
square root x+4 - 2square root x-1 = -1
1 solutions

Answer 55324 by THANApHD(104) on 2007-04-06 11:29:10 (Show Source):

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you mean...
sqrt%28x%2B4%29-2sqrt%28x-1%29=-1

%28sqrt%28x%2B4%29%2B1%29%5E2+=+%282sqrt%28x-1%29%29%5E2

x%2B4+%2B+2sqrt%28x%2B4%29+%2B1+=+4%28x-1%29

%28sqrt%28x%2B4%29%29%5E2++=+%28%283x-9%29%2F2%29%5E2+

x%2B4++=+%28%283x-9%29%5E2%29%2F%282%5E2%29+

Quadratic_Equations/77198: The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the Volume is 1000 cm3.
1 solutions

Answer 55320 by THANApHD(104) on 2007-04-06 11:02:31 (Show Source):

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V = s^3 = 1000
s^3 = 1000
s^3 = 10 x 10 x 10 ( Or find the cubroot of 1000)
s^3 = 10^3
so therefore
s= 10 cm

Equations/77003: 7(3x+ 4) = 8(2x + 5) + 13
1 solutions

Answer 55175 by THANApHD(104) on 2007-04-04 19:31:46 (Show Source):

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7(3x+ 4) = 8(2x + 5) + 13
21x + 28 = 16x + 40 +13
21x - 16x = 53 - 28
5x = 25
x = 5

Numeric_Fractions/77004: Bob did 1/3 of his homework at school. He completed 1/4 of the remaining homework at home before dinner. what fraction remained to be completed after dnner?
1 solutions

Answer 55174 by THANApHD(104) on 2007-04-04 19:28:56 (Show Source):

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so after school the remaining work will be => 1- 1/3 = 2/3
He did 1/4 of the remining work before dinner
So remaing part will be 1-1/4 = 3/4
which equals to => 2/3 x 3/4 of whole the part
= 1/2
So he must do 1/2 of his home work after dinner.

percentage/77006: Science and medicine. A chemist has 300 milliliters (mL) of solution that is 18%
acid. How many milliliters of acid are in the solution?
1 solutions

Answer 55172 by THANApHD(104) on 2007-04-04 19:23:33 (Show Source):

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300 milliliters (mL) of solution that is 18%
300 mL x 18/100 = 18 x 3 = 54mL of acid

Exponents-negative-and-fractional/76993: I am having trouble with these problems. I followed the rules but I keep getting the wrong answer.
1)24(-2)^5
2)(2^1)^2
Could you please show all the steps. Thank You.
1 solutions

Answer 55169 by THANApHD(104) on 2007-04-04 18:42:07 (Show Source):

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24(-2)^5
= 24 x [(-2)x(-2)x(-2)x(-2)x(-2)]
= 24 x (-32)
= -768

(2^1)^2
=(2)^2
=4

Proportions/54091: This question is from textbook
Hey y'all here is my problem.
A 2 inch length in a scale drawing represents an actual length of 24 feet. What is the scale of the drawing???? I have no idea what to do.. Many thanks if you can solve it!
1 solutions

Answer 36378 by THANApHD(104) on 2006-09-29 20:50:55 (Show Source):

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You know 1 foot = 12 inches
so if 2 inch represents 24 feet then
2 inches : 24 feet
2 inches : 24 * 12 inches
2 inches : 288 inches
1 : 144 ( cuz both sides are with the same sign ( inches)

Quadratic-relations-and-conic-sections/54063: 6x^2+9y^2=36
find x and y intercepts and sketch graph
1 solutions

Answer 36311 by THANApHD(104) on 2006-09-29 10:21:05 (Show Source):

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6x^2+9y^2=36
Isolate the Y
9y^2 = 36- 6x^2
y^2 = 36/9 - 6x^2/9
y^2 = 4- 1/3x^2
y = sqrt%284-%281%2F3%29x%5E2%29

For X intercept y=0
0 = sqrt%284-%281%2F3%29x%5E2%29

0 = 4-1/3x^2
-4 = -1/3x^2
X^2= -4/-1/3
= 12
x = sqrt+%2812%29

= + 3.464101615138 or - 3.464101615138

For Y intercept x=0
Y= sqrt%284-%281%2F3%290%5E2%29

= +2 ( as U koe this is a functio there is only one Y itercept)

+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+%284-%281%2F3%29x%5E2%29%5E%281%2F2%29+

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Recent problems solved by 'THANApHD'