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Recent problems solved by 'acerX'

acerX answered: 62 problems
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absolute-value/57125: 270g+5(15-g)=164(15)
1 solutions

Answer 38849 by acerX(62) on 2006-10-19 14:52:30 (Show Source):

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270g+5(15-g)=164(15)
Distribute:
270g+75-5g=2460
Isolate variables:
270g-5g=2460+75
Simplify:
265g=2535
Divide both sides by 265:
g=35

Travel_Word_Problems/31358: This question is from textbook Algebra: Structure and Method Book 1
The perimeter of a square garden is 12m greater than the perimeter of a smaller square garden. The area of the larger garden is 105 m squared greater than that of the smaller garden. Find the dimensions of the larger garden.
1 solutions

Answer 18041 by acerX(62) on 2006-03-25 17:26:01 (Show Source):

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s=side of the small garden
s+12=side of the large garden
.
the equation would be: %28side%29%5E2=perimeter

FOIL the left side
s%5E2%2B24s%2B144=s%5E2%2B105

subtract the s%5E2

subtract the 144
24s=-39

divide by 24
s=-1.625

length CANNOT be negative
abs%28s%29=1.625

.
side of the larger garden = s +12
OR
1.625%2B12=13.625m

Angles/31072: One more problem please
I cant solve 9x-55 and 3x-35, could you please help me . I am getting frustrated.
1 solutions

Answer 17784 by acerX(62) on 2006-03-22 20:00:31 (Show Source):

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please see this question is nearly identical
.
http://www.algebra.com/algebra/homework/Angles/Angles.faq.question.31067.html

Linear-equations/31064: please help with the following: Find the y-intercept of the line 3x - 4y = 12.
Find the x-intercept of the same line.
Thank you so much.
1 solutions

Answer 17783 by acerX(62) on 2006-03-22 19:55:28 (Show Source):

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3x-4y=12

subtract 3x
-4y=-3x%2B12

divide by -4
y=%283%2F4%29%2Ax+-3

.
the y intercept is -3
.
X intercept set y = 0
0=%283%2F4%29x-3

add 3

multiply by 4%2F3

Angles/31067: I dont know how to solve for x. 3x+10, x-30.
I get confused. Can you help?
1 solutions

Answer 17782 by acerX(62) on 2006-03-22 19:42:02 (Show Source):

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1) 3x%2B10=0

subtract 10 from both sides
3x=-10

divide both sides by 3
x=-10%2F3

.
2)

add 30 to both sides
x=30

Linear-equations/31065: Please help with son's homework. Find the x- and y-intercepts of y = 8x - 7.
Thank you.
1 solutions

Answer 17780 by acerX(62) on 2006-03-22 19:33:52 (Show Source):

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For y-intercept plug in 0 for x
y=8x-7

For x-intercept plug in 0 for y
y=8x-7

add 7 to both sides
7=8x

divide by 8
x=7%2F8

Polynomials-and-rational-expressions/31044: Simplify and evaluate:
(x^3 y-^4 z^0/5x^6y^8)^3
2 convert to scientific notation:
0.000347
3. For f(x)=2x-11, find f(2).
4. Perform the indicated operations:
(5x^2 - 3x + 2) + (-3x^2 - 5x - 8_ - (x^2 + 3x - 10)

1 solutions

Answer 17778 by acerX(62) on 2006-03-22 19:21:04 (Show Source):

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1) %28%28x%5E3%28y%5E%28-4%29%29z%5E0%29%2F%285x%5E6%28y%5E8%29%29%29%5E3

the negative exponent goes to the denominator
%28%28%28x%5E3%29%28z%5E0%29%29%2F%28%285x%5E6%29%28y%5E4%29%28y%5E8%29%29%29%5E3

anything to the 0 power is 1
%28%28%28x%5E3%29%281%29%29%2F%28%285x%5E6%29%28y%5E4%29%28y%5E8%29%29%29%5E3

combine the y terms by adding the exponent
%28%28%28x%5E3%29%29%2F%28%285x%5E6%29%28y%5E12%29%29%29%5E3

simplify the x terms
%28%281%29%2F%28%285x%5E3%29%28y%5E12%29%29%29%5E3

a power raised to a power multiply the exponents
%281%29%2F%28%28125x%5E9%29%28y%5E36%29%29

.
2) please see this lesson >>http://www.algebra.com/algebra/homework/Exponents/Scientific-Notation.lesson
3) f%28x%29=2x-11

, find f(2)
f%282%29=2%282%29-11

solve the math problem
4) this problem has an underscore in it, which i don't know what this means

Polynomials-and-rational-expressions/31038: I need help simplifying this: %283a+%2B+b%29+%2F+%286a+%2B+2b%29

I came up with this answer and need to know if its correct.
3a + b / 2*(3a + b) = 2 , 3a + b is not equal to zero.
1 solutions

Answer 17775 by acerX(62) on 2006-03-22 18:59:20 (Show Source):

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%283a+%2B+b%29+%2F+%286a+%2B+2b%29

factor out a 2 in the denominator
%283a%2Bb%29%2F%282%283a%2Bb%29%29

cancel the two 3a+b's
1%2F2

Inequalities/31060: This question is from textbook Glencoe Algebra 2: Integration, Applications, Connections
The problem is %283y%29%2F2%2By-5%2F7=4

1 solutions

Answer 17773 by acerX(62) on 2006-03-22 18:53:35 (Show Source):

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{{(3y)/2+y-5/7=4}}} combine the y's
5y%2F2-5%2F7=4

add

multiply by 2/5
y=66%2F35

Graphs/31058: what the slope of 14x+4y=24
1 solutions

Answer 17771 by acerX(62) on 2006-03-22 18:39:24 (Show Source):

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14x%2B4y=24

this needs to be in slope intercept form y=m%2Ax%2Bb

, so subtract 14x
4y=-14x%2B24

divide by 4
y=-%2814%2F4%29%2Ax%2B%2824%2F4%29

simplify

.
slope is m so in this problem the slope is -7%2F2

Radicals/31059: The index is 6, the number in the radical is 128.....ive done a factor tree and broke it down into 6 two's...whats next??
1 solutions

Answer 17770 by acerX(62) on 2006-03-22 18:35:37 (Show Source):

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You are trying to find the sqrt%28128%29

your factor tree should yeild SEVEN 2's for every pair of 2's you bring one out of the radical...
sqrt%28128%29

Exponents-negative-and-fractional/31047: Could you help me simplify this:
x^y-2/x^y+3
1 solutions

Answer 17769 by acerX(62) on 2006-03-22 18:29:24 (Show Source):

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%28x%5E%28y-2%29%29%2F%28x%5E%28y%2B3%29%29

introduce the natural log
ln%28%28x%5E%28y-2%29%29%2F%28x%5E%28y%2B3%29%29%29

use the quotient rule
ln%28x%5E%28y-2%29%29-ln%28x%5E%28y%2B3%29%29

use the power rule
%28y-2%29%2Aln%28x%29-%28y%2B3%29%2Aln%28x%29

set equal to zero, sutract the second side
%28y-2%29%2Aln%28x%29=%28y%2B3%29%2Aln%28x%29

divide by ln(x)
%28%28ln%28x%29%29%2F%28ln%28x%29%29%29%2A%28y-2%29=%28y%2B3%29

anything over itself =1
y-2=y%2B3

There is no solution to this equation because any number you plugin will give you different numbers on both sides.

Exponential-and-logarithmic-functions/31056: This question is from textbook Advanced Algebra
the instructions say to "identify the multiplier for each growth rate."
I'm not sure what to do and number 6 reads as follows: 4 percent. How do I find the multiplier?
1 solutions

Answer 17765 by acerX(62) on 2006-03-22 18:14:19 (Show Source):

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Im not sure of the question here but 4% as a decimal is 0.04.
To use this as a multiplier such as sales tax you would add 1 making the multiplier 1.04

Graphs/31048: Determine if the following two lines are parallel.
y=4/9x+6
4x=9y+2
1 solutions

Answer 17764 by acerX(62) on 2006-03-22 18:12:29 (Show Source):

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y=%284%2F9%29x%2B6

subtract by 2
9y=4x-2

divide by 9
y=%284%2F9%29x-2%2F9

Parallel lines are those who's slope is the same [[both are 4/9]] and their intercepts are different [[which they are]]
Yes they are parallel lines

Radicals/30936: This question is from textbook Beginning Algebra w/MathZone
Find the distance between each pair of points.
(-3,0) and (4,0)
Thank you.
1 solutions

Answer 17763 by acerX(62) on 2006-03-22 18:08:33 (Show Source):

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The distance formula is d=sqrt%28%28x2-x1%29%5E2%2B%28y2-y1%29%5E2%29

d=sqrt%28%284-%28-3%29%29%5E2%2B%280-0%29%5E2%29

Polynomials-and-rational-expressions/31055: This question is from textbook Introductory and Intermediate Algebra
2x 4x + 1
________ + _________ = ______
x + 3 x + 3 x + 3
I realize my alignment is not the best, but I am keeping my fingers crossed that someone understands what I am trying to show. The problem is asking to find the missing expression.
1 solutions

Answer 17762 by acerX(62) on 2006-03-22 18:03:30 (Show Source):

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You are trying to ask this?:
%28%282x%29%2F%28x%2B3%29%29%2B%28%284x%2B1%29%2F%28x%2B3%29%29

= ?
Just combining the top terms will give us an unsimplified answer
%282x%2B4x%2B1%29%2F%28x%2B3%29

this is the most simple form of the answer

Graphs/31049: slope= -1/3,through (-6,2)
find the equation of the line with the given properties
1 solutions

Answer 17761 by acerX(62) on 2006-03-22 17:59:41 (Show Source):

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Please see this previos questions. It is the exact same type of question. Remember that m = slope
http://www.algebra.com/algebra/homework/Expressions-with-variables/Expressions-with-variables.faq.question.30846.html

Graphs/31050: evaluate the function at the values indicated
f(x)=-2/3x-6;find f(-9)
1 solutions

Answer 17760 by acerX(62) on 2006-03-22 17:51:34 (Show Source):

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f%28x%29=-2%2F3x-6

; find

plug -9 in for all x's
f%28-9%29=-2%2F3%28-9%29-6

Radicals/31052: hi i need help on this problem 8 times the square root of X + 3 times the square root of Y minus square root of X. thanks
1 solutions

Answer 17759 by acerX(62) on 2006-03-22 17:45:54 (Show Source):

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8%2Asqrt%28x%2B3%29%2Asqrt%28y%29%2Asqrt%28x%29

I am going to write this all under one square root
8%2Asqrt%28x%2Ay%2A%28x%2B3%29%29

distribute the x and y
8%2Asqrt%28%28x%5E2%29%2Ay%2B3xy%29

the

this is the simplest form of this expression

Equations/31019: 4x+3=-13
1 solutions

Answer 17756 by acerX(62) on 2006-03-22 15:12:28 (Show Source):

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4x%2B3=-13

subtract 3 from both sides
4x=-16

divide by 4
x=-4

Polynomials-and-rational-expressions/31016: This question is from textbook Prealgebra and Introductory Algebra
two divided by the difference of a number and 3, minus 4 plus 1, the result is three halves. find the number
1 solutions

Answer 17755 by acerX(62) on 2006-03-22 15:11:08 (Show Source):

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2%2F%28n-3%29-4%2B1=3%2F2

combine like terms
2%2F%28n-3%29-3=3%2F2

add 3 to both sides
2%2F%28n-3%29=9%2F2

cross multiply
4=9%28n-3%29

distribute
4=9n-27

add 27 to both sides
31=9n

solve for n
n=31%2F9

Angles/31022: AB intersects CD at E. If m angle BED = 5x+20 and m angle CEA = 7x+10, find m angle CEB
1 solutions

Answer 17751 by acerX(62) on 2006-03-22 14:59:55 (Show Source):

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I am not sure how to draw this problem on this site but angle BED will equal and CEA because they are opposite angles. A form of a rule from Geometry. First we need to find these angles
5x%2B20=7x%2B10

subtract 10 from both sides
5x%2B10=7x

subtract 5x from both sides
10=2x

divide by 2
5=x

These angles equal 5 degrees. Knowing that the angle of a line is 180 degrees.
180-5=x

CEB = 175 degrees

Inequalities/31033: This question is from textbook Algebra 1
how do you sovlve it
1 solutions

Answer 17750 by acerX(62) on 2006-03-22 14:52:58 (Show Source):

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We do not and cannot own every book. Please type the question out and resubmit.

Exponents-negative-and-fractional/31032: I just do not understand this
-6x^-3/2x^2 Please help me
1 solutions

Answer 17749 by acerX(62) on 2006-03-22 14:51:38 (Show Source):

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%28-6x%5E%28-3%29%29%2F%282x%5E2%29

know that negative exponents move the term
%28-6%29%2F%28%28x%5E3%29%282x%5E2%29%29

cancel out the %28-6%29%2F2

to get

when we multiply variable we add the exponents 3+2=5
-3%2F%28x%5E5%29

Polynomials-and-rational-expressions/31021: I need some help or advice simplifying this fraction.
10x^2 - 30x + 20 / X^2 - 1
1 solutions

Answer 17748 by acerX(62) on 2006-03-22 14:47:45 (Show Source):

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%2810x%5E2+-+30x+%2B+20%29%2F%28X%5E2+-+1%29

factor out the 10
%2810%28x%5E2-3x%2B2%29%29%2F%28x%5E2-1%29

factor the top and bottom
%2810%28%28x-2%29%28x-1%29%29%29%2F%28%28x%2B1%29%28x-1%29%29

cancel out similar terms
%2810%28x-2%29%29%2F%28x%2B1%29

DONE!

Travel_Word_Problems/31025: Please help me set this up. Fred leaves John's house and drives toward Tampa at 27mph. Kim leaves 2 hours later and drives the same route at 45 mph. How long will it take Kim to overtake Fred?
1 solutions

Answer 17747 by acerX(62) on 2006-03-22 14:26:22 (Show Source):

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Fred's time = x%2F27

or the number of miles [OVER] 27+miles%2Fhour

[[leaving only hours in the answer]]
Kim's time = 2%2Bx%2F45

or two hours plus the number of miles [OVER] 45+miles%2Fhour

setting these two equation equal to each other will give us the number of hours until Kim and Fred are at the same place.
x%2F27=2%2Bx%2F45

multiply both sides by 27 then by 45 to cancel out the denominators
45x=27%2A2%2B27x

subtract 27x from both sides
18x=54

divide by 18
x=3

or 3 hours until Kim overtakes Fred.

Rate-of-work-word-problems/31026: Not sure if it fits in the right category. Here is the question. if 8 lumberjacks can cut down 18 trees in 3 days, how many tress can 28 lumberjacks cut down in 2 days? I am not sure where to start becuase there numbers are usually linked toghther, in this problem they are not so I have no clue/
1 solutions

Answer 17746 by acerX(62) on 2006-03-22 14:16:59 (Show Source):

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First we need to solve the first equation for one lumberjack in one day, X. The equation would be
3%288x%29=18

or one lumberjack can cut down 0.75 trees in one day
Now the second equation:
2%2828x%29=t

where t=total number of trees and x=number of trees one lumberjack can cut down in one day. Plug in the value for X
2%2828%2A0.75%29=t

42 trees

Rational-functions/31027: This question is from textbook Algebra 2
This is section 7.5 page 434 number 22 and i don't understand how to find the points without a graphing calculator. please help.
1 solutions

Answer 17745 by acerX(62) on 2006-03-22 14:03:35 (Show Source):

You can put this solution on YOUR website!
We do not and cannot own every book. Please type the question out and resubmit.

Systems-of-equations/31030: 3-4q=10q+10
1 solutions

Answer 17744 by acerX(62) on 2006-03-22 14:01:57 (Show Source):

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3-4q=10q%2B10

subtract 10 from both sides
-7-4q=10q

add 4q to both sides
-7=14q

divide both sides by 14 and reduce
-1%2F2=q

Polynomials-and-rational-expressions/31029: Need some help multyplying and expressing this problem in simplest form.
(x-3) * (1)
----^3-----------^2----
(2) * (X-3)
1 solutions

Answer 17743 by acerX(62) on 2006-03-22 14:00:05 (Show Source):

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your notation is a little odd for this problem. I am not sure if they are fractions or two seperate problems.
I will answer this question as though they are fractions written as %28%28x-3%29%2F%282%5E3%29%29%2A%281%2F%28%28x-3%29%5E2%29%29

%28%28x-3%29%2F%282%5E3%29%29%2A%281%2F%28%28x-3%29%5E2%29%29

by looking at this problem we see that we can cancel out an x-3 from each fraction leaving us
%281%2F%282%5E3%29%29%2A%281%2F%28x-3%29%29

from

distribute the 8
1%2F%288x-24%29

Graphs/31008: This question is from textbook Beginning Algebra
It is a worksheet and the problem is I am not sure how to graph this
y=x-5
y=3x-7
1 solutions

Answer 17735 by acerX(62) on 2006-03-22 10:36:36 (Show Source):

You can put this solution on YOUR website!
Please refer to this lesson >> http://www.algebra.com/algebra/homework/Linear-equations/Linear-Graphs.lesson
It gives explicit detail about how to graph these equations

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Recent problems solved by 'acerX'