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Recent problems solved by 'JBarnum'

JBarnum answered: 2042 problems
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Polynomials-and-rational-expressions/308412: 8x%5E2-18

1 solutions

Answer 220514 by JBarnum(2044) on 2010-05-25 16:19:32 (Show Source):

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8x%5E2-18

factor out a 2
2%284x%5E2-9%29

inside "()" is a perfect square so factoring is easy
highlight%282%282x-3%29%282x%2B3%29%29

if u cant come to this solution use the quadratic formula, but this factoring of a square is much faster. the square looks like this: 2%5E2x%5E2-3%5E2

since b=0 in the abc for the quadratic formula then there will be one factor with a "+" and one with a "-"

Inequalities/308432: 6x-%285-2x%29%2B9%3C=4%28x-2%29

1 solutions

Answer 220511 by JBarnum(2044) on 2010-05-25 16:11:32 (Show Source):

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6x-%285-2x%29%2B9%3C=4%28x-2%29

distribute
6x-5%2B2x%2B9%3C=4x-8

add like terms
8x%2B4%3C=4x-8

subtract 4x and 4 from both sides
4x%3C=-12

divide by 4
highlight%28x%3C=-3%29

Sequences-and-series/308438: WHY DIDNT THEY ANSWER MY MATH PROBLEM

1 solutions

Answer 220509 by JBarnum(2044) on 2010-05-25 16:06:49 (Show Source):

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well what was the math problem, cant be answered without a problem to be solved

Linear-equations/308417: x=-2 y=3x-2 what is y?

1 solutions

Answer 220508 by JBarnum(2044) on 2010-05-25 16:06:02 (Show Source):

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y=3x-2

use substitution for x
y=3%28-2%29-2

multiply

add

Problems-with-consecutive-odd-even-integers/308433: The sum of 3 consecutive odd numbers is 39. What is the answer to this problem when putting it into a equation
1 solutions

Answer 220505 by JBarnum(2044) on 2010-05-25 15:58:46 (Show Source):

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x, x+1, x+2 are the 3 consecutive numbers
x%2Bx%2B1%2Bx%2B2=39

12,13,14 are the numbers u are looking for
check
12%2B13%2B14=39

correct

test/308193: I need help multiplaing rational expressions the questions is %28%282x-6%29%2F%28x%5E2-25%29%29%28%28x%5E2%2B6x%2B5%29%2F%28x%5E2-9%29%29

1 solutions

Answer 220346 by JBarnum(2044) on 2010-05-24 20:24:50 (Show Source):

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%28%282x-6%29%2F%28x%5E2-25%29%29%28%28x%5E2%2B6x%2B5%29%2F%28x%5E2-9%29%29

factor everything u can

%28%282%29%2F%28x-5%29%29%28%28x%2B1%29%2F%28x%2B3%29%29

%282%28x%2B1%29%29%2F%28%28x-5%29%28x%2B3%29%29

Systems-of-equations/307965: 8x+12y=24 answer and alt ending
1 solutions

Answer 220319 by JBarnum(2044) on 2010-05-24 16:59:36 (Show Source):

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um still need more info what are you needing to answer, solving for x? or y? or both? finding line on graph? finding slope? please be specific when writing your question.

Rectangles/307940: a right angle with 24 inches high with a square base 20 inches by 20 inches
1 solutions

Answer 220318 by JBarnum(2044) on 2010-05-24 16:56:30 (Show Source):

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this isnt a question and if you are talking bases then you are in the wrong section thats tipically pyramids or cylinders something 3D, please specify what you are trying to answer. like area or surface area or volume?

Functions/308069: For f(x)=2x+6, find f(3) and find x such that f(x)=10
1 solutions

Answer 220316 by JBarnum(2044) on 2010-05-24 16:48:54 (Show Source):

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f(3)=2(3)+6=6+6=12
f(x)=10=2(x)+6 -> 4=2x -> 2=x

Average/308052: If the mean of seventh values is 35 and six of the values are 36, 48, 69, 48, 32 and 12 find the seventh value.
1 solutions

Answer 220315 by JBarnum(2044) on 2010-05-24 16:44:56 (Show Source):

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%2836%2B48%2B69%2B48%2B32%2B12%2Bx%29%2F7=35

multiply by 7
245%2Bx=245

0 is the seventh value

Square-cubic-other-roots/308058: please help with this prolbem i want to make sure that i got it all right. thanks
-2x%5E2y%283x%5E2%2Bxy%2B5%29

1 solutions

Answer 220309 by JBarnum(2044) on 2010-05-24 16:37:22 (Show Source):

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-2x%5E2y%283x%5E2%2Bxy%2B5%29

distribute
-6x%5E4y-2x%5E3y%5E2-10x%5E2y

Expressions-with-variables/308062: What number is 18% of 324?
1 solutions

Answer 220306 by JBarnum(2044) on 2010-05-24 16:34:40 (Show Source):

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18%=.18
.18(324)=58.32

Polynomials-and-rational-expressions/308027:

1 solutions

Answer 220305 by JBarnum(2044) on 2010-05-24 16:33:32 (Show Source):

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multiply by a common one on top and bottom

multiply accross in all the parts

add the numerators on top and bottom

with a fraction divided by a fraction u multiply first fraction by reciprical of second fraction
%28%284x-6%29%2F%28%28x-3%29%283%2Bx%29%29%29%28%28%283-x%29%283%2Bx%29%29%2F%28-2x%29%29%29

%28%284x-6%29%2F%28%28x-3%29%283%2Bx%29%29%29%28%28%283-x%29%283%2Bx%29%29%2F%28-2x%29%29%29

%28%284x-6%29%2F%28x-3%29%29%28%283-x%29%2F%28-2x%29%29%29

multiply across
%28%28%284x-6%29%283-x%29%29%2F%28%28x-3%29%28-2x%29%29%29

%28-4x%5E2%2B18x-18%29%2F%28-2x%5E2%2B6x%29%29%29

%28-2%282x%5E2-9x%2B9%29%29%2F%28-2%28x%5E2-3x%29%29

Polynomials-and-rational-expressions/308020: a number less 6% of that number equals = 450,000
How would I figure this out?
is it?
n-.06n=450000 ?
if so, how would i figure it out from there?
1 solutions

Answer 220259 by JBarnum(2044) on 2010-05-24 14:39:18 (Show Source):

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n-.06n=450000
1.00n-.06n=450000
1.00-.06=.94
.94n=450000 divide by .94
n=478723.40

Numeric_Fractions/308017: 7. What fraction should be added to 3/8 and 5/12 to make the result 1
I'm not sure if I remember the right way to do this, but this is what I tried.
3/8 + 5/12 + a/b = 1
3/8 = 9/24
5/12 = 10/24
19/24 + a/24 = 1
19/24 + 5/24 = 24/24 = 1
a/b = 5/24
1 solutions

Answer 220257 by JBarnum(2044) on 2010-05-24 14:35:02 (Show Source):

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thats correct just had to find the common denominator and then add the 2 fractions then take that numerator and subtract it from the 1 made by the denominator.
well done

Linear-systems/308004: write an equation with points of (0,4) and (7,-4) (I'm not sure where this line of question should go...)
1 solutions

Answer 220256 by JBarnum(2044) on 2010-05-24 14:31:12 (Show Source):

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its in correct area
u need to know the point slope formula and slope intercept formula.
point slope is m=%28y-y%29%2F%28x-x%29

slope intercept y=mx%2Bb

(0,4)(7,-4)
m=%284-%28-4%29%29%2F%280-7%29

multiply by 7
7y=-8x%2B28

this is your line

Expressions-with-variables/308002: what is the value of x in the equation ?
(square root 5x)-12=13
a. 1/125
b. 1/5
c. 25
d. 125
tthanks!
1 solutions

Answer 220239 by JBarnum(2044) on 2010-05-24 13:59:26 (Show Source):

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sqrt%285x%29-12=13

then

square both sides
5x=625

divide by 5
x=125

Check

correct

Numeric_Fractions/301818: In printing an article of 48,000 words, a printer decides to use two sizes of type. Using the larger type, a printed page contains 1,800 words. Using smaller type a page contains 2,400 words. The article is allocated 21 full pages in a magazine. How may pages must be in smaller type?
1 solutions

Answer 219816 by JBarnum(2044) on 2010-05-21 20:15:52 (Show Source):

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Big type=B Small type=S
B=number of big type pages
S=number of small type pages
B+S=21 , B=21-S
1800B+2400S=48000
1800%2821-S%29%2B2400S=48000

Numeric_Fractions/299515: In order to pass a chapter test a must answer 80% or more of the questions correctly if a chapter test has 25 questions what is the smallest number of questions that the student must answer correctly in order to pass the test?
please help me in steps if possible becuase i have others like this to solve, thank you in advance.
1 solutions

Answer 219814 by JBarnum(2044) on 2010-05-21 20:03:43 (Show Source):

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80%=.8
"of" means multiply
80% of 25 questions =?
.8%2825%29=20

atleast 20 questions must be answered correctly

Numeric_Fractions/300113: G/2 + 6 = 12.1
1 solutions

Answer 219813 by JBarnum(2044) on 2010-05-21 20:00:20 (Show Source):

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G%2F2%2B6=12.1

subtract 6
G%2F2=6.1

multiply by 2
highlight%28G=12.2%29

Numeric_Fractions/300199: 7/15+2/5=?
1 solutions

Answer 219812 by JBarnum(2044) on 2010-05-21 19:58:13 (Show Source):

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15 is LCD because 5*3=15
%287%2F15%29%2B%282%2F5%29%283%2F3%29

Numeric_Fractions/300201: 7%2F6%2B1%2F4%2B7%2F12

1 solutions

Answer 219811 by JBarnum(2044) on 2010-05-21 19:56:10 (Show Source):

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7%2F6%2B1%2F4%2B7%2F12

4 goes into 12, 6 goes into 12, 12 goes into 12 so 12 is LCD
6*2=12 4*3=12
14%2F12%2B3%2F12%2B7%2F12

add

Numeric_Fractions/300213: I need to subtract 1/6-4/5
1 solutions

Answer 219810 by JBarnum(2044) on 2010-05-21 19:52:54 (Show Source):

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multiply denominator together to get common denominator
5*6=30
5/30-24/30
-19/30

Numeric_Fractions/300325: ihave a problem here.
i need to have the total sum equivalent to 1/8.
this should be the total of 4 distinctive fractions.
numeric should be 1.
it goes like this : 1/w +1/x + 1/y + 1/z = 1/8
1 solutions

Answer 219807 by JBarnum(2044) on 2010-05-21 19:48:44 (Show Source):

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doesnt have to
1%2F8=10%2F80

1%2F80%2B2%2F80%2B3%2F80%2B4%2F80=10%2F80=1%2F8

1%2F80%2B1%2F40%2B3%2F80%2B1%2F20=10%2F80=1%2F8

Numeric_Fractions/300403: what is 5 things that you could call 3/4
1 solutions

Answer 219805 by JBarnum(2044) on 2010-05-21 19:43:08 (Show Source):

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fraction, decimal, number, percent, three quarters
3/4, .75, 75%

Numeric_Fractions/300559: answer & explanation for x/3 + x/5
1 solutions

Answer 219803 by JBarnum(2044) on 2010-05-21 19:38:48 (Show Source):

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%28x%2F3%29%2B%28x%2F5%29

this is finding the Lowest Common Denominator, or just making the denominator the same so u can add the two fractions together. best way is just to multiply the denominators together 3*5=15 so 15 is going to be the denominator. now u multiply by a one that will make the denominator of the fraction = to 15.
%28x%2F3%29%285%2F5%29%2B%28x%2F5%29%283%2F3%29

%28x%2F3%29%285%2F5%29%2B%28x%2F5%29%283%2F3%29

now add the numerators
highlight%288x%2F15%29

Numeric_Fractions/301007: i need to know 356/100 in lowest term

1 solutions

Answer 219801 by JBarnum(2044) on 2010-05-21 19:33:24 (Show Source):

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start with basics divide each by 2
178%2F50

divide by 2 again
highlight%2889%2F25%29

25 is only divisible by 1,5,25 none of thos go into 89 evenly so this is ur lowest fraction form

Numeric_Fractions/303118: express (3x + 1)/(3x+1)(x+5)(2x-1) in partial fractions.
Please help! thankyou
1 solutions

Answer 219800 by JBarnum(2044) on 2010-05-21 19:29:04 (Show Source):

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not quite getting what u mean
%283x%2B1%29%2F%28%283x%2B1%29%28x%2B5%29%282x-1%29%29

cross%283x%2B1%29%2F%28cross%283x%2B1%29%28x%2B5%29%282x-1%29%29

%281%2F%28x%2B5%29%29%281%2F%282x%2B1%29%29

Numeric_Fractions/303363: 2/3 X + 5 = 10
I don't know how to figure this out. Don't know what to do first
Also need to know how to subtract
11/12 - 5/9 divided by 2/3
Thanks very much!
1 solutions

Answer 219797 by JBarnum(2044) on 2010-05-21 19:24:26 (Show Source):

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%282%2F3%29X%2B5=10

first thing is to subtract 5 from both sides of = sign
%282%2F3%29X=5

with a fraction before X you would want to multiply by its reciprical to both sides
cross%28%283%2F2%29%282%2F3%29%29X=5%283%2F2%29

%2811%2F12+-+5%2F9%29%2F%282%2F3%29 find the Lowest Common Denominator for the 2 fractions in the numerator 9*4=36 and 12*3=36 so 36 is the LCD to change the fractions multiply by the common one to get 36 as the denominator
%28%28%2811%2F12%29%283%2F3%29%29-%28%285%2F9%29%284%2F4%29%29%29%2F%282%2F3%29 multiply across numerator
%28%2833%2F36%29-%2820%2F36%29%29%2F%282%2F3%29 subtract the numerator fractions
%2813%2F36%29%2F%282%2F3%29 when dividing by a fracton it is the same as multiplying by the fractions reciprical
%2813%2F36%29%283%2F2%29 cross cancel what u can
%2813%2F12cross%2836%29%29%281cross%283%29%2F2%29 multiply accros
highlight%2813%2F24%29

Numeric_Fractions/304066: y^2-25/by-40 * y-6/y+5
I believe this pro. needs to be mulyiplied and if possible simplify.
Thank for helping!!!
1 solutions

Answer 219755 by JBarnum(2044) on 2010-05-21 16:33:45 (Show Source):

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%28%28y%5E2-25%29%2F%28by-40%29%29%28%28y-6%29%2F%28y%2B5%29%29

first thing is to myltiply straight across
%28%28y%5E2-25%29%28y-6%29%29%2F%28%28by-40%29%28y%2B5%29%29

expand the perfect square
%28%28y-5%29%28y%2B5%29%28y-6%29%29%2F%28%28by-40%29%28y%2B5%29%29

%28%28y-5%29cross%28y%2B5%29%28y-6%29%29%2F%28%28by-40%29cross%28y%2B5%29%29

thats as reduce as i can get it

Numeric_Fractions/305439: what is 22x+7-3 divided by four = 14x +32 x 2 divided by four?
1 solutions

Answer 219754 by JBarnum(2044) on 2010-05-21 16:17:58 (Show Source):

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%2822x%2B7-3%29%2F4=%2814x%2B32%2A2%29%2F4

multiply both sides by 4
4%2822x%2B7-3%29%2F4=4%2814x%2B32%2A2%29%2F4

cross%284%29%2822x%2B7-3%29%2Fcross%284%29=cross%284%29%2814x%2B32%2A2%29%2Fcross%284%29

simplify

subtract 14x
8x%2B4=64

subtract 4
8x=60

Divide by 8
x=60%2F8

reduce

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Recent problems solved by 'JBarnum'