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Recent problems solved by 'jb007mi6'

jb007mi6 answered: 53 problems
Jump to solutions: 0..29 , 30..59, >>Next

Rectangles/28337: The perimeter of a rectangle is to be no greater than 300 in., and the length must be 125 in. Write an appropriate inequality, then find the maximum width of the rectangle.
1 solutions

Answer 16733 by jb007mi6(53) About Me  on 2006-03-12 15:47:47 (Show Source):
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so your width has to be 300-250 over 2 so 25


Graphs/29960: May you please help me with this question, it says to plot and label the point corresponding to each given ordered pair; then describe its location. The pairs are:
(4,3)
(3,4)
(-2,5)
(-5,3)
(-2,-1)
(-6,-3)
(1,-3)
(,-3)
(0,4)
(4,0)
(0,-2)
If you can solve this problem, I would really appreciate it. Thanks alot.

1 solutions

Answer 16729 by jb007mi6(53) About Me  on 2006-03-12 15:28:21 (Show Source):
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whatever the "x" coordinate (the first number in the ordered pair) is, is however much left or right you go from the origin.
whatever the "y" coordinate (the second number in the ordered pair) is, is however much up or down you gor from the origin.


Age_Word_Problems/29968: ok please help me,
aead is 5 years older than Jen. Four times Jen's age increased by 3 years equals three times Ed's age diminished by 2 years. Find each person's age.
ed?
Jen?
1 solutions

Answer 16728 by jb007mi6(53) About Me  on 2006-03-12 15:23:27 (Show Source):
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Ed-5=Jen
4(Jen)+3=3(Ed)-2
use "E" and "J" from now on...
so if J=E-5, then you can plug "e-5" everywhere you see a J in the other equation
4(e-5)=3(e)-2
4e-20=3e-2
e=18
Ed is 18 yrs old
Jen is 13 yrs old


Travel_Word_Problems/29961: Elvin drove halfway from ashton to dover at 40 mi/h abd the rest of the way at 60 mi/h. What was his average speed for the whole trip? (Hint: let the distance for the whole trip be, say, 100 mi.)
1 solutions

Answer 16726 by jb007mi6(53) About Me  on 2006-03-12 15:10:41 (Show Source):
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average...40+60
----- = 50mph
2


percentage/29962: how do you change percents into money?
1 solutions

Answer 16724 by jb007mi6(53) About Me  on 2006-03-12 14:59:11 (Show Source):
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multiply by 100


Age_Word_Problems/29965: ok please help this one is hard,
The difference in the age of two girls is 1 year. The sum of their ages is 27. What are their ages?
1 solutions

Answer 16723 by jb007mi6(53) About Me  on 2006-03-12 14:56:09 (Show Source):
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0K...one girl is x and the other is y
you know the following
{x-y=1
{x+y=27
so add both equations and you get 2x=28 so x=14
14-1=y
y=13
the two girls are 13 and 14


Polynomials-and-rational-expressions/29905: Add. Express your result in simplest form.
4/xy + 6/xy
Thank you

1 solutions

Answer 16673 by jb007mi6(53) About Me  on 2006-03-11 22:48:08 (Show Source):


Quadratic_Equations/29892: What are examples of quadratic equations or applications with imaginary numbers?

1 solutions

Answer 16667 by jb007mi6(53) About Me  on 2006-03-11 22:14:37 (Show Source):
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i^2+6i+9
????????


logarithm/29897: please help, I know very little about using the calculator!
log b a= loga/logb
using this formula, find log, 1000
1 solutions

Answer 16665 by jb007mi6(53) About Me  on 2006-03-11 22:08:43 (Show Source):
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well, you don't really need the formula
you can just press 1000 and then log in a calculator. (logs on calculators are base ten so don't worry about that)
you should end up with three


Systems-of-equations/29898: r/gy=x Solve for y
1 solutions

Answer 16664 by jb007mi6(53) About Me  on 2006-03-11 22:02:33 (Show Source):
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multiply both sides by gy to clear the fraction
r=gyx
divide both sides by gx to isolate y
y=r/(gx)


Linear_Algebra/29868: Given f(x) =x^3 and g (x) = 3+6x^2, find (g o f) (x).
Here are the possible answers:
a. none of these
b. 3+6x^2/x^3
c. 3+6x^6
d. 3+6x^2
Thanks for helping
1 solutions

Answer 16636 by jb007mi6(53) About Me  on 2006-03-11 09:52:32 (Show Source):
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that would be "C" because you take "x^3" and plug it in whereever you see an "X" in g.
3+6(x^3)^2
the exponents multiply
3+6x^6


Linear_Algebra/29873: Question:
Given log[10]3=S and log[10]11=T, find log[10]33
Here are the possible answers:
S+T
ST
10^st
10^s+t
1 solutions

Answer 16635 by jb007mi6(53) About Me  on 2006-03-11 09:49:57 (Show Source):
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that would be S+T


Linear_Algebra/29872: Solve: log[8](3x+2)=4
Thanks
1 solutions

Answer 16634 by jb007mi6(53) About Me  on 2006-03-11 09:48:15 (Show Source):
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8^4 = 3x+2
32=3x+2
3x=30
x=10


Travel_Word_Problems/28290: an aircraft travels 1500.2 miles in 1/5 tank. ( a full tank is 88 gallons) how far can they it travel with 120 gallons?
1 solutions

Answer 16633 by jb007mi6(53) About Me  on 2006-03-11 09:43:55 (Show Source):
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set up a proportion
with a half tank 44 gal, the aircraft can travel 1500.2 miles
in a full tank 88 gal, the aircraft can travel 1500.2 * 2 or 3000.4 miles
so with 120 gal, the plane can travel...the following
3000.4 miles ? miles
------------ = ----------
88 gallons 120 gal
cross multiply
88?=360048
divide by 88
and you get aproximately 4091 miles. If this is a trick question, then the tank can not really hold 120 gallons of fuel.


Miscellaneous_Word_Problems/29713: A shoemaker died, leaving behind 17 pairs of men's shoes and boots. In his last will and testament he disposed of them as follows: 1/2 of the collection to his youngest, hardworking, son; 1/3 to the middle son; and 1/9 to "Lazybones", the eldest son.
Understanding that it was not possible to divide the 17 pairs into halves, thirds, and ninths, the exasperated executor of the will tossed in his own footwear, making it a total of eighteen pairs, which he divided as follows: 1/2, or 9 pairs, to the youngest son; 1/3, or 6 pairs, to the middle son; and 1/9, or 2 pairs, to the eldest son.
Upon realizing that adding up 9, 6, and 2 made 17, the executor elatedly retrieved his own pair of shoes and closed the estate.
Question: What's the mistake in the shoemaker's problem?
1 solutions

Answer 16574 by jb007mi6(53) About Me  on 2006-03-10 19:10:20 (Show Source):
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...not sure there is one...i went over it several times...can't get anything


Inequalities/29844: Solve the inequality -3<5-2x/5<9
thanks
1 solutions

Answer 16573 by jb007mi6(53) About Me  on 2006-03-10 19:07:44 (Show Source):
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multiply everything by "5" to clear the fraction
-15<5-2x<45
subtract everything by 5
-20<-2x<40
divide by 2
-10<-x<20
switch the signs to get x
10>x>-20
change it around so it makes sense
-20

Equations/29845: hi thanks for the last answer,heres another one for you: 7y + 1 = 9 + 3y... I think y=2 am I right or way off the mark? your help is always appreciated! :)
1 solutions

Answer 16572 by jb007mi6(53) About Me  on 2006-03-10 19:04:03 (Show Source):
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so you subtract 3y and 1 from both sides of the equation
4y=8
divide both sides by 4
y=2
you were right on!!!


Expressions-with-variables/28386: {3x+y=5
{2x-y=10
Can you please show all work.
1 solutions

Answer 16570 by jb007mi6(53) About Me  on 2006-03-10 18:57:29 (Show Source):
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it helps to label your equations. lets say (3x+y=5 is "1" and the other is "2"
solve each equation for y
"1" ----- y=-3x+5
"2" ----- y=2x-10
since both equations both equal "y" you can set them equal to eachother
-3x+5=2x-10
solve this equation for "X"
-5x=-15
x=3
put the value of "3" into the first (or second) equation
in "1" 3(3)+y=5
9+y=5
y=-4
check your answers in the other equation as well


Equations/28379: I would appreciate help in the following problem: w = P +1 over 2, for 1. Solve.
Thanking you in advance.
1 solutions

Answer 16569 by jb007mi6(53) About Me  on 2006-03-10 18:52:13 (Show Source):
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w=(P+1)/2
multiply both sides by 2 to clear fraction
2w=P+1
subtract P from both sides
2w-P=1
turn around for answer
1=2W-P


Miscellaneous_Word_Problems/28380: Please help. y = 2a - ab + 3, for a.
Appreciate any help.
Thanks.
1 solutions

Answer 16568 by jb007mi6(53) About Me  on 2006-03-10 18:49:31 (Show Source):
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so you have to isolate the "a"
switch the equation around for mathematical purposes
2a-ab+3=y
subtract both sides by 3
2a-ab+3-3=y-3
this is
2a-ab=y-3
factor out an "a"
a(2-b)=y-3
divide both sides by "2-b" to isolate the "a"
a=(y-3)/(2-b)


Numbers_Word_Problems/28381: two consecutive even integers whose sum is 126
three consecutive odd intergers whose sum is 117
two consecutive even integers whose sum is 217
three consecutive even integers whose sum is 396
1 solutions

Answer 16567 by jb007mi6(53) About Me  on 2006-03-10 18:44:59 (Show Source):
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problem #1
one integer is "x" and the other is "x+2" because the two integers are consecutive and even.
x+x+2=126
subtract 2 from both sides
x+x=124
add like terms
2x=124
divide both sides by two
x=62
so one integer is 62 and the other is 64
you can do the others similarly


Triangles/27225: Fidn the measures of two complementary angles, angle A and angle B, if the measure of angle A = 7x+4 and the measure of angle B = 4x+9.
Thanks!
1 solutions

Answer 14801 by jb007mi6(53) About Me  on 2006-02-12 15:39:54 (Show Source):
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since the angles are complimentary, that means the two angles are = 90 degrees.
so
(7x+4)+(4x+9)=90
this is
11x+13=90
11x=77
x=7
plug this into A and B and get
7(7)+4=49+4=53 angle A is 53
4(7)+9=28+9=37 angle B is 27
*53+27=90...so you know it's right


Polynomials-and-rational-expressions/25795: Please help me solve this equation: p^2+6p=0
1 solutions

Answer 13881 by jb007mi6(53) About Me  on 2006-01-29 12:40:40 (Show Source):
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ok ... so you have p common in both terms on the left hand side of the equation
this means you can factor the p like so p(p+6)=0 if you expand the LHS, then you will get the original equation.
now set each factor equal to 0
p=0 and p+6=0
thus,
p=0 and p=-6
hope this helps...


Angles/15231: What is the measure of each interior angle of a regular pentagon?
1 solutions

Answer 7561 by jb007mi6(53) About Me  on 2005-10-13 19:18:52 (Show Source):
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in a regular pentagon, the sides and angles are equal
since there are 5 angles and the whole pentagon has 3 triangles and one triangle is 180 degrees, there are 540 degrees in a pentagon
if X is the # of degrees in one angle of a regular pentagon, you have this equation
5X=540
so each angle is 72 degrees


Divisibility_and_Prime_Numbers/15232: what is the prime factorization in expanded form of
27
1 solutions

Answer 7560 by jb007mi6(53) About Me  on 2005-10-13 19:16:13 (Show Source):
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so since 27 is equal to nine times three
27=9*3
and 9 is equal to
3*3
so substitute
27=3*3*3
so that's the prime factorization or you can write 3^3 or 3 cubed


Signed-numbers/15112: Is this true? (-) + (-) = -
1 solutions

Answer 7516 by jb007mi6(53) About Me  on 2005-10-12 23:39:03 (Show Source):
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it basically depends on the nmbers
if the first number is lower (in value) than the second number, it is true
if the second number is lower than it is false


Expressions-with-variables/15114: I need help with four problems: I need to write a variable expression for each word phrase:
Problem 1: five less than y
Problem 2:the product of a number and 78
Problem 3:the quotient of a number and 9
Problem 4:ten increased by a number
1 solutions

Answer 7515 by jb007mi6(53) About Me  on 2005-10-12 23:36:59 (Show Source):
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1. if y is 10 than five less than 10 is 10-5 so 5 less than y is
y-5
2. let's say your number is x and product means to multiply so it is
x * 78 or 78x
3.the quotient (division) of a number (x) and 9
x / 9
4. 10 increased ( addition) by a number (x)
10+x


expressions/15115: -10x+3 This question is negative ten plus three over
______ five. How can simplify this expression?
5
1 solutions

Answer 7514 by jb007mi6(53) About Me  on 2005-10-12 23:29:49 (Show Source):
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you can make it like so
-10x/5+3/5
divide the first part
-2x+3/5
that's how you simplify


real-numbers/15116: 4(-3x-5))-(10+4x) Simplify? Can someone help me with this?

1 solutions

Answer 7513 by jb007mi6(53) About Me  on 2005-10-12 23:15:07 (Show Source):
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it's easier if you break it down in parts
so the first part
4(-3x+5)
distribute the 4 and get
-12x+20
the next part is
-(10+4x)
if you distribut the negative, you get
-10-4x
so then you have
-12x+20-10-4x
combine like terms
-16x+10


Average/15117: How do you do this problem? 7g+7=4g-2
1 solutions

Answer 7511 by jb007mi6(53) About Me  on 2005-10-12 23:01:06 (Show Source):
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so you subtract 4g from both sides
7g+7-4g=4g-2-4g
this boils down to
3g-7=-2
now add 7 to both sides
3g-7+7=-2+7
this boils down to
3g=5
divide both sides by 3
3g/3=5/3
this boils down to g=5/3
this


Human-and-algebraic-language/14962: The sum of 7 times a number and 7 divided by 2 is 14?
1 solutions

Answer 7434 by jb007mi6(53) About Me  on 2005-10-11 23:41:05 (Show Source):
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lets say your number is x
so the sum of 7times a number and seven/2=14
so i think that it's 7 times a