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Average/293216: if john travel 10 miles at 5 miles per hour,12 miles at 4 miles per hour, and 18 in three hours, what was his average speed for the trip
1 solutions

Answer 211669 by richwmiller(9135) About Me  on 2010-04-17 11:28:21 (Show Source):
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Notice: It is 18 in three hours for 6 mph
It is not (5+4+6)/3=15/3=5 mph
d=r*t
10=5*2
12=4*3
18=6*3
average r=d/t
(10+12+18)/(2+3+3)=40/8=5 mph


Pythagorean-theorem/293208: A ladder is resting against a wall. The top of the ladder touches the wall at a height of 18 feet. Find the length of the ladder if the length is 6 feet more than its distance from the wall
Could someone help me with this?
Thank you
1 solutions

Answer 211668 by richwmiller(9135) About Me  on 2010-04-17 11:08:51 (Show Source):
You can put this solution on YOUR website!
The wall and the floor form a right angle.
The hypotenuse is the ladder
a^2+b^2=c^2
a=18 height
b=c-6 distance from wall
If the length means the length of the ladder
"if the length is 6 feet more than its distance from the wall"
18^2+(c-6)^2=c^2
18^2+c^2-12c+36=c^2
18^2-12c+36=0
18*18+18*2-12c=0
18(18+2)-12c=0
18*20=12c
3*20=2c
30=c
The ladder is 30 ft
The foot of the ladder is 24 feet from the wall
check
18^2+24^2=30^2
ok
Just curious, what did you think would happen if you didn't ask "Could someone help me with this?"?


Graphs/293203: how would I graph -3<=x<=6
1 solutions

Answer 211665 by richwmiller(9135) About Me  on 2010-04-17 10:55:44 (Show Source):
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Find x=-3 and mark it
Find x=6 and mark it
You want everything between those two marks including those two marks.


Average/293200: A week ago, Sandy’s seasonal Little League batting average was 360. After five more at bats this week, Sandy’s batting average is up to 400. What is the smallest number of hits that Sandy could have had this season?
1 solutions

Answer 211664 by richwmiller(9135) About Me  on 2010-04-17 10:52:42 (Show Source):
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x/y=.36,
(x+z)/(y+5)=.4,
z<=5
9 before the last five at bats
12 after the last five
9/25 3 of the last five
9/25=.36
12/30=2/5=.4
18/50 4 of the last 5
18/50=.36
22/55=2/5=.4
27/75 5 of the last 5
27/75=.36
32/80=4/10=2/5=.4


Graphs/293154: Graph
y>= -5
x>= 6

1 solutions

Answer 211648 by richwmiller(9135) About Me  on 2010-04-17 10:03:06 (Show Source):
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find (6,-5) on your graph paper.
Everything to the right and above the point is to be shaded including that point.
It should look like a rectangle.


Quadratic_Equations/292353: How do you make a table of values and graph y<-x^2+x? Everytime i graph it i get a graph that looks nothing like the one in the back of my book i cant figure out the nubers to put in for x in the table of values because my teacher said to find the vertex and use it for the middle of the table but it is not working for me
1 solutions

Answer 211646 by richwmiller(9135) About Me  on 2010-04-17 09:57:59 (Show Source):
You can put this solution on YOUR website!
so what does the graph in the book look like?
What is the vertex that you found?
x=-b/2a=
-1/2*(-1)=
1/2
y=-x^2+x
y=-1/4+1/2=1/4
The vertex is (1/2,1/4)
If you got something else that will throw your graph off.


Radicals/293159: What are the steps to solving this problem?
* ^5 = to the fifth power.
/ = fraction
100a^4/144b^8 (under a radical)
1 solutions

Answer 211642 by richwmiller(9135) About Me  on 2010-04-17 09:47:17 (Show Source):
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what is under a radical and which radical? square root? cube root?


Numbers_Word_Problems/293142: The denominator of a certain fraction is 8 more than numerator. If both parts of the original fraction are added with 6, the new fraction becomes 9/13 . Find the original fraction.
1 solutions

Answer 211641 by richwmiller(9135) About Me  on 2010-04-17 09:45:54 (Show Source):
You can put this solution on YOUR website!
(x+6)/((x+8)+6)=9/13
x=12
original fraction 12/20
check
12+6/20+6=18/26=9/13
ok


Linear_Equations_And_Systems_Word_Problems/293158: 2. As you are leaving the community, you notice another new community just down the street. Because you are in the area, you decide to inquire about it.
a. The sales representative here tells you they also have two floor plans available, but they only have 38 homes still for sale. Write an equation that illustrates the situation. Use x and y to denote floor plan one and floor plan two respectively.
X+y=38
b. The representative tells you that floor plan one sells for $175,000 and floor plan two sells for $200,000. She also mentions that all the available houses combined are worth $7,200,000. Write an equation that illustrates this situation. Use the same variables you used in Part a.
c. Use elimination to determine how many houses are available in each floor plan. Explain how you arrived at your answer.

1 solutions

Answer 211634 by richwmiller(9135) About Me  on 2010-04-17 09:30:12 (Show Source):
You can put this solution on YOUR website!
http://www.algebra.com/algebra/homework/Graphs/Graphs.faq.question.178482.html
and also
http://www.algebra.com/algebra/homework/word/Linear_Equations_And_Systems_Word_Problems.faq.question.227832.html


Length-and-distance/293165: how i guess, just see co-ordinate of several points that which points are shortest distance without using well known pythagoren distance formula . here actually i need to guess approximate shortest distance but not actual distance of two points.

1 solutions

Answer 211633 by richwmiller(9135) About Me  on 2010-04-17 09:27:11 (Show Source):
You can put this solution on YOUR website!
Huh?
Give an example!


Complex_Numbers/293139: Please help me solve this equation: +%28%28x%5E2+-+x%29%2F3%29+%2B+%281%2F3x%29+
1 solutions

Answer 211632 by richwmiller(9135) About Me  on 2010-04-17 09:25:23 (Show Source):
You can put this solution on YOUR website!
This is not an equation and so there is nothing to solve.
See notes on similar problem that you submitted.


Proportions/293138: Please help me solve this equation: +%28x%5E2-x%2F3%29+%2B+%28+1%2F3x%29+
1 solutions

Answer 211631 by richwmiller(9135) About Me  on 2010-04-17 09:23:39 (Show Source):
You can put this solution on YOUR website!
This is not an equation and so there is nothing to solve.
BTW You submitted an almost identical problem.
Website rules prohibit similar problems.
Also both problems in the incorrect categories.


Polynomials-and-rational-expressions/293192: 1/2-1/4 divided by 3/8+1/16
I got
9/16-4/16 divided by 6/16+1/16
answer 6/16 times 16/1 cancel the 16's
and it is 5
1 solutions

Answer 211627 by richwmiller(9135) About Me  on 2010-04-17 09:18:22 (Show Source):
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(8/16-4/16)/(6/16+1/16)
%284%2F16%29%2F%287%2F16%29
%284%2F16%29%2A%2816%2F7%29
4/7
Your "work" below is pure nonsense!
Did you even try after the first line?
9/16-4/16 divided by 6/16+1/16
[1/2=8/16 not 9/16]
[using your numbers It should be 5/16 over 7/16
answer 6/16 times 16/1 cancel the 16's
[again using your numbers
6/1=6 not 5]
and it is 5
but what happened to the whole numerator ? 9/16-4/16
and how did you go from
6/16+1/16
to
6/16 times 16/1
You went from plus to divide to multiply.


Age_Word_Problems/293178: In 10 years, Samuel will be 1/2 as old as Roman. Five years ago, Samuel was only 1/3 as old as Roman. How old is Samuel now?
1 solutions

Answer 211624 by richwmiller(9135) About Me  on 2010-04-17 09:03:40 (Show Source):
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(s+10)=(r+10)/2
(s-5)=(r-5)/3
r=50 s=20


Travel_Word_Problems/293183: A train travels 120 miles in 3 1/2 hours. What is the trains rate of travels.
1 solutions

Answer 211622 by richwmiller(9135) About Me  on 2010-04-17 08:59:49 (Show Source):
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120/3.5=240/7=34 2/7=34.26 mph


Rectangles/293188: Parameter = 46, L= 3*W - 5
1 solutions

Answer 211620 by richwmiller(9135) About Me  on 2010-04-17 08:56:07 (Show Source):
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So do you have a question about parameters or perimeters? They are not the same!


Graphs/293190: passes through points (-2,-3) and (3,3)

1 solutions

Answer 211618 by richwmiller(9135) About Me  on 2010-04-17 08:54:04 (Show Source):
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Is this a guessing game?
Should we guess what passes through those points?
a circle? a line ? a parabola? a square?


Exponents-negative-and-fractional/293186: how do you solve (r-6)4(exponent)
1 solutions

Answer 211617 by richwmiller(9135) About Me  on 2010-04-17 08:52:16 (Show Source):
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(r-6)^4
The exponent is not negative nor a fraction.
There is no equal sign so there is nothing to solve.
We could expand the term if we wanted to but it would not be simplified
(r-6)^4=
r^4-24r^3+216r^2-864r+1296


Travel_Word_Problems/293141: Train A and B are traveling in the same direction on parallel tracks. Train A is traveling 60 miles per hour and Train B at 80 mile per hour. Train A passes a station at 8:20am, if train B passes the same station at 8:35am, at what time will train B catch up to train A?
When will train B catch up with train A?______
1 solutions

Answer 211616 by richwmiller(9135) About Me  on 2010-04-17 08:46:02 (Show Source):
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a 60 mph 8:20
b 80 mph 8:35
a has a head start of 15 minutes which is 1/4 hr.
in 1/4 hr it goes 15 miles
train b is catching up at 20 miles and hr. so it will catch up in 45 minutes
8:35 +0:45=8:80=9:20 am
We can also write it:
60*(x+1/4)=80x
60x+15=80x
15=20x
15/20=3/4=x
3/4 hr=45 minutes same as above
Train B catches train A at 9:20 am. ANSWER


Geometry_Word_Problems/293182: A ship sails 14 km due east, 5 km due north, 10 km due west and 8 km due south.
how far will the ship be from its original starting point ?
1 solutions

Answer 211615 by richwmiller(9135) About Me  on 2010-04-17 08:37:13 (Show Source):
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count west as neg and north as neg
add north and south
5 north+8 south leaves 3
add east and west
10 west+14 east leaves 4
This is a classic 3,4, 5 Pythagorean triplet right triangle
You can also apply Pythagorean theorem
3^2+4^2=d^2
9+16=d^2
25=d^2
5=d


Permutations/293160: Four children Alice, Brad, Cathy and Dan are arranged in a line. If Brad and Cathy cannot be next to each other, in how many ways can the kids be arranged?
A) 6 (B) 12 (C) 14 (D) 16 (E) 24
1 solutions

Answer 211613 by richwmiller(9135) About Me  on 2010-04-17 08:28:06 (Show Source):
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It would be 24 if there were no restrictions
For each in first position there are 6 ways 4*3*2*1
(abcd) bacd cabd (dabc)
abdc badc cadb (dacb)
(acbd) (bcad) (cbda) dbac
acdb (bcda) (cbad) (dbca)
(adbc) bdac cdab dcab
(adcb) bdca cdba (dcba)
With the restriction we have 2+4+4+2=12
Brad and Cathy can't be next to each other.
All combos of bc and cb are eliminated
Either in 1st and 2nd position
bcad bcda
cbad cbda
either in 2nd and 3rd
abcd dbca
acbd dcba
either in 3rd and 4th
adbc dabc
adcb dacb
That removes 12 leaving 12


Money_Word_Problems/293144: If "k" kilos of potatoes cost "P" pesos, find the cost in pesos of "s" grams of potatoes?
1 solutions

Answer 211612 by richwmiller(9135) About Me  on 2010-04-17 08:02:21 (Show Source):
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(s*p)/(k*1000)
an example
5 kilos for 10 pesos.
10/5=2 pesos per kilo
p/k price per kilo
we want 500 grams
500/1000*2=1
s/1000*p/k=(s*p)/(k*1000)
500*10/5*1000=1


Parallelograms/293150: Which of the following conditions does not ensure that a quadrilateral is a parallelogram?
a. The diagonals bisect each other
b. Both pairs of opposite sides are parallel
c. A pair of opposite angles are congruent
d. All of the above

1 solutions

Answer 211611 by richwmiller(9135) About Me  on 2010-04-17 07:55:05 (Show Source):


Average/293166: Player 1 tied for most goals scored. Player 2 scored 7 less than player 1. Both players scored 75 goals. How many did each player score?
1 solutions

Answer 211610 by richwmiller(9135) About Me  on 2010-04-17 07:42:03 (Show Source):
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If both scored 75 goals then they each scored 75 goals. Is this a trick question?
Or do you mean together they scored a total of 75 goals?
a=b+7
a+b=75
a-b=7
add #2 and #3
2a=82
a=41
b=34


Geometry_Word_Problems/293162: The length of a diagonal of a square is 4√2 centimeters. What is the area of the square?
(1) 32 square centimeters (2) 16 square centimeters (3) 8 centimeters (4) 64 square centimeters

1 solutions

Answer 211609 by richwmiller(9135) About Me  on 2010-04-17 07:37:38 (Show Source):
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2s^2=(4sqrt(2))^2
2s^2=32
s^2=16
area of the square is
(2) 16 square centimeters


Numbers_Word_Problems/293176: The numerator of a certain fraction is 3 less than the denominator. If the numerator is tripled and the denominator is increased by 7, the resulting fraction is equal to 3/2. What was the original fraction?
1 solutions

Answer 211607 by richwmiller(9135) About Me  on 2010-04-17 07:28:04 (Show Source):
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3*(x-3)/(x+7)=3/2
x=13
30/20
o=(x-3)/x
o=10/13
original fraction =10/13


Permutations/293172: from 4 apples, 2 bananas and 3 coconuts, how amny selextions of fruits can be made taking at least one of each kind?
1 solutions

Answer 211606 by richwmiller(9135) About Me  on 2010-04-17 07:19:25 (Show Source):
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I think you might be asking "How many fruit must be selected to be sure you have selected at least one of each kind?"
There are 4 apples, 2 bananas and 3 coconuts with 9 fruit total.
You must select 8 to be sure you have one of each kind. If you only select 7 you might have 4 apples and 3 coconuts.


Miscellaneous_Word_Problems/293175: On a 100 question test, 9 points are given for each correct answer and 5 points deducted for each incorrect answer. Questions which are not answered are not included in the total score.What is the largest number of questions which can be answered to get a total score of 0?
1 solutions

Answer 211605 by richwmiller(9135) About Me  on 2010-04-17 07:13:14 (Show Source):
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a=answered
n=not answered
r=right
w=wrong
a+n=100
r+w+n=100
9r-5w=0
9r=5w
r=5/9*w
If numbers must be integers then
n=2 w=63 r=35
98 answered wrong 63 and right 35 not answered 2
If fractional numbers are allowed then
total answered is 100
and w=64.2857
and r=35.7143
and n=0


Polynomials-and-rational-expressions/293117: Simplify by removing factors of 1.
8w-56/8w
Thank You!
1 solutions

Answer 211591 by richwmiller(9135) About Me  on 2010-04-16 22:24:39 (Show Source):
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factor out 8
8*(w-7)/8w=
(w-7)/w


Travel_Word_Problems/293132: Jesse is traveling at a speed of 105mi/h. What is his speed in feet per second?
Step by step Please
1 solutions

Answer 211590 by richwmiller(9135) About Me  on 2010-04-16 22:22:07 (Show Source):
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5280 feet in mile
60 minutes in an hour
60 seconds in a minutes
3600 seconds in an hour
if he were going 1 mile an hour he would go 1 mile in 3600 second.
since one mile is 5280 ft he goes 5280 feet in 3600 seconds
but he goes 105 miles in an hour
so he goes 105*5280 feet in 3600 seconds
so he goes 105*5280/3600 feet in one second
154 ft per second



Linear-systems/293112: How do you solve these problems
2. How do you solve 4x +7y=14
x=41-8y
1 solutions

Answer 211578 by richwmiller(9135) About Me  on 2010-04-16 20:29:29 (Show Source):
You can put this solution on YOUR website!
You are allowed one problem at a time.
substitute 41-8y for x in the first equation
4*(41-8y)+7y=14
y=6
x=41-8*(6)
x=41-48
x=-7
BTW What makes you think this is a travel word problem?
The category may not seem important to you but it is to the website.