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Average/584328: you have two test grades one of 84 and 82. what must you get on the third test to have an average of 85
1 solutions

Answer 372757 by richwmiller(9135) About Me  on 2012-03-08 15:04:30 (Show Source):
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(84+82+x)/3=85
x=89
another way
85-84=1
85-82=3
85+1+3=89


Rectangles/584332: Please help me solve this, thank you,
The area of rectangle is 121k^2 - 25p^2 square meters and length is 11k + 5p meters, what is an expression for the width?
1 solutions

Answer 372754 by richwmiller(9135) About Me  on 2012-03-08 14:57:04 (Show Source):
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(121k^2 - 25p^2)/(11k + 5p )=11k-5p


Equations/584351: Is pair of lines parallel, perpendicular, or neither?
f(x)=-4x+7
g(x)=7x+3
1 solutions

Answer 372751 by richwmiller(9135) About Me  on 2012-03-08 14:51:50 (Show Source):
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Not parallel nor perpendicular. They intersect at x=4/11 and y=61/11


Equations/584348: Write an equation in standard form of the line satisfying the following condition. The line goes through (3,-2), and is vertical.
1 solutions

Answer 372748 by richwmiller(9135) About Me  on 2012-03-08 14:48:28 (Show Source):
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a vertical line is in the form x= a
where a is the value of x
so the point 3,-2 goes through x=3
x=3 is the equation
see my one and only lesson


Numbers_Word_Problems/584340: Find a three digit number whose third digit is one less than the second digit. The sum of its digits is 9.
If the digits are reversed the new number is 99 less than the original.
Find the number
1 solutions

Answer 372745 by richwmiller(9135) About Me  on 2012-03-08 14:43:34 (Show Source):
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100x+10y+z
z=y-1
x+y+z=9
100x+10y+z+99=100z+10y+x
x=2
y=4
z=3
243






Average/584341: how would you work a percentage of something e.g 50%of 12? i have a maths test tomorrow reply as soon as possible thank you
1 solutions

Answer 372744 by richwmiller(9135) About Me  on 2012-03-08 14:33:53 (Show Source):
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50% of 12=.50*12=6
or 1/2*12=6


Polynomials-and-rational-expressions/584336: Divide and check, (x^2 + 2x - 15)/(x + 5)
My answer was,
x^2 + 2x - 15/x + 5
x^2 + x^2 + 2x - 15 + 5
x + 2x - 15 + 5
2 - 15 + 5
I am supposed to do polynomial long division or factor it and I am stuck would appreciate any help
1 solutions

Answer 372743 by richwmiller(9135) About Me  on 2012-03-08 14:32:34 (Show Source):
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(x^2 + 2x - 15)=(x+5)* (x-3)
so
(x+5)* (x-3)/(x + 5)=x-3


Polynomials-and-rational-expressions/584091: I really need help with a few problems. I scanned the problems and uploaded the picture.
Here's the link: http://i31.photobucket.com/albums/c386/pokaslop3000/AlgebraHomework.jpg
I would really appreciate some help!
1 solutions

Answer 372699 by richwmiller(9135) About Me  on 2012-03-08 01:58:13 (Show Source):
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link doesn't work


Travel_Word_Problems/584117: If you're making a trip that takes 8 1/3 hr and you've been traveling for 5 3/4 hr, how much longer do you need to travel?
1 solutions

Answer 372697 by richwmiller(9135) About Me  on 2012-03-08 01:55:13 (Show Source):
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8 1/3-5 3/4
8 4/12-5 9/12=
7 16/12-5 9/12=
2 7/12


Age_Word_Problems/584146: A man is 37 years old and his daughter is 5 years old. In how many years time will the man be 3 times the age of his daughter
1 solutions

Answer 372696 by richwmiller(9135) About Me  on 2012-03-08 01:51:14 (Show Source):
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f=37
d=5
f+x=3*(d+x)
x=11 years
check
37+11=3*(5+11)
48=48
ok


Length-and-distance/584141: If Ali travels to his school at the speed of 5 mph, he is late by 20 min. If he travels at the speed of 6 mph, he is late by 4 min. What is the distance between Ali's home and his school ( in miles) ?

Thanks.
1 solutions

Answer 372695 by richwmiller(9135) About Me  on 2012-03-08 01:48:02 (Show Source):
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r*t=d
5*(t+20/60)=6*(t+4/60)
5*(t+1/3)=6*(t+1/15)
5t+5/3=6t+6/15
5t+25/15=6t+6/15
t=19/15
5*(19/15+20/60)=8 miles
and
6*(19/15+4/60)=8 miles



Travel_Word_Problems/584142: If i travel 106 miles at 7mph, what time will I arrive? And how do i solve this ?
1 solutions

Answer 372694 by richwmiller(9135) About Me  on 2012-03-08 01:38:42 (Show Source):
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already answered


Word_Problems_With_Coins/584116: when you went to pay for your lunch you pulled the change out of your pocket. You realized you have a total of $4.60 made up of nickels and quarter-20 coins altogether. How many of each coin did you have?
1 solutions

Answer 372693 by richwmiller(9135) About Me  on 2012-03-08 01:38:04 (Show Source):
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5n+25q=460
n+q=20
n=2
q=18


Miscellaneous_Word_Problems/584114: Chris's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Chris $5.95 per pound, and type B coffee costs $4.45 per pound. This month, Chris made 142 pounds of the blend, for a total cost of $751.90. How many pounds of type B coffee did he use?
1 solutions

Answer 372692 by richwmiller(9135) About Me  on 2012-03-08 01:35:50 (Show Source):
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5.95a+4.45b=751.90
a+b=142
a=80
b=62


Travel_Word_Problems/584140: If i travel 106 miles at 7 miles an hour, what time will I arrive, and how do I solve this?
1 solutions

Answer 372691 by richwmiller(9135) About Me  on 2012-03-08 01:34:03 (Show Source):
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Not enough info.
When did you start?
7x=106
x=106/7


Linear-equations/584119: Determine whether the lines are parallel, perpendicular, or neither.
3x-5y=6
y=3/5x-7
1 solutions

Answer 372690 by richwmiller(9135) About Me  on 2012-03-08 01:32:17 (Show Source):


Rate-of-work-word-problems/584129: David can paint a room in 5 hours. Patti can paint a room in 7 hours. How long will it take them to paint a room working together?
1 solutions

Answer 372689 by richwmiller(9135) About Me  on 2012-03-08 01:29:49 (Show Source):
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x/5+x/7=1
7x+5x=35
12x=35
x=35/12
a little less than 3 hours


Mixture_Word_Problems/584123: How much 8% saline solution should Mary mix with 80cc of an 18% saline solution to produce a 12% saline solution?
1 solutions

Answer 372688 by richwmiller(9135) About Me  on 2012-03-08 01:27:23 (Show Source):
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.08x+.18*80=(80+x)*.12
x=120 cc


Matrices-and-determiminant/584134: At a college basketball game, students’ tickets cost 12 pesos each, adults’ tickets cost 16 pesos each and children’s tickets cost 7 pesos each. Four times as many adults’ tickets as children’s tickets were sold; the total number of children’s tickets and adults’ tickets was half the number of students’ tickets. The total number of tickets sales was 33,043 pesos. How many of each type of ticket was sold?
1 solutions

Answer 372687 by richwmiller(9135) About Me  on 2012-03-08 01:23:38 (Show Source):
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12s+16a+7c=33043
a=4c
c+a=s/2
a=692
c=173
s=1730



Numbers_Word_Problems/583698: one number is 7 more then another. the difference between thier square is 203. what are the numbers?
1 solutions

Answer 372563 by richwmiller(9135) About Me  on 2012-03-07 14:40:51 (Show Source):
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x=y+7
x^2-y^2=203
x=18
y=11


Percentage-and-ratio-word-problems/583711: How many liters of a 10% alcohol solution must be mixed with 80 liters of a 80% solution to get a 50% solution?
1 solutions

Answer 372560 by richwmiller(9135) About Me  on 2012-03-07 14:34:48 (Show Source):
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.1*x+80*.8=(x+80)*.5
x=60 liters of 10% solution


Triangles/583713: In an isosceles triangle, two sides are equal. The third side is two less than twice the length of the sum of the two sides. the perimeter is 40 What are the lengths of the three sides ?
1 solutions

Answer 372559 by richwmiller(9135) About Me  on 2012-03-07 14:31:36 (Show Source):
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2x+y=40
y=2x-2


Linear-equations/583716: Give the slope of each line AND then determine whether the two lines are parallel, perpendicular, or neither.
5x+4y=12
20x+16y=0



:)Thank you
1 solutions

Answer 372554 by richwmiller(9135) About Me  on 2012-03-07 14:16:33 (Show Source):
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y = 3-(5x)/4
y = -(5x)/4
parallel


Travel_Word_Problems/583697: Aaron and Cavan are piloting two planes. Aaron’s plane has a speed that is 75 miles per hour faster than Cavan’s plane. They each fly the same distance, but Aaron flies for 3 hours while Cavan flies for 3 hours and 36 minutes. How far do they each fly? please explain.
1 solutions

Answer 372546 by richwmiller(9135) About Me  on 2012-03-07 13:36:26 (Show Source):
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r*t=d
r*t=R*T
(c+75)*3=(3 36/60)*c
(c+75)*3=(3.6)*c
3*75=.6c
75=.2c
5*75=c
c=375



Graphs/583676: How do I graph this equation:
6x-4y>-16 ?
1 solutions

Answer 372544 by richwmiller(9135) About Me  on 2012-03-07 13:31:08 (Show Source):
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Equations have equal signs. I don't see an equal sign. There is no equation.
You are dealing with math an exact science. Be more precise in your wording.
It is an inequality.



Graphs/583678: How do I graph this equation:

6x+8y<32
-x+6y< -24
1 solutions

Answer 372539 by richwmiller(9135) About Me  on 2012-03-07 13:08:50 (Show Source):
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This is not an equation but two inequalities. Equations have equal signs.
You have two inequalities.


Travel_Word_Problems/583679: If it takes you 45 seconds to run one block, how fast are you running in miles per hour?
1 solutions

Answer 372536 by richwmiller(9135) About Me  on 2012-03-07 13:03:13 (Show Source):
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How big is your block?
In NYC, a block is .1 miles


Linear-equations/583687: what are some ordered pairs for y=2/3x

1 solutions

Answer 372535 by richwmiller(9135) About Me  on 2012-03-07 13:00:56 (Show Source):
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plug in some numbers like 0 and 1 for x and solve for y.


Polynomials-and-rational-expressions/583689: Can you please help me solve this? %2816x%5E5+-+32x%5E4+-+81x+%2B+162%29+%2F+%28x+-+2%29 I am supposed to solve and state whether the binomial is a factor of the polynomial.
I used synthetic division to drop the coefficients and got:
2] 16 -32 0 0 -81 162
0 32 0 0 0 -162
_______________________
16 0 0 0 0 -81 0
(The zeroes in the top row are because there are no x-cubed and x-squared variables, therefore they're respresented by a zero, right?)
Multiple choice allowed me the answers of:
A - 1348; no
B - 0; yes
C - 700; yes
D - 0; no
I am pretty sure the answer is C because my remainder is zero, and x-2 is a factor of the original equation. If this is not right, can you please show me what I've done wrong?
(Also, I apologize if the synthetic division does not line up properly when submitted and if it makes it harder for you to read.)
1 solutions

Answer 372534 by richwmiller(9135) About Me  on 2012-03-07 13:00:03 (Show Source):
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If your remainder is zero then why isn't it B.
(16x^5-32x^4-81x+162)/(x-2) does equal 16x^4-81 which can be factored to
(-3+2x)*(3+2x)*(9+4x^2)


Rate-of-work-word-problems/583670: 1 PERSON TAKES 45 MINUTES TO COMPLETE THE TASK AND OTHER PERSON TAKE TAKE 30 MINUTES IF THEY BOTH WILL DO TOGETHER THEN AT WHAT TIME THEY COMPLETE IT?
1 solutions

Answer 372530 by richwmiller(9135) About Me  on 2012-03-07 12:14:14 (Show Source):
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Why are you shouting? All caps is shouting.
x/45+x/30=1


x=18


Travel_Word_Problems/583662: An airplane flying against the wind travels 300 miles in the same time that it can travel 330 miles with the wind. If the wind speed is 10 mph, what is the speed of the airplane in still air?
1 solutions

Answer 372529 by richwmiller(9135) About Me  on 2012-03-07 12:09:57 (Show Source):
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r*t=d
(r-10)*t=300
t=300/(r-10)
(r+10)*t=330
t=330/(r+10)
300/(r-10)=330/(r+10)
r=210