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Numbers_Word_Problems/373247: Using the units 0,1,2,3,4,5,6,7,8,9 place the number in the correct position to make the following true equations. Each number can be used only once. (and for GH G= a unit number and and H= a unit number so for example 15 would be G=1 H=5)



my deductions are as follows
I Get that has only 3 possibilities as and 
I Get that B cant = or , A cant = or 
I Get that E and F cant be or and cant be or 
I Get that I cant be 
any and all help is greatly appreciated
Ive been working on this puzzle for 32hrs and seeking help from all you other bright minds. 1 solutions
Answer 265764 by solver91311(17077) on 2010-11-18 19:05:31 (Show Source):
You can put this solution on YOUR website!
I had to hammer-hand this one -- basically eliminating everything that was impossible and doing trial and error on what was left.
First there is one possibility and one exclusion that you missed. C = 4, D = 2 is possible. G can be no larger than 7 because the largest E * F can be is 72. (Although in the final analysis neither of these facts had any bearing on the results)
I started by saying "Let A = 0, then B is 2. Then C can't be 2 or 4 (if 4, D = 2), so if C is 6, D is 3. Then I examined all of the possibilities of E*F given the constraints of neither E nor F nor the resulting GH containing 0, 2, 3, or 6 and E or F not equal to 1. For the very few possibilities I got, I listed A through F against a list of the 10 digits to see if the two remaining unused digits were adjacent (so that I and J could differ by 1).
Then I tried A=0, B=2, C=8, D=4. Then A=1, B=3, C=4, D=2 (C=2, D=1 repeats 1), and so on.
In point of fact, unless you missed including some criteria that wasn't considered, there are 4 answers.
A = 7
B = 9
C = 6
D = 3
E = 5 or 8
F = 8 or 5
G = 4
H = 0
I = 2
J = 1
A = 7
B = 9
C = 8
D = 4
E = 5 or 6
F = 6 or 5
G = 3
H = 0
I = 2
J = 1
There is probably a better way to go about this, and I'm going to chew on it for a couple of days. Write back early next week and I'll let you know if I discovered anything new. Thanks for the interesting challenge.
John

My calculator said it, I believe it, that settles it
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Systems-of-equations/372776: you have 6.80 in a piggy bank...in the bank their are 3 times as many quarters as dimes...how many quarters and dimes are in the bank?...i think it's 24q and 8d...but i need help in setting up the equation..tks 1 solutions
Answer 265503 by solver91311(17077) on 2010-11-17 17:46:10 (Show Source):
You can put this solution on YOUR website!
You didn't bother to state that the bank contained ONLY dimes and quarters, however since without such presumption you can't solve the problem, we proceed on that basis.
Let represent the number of dimes. Then must represent the number of quarters. The value of the dimes, in cents, is , the value of the quarters, in cents, is , and the entire value of the bank contents, in cents, is 680. Hence:
Solve for to get the number dimes. Multiply by 3 to get the number of quarters.
John

My calculator said it, I believe it, that settles it
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Rational-functions/372754: m(x)=6x-9 and k(x)=2-3x/6x
Find and simplify: (m-k)(x)
I think it starts off this way:
(m-k)(x)=m(x)-k(x)
= (6x-9)-(2-3x)/(6x)
This is as far as I can get...can someone please walk me thru this step by step? I posted this earlier but I set the equation up incorrectly. Thank you. 1 solutions
Answer 265499 by solver91311(17077) on 2010-11-17 17:25:16 (Show Source):
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Quadratic-relations-and-conic-sections/372311: Hi, I have to identify the conic of the equation below and find the center, vertices, and asymptotes:
I can't find any examples like this so I'm lost here. Any help you can provide is greatly appreciated :) 1 solutions
Answer 265218 by solver91311(17077) on 2010-11-16 20:29:59 (Show Source):
You can put this solution on YOUR website!
If you have a plus sign between the LHS terms, and...
If , you have a circle center at , radius , but if you have an ellipse, center at , semi-major axis and semi-minor axis (unless and it is the other way around).
If you have a minus sign, then you have a hyperbola, centered at
If only one of the variables is squared, then you have a parabola.
Only hyperbolas have asymptotes.
For your example, , , and . So you have an ellipse, centered at the origin, semi-major axis of 3, and semi-minor axis of 2. The vertices are at and , the end points of the semi-minor axis are at and . Calculate . Then the foci are at and . Ellipses do not have asymptotes.
John

My calculator said it, I believe it, that settles it
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Graphs/372268: so, i have question...we are learning about different types of graphs, mean, median, mode, range, interquartile range, upper quartile range, lower quartile range, and out liers. on of the questions is, DATA THAT IS MORE THAN 1, 5 TIMES THE INTERQUARTILE RANGE FROM THE QUARTILE. if you could help me with this vocabulary word it is one of the last ones and i cant find it. I already did 11 out of 14 and i would be so great full if you could help me. thank you so much, Ashley 1 solutions
Answer 265186 by solver91311(17077) on 2010-11-16 19:44:30 (Show Source):
You can put this solution on YOUR website!
You didn't look very hard. I dropped your definition into Google and had the answer in about 3/4 of a second.
Outliers are extreme values that are more than 1.5 times the interquartile range beyond the upper and lower quartiles
John

My calculator said it, I believe it, that settles it
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Functions/372260: Suppose that the functions g and h are defined for all real numbers x as follows.
g(x)=x-4
h(x)=4x+2
Write the expression for (g-h)(x) and (g*h)(x) and evaluate (g+h)(-2)
(g-h)(x)=
(g*h)(x)=
(g+h)(x)=
1 solutions
Answer 265180 by solver91311(17077) on 2010-11-16 19:27:48 (Show Source):
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Average/372249: The coordinates are (15,80) for the helicopter and (55,38) for the boat. A Coast Guard Helicopter receives a distress signal from a boat. The units on the map represent miles. To the nearest minute, how long will it take the helicopter to reach the boat if the helicopter travels at an average speed of 75 mph? 1 solutions
Answer 265174 by solver91311(17077) on 2010-11-16 19:18:21 (Show Source):
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Average/372250: On a map of a city park, the ordered pairs (3,5) and (8,17) mark the starting and ending points of a straight jogging trail. Each unit on the map represents 0.1 mile. What is the length of the trail in miles? How many back-and-forth trips would Marisol need to make one the trail in order to run at least 7 miles? 1 solutions
Answer 265173 by solver91311(17077) on 2010-11-16 19:15:10 (Show Source):
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