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Numeric_Fractions/335311: a new tire has a depth of 1/4 inches, instead of the more typical 7/32 inches. How much deeper is the new tire?
1 solutions

Answer 240338 by solver91311(16877) About Me  on 2010-08-26 15:18:31 (Show Source):
You can put this solution on YOUR website!
Why did you ask this question twice?


Numeric_Fractions/335312: a new tire has a depth of 1/4 inches, instead of the more typical 7/32 inches. How much deeper is the new tire?
1 solutions

Answer 240337 by solver91311(16877) About Me  on 2010-08-26 15:18:07 (Show Source):
You can put this solution on YOUR website!
Why did you ask this question twice?


Miscellaneous_Word_Problems/335303: My number has double the number of ones as tens. The sum of the digits is 9.
My number is.....?
1 solutions

Answer 240334 by solver91311(16877) About Me  on 2010-08-26 14:55:41 (Show Source):
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Let represent the tens digit. Then represents the ones digit.



Solve for

John

My calculator said it, I believe it, that settles it



expressions/335302: 4a+7b+3a-2b+2a; a= -5 and b=3
no cluee. helpp pleaseee
1 solutions

Answer 240333 by solver91311(16877) About Me  on 2010-08-26 14:53:53 (Show Source):
You can put this solution on YOUR website!


What do the extra repeated letters on the end of your words mean in the phrases "no cluee" and "helpp pleaseee"?



Just plug in the numbers and do the arithmetic.



You get to do your own arithmetic. Let me know what you discover.

John

My calculator said it, I believe it, that settles it



Equations/335275: 1. Armando works part-time at a pet store. This week he earned $18 less than 4 times the amount he earned last week. His total earnings for the two weeks were $262. How much did he earn this week?

2. One number is tow more than three times another . The sum of the numbers is 26. What is the less number?

3. The sum of three consecutive off numbers is 315. What are the numbers?

4. Twice a number divided by 4 is 16. What is the number?

5. Nora is 4 years older than Diana. Two years from now Nora will be twice as old as Diane. How old is Diane now?
6. The sum of three consecutive even numbers is 30. What is the greates of the three even numbers?

7. The sum of two consecutive numbers is 49. what is the less number?
8. When the sum of 8 and a certain number is increased by 12, the result is the same as the product of 3 and the number. What is the number?

9. One number is 5 less that another. The sum of the tow numbers is 181. Find the two numbers.

10. the sum of 7 and twice a certain number is 10 more than the number. What is the number?
11. the sum of a numer and twic that number is 15. What is the number?
1 solutions

Answer 240331 by solver91311(16877) About Me  on 2010-08-26 14:47:10 (Show Source):
You can put this solution on YOUR website!


Is there some part of "One question per post" that you do not understand?

Is it the "One question per post" part or the "The rules apply to everyone, including you" part?

Read the Instructions

John

My calculator said it, I believe it, that settles it



Exponents/335260: (Revision)solve for x, y and z making each statement true:
y > x
z < y
x < 0
x / z = -z
x / y = z
z / 2 and z / 3 are integers
1 solutions

Answer 240329 by solver91311(16877) About Me  on 2010-08-26 14:36:27 (Show Source):
You can put this solution on YOUR website!


From the fact that x is negative and the quotient of x and y is z, you can deduce that not all three numbers are negative, hence y has to be positive because it is greater than each of the other two, and z must be negative because a negative (x) divided by a positive (y) must be negative.

From the fact that z/2 and z/3 are integers, and that z is negative, you can deduce that z must be -6 or an integer multiple of -6.

So let z = -6n where n is an natural number. Then from x/z = -z, you can deduce that x = -36n^2. And then from x/y = z you can determine that y = 6n.

Solution set:

Check:

.

.

.

.

.

.



All statements true, answer checks.

John

My calculator said it, I believe it, that settles it



Graphs/335262: How to solve this type of problem
x+2y=10
How do I go about trying to solve it
1 solutions

Answer 240294 by solver91311(16877) About Me  on 2010-08-26 13:09:47 (Show Source):
You can put this solution on YOUR website!


What do you mean by "solve" it?

If you mean find the particular numbers for x and y so that the equation is true, you can't do it. There are an infinite number of such pairs of numbers.

You can solve it for one of the variables in terms of the other -- for example, add -2y to both sides and the equation will be solved for x in terms of y.

You can graph it. Select a value for x, calculate y, plot the resulting point and repeat for a different value of x. Then draw a line through the two points.

If you have another equation such that you have a system of two equations in two variables you can, in some cases, find a unique solution.

You need to be more specific about what you mean.

John

My calculator said it, I believe it, that settles it



Numbers_Word_Problems/335256: What is the units digit of 10,452^134 ?
1 solutions

Answer 240292 by solver91311(16877) About Me  on 2010-08-26 13:03:53 (Show Source):
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The units digit repeats in a pattern of 4 numbers -- the same pattern as raising 2 to a power (because 2 is the last digit of the given number).









Take the exponent from your problem, 134. Do integer division by 4 (the kind you first learned in 2nd or 3rd grade where you get a quotient and a remainder). If the remainder is 1, the units digit is 2. If the remainder is 2, the units digit is 4, 3 means 8, and 0 means 6.


John

My calculator said it, I believe it, that settles it



Linear-systems/335251: Please assist me in solving this system by the addition method.
Thank you.

x - 2y = -1
-x + 5y = 4
1 solutions

Answer 240288 by solver91311(16877) About Me  on 2010-08-26 12:48:48 (Show Source):
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Ordinarily to do the addition method you would need to find a factor or factors to multiply across your equations so that the coefficients on one of the variables become additive inverses. However, you already have that situation in the given pair of equations, so simply add the two equations together term by term. will be eliminated and you will have an equation in that you can solve by ordinary means.

John

My calculator said it, I believe it, that settles it



Triangles/335245: Is the following set of numbers a perfect triple? Why or why not? 8, 10, 12
1 solutions

Answer 240287 by solver91311(16877) About Me  on 2010-08-26 12:44:50 (Show Source):
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If you mean Pythagorean Triple, then no. 64 + 100 = 164 not 144. If you mean something else, I don't know.

John

My calculator said it, I believe it, that settles it



Linear-equations/335240: What is one possible value for the slope of a line passing through point
(-1, 1) and passing between points (1, 3) and (2, 3) but not containing either of them?
1 solutions

Answer 240285 by solver91311(16877) About Me  on 2010-08-26 12:27:20 (Show Source):
You can put this solution on YOUR website!


Use the slope formula to calculate the slope of the line that passes through (-1, 1) and (1, 3). Then repeat the process for (-1, 1) and (2, 3).

Use:



where and are the coordinates of the given points.

Once you have your two slope values, select any value between those two values, but not including either.

John

My calculator said it, I believe it, that settles it



Equations/335236: find an equation of the line containing the given pair of points (1/6,1/3) and 5/6,5).
1 solutions

Answer 240284 by solver91311(16877) About Me  on 2010-08-26 12:24:06 (Show Source):
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Use the two-point form of an equation of a line:



where and are the coordinates of the given points.


John

My calculator said it, I believe it, that settles it



Linear-equations/335229: what is an equation of the line containing the given pair of points: (2,5)and(6,7)?
1 solutions

Answer 240283 by solver91311(16877) About Me  on 2010-08-26 12:23:47 (Show Source):
You can put this solution on YOUR website!


Use the two-point form of an equation of a line:



where and are the coordinates of the given points.


John

My calculator said it, I believe it, that settles it



Coordinate-system/335235: find an equation of the line containing the given pair of points (-3,-8) and (-7,-5)
1 solutions

Answer 240282 by solver91311(16877) About Me  on 2010-08-26 12:23:07 (Show Source):
You can put this solution on YOUR website!


Use the two-point form of an equation of a line:



where and are the coordinates of the given points.


John

My calculator said it, I believe it, that settles it



Linear-systems/335237: Please assist me in solving this system by the substitution method as well as determining whether the equations are independent, dependent, or inconsistent.
Thank you.

x + 3y = 2
-x +y = 1
1 solutions

Answer 240281 by solver91311(16877) About Me  on 2010-08-26 12:19:14 (Show Source):
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Solve either of the equations for either of the variables in terms of the other. I choose to solve equation 1 for :





Use the RHS expression that is equal to as a substitution into the 2nd equation:



Solve this equation for . If this substitution produces a value for you can substitute back into either of the original equations to solve for . If this substitution produces a trivial identity, such as 0 = 0, then you have infinite solutions. If this substitution produces an absurdity, such as 3 = 0, then you have no solutions.

Consistent systems have at least one solution.

Inconsistent systems have no solutions.

Independent systems have exactly one solution.

Dependent systems have infinite solutions.

A system that represents a pair of lines that intersect in one point is consistent and independent. A system that represents a pair of lines that graph to the same line is consistent and dependent. A system that represents a pair of parallel lines is inconsistent.

John

My calculator said it, I believe it, that settles it



Distributive-associative-commutative-properties/335120: What property is used most often and why?
1 solutions

Answer 240198 by solver91311(16877) About Me  on 2010-08-25 23:35:58 (Show Source):
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Where did you ever get the idea that any property is used more than the others? I presume you are referring to the Associative Property of Addition, the Commutative Property of Addition, the Associative Property of Multiplication, the Commutative Property of Multiplication, and the Distributive Property of Multiplication over Addition. All of these properties are fundamental to the structure of Elementary Algebra. Sorry, but your question makes no sense at all.



John

My calculator said it, I believe it, that settles it


Graphs/335156: Please help me solve this question
Equations 4a + 3b = 27 and 5a - 2b = 28
I solved a to = 6 and b = 1
Graph both equations on the same set of axes. Include the vertical and horizontal intercepts for each straight line.
I hope someone can help me. Thanks

1 solutions

Answer 240197 by solver91311(16877) About Me  on 2010-08-25 23:23:01 (Show Source):
You can put this solution on YOUR website!

You have correctly solved for the ordered pair that is the solution set to your system of equations. Now for the graphing:

Start with either one of your equations.

Step 1. Pick a value for a. It can be anything you like, but 0, 1, or some other small integer usually works well and makes the arithmetic easier.

Step 2. Substitute that value in place of a in your equation. Do the arithmetic and determine the value of b that results.

Step 3. Take the value of a that you selected for step 1 and the value of b that you calculated in step 2 and form an ordered pair (a,b).

Step 4. Plot the ordered pair from Step 3 on your graph. Since we chose to make the ordered pair in alphabetical order, the a value is the distance right or left along the horizontal axis and the b value is the distance up or down along the vertical axis.

Step 5. Repeat steps 1 through 4 with a different value for a.

Step 6. Draw a line across your graph that passes through the two points that you plotted.

Step 7. Repeat steps 1 through 6 using the other equation.

The point where the lines intersect is the solution, because the coordinates of that point will satisfy (read: make true) both of your equations. You need to determine, by inspection of the graph, what the coordinates of that point are and report your answer as an ordered pair, (a,b), using those coordinates. To check your answer, you should substitute this set of coordinates into each of your original equations and verify that you have a true statement for each of the equations.

The point where a line crosses the horizontal axis is the a intercept, and the ordered pair is of the form (,0). The b intercept, (0,), is where the line crosses the vertical axis.

John



Rectangles/335155: The perimeter of a rectangle is 42cm. The length is 3cm greater than the width. Find the width.
1 solutions

Answer 240195 by solver91311(16877) About Me  on 2010-08-25 23:07:27 (Show Source):
You can put this solution on YOUR website!


Let represent the measure of the width. Then represents the measure of the length.

The formula for the perimeter is:



Substitute the expressions we defined for length and width and the value for the perimeter and then solve for .

John

My calculator said it, I believe it, that settles it



Functions/335138: find domain: g(t)= \sqrt[3]{t-63}
1 solutions

Answer 240193 by solver91311(16877) About Me  on 2010-08-25 23:02:18 (Show Source):
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Since it is an odd root, there is no restriction on the radicand. The domain is all real numbers.


John

My calculator said it, I believe it, that settles it



Quadratic_Equations/335131: Can you explain and do the steps to solve this equation: +x%5E2=6x%2B27+
1 solutions

Answer 240174 by solver91311(16877) About Me  on 2010-08-25 22:05:33 (Show Source):
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Put the equation in standard form







So





or



John

My calculator said it, I believe it, that settles it



Average/335130: HI, I cant seem to figure this average out. Its basic but my heads spinning. thanks
I added the numbers up as come together when i post
10 15 65 85
Trial Fish Caught Number tagged Number not tagged
1 15 6 9
2 15 7 8
3 15 5 10
4 15 7 8
5 15 10 5
6 15 6 9
7 15 8 7
8 15 4 11
9 15 7 8
10 15 5 10

4. Calculate the average number of tagged fish and the average number not tagged.
Average n.o of tagged fish= ______ Average n.o of not tagged fish= _____

5. Use ratios to estimate the total number of untagged fish in your lake.
Average # tagged fish in samples ______ = Average # tagged fish in lake____
Average # untagged fish in samples _____ Average # untagged fish in lake ____

THANK YOU SO MUCHH
1 solutions

Answer 240169 by solver91311(16877) About Me  on 2010-08-25 22:00:03 (Show Source):
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To calculate an average, add up all of your numbers, and then divide by the number of numbers. In this case, add all the numbers in the tagged column and then divide by 10. Then add all the numbers in the not tagged column and divide by 10.

Can't work the other part since you didn't share an estimate of the number of fish in the lake.

John

My calculator said it, I believe it, that settles it



Numbers_Word_Problems/335094: Use each of the digits 0,1,2,3,4,5. Find the smallest positive 2-digit answer. Note can only be 3-digits subtracted from 3-digits exp. 301-254= 47
1 solutions

Answer 240167 by solver91311(16877) About Me  on 2010-08-25 21:56:06 (Show Source):


Equations/335103: 6x+12-4=-10
1 solutions

Answer 240157 by solver91311(16877) About Me  on 2010-08-25 21:40:55 (Show Source):
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What about it? What do you want to do with it? What don't you understand about it? What have you tried to do with it so far?

The instructions for posting on this site require that you include this information. This is Algebra.com. It is NOT the Psychic Hot line.

Read the Instructions

John

My calculator said it, I believe it, that settles it



Exponents/335104: 3x sqaured plus 6x
1 solutions

Answer 240156 by solver91311(16877) About Me  on 2010-08-25 21:40:33 (Show Source):
You can put this solution on YOUR website!


What about it? What do you want to do with it? What don't you understand about it? What have you tried to do with it so far?

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John

My calculator said it, I believe it, that settles it



Exponents/335107: 20ab^2 - 15a^3 b
1 solutions

Answer 240154 by solver91311(16877) About Me  on 2010-08-25 21:40:16 (Show Source):
You can put this solution on YOUR website!


What about it? What do you want to do with it? What don't you understand about it? What have you tried to do with it so far?

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John

My calculator said it, I believe it, that settles it



Exponents/335112: 5m^2 + m - 10 m
1 solutions

Answer 240153 by solver91311(16877) About Me  on 2010-08-25 21:39:50 (Show Source):
You can put this solution on YOUR website!


What about it? What do you want to do with it? What don't you understand about it? What have you tried to do with it so far?

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John

My calculator said it, I believe it, that settles it



Exponents/335110: 4a^2 -2a
1 solutions

Answer 240152 by solver91311(16877) About Me  on 2010-08-25 21:39:37 (Show Source):
You can put this solution on YOUR website!


What about it? What do you want to do with it? What don't you understand about it? What have you tried to do with it so far?

The instructions for posting on this site require that you include this information. This is Algebra.com. It is NOT the Psychic Hot line.

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John

My calculator said it, I believe it, that settles it



Exponents/335105: 12x^2 y plus 18x^3 y^2
1 solutions

Answer 240151 by solver91311(16877) About Me  on 2010-08-25 21:39:17 (Show Source):
You can put this solution on YOUR website!


What about it? What do you want to do with it? What don't you understand about it? What have you tried to do with it so far?

The instructions for posting on this site require that you include this information. This is Algebra.com. It is NOT the Psychic Hot line.

Read the Instructions

John

My calculator said it, I believe it, that settles it



Expressions-with-variables/335099: if t is tyhe number of teaspoons then 1/3t can be used to find the number of tablespoons.find the tabelspoons of spice in each recipe.
3 teaspoons
2 teaspoons
4 teaspoons
7 teaspoons
1 solutions

Answer 240150 by solver91311(16877) About Me  on 2010-08-25 21:35:59 (Show Source):
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or .

The rest of them work the same way.


John

My calculator said it, I believe it, that settles it



real-numbers/335101: 7
1 solutions

Answer 240145 by solver91311(16877) About Me  on 2010-08-25 21:21:29 (Show Source):


Linear-equations/335100: absolute value equation : -8<2x-6<4
1 solutions

Answer 240144 by solver91311(16877) About Me  on 2010-08-25 21:21:11 (Show Source):
You can put this solution on YOUR website!


In the first place, what you have written is not an equation. Equations have equals signs in them. This is an inequality.

In the second place, you have no indication where the absolute value bars go. Shift-Backslash makes a very nice absolute value bar -- use it.

In the third place, what about it? What do you want to do with it? What don't you understand about it? What have you tried to do with it so far?

The instructions for posting on this site require that you include this information. This is Algebra.com. It is NOT the Psychic Hot line.

Read the Instructions

John

My calculator said it, I believe it, that settles it