Questions on Algebra: Number Line answered by real tutors!

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Question 240943: what are the 2 numbers that are equal distance from zero
Found 2 solutions by Alan3354, edjones:
Answer by Alan3354(6097) About Me  (Show Source):
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Any pair of numbers, + and minus.
8 and -8
123 and -123, etc

Answer by edjones(3298) About Me  (Show Source):

Question 240590: which numbers are between 0.5 and 3/4 on a number line
Answer by rapaljer(3622) About Me  (Show Source):
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Did you have a list of numbers to choose from? There are infinitely many such numbers, so you can't possibly list them all. The one that is halfway between these would be the average of 0.5=1/2 and 3/4, which is 5/8.

Dr. Robert J. Rapalje


Question 239331: WHERE IS 3.75 LOCATED ON A NUMBER LINE?
Answer by Theo(675) About Me  (Show Source):
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It would be 3.75 units to the right of the 0 point.

It would be three quarters of the way between the 3 and the 4.

Each integer would be divided into 4 parts.

from 3 to 4, you would have the measuyrements of:

3.00     3.25     3.50     3.75    4.00


If what is shown below is your number line, then 3.75 would be as shown.

 |- - - -|- - - -|- - - -|- - - -|- - - -|- - - -|- - - -|- - - -|- - -|-|- - - -|
-5      -4      -3      -2      -1       0       1       2       3     | 4       5
                                                                       |
                                                                    3.75     


Question 238181: I need help with the problem negtive one-third x, is less than two. I need to solve this inequailty.
thanks

Answer by checkley77(7072) About Me  (Show Source):
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X/3<2 CROSS MULTIPLY
X<2*3
X<6 ANS.
PROOF:
LET X=5.9
5.9/3<2
5.9<2*3
5.9<6


Question 237994: four times the sum of three consecutive integers is 180 What are the integers?



Answer by College Student(216) About Me  (Show Source):
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First, we know we need 3 consecutive integers, so you can say:
1. x
2. x+1
3. x+2
Now, their sum is multiplied by 4 in order to equal 180. So, here's your equation:

Now solve for x...




Now divide by 12 on both sides to find x.
I'll let you do it.
The result will give you the first digit (step 1.) above.
Then you can figure out the other two numbers.
=============================================================
Proof:
Plug those 3 numbers in this equation, see if you get 180=180.


Question 237931: Please help. Can someone please show me the steps so I can understand how to do this?
Solve for a
a^2+a-42=0
Factor
72-17s+s^2

Answer by Alan3354(6097) About Me  (Show Source):
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Solve for a
a^2+a-42=0
Factor it
(a + 7)*(a - 6) = 0
a = -7, a = 6
--------------
Factor
72-17s+s^2
= s^2 - 17s + 72 It's a good idea to put it in descending order.
----------------
The coefficents of the x terms are both 1.
So it will be:
(x ± a)*(x ± b)
The two numbers multiply to 72, a*b = 72
The 72 is positive, so they have the same sign.
The s term is negative, so a and b are negative.
--> (x - a)*(x - b)
ab = 72
a+b = -17
---------
Look at the factors of 72 and the sum:
1 and 72 = 73
2 and 36 = 38
3 and 24 = 27
4 and 18 = 22
6 and 12 = 18
8 and 9 = 17 That's it.
72-17s+s^2 = (s - 8)*(s - 9)


Question 236991: How do you graph -2/3 on a numberline?
Answer by thrasherlax74(11) About Me  (Show Source):
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turn it into a decimal if it is easier than graphing it as a fraction. it's -.66666666666666666666666666666666666666666666666 so between -1 and 0.


Question 236486: How could you do this on number line?
(-7)(-5)=35
i dont know how to show this on a number line

Answer by stanbon(26297) About Me  (Show Source):
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How could you do this on number line?
(-7)(-5)=35
---
Start at -5 (position: 5 to the left of zero)
Multiply by 7 (position: 35 to the left of zero)
Multiply by the -1 (position: 35 to the right of zero)
==============================================================
Cheers,
Stan H.


Question 236106: 1-2 + 3 -4 + ....-98 + 99 equals
a) -50 b) -49 c) 0 d) 49 e) 50

Answer by Alan3354(6097) About Me  (Show Source):
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1-2 + 3 -4 + ....-98 + 99 equals
a) -50 b) -49 c) 0 d) 49 e) 50
----------
There are 99 numbers
Pair them up:
1+99 = 100
-2-98 = -100
3+97 = 100
etc.
The pairs are alternately +100 and -100, until you get to -50. It has nothing to pair with, so the sum is
-50


Question 235786: how i can represent cubic root of 3 on number line
Answer by rfer(2688) About Me  (Show Source):
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1.44 is the cu rt of 3
mark the number line between 1 and 2 just a little toward the 1 from half way between the two numbers.


Question 234983: 1-2 + 3 -4 + ....-98 + 99 equals
a) -50 b) -49 c) 0 d) 49 e) 50

Answer by Alan3354(6097) About Me  (Show Source):
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1-2 + 3 -4 + ....-98 + 99 equals
a) -50 b) -49 c) 0 d) 49 e) 50
----------------
There are 99 numbers.
Put them in pairs,
1+99 = 100
-2-98 = -100
...
49+51 = 100 It's all even, at zero, to this point
Then the -50 has nothing to pair with
--> = -50


Question 234051: How do you rewrite to addition and solve using a number line?
Answer by rfer(2688) About Me  (Show Source):
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4+8=12 on the number line
4-8= start at +4 and movr 98 places to the left, or -4
when you add numbers with different signs, subtract and the answer gets the sign of the largest number.
Does that help?
Bob


Question 232726: Graph the number on the number line - 5/2 would this be on the -2 or on the 2 1/2 side
Answer by rfer(2688) About Me  (Show Source):
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half way between -2 and -3


Question 229973: graph the solution to each inequality on a number line 12m+13>-59
Answer by rfer(2688) About Me  (Show Source):
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12m+13>-59
12m>-72
m>-6


Question 229275: explain how to find the greatest interger on a number line
Answer by solver91311(5072) About Me  (Show Source):
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Don't know what an interger is. If you mean integer, then you can't find the greatest integer on a number line. A number line goes on forever, so there is no largest number on it. Of course, you can only represent part of a number line at any given time, so I guess the greatest integer on any given segment of the number line would be the integer with the largest value that you could see on that segment.

John



Question 228924: how do you graph -1 5/6 and -1 7/9 on a number line?
Answer by edjones(3298) About Me  (Show Source):
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-1 5/6=-11/6=-33/18
-1 7/9=-16/9=-32/18
.
Ed


Question 228851: 1562 ____ ____ ____ ____ ____ 1874
I'm in 4th grade, can someone tell me the way to find these answers.

Answer by edjones(3298) About Me  (Show Source):
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1874-1562=312
312/6=52
1562+52=1614+52=1666+52=1718+52=1770+52=1822+52=1874
.
Ed


Question 227380: Graph on a number line where x is a real number.




Found 2 solutions by drj, rapaljer:
Answer by drj(1380) About Me  (Show Source):
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Graph on a number line where x is a real number.



Step 1. The initial graph is shown below



Step 2. For where the graph is going from the red dot to the right pass the green dot at x=6 all the way to infinity. The graph does not include x=-2.

Step 3. For where the graph is going from the green dot towards the right at infinity which really overlaps with the graph in Step 2 starting at x=6. The graph includes x=6.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV




Answer by rapaljer(3622) About Me  (Show Source):
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This notation is not valid. The inequality signs must point in the same direction.

R^2

Dr. Robert J. Rapalje


Question 226314: whats 1
Answer by rapaljer(3622) About Me  (Show Source):
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means the same as . x represents ANY number that is GREATER than 1. For example 2, 3, 4, etc. Draw a numberline and locate the number 1 on this numberline. Shade everything to the RIGHT of 1. You do NOT want to include the number 1, so you can either use an open circle, or a parentheses opening to the right, whichever notation your teacher tells you to use.

R^2

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus


Question 227379: Graph on a number line where x is a real number.




Answer by rapaljer(3622) About Me  (Show Source):
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This notation is invalid. Did you mean ?

Perhaps AND ???

Perhaps OR ???

R^2

Dr. Robert J. Rapalje


Question 226438: I am having a hard time with this, if anyone could help? thank you
Two intervals are given [-3;4[ and [1;6[ Give the intersection of the two intervals.

Answer by user_dude2008(716) About Me  (Show Source):
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Intersection of [-3,4] and [1,6] is [1,4] (draw number line to see why)


Question 224512: what possible numbers are greater than 1
Answer by rapaljer(3622) About Me  (Show Source):
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All of the numbers that are NOT less than or equal to 1.

R^2


Question 222082: what fractions are between 1/4 and 5/6 on a number line
Answer by Alan3354(6097) About Me  (Show Source):
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There's an infinite number of them.
(5/6) For example:
1/2
1/3
5/12
3/8
7/16
6999/16000


Question 221998: 21,_,_,63,_,_
Answer by checkley77(7072) About Me  (Show Source):
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21,35,49,63,77,91 ans.


Question 222067: what is 6/8 converted into a number?
Answer by rfer(2688) About Me  (Show Source):

Question 221679: Where is -3/2 on a number line?
Answer by stanbon(26297) About Me  (Show Source):
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Where is -3/2 on a number line?
Half-way between -2/2 and -4/2
Same as half-way between -1 and -2.
====================================
Cheers,
Stan H.


Question 221513: how do i graph -15/-4 on a number line

Answer by likaaka(51) About Me  (Show Source):
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I would put -15/-4 into a decimal fraction because decimal fractions are easier to see on a number line.
-15/-4 = 3.75


Question 216863: what is the answer to dc - 4d?
Answer by Alan3354(6097) About Me  (Show Source):
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What is the question?


Question 220985: how do I graph x is equal to or less than 5 and x is equal to or greater than 3
Answer by drj(1380) About Me  (Show Source):
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how do I graph x is equal to or less than 5 and x is equal to or greater than 3

Step 1. Graph each inequality and and see where they overlap.

Step 2. Let's graph



The solution for this graph goes FROM the RED dot at x=5 TO and PASS the green dot at -10

Step 3. Let's graph



The solution for this graph goes FROM the RED dot at x=3 TO and PASS the green dot at +10.

Step 4. ANSWER: The solution is between the RED dot at x=3 and the GREEN dot at x=5 since the two inequalities in Steps 2 and 3 overlap this region between 3 and 5.



I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J


Question 220367: Is there a stragety to finding a missing numbers on a number line when the missing numbers are the same distance apart??
Example:
2493,3496,4699,5802,605,8008

Answer by checkley77(7072) About Me  (Show Source):
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(8008-2493)/5=1103 is the missing value to be added.
2493+1103=3596+1103=4699+1103=5802+1103=6905+1103=8008


Question 219588: where is 5/3 on a number line?
Answer by RAY100(1637) About Me  (Show Source):
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5/3 = 1.667,,,,,on number line it is between +1 and +2,,,,or more specifically,,it is 2/3 of way between +1 and +2 on number line
.


Question 219571: Two-thirds of a number is negative six. Find the number.
Answer by RAY100(1637) About Me  (Show Source):
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Let x = number
.
(2/3)*x = -6,,,,,,multiply by 3/2
.
x=-6*3/2 =-9
.
.
check ,,,,(2/3) * -9 = -6,,,,,,ok
.


Question 219244: What is the answer to 9 - 14x +7x - 8
Answer by user_dude2008(716) About Me  (Show Source):
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9 - 14x +7x - 8 = (-14x+7x) + (9-8) = -7x + 1

Answer: 9 - 14x +7x - 8 = -7x + 1


Question 219003: i need help
i dont know how to graph 3.5, - 2.4, - 1.8 and 0.9 on a number line
how would the numbers go on the number line

Answer by jim_thompson5910(13794) About Me  (Show Source):
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Plot of the number 3.5:
Solved by pluggable solver: Plot a number on a number line


---------------------------------------
Plot of the number -2.4:
Solved by pluggable solver: Plot a number on a number line



---------------------------------------
Plot of the number -1.8:
Solved by pluggable solver: Plot a number on a number line




---------------------------------------

Plot of the number 0.9:
Solved by pluggable solver: Plot a number on a number line


Note: this is NOT on the value 1 (but really close to it)
---------------------------------------

If you need more help with plotting numbers on a number line, check out this solver


Question 219000: i need help
i dont know how to graph 3/4, - 1/3 and 5 on a number line
i know that 3/4 is equal to 0.75 and - 1/3 is equal to -0.33
but how would the numbers go on the number line

Answer by jim_thompson5910(13794) About Me  (Show Source):
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Step 1) Draw a straight horizontal line

Step 2) Draw tick marks at equal distances and label them with whole numbers (think of a ruler).

To plot , realize that Since 0.75 is less than 1 but greater than zero, this means that 0.75 goes in between 0 and 1. Also, note that 0.75 > 0.5 (which is one-half). So 0.75 is in between 1/2 and 1.


If you follow the same logic used above to plot -1/3 and 5, you should get:



Question 218374: find an equation to a line perpendicular to x-3 through (-2,5)

Answer by vleith(1977) About Me  (Show Source):
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To be perpendicular, the slope of the second line must be the negative reciprocal of the first line.
The slope of the first line is 1 and the line is
SO the second line is in the form
You are given a point on the line as (-2,5)



So the line is


Question 217745: Find the sum using a number line.
-4 + 6

Found 2 solutions by stanbon, checkley77:
Answer by stanbon(26297) About Me  (Show Source):
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Find the sum using a number line.
-4 + 6
--------------------
Draw a number line.
Mark a point as zero and mark a point as -4
-----
Put your pencil at zero.
The 1st intruction in your problem is -4 which means "move 4 to the left".
So, move your pencil four to the left of zero.
-------
Your next instruction is "6" which means "move 6 to the right".
So, move your pencil 6 to the right of -4.
---------
You should end up at +2.
--------------------------------
Number line addition requires that you start each problem
at zero and follow the right/left instruction in the order
they are listed.
--------------------------------
Try 2-4-3+5 and see where you end up.
You should end up at 0.
-----------------------------
Cheers,
Stan H.
are listed

Answer by checkley77(7072) About Me  (Show Source):
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-4+6=+2
-2 -1 0 +1 +2 +3 +4
----------------------
...................^.........


Question 83872: Complete The Statement-
2 dm=?cm
689mm=?m
124?=12.4m
0.23 cm=? m
1200 m=? km
1.002 ?=1002 cm
? km = 120,000 mm
0.6 m=600?
125,000 m=125?
Describe a real-life object with these measurements-
- 8500 mm
- 0.05 m
- 42,000 m
- 12,500 cm
- 0.0092 km
- 12,000,000 mm
THANK YOU!!

Answer by Studenttt(8) About Me  (Show Source):
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So for conversions an easy way to remember it is [K]ing [H]enry [D]ied [M]onday [D]rinking [C]hocolate [M]ilk each letter stands for a unit.
K=kilometers
D=dekameters
M=meters
D=decimeters
C=centimeters
M=millimeters
for each letter you add a decimal point or a zero

so since deci is one above centi you move the decimal point to the left one place
2dm=20cm
milli is 3 below meter move the decimal point to the left 3 places
689mm=0.689m
since you moved the decimal point over one to the right you'd go up one from deci which is meters
124decimeters=12.4m
move the decimal point over 2 places
0.23cm=0.0023meters
moving the decimal point to the right three places would give you
1200m =1.2km
so since you want to move the decimal point over 3 places which would be dekameters
1.002 dekameters=1002cm
moving the decimal point over 6 places gives you kilometers
0.12km=120000mm
move the decimal point over 3 places gives you milimeters
0.6m=600mm
move the decimal point over 3 places gives you kilometers
125000m=125km

those are all the conversions but i'm not quite sure what you mean by a real-life object? you could google them if you just need something like that


Question 216725: Why is -4.125 less than -5. I don't understand
Found 2 solutions by Studenttt, rfer:
Answer by Studenttt(8) About Me  (Show Source):
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It helps if you draw a line so you can actually see it, but basically 4.125 is closer to 0 on the number line.
if you owe someone 4.125 dollars thats less than if you owed them 5 dollars.

Answer by rfer(2688) About Me  (Show Source):
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-4.125 is not less than -5.
-4.125 is more positive than -5 so it is a larger guantity on the number line.


Question 216215: 21 _____ _____ 63 these numbers and spaces are on a number line what is the formula to figure the missing numbers?
Answer by checkley77(7072) About Me  (Show Source):
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(63-21)/(N-1)=42/(4-1)=42/3=14
21+14=35+14=49+14=63


Question 216185: what is a number between - 2.8 and - 2.9?
what is a number between - 2 and - 3?
what is a number between - 2 1/16 and - 2 3/8?
on a number line, is it possible to find a number between any two different given numbers? Explain

Answer by stanbon(26297) About Me  (Show Source):
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what is a number between - 2.8 and - 2.9?
Ans: -2.85
-------------------------------
what is a number between - 2 and - 3?
Ans: -2.5
-------------------------------
what is a number between - 2 1/16 and - 2 3/8 ?
Modify: -2 1/16 and -2 6/16
And: -2 3/16
-------------------------------
on a number line,
is it possible to find a number between any two different given numbers?
Yes: If the numbers are a and b then (a+b)/2 is half-way between a and b.
===========================================================================
Cheers,
Stan H.


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