Questions on Algebra: Number Line answered by real tutors!

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Question 565741: 2x-3=5

Answer by jim_thompson5910(21667)

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2x-3=5

Start with the given equation.

2x=5%2B3

Add

to both sides.

2x=8

Combine like terms on the right side.

x=%288%29%2F%282%29

Divide both sides by

to isolate

Reduce.

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

Answer:

So the solution is x=4

Question 560957: How do you find the LCM of a set of numbers 16 AND 20
Answer by stanbon(48502)

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LCM of a set of numbers 16 AND 20
----
List the prime-factor form of each:
16 = 2^4
20 = 2^2*5
----
The LCM has each of the prime factors is them highest power.
---
LCM = 2^4*5 = 16*5 = 80
=========================
Cheers,
Stan H.
===================

Question 559171: where does -2/5, and -0.7 go on a number line from -1.0 to 1.0
Answer by stanbon(48502)

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where does -2/5, and -0.7 go on a number line from -1.0 to 1.0
----
-2/5 = -4/10
-0.7 = -7/10
---
The order of the numbers from left to right is:
-1.0...-0.7....-2/5....0....1
==============================================
Cheers,
Stan H.
==========

Question 556864: What's 1/2 as an equalvalent
Answer by Edwin McCravy(6927)

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,5 or 50%

Question 556351: How do I show 2/5 on a number line
Answer by jim_thompson5910(21667)

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2/5 = 0.4 so divide the interval from 0 to 1 into ten pieces and place the point on the fourth tick mark

Question 554842: how do you solve -2x-9<-x-4 onto a number line?
Answer by jim_thompson5910(21667)

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-2x-9%3C-x-4

Start with the given inequality.

-2x%3C-x-4%2B9

Add

to both sides.

-2x%2Bx%3C-4%2B9

Add

to both sides.

-x%3C-4%2B9

Combine like terms on the left side.

-x%3C5

Combine like terms on the right side.

x%3E%285%29%2F%28-1%29

Divide both sides by

to isolate

. note: Remember, the inequality sign flips when we divide both sides by a negative number.

x%3E-5

Reduce.

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

Answer:

So the solution is x%3E-5

So the answer in interval notation is

Also, the answer in set-builder notation is

Here's the graph of the solution set on the number line

drawing%28500%2C80%2C-15%2C+5%2C-10%2C+10%2C%0D%0Anumber_line%28+500%2C+-15%2C+5%29%2C%0D%0A%0D%0Aarrow%28-5%2C0%2C5%2C0%29%2C%0D%0Aarrow%28-5%2C0.30%2C5%2C0.30%29%2C%0D%0Aarrow%28-5%2C0.15%2C5%2C0.15%29%2C%0D%0Aarrow%28-5%2C-0.15%2C5%2C-0.15%29%2C%0D%0Aarrow%28-5%2C-0.30%2C5%2C-0.30%29%2C%0D%0A%0D%0Acircle%28-5%2C0%2C0.3%29%2C%0D%0Acircle%28-5%2C0%2C0.3%29%2C%0D%0Acircle%28-5%2C0%2C0.3%29%2C%0D%0Acircle%28-5%2C0%2C0.3-0.02%29%0D%0A%29

Note: there is an open circle at the endpoint.

If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim

Question 554592: where is the number 0 located in the number line?
Found 2 solutions by stanbon, kkasko:
Answer by stanbon(48502)   (Show Source):
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Ans: Whereever you put it.
Pick a point and label it 0.
Then count 1,2,3 etc to the right of zero
and -1,-2, -3 etc to the left of zero.
======================
Cheers,
Stan H.

Answer by kkasko(45)   (Show Source):
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the number 0 is located in the middle of the number line. This is because it separates the negative numbers from the positive numbers.
for instance,
-4,-3,-2,-1,0,1,2,3,4

Question 554523: Hello, I'm having problem graphing g(x)=-7(x+3)^(2)-3 on a number line. Can you help me? Thank you.
Answer by KMST(576)   (Show Source):
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You cannot graph an function on a number line. You need an x-axis and a y-axis.
Each x value is associated with a y=f(x) value to determine a point (x, y).
You can pick a few values for x, make the corresponding (x,y pairs), and plot them.
If you do not know what the graph will look like, picking random points may not give you a good graph. A graphing calculator or some graphing software program could do it for you.
The function you have is a quadratic function (meaning a polynomial with degree 2). The graph is a parabola.
In your case, the graph will look like an arch (like the one in St. Louis or half of the McDonald's logo).
For x=-3, That is a maximum of the function.
For any other value of x, ,
and .
The function is symmetrical to both sides of x=-3. The values of and the values of g(x) are the same for -4 as for -2. They are the same for -5 as for -1. They are the same for -6 and for 0. They are the same for pairs of values of x that are the same distance to either side of x=-3.
The graph looks like this:

Question 553464: what is -25 + 47 ? does it equal negative 22 or just 22 ?
Answer by nerdybill(5403)   (Show Source):
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It would be just 22

Question 552729: how do you graph 2/3 on a number line

Answer by jim_thompson5910(21667)   (Show Source):
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2/3 = 0.667, so plot 2/3 between 0.6 and 0.7

Optionally, you can plot 2/3 between 0.5 and 1

Question 552459: At milepost 65.5 on US Highway 2, you are at the summit of Stevens Pass, 4061 feet above sea level. Driving east, you have dropped down to 2200 feet above sea level at milepost 75.0. What was your average rate of altitude change between those two points, in feet per mile? how do i find the slope

Answer by mananth(10539)   (Show Source):
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you have traveled 9.5 miles down the slope. (75-65.5)
you have dropped level 4061-2200=1861
Rtae of change of altitude = 1861/9.5
=195.9 feet / mile

Question 552408: how to you get what number is between 3/4 and 2/3?
Answer by oberobic(2302)   (Show Source):
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If you wanted to find the number that is half the distance between 3/4 and 2/3, you could multiply the difference by 1/2 and add to the smaller fraction.
.
3/4 = 9/12
2/3 = 8/12
----------------subtract
3/4 -2/3 = 1/12
.
1/2 * 1/12 = 1/24
.
2/3 + 1/24 = 16/24 + 1/24 = 17/24
.
Done.

Question 552196: Where would 3/10 and -4/9 be located on a number line
Answer by jim_thompson5910(21667)   (Show Source):
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Solved by pluggable solver: Plot two numbers on number line

Note: 3/4 = 0.75 (red point above) and -4/9 = -0.444444... (green point above)

Question 551908: What comes before and after 3/4 on a number line???
Answer by jim_thompson5910(21667)   (Show Source):
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3/4 = 0.75

So 1/2 = 0.5 comes before and the number 1 comes after (assuming you're going by 1/4 = 0.25 each increment)

Question 550662: In order to solve 7=n+5/3 you have to do this N+5/3=7 and then you make N+5/3*7/1 and you cross multiply to get N+5=21 and then you subtract 5 from both sides and you get N=16.
Found 2 solutions by Intellectualkid1337, richard1234:
Answer by Intellectualkid1337(1)   (Show Source):
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In order to solve 7=n+5/3 you have to do this N+5/3=7 and then you make N+5/3*7/1 and you cross multiply to get N+5=21 and then you subtract 5 from both sides and you get N=16.

Answer by richard1234(4789)   (Show Source):
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Do you mean

, or

?

Question 548847: -3>-3+k
Answer by mathie123(175)   (Show Source):
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Question 546811: Please help me solve this equation Thank you
The product of two numbers is between 30 and 45 . One of them is 11 more than the other number. What are two numbers.
Answer by ankor@dixie-net.com(12678)   (Show Source):
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The product of two numbers is between 30 and 45 .
One of them is 11 more than the other number.
What are two numbers.
Let x = one number
then
(x+11) = the other other
:
The product between 30 and 42, will be the product of two numbers whose difference is 11, how about 42: (14, 3)
x(x-11) = 42
x^2 - 11x - 42 = 0
Factors to
(x-14)(x+3) = 0
x = 14, then the other number is 3
x = -3, then the other number is -14

Question 546805: Please help me solve this equation Thank You ~
The sum of the present ages of Ali and Salimah is 18 years.In 6 years time Ali will be twice as old as Salimah .Find their present ages .
Answer by Earlsdon(6098)   (Show Source):
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Let A = Ali's present age and S = Salimah's present age.
1) A+S = 18 "The sum of the present ages...is 18 years".
2) A+6 = 2(S+6) "In 6 year's time Ali wil be twice as old as Salimah".
Rewrite equation 1) as A = 18-S and substitute into equation 2), then solve for S.
2a) (18-S)+6 = 2(S+6) Simplify.
2b) 24-S = 2S+12 Add S to both sides.
2c) 24 = 3S+12 Subtract 12 from both sides.
2d) 12 = 3S Now divide by 3.
2e) S = 4 and A = 18-4 = 14.
Salimah is 4 years old and Ali is 14 years old.

Question 546536: Please help me solve this
The sum of the present ages of two sisters Ling and Mei is 44 years.4 years ago Ling was thrice as old as Mei .Find their present ages.
Answer by mananth(10539)   (Show Source):
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Ling x years
Mei --- y years
x+y=44...................(1)
4 years ago
ling = x-4
Mei = y-4
(x-4)=3(y-4)
x-4 = 3y-12
x-3y=-8...................(2)
Multiply (1) by 3
3x+3y=132
add it to (2)
4x=124
/4
x=31 lings age
Mei's age = 44-31=13

Question 546534: Please help me solve this
Kelvin,John and Samy had $374.Kelvin had thrice as much as Samy and twice as much as John .How much did Kelvin have ?
Thank you
Answer by mananth(10539)   (Show Source):
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Let kelvin have x
Samy has 1/3 x
John has 1/2 x
x+x/3+x/2=374
LCD =6 multiply by 6
6x+2x+3x=2244
11x=2244
/11
x=204
Kelvin had $204

Question 546047: Where would 5/1 go on a number line with negative and positive numbers that don't have fractions?
Answer by rfer(10417)   (Show Source):
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5/1=5

Question 543374: -2>x≥-5
Answer by umnikmo(72)   (Show Source):
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if you want somebody do the work for you, at least provide enough details.

Question 536725: use all four integers -6, -4, 3, and 8, along with any operation signs to complete the equation.
_ _ _ _ = -2
Found 2 solutions by anasahmed, nerdybill:
Answer by anasahmed(1)   (Show Source):
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-34

Answer by nerdybill(5403)   (Show Source):
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use all four integers -6, -4, 3, and 8, along with any operation signs to complete the equation.
_ _ _ _ = -2
.
((-4) - (-6)) * 3 - 8 = -2

Question 537521: Where would 18 and 20 be on a number line between -1 and 1?
Answer by richard1234(4789)   (Show Source):
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Outside the boundaries.

Question 536513: how would graph -5/2 on a number line?
Answer by jim_thompson5910(21667)   (Show Source):
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-5/2 = -2.5

So plot the point -5/2 exactly halfway between -3 and -2

Question 536450: what are the steps to plot square root of 14 on a number line ?
Answer by fcabanski(385)   (Show Source):
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Step 1 list the numbers and their squares.

Notice that the value in question isn't one of these perfect squares. But it does lie between two of them.

Thus their square roots are in the same relationship.

Which means

Since 14 is closer to 16 than to 9, will be closer to 4 than to 3.

Plot it somewhere between 3 and 4, closer to 4 than to 3.

If you need help understanding math so you can solve these problems yourself, then one on one online tutoring is the answer ($30/hr). If you need faster solutions with guaranteed detailed answers, then go with personal problem solving ($3.50-$5.50 per problem). Contact me at fcabanski@hotmail.com

Question 535113: The sum of 2 consecutive numbers is 37. Find the numbers.
If x represents the smaller integer, then the larger integer is
x + 1
x + 2
2x + 1

Answer by Alan3354(21542)   (Show Source):
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37/2 = 18.5, the center
--> 18 & 19

Question 528612: solve with showing work?3/5 k + 17 = 8/5 k
Answer by Maths68(1140)   (Show Source):
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Take LCD

Multiply by (-1) both sides

Check
=====

Question 527906: where would i mark 0.4 on the number line?
Answer by jim_thompson5910(21667)   (Show Source):
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Draw the number line and mark 0 and 1

Then divide the range from 0 to 1 into ten equal pieces.

Then count out to the fourth tick mark to get to 0.4

If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim

Question 526513: Where do you plot 1/3 on a number line?
Answer by Earlsdon(6098)   (Show Source):
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One third the distance from zero between zero and positive one.

Question 525990: Where is 3/7 on a number line
Answer by jim_thompson5910(21667)   (Show Source):
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3/7 = 0.42857 roughly

So it's just above 1/4 (which is 0.25) and below 1/2 (which is 0.5)

Question 522246: Where is -6/7 on a number line? (This number is a fraction).
Answer by richwmiller(7655)   (Show Source):
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between 0 and -1
-3.5/7=-1/2
so -6/7 is closer to -1 than to 0

Question 521333: Can you represent (-5)(-3) on a number line?
Answer by jim_thompson5910(21667)   (Show Source):
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(-5)(-3) = 15

So you can represent (-5)(-3) on a number line

Simply draw a straight line and mark it like a ruler with numbers 0, 1, 2, 3, ..., 10, 11, 12, 13, 14, 15, 16, 17, ... etc

Then label (-5)(-3) at 15

Question 519494: How do you represent the numbers 40/8 on a number line?
Answer by richard1234(4789)   (Show Source):
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Note that 40/8 = 5, just locate 5.

Question 511834: which is the correct way to Simpify 7(5-2m)-m
35-15m or 35-13m
thank you
Answer by jenni.fowler021510(3)   (Show Source):
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The correct answer is 35-15m
reason: 7(5-2m)-m
7*5=35
7(-2)=-14
-14m-1m=-15m
and them put back together
35-15m

Question 519122: find the distance between 4 and 10 on a number line
Answer by jenni.fowler021510(3)   (Show Source):
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the answer is 6 because 4 is s spaces on a number line.

Question 519090: Y-2>1

Answer by ricebowl(1)   (Show Source):
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Y-2>1
Y>1+2
Y>3

Question 516642: n>4 on a number line
Answer by rfer(10417)   (Show Source):
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a circle around +4 with arrow to the right

Question 516164: how do you graph 5/8 and 7/8 on a number line
Answer by Edwin McCravy(6927)   (Show Source):
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You have to guess about ths and ths of the way from 0 going to the right towards 1. Below I've marked the number line dashed, with 8 dashes between integers: ------------------------⚫-⚫---------- -2 -1 0 1 2 Edwin

Question 513511: where is 4/5 located in a number line?
Answer by jim_thompson5910(21667)   (Show Source):
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4/5 = 0.8 so it is located between 0 and 1

Since 0.8 > 0.5 (which is 1/2) it is also located between 1/2 and 1

Furthermore, 0.8 > 0.75 (which is 3/4), so it's also between 3/4 and 1

Question 513195: (x+4)(x-3)greaterthan or equal to 0
Answer by solver91311(12114)   (Show Source):
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So what was your question?

John

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

Question 512909: on a number line, where would 3/10 be located?
Answer by stanbon(48502)   (Show Source):
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on a number line, where would 3/10 be located?
--------------
Draw a number line.
Plot x = 0 and x = 1 on the line
---
Mark off 9 equal sections between 0 and 1.
---
Starting at 0, count 3 segments to the right.
The right-most mark for that segment is 3/10.
===================
Cheers,
Stan H.
==============

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