anonymous
  • anonymous
42.) the sum of a number and one-third of the number is equal to the sum of twice the number and ten. find the number??????????
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
n+1/3n=2n+10 solve for n
anonymous
  • anonymous
idk how to solve it w/the 1/3??? what do I do first on left side????
anonymous
  • anonymous
You could start by finding the common denominator for all terms.

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anonymous
  • anonymous
6?
anonymous
  • anonymous
6 or 20?
anonymous
  • anonymous
Out of those two 6 would work the best, but 3 would probably your best choice.
anonymous
  • anonymous
how would iine?????
anonymous
  • anonymous
You multiply each of your terms by 3/3 except for your 1/3n term because it already has a denominator of 3.
anonymous
  • anonymous
3/3 multiply by 2n and 10 too?????????
anonymous
  • anonymous
\[3/3(n+1n/3=2n+10)\] \[3n/3 + n/3=6n/3+30/3\]
anonymous
  • anonymous
Exclude the 1n/3 term in that distribution
anonymous
  • anonymous
N=6n+10
anonymous
  • anonymous
that's what I got, is it correct??
anonymous
  • anonymous
Could you show me how you got that?
anonymous
  • anonymous
3n/3+n/3=30/3 N=10
anonymous
  • anonymous
Where is your 2n term?
anonymous
  • anonymous
N=10+6n
anonymous
  • anonymous
so the number is 10+6n ?????
anonymous
  • anonymous
????????
anonymous
  • anonymous
3n/3+n/3=6n/3+30/3 We could distibute a 3 to each of these terms so that they are no longer fractions. 3(3n/3+n/3=6n/3+30/3) 3n+n=6n+30
anonymous
  • anonymous
and that equation might be easier to solve
anonymous
  • anonymous
I got N=2n+30
anonymous
  • anonymous
Can I ask where your getting the "N" in N=2n+30
anonymous
  • anonymous
4n-4n=N
anonymous
  • anonymous
Does N represent zero?
anonymous
  • anonymous
oh yeah my bad/:
anonymous
  • anonymous
If that is the case then your previous response "N=2n+30" is correct but still needs to be solved
anonymous
  • anonymous
the number is 15 ????
anonymous
  • anonymous
Indeed :)
anonymous
  • anonymous
mind helping w/afew more pleaseeee???????????????
anonymous
  • anonymous
How many?
anonymous
  • anonymous
2-4 dif but similar on back
anonymous
  • anonymous
Sure
anonymous
  • anonymous
2.) separate 104 into two parts so that one part is 18 more than the other part. find each part???? @Tauist628
anonymous
  • anonymous
104 split in two n+18 and n so 2n+18=104, solve for n
anonymous
  • anonymous
I got N=43
anonymous
  • anonymous
I got N=43 @Tauist628
anonymous
  • anonymous
Correct :)
anonymous
  • anonymous
but theres more than one unknown how do I find the 2nd unknown???? @Tauist628
anonymous
  • anonymous
If you know what N is, then you should substitute it in for the equation of your 2nd unknown, N+18
anonymous
  • anonymous
thanks
anonymous
  • anonymous
You're welcome.
anonymous
  • anonymous
3 last qustions????
anonymous
  • anonymous
Do they all have the same basic concept for solving them?
anonymous
  • anonymous
yeah but 10-13 look harder
anonymous
  • anonymous
Let's work them out together and such
anonymous
  • anonymous
10.)the sm of the ages of Ruth and her mother is 75 years. The difference in their age is 29 years. how old is each?????? 11.) The sum of $180 was divided amoung 3 people so that the second person recievd $6 less than twice as much as te first, and the third received $7 more than the second. how much did each person receive????? 12.) The sum f $305 was divided among 3 people so that the secon received $4 ess than twice as much as the first, and the thirdrecieved $23 more than the second. HOW much did each person receive?????? 8.) Stanley worked 6 more than twice as many hou as Kathleen did.. How many hours did each work if tgether they worked 69 hours??????
anonymous
  • anonymous
Well....
anonymous
  • anonymous
10.) A system of equations should be set up. r+m=75 and m-r=29
anonymous
  • anonymous
what number??????
anonymous
  • anonymous
Solve for either variable Ex r=75-m or m=75-r for your first equation and m=29+r or r=m-29
anonymous
  • anonymous
what number?????? @Tauista628
anonymous
  • anonymous
@Tauist628
anonymous
  • anonymous
What do you mean "what number"?
anonymous
  • anonymous
what number was u even talking about??? ur last comment?
anonymous
  • anonymous
OH, which question? I was doing question #10
anonymous
  • anonymous
can u repeat whaever u said please?
anonymous
  • anonymous
:/
anonymous
  • anonymous
10.) A system of equations should be set up. r+m=75 and m-r=29 Solve for either variable Ex r=75-m or m=75-r for your first equation and m=29+r or r=m-29
anonymous
  • anonymous
how do u solve m=29+r?
anonymous
  • anonymous
You plug into the original equation r+m=75 substitue "m" with (29+r) r+(29+r)=75
anonymous
  • anonymous
solve for r
anonymous
  • anonymous
I got r^2=75/29 ???
anonymous
  • anonymous
You're not distributing the r, you're just adding r+(29+r)=r+r+29
anonymous
  • anonymous
don't get it please help asap after this one I gtg
anonymous
  • anonymous
ilike help on 11 and 12 if u can???? tho,
anonymous
  • anonymous
r+r+29=75 2r+29=75 2r=46 r=23 Substitute this back in for your first equation m+r=75 m+23=75 m=52 so Ruth's age is 23 and her mother's age is 52
anonymous
  • anonymous
Could those be done at another time?
anonymous
  • anonymous
pleaseeee if u don't mind I could really use the help due tom. pleaseee
anonymous
  • anonymous
I thought you said you had to go.
anonymous
  • anonymous
yeah I got yelled at for being up at ten but have to finish my homework.. mind help????
anonymous
  • anonymous
Okay could you retype #11 so I won't have to scroll as much
anonymous
  • anonymous
11) the sumof $180 was divided among 3 people so that tcond perso received $6 less than twice as much as the first, and received $7 more than the secd. How much did each person receive?????
anonymous
  • anonymous
PLease help ASAP
anonymous
  • anonymous
I can't read the question very well. Which person is which?
anonymous
  • anonymous
second person $6
anonymous
  • anonymous
180=(2n-6)+(n-7)+n 180=4n-13 solve for n
anonymous
  • anonymous
N=48.25
anonymous
  • anonymous
now plug n in for your original equations 2n-6=2nd Person n-7=3rd Person n=1st Person
anonymous
  • anonymous
not understanding
anonymous
  • anonymous
2(48.25)-6=Money given to 2nd person 48.25-7=Money given to 3rd person 48.25=money given to first person
anonymous
  • anonymous
ok thanks.. can u scroll up for 12 please????
anonymous
  • anonymous
12.) The sum f $305 was divided among 3 people so that the secon received $4 ess than twice as much as the first, and the thirdrecieved $23 more than the second. HOW much did each person receive?????? Same concept 305=(2n-4)+(2n-4+23)+n 305=5n+15 290=5n solve for n then substitute back into your original equations 2(n)-4=Money given to 2nd person 2(n)-4+23=Money given to 3rd person (n)=Money given to 1st person
anonymous
  • anonymous
lost????
anonymous
  • anonymous
290=5n n=58 substitute back in 2(58)-4=Money to 2nd person 2(58)+19=Money to 3rd person 58=Money to 1st person Also, don't forget to put your labels
anonymous
  • anonymous
thanks!!!!!!!!!!!
anonymous
  • anonymous
Next question?
anonymous
  • anonymous
that's it..thanks soooo much
anonymous
  • anonymous
I would like to advise to make sure for #11 that each person is getting the correct corresponding value as I wasn't able to accurately tell which was which.
anonymous
  • anonymous
ok...thanks!!!!!!
anonymous
  • anonymous
If you ever need anymore help feel free to send a message and I'll help as much as I can. Bye

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