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Firdavs [7]
3 years ago
8

Solve the equation 2/3x - 5 = 1/2x - 3

Mathematics
2 answers:
Elden [556K]3 years ago
8 0
2/3x=4/6x
1/2x=3/6x
4/6x-5=3/6x-3
add 5 to both sides
4/6x=3/6x+2
subtract 3/6x from both sides
1/6x=2
multiply both sides by 6
x=12
Lina20 [59]3 years ago
5 0
\frac{2}{3}x-5=\frac{1}{2}x-3\ \ \ \ \ | subtract\ \frac{1}{2}x\\\\
\frac{2}{3}x-\frac{1}{2}x-5=-3\ \ \ \ \ | multiply\ by\ 6\\\\
4x-3x-30=-18\ \ \ \ | add\ 30\\\\
x=12


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katrin2010 [14]
\dfrac{n^2+3n+2}{n^2+6n+8}-\dfrac{2n}{n+4}\\\\=\dfrac{n^2+2n+n+2}{n^2+4n+2n+8}-\dfrac{2n}{n+4}\\\\=\dfrac{n(n+2)+1(n+2)}{n(n+4)+2(n+4)}-\dfrac{2n}{n+4}\\\\=\dfrac{(n+2)(n+1)}{(n+2)(n+4)}-\dfrac{2n}{n+4}\\\\=\dfrac{n+1}{n+4}-\dfrac{2n}{n+4}=\dfrac{n+1-2n}{n+4}=\dfrac{1-n}{n+4}

Answer:\ \boxed{B.\ \dfrac{1-n}{n+4}}
7 0
3 years ago
Help me plz! Help me plz!
erik [133]
After converting to common denominator:

8/18, 7/18, 6/18, 5/18

so the next fraction is 4/18, but if you have to simplify it’s 2/9


6 0
4 years ago
A license plate is to consist of 5 digits followed by 5 uppercase letters. Determine the number of different license plates poss
EastWind [94]

Answer:

5.3044992\times 10^{10}

Step-by-step explanation:

We are given that a license plate consist of 5 digits and 5 uppercase letters

Digits used=0,1,2,..9

Total number of letters=26

Repetition is not allowed

Total number of odd digits=(1,3,5,7,9)=5

The first place filled by 5

Second place filled by 4

Third place filled by 8

Fourth place filled by 7

Fifth place filled by 6

Sixth place filled by 26

Seventh place filled by 25

Eighth place filled by 24

Ninth place filled by 23

Tenth place filled by 22

Total number of possible  different license plates =5\times 4\times 8\times 7\times 6\times 26\times 25\times 24\times 23\times 22=5.3044992\times 10^{10}

7 0
3 years ago
PLZ HELP NOW! Mandy earns money based on how many hours she works. The following table shows Mandy's earnings. Hours 1 2 3 Earni
vampirchik [111]

Answer:

In khan academy, just plot the points and the answer is yes.

Step-by-step explanation:

Use the table to plot the points and you'll figure out that it's proportional- so the answer to the question below is yes. Doesn't need too much explaining.

8 0
3 years ago
You have $1200 to deposit into an account that pays 4.5% interest compounded continuously. How
Aloiza [94]

Answer:

The final balance is £1,720.

The total compound interest is £520

you don't even to round it at all

3 0
3 years ago
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