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Juliette [100K]
3 years ago
11

Consider this equation:  2/3 x − 9 − 2x + 2 = 1

Mathematics
2 answers:
Mekhanik [1.2K]3 years ago
6 0
-4/3x (or -1 1/3x if you use whole numbers instead of an improper fraction) -7 = 1
beks73 [17]3 years ago
4 0

Answer:

\displaystyle\frac{2}{3}x - 2x = 1 -2 + 9~~~~~~~~~~~~~~~~~~~~~~~~~~~(1)\\\\ \frac{-4}{3}x = 8~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(2)

Step-by-step explanation:

We are given the following information in the question:

We are given a equation:

\displaystyle\frac{2}{3}x - 9 -2x + 2 = 1

We have to write an equivalent equation to the given equation by combining the like terms.

Like terms:

  • Like terms are terms that have the same variables and powers.
  • The coefficients of the like terms do not need to match.
  • Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers.
  • For example, 2x, 3x, 7x are examples of like terms.

Taking the like terms on one side, we can write the equation as:

\displaystyle\frac{2}{3}x - 2x = 1 -2 + 9~~~~~~~~~~~~~~~~~~~~~~~~~~~(1)\\\\(\frac{2-6}{3})x = 8\\\\\frac{-4}{3}x = 8~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(2)

Equation (1) and (2) are equivalent equation obtained by combining like terms.

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What is the probability that a student who is not in band plays an instrument?
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Answer:

A

Step-by-step explanation:

3 0
3 years ago
Which expression is equivalent to −1/ 12x−1 /3?
alexandr402 [8]

Answer:

\frac{1}{12} (-x-4)

Step-by-step explanation:

the expression we have is:

-\frac{1}{12} x-\frac{1}{3}

To find an equivalent expression, it would be helpful to express 1/3 so that it has a 12 in the denominator:

\frac{1}{3}=\frac{4}{12}

so we substitute this:

-\frac{1}{12} x-\frac{4}{12}

and now we have 1/12 in both terms :

-\frac{1}{12}x-\frac{1*4}{12}

so we can factor it (we take it out of each term: in the first we are left with -x and in the second with -4):

\frac{1}{12} (-x-4)

the equivalent expression is: \frac{1}{12} (-x-4)

5 0
3 years ago
I'll give u a kith pls help
lord [1]

ANSWER:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(−2,−16)

Equation Form:

x= −2, y= −16

8 0
3 years ago
Read 2 more answers
What is the relationship between the 6s in 6,600 value of the given digits?
Karolina [17]

The relationship between the 6s in 6,600 value of the given digits

We write the numbers in place value chart

Thousand     Hundreds          Tens      Ones

 6                     6                        0             0

first 6 is in thousands place

next 6 is in hundreds place

6 thousand is 10 times greater than 6 hundred

6000 is 10 times greater than 600


5 0
3 years ago
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Complete the recursive formula of the geometric sequence 500, 200, 80, 32, ....
Ksju [112]

Answer:

times 0.4

Step-by-step explanation:

The recursive formula allows a term in the sequence by multiplying the previous term by the common ratio r

Here

r = \frac{200}{500} = \frac{2}{5} = 0.4

Thus the recursive formula is

c(n) = c(n - 1) × 0.4 → with c(1) = 500 ← the first term in the sequence

8 0
3 years ago
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