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marissa [1.9K]
3 years ago
9

(w- 4/9) (-2/3) = -4/5 Solve for w

Mathematics
2 answers:
anygoal [31]3 years ago
7 0

Answer:

w=74/45

Step-by-step explanation:

(w-4/9)(-2/3)=-4/5

-2/3w+8/27=-4/5

-2/3w=-4/5-8/27

-2/3w=-108/135-40/135

-2/3w=-148/135

w=(-148/135)/(-2/3)

w=-148/135*-3/2,

w=74/45

Kaylis [27]3 years ago
4 0

<u>exact form:</u>

w= 74/45

<u>decimal form:</u>

w= 1.64

<u>mixed number:</u>

w= 1 29/45

brainliest would be appreciated :)

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Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37
Mandarinka [93]

Answer:

The general rule is a_n = -2 - 5(n-1)

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The general rule of an arithmetic sequence is given by:

a_{n} = a_1 + (n-1)d

In which a_1 is the first term and d is the common difference.

We can also find the nth term as a function of a term m, using:

a_n = a_m + (n-m)d

a3 = -12 and a8 = -37

First we find the common difference. So

a_n = a_m + (n-m)d

a_8 = a_3 + (8-3)d

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d = -\frac{25}{5}

d = -5

So

a_n = a_1 - 5(n-1)

Finding the first term:

a_n = a_1 - 5(n-1)

Since a_3 = -12

a_n = a_1 - 5(n-1)

a_3 = a_1 - 5(3-1)

a_1 = a_3 + 10 = -12 + 10 = -2

So the general rule is:

a_n = a_1 - 5(n-1)

a_n = -2 - 5(n-1)

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3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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Six times a number is equal to eight more than five times the number
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