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3 years ago

How to work out 3b/7 - 1 = 5 precise step by step?

Mathematics

2 answers:

arsen [322]3 years ago

7 0

Answer:

b = 14

Step-by-step explanation:

3b/7 -1 = 5

3b/7 = 6

3b = 6x7 = 42

b = 42/3

b = 14

Neko [114]3 years ago

4 0

Answer:

b = 14

Step-by-step explanation:

3b/7 - 1 = 5

Add 1 to both sides.

3b/7 = 6

Multiply both sides by 7 to cancel the fraction.

3b = 42

Divide both sides by 3 to get b by itself.

b = 14

Proof:

3b/7 - 1 = 5

Insert variable.

3(14)/7 - 1 = 5

Multiply.

42/7 - 1 = 5

Divide.

6 - 1 = 5

Subtract.

5 = 5

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LenKa [72]

The formula that explain the arithmetic sequence is $a_{n}=\frac{3}{7}n-\frac{9}{7}$

Step-by-step explanation:

The formula of the nth term in an arithmetic sequence is

$a_{n}=a+(n-1)d$ , where

a is the first term
d is the common difference between the consecutive terms

∵ $\frac{-6}{7}$ , $\frac{-3}{7}$ , 0 , $\frac{3}{7}$ are some terms of an arithmetic sequence

∵ The difference between two consecutive terms = $\frac{-3}{7}$ - $\frac{-6}{7}$

∴ The difference between two consecutive terms = $\frac{-3}{7}$ + $\frac{6}{7}$ = $\frac{3}{7}$

∴ The common difference = $\frac{3}{7}$

∴ d = $\frac{3}{7}$

∵ The first term is $\frac{-6}{7}$

∴ a = $\frac{-6}{7}$

- Substitute a and d in the formula above

∴ $a_{n}=\frac{-6}{7}+(n-1)\frac{3}{7}$

- Simplify the right hand side

∴ $a_{n}=\frac{-6}{7}+\frac{3}{7}n-\frac{3}{7}$

- Add like terms

∴ $a_{n}=\frac{3}{7}n-\frac{9}{7}$

The formula that explain the arithmetic sequence is $a_{n}=\frac{3}{7}n-\frac{9}{7}$

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

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