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ololo11 [35]
2 years ago
14

50 POINTS!!! MUST BE CORRECT OR I WILL DELETE IT AND REPORT IT!

Mathematics
2 answers:
Crank2 years ago
8 0

Answer:

x=9

Step-by-step explanation:

-3 + 5x = 42

add 3 to both sides

5x=45

divide both sides by 5

x=9

Tems11 [23]2 years ago
6 0

Answer:

x=9

Step-by-step explanation:

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1 step. Set up an equation by representing the repeating decimal with a variable. Using your example, you will let x represent the repeating decimal 0.(6), so you have x=0.666... .

2 step. Identify how many digits are in the repeating pattern, or n digits. Multiply both sides of the equation from Step 1 by 10^n to create a new equation. Again, using your example, you see that the repeating pattern consists of just one digit: 6. Now multiply both sides of the equation by 10^1 = 10. Thus, you have 10x = 10 \cdot 0.666... or 10x = 6.666.....

3 step. Subtract the equation in Step 1 from the equation in Step 2. Notice that when we subtract these equations, our repeating pattern drops off. Therefore, 10x-x=6.666...-0.666...\\ 9x=6.

4 step. You now have an equation that you can solve for x and simplify as much as possible, using x as a fraction: 9x = 6. If you divide both sides by 9, you get x=\dfrac{6}{9}. When simplified, you get that x=\dfrac{2}{3}.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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