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Solnce55 [7]
2 years ago
11

What is the solution to the equation 5x = 32? x = 6 x = 6.4 x = 27 x = 160

Mathematics
1 answer:
natali 33 [55]2 years ago
8 0
Dividing thirty-two by five we get
x=32/5
=6•4
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Please help show work too please thank you
Black_prince [1.1K]
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Express $0.\overline{5}$ as a common fraction in lowest terms.
andreyandreev [35.5K]
<h3>Answer:  5/9</h3>

=======================================================

Explanation:

0.\overline{5} means that the 5's go on forever because of that horizontal bar over top. So we can write it as 0.\overline{5} = 0.55555\ldots

The three dots indicate it goes on forever following that pattern.

Let

x = 0.55555....

Multiply both sides by 10 to move the decimal point 1 spot to the right

10x = 5.55555....

Notice how both x and 10x involve a decimal number such that we have a string of 5's going on forever. If we subtract the two equations, then 10x-x becomes 9x, while the (5.55555....) - (0.55555....) simplifies to 5. The decimal portions cancel out when we subtract since they line up perfectly. We're effectively subtracting 5-0 when we cross off the decimal portions.

After those subtractions, we're left with 9x = 5 which solves to x = 5/9 when you divide both sides by 9.

Use of a calculator should show that 5/9 = 0.555555.... to help confirm the answer. Your calculator may show the last digit to be a 6 instead of a 5, but this is due to rounding. Ideally you should have a string of infinitely many 5's, but the calculator can only how so many digits.

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Answer:

All real numbers

Step-by-step explanation:

See attachment for step-by-step

7 0
2 years ago
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