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Eva8 [605]
3 years ago
15

What is the fraction of 0.344

Mathematics
1 answer:
Genrish500 [490]3 years ago
6 0
Hello!

\bf Answer:

\boxed{ \bf 0.334~=~344/100~or~43/125} as a fraction.

0.344 = 0.344/1

The 4 is in the thousandths place. Multiply both the numerator and the denominator by 1000.

0.344 × 1000 = 344

1 × 1000 = 1000

This gives us: 344/1000

It's fraction form can be reduced. Simply divide both the numerator and the denominator by 8:

344 ÷ 8 = 43

1000 ÷ 8 = 125

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Answer:

x > -11

Step-by-step explanation:

<u>Step 1:  Subtract 6 from both sides</u>

-4x + 6 - 6 < 50 - 6

-4x < 44

<u>Step 2:  Divide both sides by -4</u>

-4x / -4 < 44 / -4

If you divide by a negative number, you flip the sign.

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Answer:

The exact answer in terms of radicals is x = 5*\sqrt[3]{25}

The approximate answer is x \approx 14.62009 (accurate to 5 decimal places)

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

Work Shown:

Let y = \sqrt[5]{x^3}

So the equation reduces to  -7  = 8-3y

Let's solve for y

-7 = 8-3y

8-3y = -7

-3y = -7-8 ... subtract 8 from both sides

-3y = -15

y = -15/(-3) ... divide both sides by -3

y = 5

-----------

Since y = \sqrt[5]{x^3} and y = 5, this means we can equate the two expressions and solve for x

y = 5

\sqrt[5]{x^3} = 5

x^3 = 5^5 Raise both sides to the 5th power

x^3 = 3125

x = \sqrt[3]{3125} Apply cube root to both sides

x = \sqrt[3]{125*25}

x = \sqrt[3]{125}*\sqrt[3]{25}

x = \sqrt[3]{5^3}*\sqrt[3]{25}

x = 5*\sqrt[3]{25}

x \approx 14.62009

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Step-by-step explanation:

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Step-by-step explanation:

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