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olga_2 [115]
3 years ago
13

Explain how to estimate 498÷12

Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
8 0
498 is approximately 500

12 is approximately 10



500/10 = 50



So, 498/12 is approximately 50.
exis [7]3 years ago
8 0
Round 498 to the hundreds place making it 500. Then round the twelve to a 10 because you have to follow the rule that if the digit you are rounding is below five you go back if it is above five you round to the next place. The problem would then become 500/10 which is equal to 50
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Answer:

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

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

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

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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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