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3 years ago

Travel 400 miles with 15 gallons how many with 6 gallons

Mathematics

2 answers:

Schach [20]3 years ago

8 0

421 because 400 plus 15 plus 6 is 421

DENIUS [597]3 years ago

7 0

1 gallons equal to 400 miles divided with 15=27
6 gallons =26.67 miles( round off equals 27) × 6= 162
Not sure about it

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4 years ago

What is the simplified form of √10000x^64 ? 5000x^32 5000x^8 100x^8 100x^32

denis23 [38]

Answer:

Option (d) is correct.

$\sqrt{10000x^{64}}=100x^{32}$

Step-by-step explanation:

Given : Expression $\sqrt{10000x^{64}}$

We have to write a simplified form of the given expression $\sqrt{10000x^{64}}$

Consider the given expression $\sqrt{10000x^{64}}$

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0$

$=\sqrt{10000}\sqrt{x^{64}}$

Factor 10000 as $10000=100^2$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a$

$\sqrt{100^2}=100$

also, $\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad \mathrm{\:assuming\:}a\ge 0$

We have,

$\sqrt{x^{64}}=x^{\frac{64}{2}}=x^{32}$

Thus, $\sqrt{10000x^{64}}=100x^{32}$

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4 years ago

Read 2 more answers