Question

Evaluate:
$(0.05^3+0.01^3)\div(0.25^3+0.05^3)$

• A. 0.008
• B. 0.004
• C. 0.006
• D. 0.002

Answer 1

Answer:

A. 0.008

$\frac{0.05^3+0.01^3}{0.25^3+0.05^3}$

Calculate:

$0.05^3=0.000125,\qquad 0.01^3=0.000001$
$0.25^3=0.015625,\qquad 0.05^3=0.000125$

So,

$\frac{0.000125+0.000001}{0.015625+0.000125}$

$\frac{0.000126}{0.01575}$

$=\frac{126}{15750}$
$=\boxed{\frac{1}{125}}$
Answer: $(\boxed{\frac{1}{125}}) or 0.008.$