Question

question 4: how many ounces are in 587 micrograms? a. 4.80 x 10^(-2) oz b. 2.07 x 10^(-5) oz c. 3.11 x 10^(-4) oz d. 5.09 x 10^(-4) oz e. 480. oz question 5: how many decimeters in 0.549 miles? a. 998 dm b. 8830 dm c. 7040 dm d. 957 dm e. 11,600 dm

Explanation:

Step1: Convert micrograms to ounces for first question

1 microgram ($\mu g$) = $3.5274\times 10^{-8}$ ounces. So for 587 micrograms, we multiply 587 by $3.5274\times 10^{-8}$.
$587\times(3.5274\times 10^{-8})=(587\times3.5274)\times10^{-8}=2070.5838\times10^{-8}=2.0705838\times 10^{-5}$ ounces.

Step2: Convert miles to decimeters for second question

1 mile = 16093.44 meters and 1 meter = 10 decimeters. So 1 mile = $16093.44\times10 = 160934.4$ decimeters.
For 0.549 miles, we multiply 0.549 by 160934.4.
$0.549\times160934.4 = 88353.9856\approx88300$ (rounded to 3 - significant figures) decimeters.

Answer:

1. B. $2.07\times 10^{-5}$ oz
2. B. 8830 dm