Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

31 micrograms = grams the unit \gram\ measures the quantity mass. you d…

Question

31 micrograms =

grams
the unit \gram\ measures the quantity mass. you dont have to know this to do the problem!

question 11
convert 429 yards to yards feet and inches:
convert in us units using the following chart:
1 ft = 12 in 1 yd = 3 ft 1 mi = 5280 ft
1 lb = 16 oz 1 ton = 2000 lb
1 cup = 8 fl oz 1 pint = 2 cup 1 qt = 2 pint
1 gal = 4 qt
429 yards =

Explanation:

Step1: Convert micrograms to grams

We know $1\ \text{microgram} = 10^{-6}\ \text{grams}$.
$31\ \text{micrograms} = 31 \times 10^{-6}\ \text{grams} = 3.1 \times 10^{-5}\ \text{grams}$

Step2: Simplify yard to ft/in conversion

Given $1\ \text{yd}=3\ \text{ft}$, $429\ \text{yd}$ is already a whole number of yards, so there are 0 remaining feet and 0 remaining inches.
$429\ \text{yd} = 429\ \text{yd} + 0\ \text{ft} + 0\ \text{in}$

Answer:

31 micrograms = $\boldsymbol{3.1 \times 10^{-5}}$ grams
429 yards = $\boldsymbol{429}$ yd $\boldsymbol{0}$ ft $\boldsymbol{0}$ in