7) pepsi puts 355 ml of pop in a can. how many drops is this? how many cubic meters is this? 8) chicago uses…

7) pepsi puts 355 ml of pop in a can. how many drops is this? how many cubic meters is this? 8) chicago uses 1.2 x 10^9 gallons of water /day. how many gallons per second must be pumped from the lake every second to supply the city? 9) sixty miles/ hour is how many ft/sec? 10) lake michigan holds 1.3 x 10^15 gallons of water. if just chicago removed water from the lake and it never rained again, how many days would the water last? chicago uses 1.2 x 10^9 gallons of water /day 11) how many minutes are in 180.0 days? 12) if a person weighs 125 lbs, 8 oz., how many mg does s/he weigh?
Answer
7)
Explanation:
Step1: Convert ml to drops
Typically, 1 ml is about 20 drops. So for 355 ml, we multiply by 20. $355\times20 = 7100$ drops
Step2: Convert ml to cubic - meters
We know that 1 ml = 1 $cm^{3}$, and 1 $m^{3}=10^{6}cm^{3}$. So, $355ml = 355cm^{3}$. To convert to $m^{3}$, we divide by $10^{6}$. $355\div10^{6}=3.55\times 10^{-4}m^{3}$
Answer:
7100 drops, $3.55\times 10^{-4}m^{3}$
8)
Explanation:
Step1: Convert days to seconds
There are 24 hours in a day, 60 minutes in an hour and 60 seconds in a minute. So, 1 day = $24\times60\times60 = 86400$ seconds.
Step2: Calculate gallons per second
We divide the total gallons per day by the number of seconds per day. Given 1.2×$10^{9}$ gallons per day. $\frac{1.2\times 10^{9}}{86400}\approx1.39\times 10^{4}$ gallons per second
Answer:
$1.39\times 10^{4}$ gallons per second
9)
Explanation:
Step1: Convert miles to feet
We know that 1 mile = 5280 feet. So, 60 miles = $60\times5280 = 316800$ feet.
Step2: Convert hours to seconds
1 hour = 3600 seconds.
Step3: Calculate feet per second
We divide the total feet by the total seconds. $\frac{316800}{3600}=88$ ft/sec
Answer:
88 ft/sec
10)
Explanation:
Step1: Calculate the number of days
We divide the total amount of water in the lake by the amount of water used per day by Chicago. Given the lake has 1.3×$10^{15}$ gallons and Chicago uses 1.2×$10^{9}$ gallons per day. $\frac{1.3\times 10^{15}}{1.2\times 10^{9}}\approx1.08\times 10^{6}$ days
Answer:
$1.08\times 10^{6}$ days
11)
Explanation:
Step1: Convert days to minutes
There are 24 hours in a day and 60 minutes in an hour. So for 180.0 days, we multiply by 24 and then by 60. $180.0\times24\times60 = 259200$ minutes
Answer:
259200 minutes
12)
Explanation:
Step1: Convert pounds and ounces to ounces
1 pound = 16 ounces. So 125 lbs is $125\times16 = 2000$ ounces. Then adding the 8 ounces, we have a total of $2000 + 8=2008$ ounces.
Step2: Convert ounces to grams
1 ounce = 28.35 grams. So 2008 ounces is $2008\times28.35 = 56926.8$ grams.
Step3: Convert grams to milligrams
1 gram = 1000 milligrams. So, $56926.8\times1000 = 5.69268\times 10^{7}$ mg
Answer:
$5.69268\times 10^{7}$ mg