The United States consumes 2.6 billion cases of bottled water per year. Assume that each case holds 24 ½-liter bottles. Each cas
e is 10.2 inches tall, 15.1 inches long and 8.3 inches wide. If all of these cases were lined up end-to-end at the equator, how many times would they go around the earth? What would be the perimeter and area of the base of all of these cases together? The volume?
Note: The circumference of the earth’s equator is 24,901 miles. 1 mile = 5280 feet
So first find the circumfernece of the earth which is 24,901 times 5280 use a calculator 24,901 times 5280=131,477,280ft 1 ft=12 inches so 131,477,280 times 12=157,727,360 in so 157,727,360 divide by the legnth of the case=1,577,727,360/15.1=104,485,255.62914 cases to go around the earth once so million=1000 thousand billion=1000 million billion=1,000,000,000 2.6 billion=2,600,000,000 so 2,600,000,000/104,458,255.62914=24.88 or rounded up <u>they would go around the earth close to </u><u>25</u><u> times</u>
AREA OF THE BASES base=legnth times width so 15.1 times 8.3 =125.33 in^2 multiply 125.33 in^2 by 2,600,000,000 and get 325,858,000,000 in^2 or 3.25858 times 10^11=area of the bases
PERIMETER OF THE BASES perimeter of the bases 2Legnth+2Width times 2.6 billion 2(15.1)+2(8.3)=46.8 46.8 times 2.6 billion=121,680,000,000 inches or 1.2168 times 10^11= perimeter of all the bases
VOLUME 24 1/2 liter bottles means 24 times 1/2=12 liters in each pack 2.6 billion times 12=<u>31,200,000,000</u> liters or 3.12 times 10^10
You have to distribute! 6(x) = 6x and 6(-6)=-36 So now you have 6x-36=-3(-x+3) Now do the same on the other side. -3(-x)=3x -3(3)=-9 So now, 6x-36=3x-9 Combine the like terms: Subtract 3x in both sides. 6x-3x=3x Now: 3x-36=-9 Add 36 in both sides. 3x=27 Divide by 3 on both sides to get x alone. 3x/3= x 27/3=9 X=9
Niklas takes a dose of 25 micrograms of a certain supplement each day. The supplement has a half life of 4 hours, meaning that 1/64 of the supplement remains in the body after each day. How much of the supplement is in Niklas's body immediately after the 12th dose? Round your final answer to the nearest hundredth.
Answer:
The amount of the supplement in Niklas body immediately after the 12th dose is 430 micrograms to the nearest hundreth
Step-by-step explanation:
Half life is the time required for an element to decay into half of its initial size.
Given that :
The supplement has a half life of 4 hours, this implies that it decay to half of its size every 4 hours.
∴ there are 6 stages of division in a day.
i.e
The amount of the supplement in Niklas body after the first dose (first day) can be calculated as:
= × 25
= 0.390625 micrograms
It is said that he used the supplement daily for 12 days (12th dose),
As such ; we can estimate the amount of the supplement that is in his body immediately after the 12th dose; which is calculated as:
amount in his body per day × number of period for complete decay
= 0.390625 × 11
= 4.296875
≅4.30 micrograms
= 430 micrograms to the nearest hundreth
The amount of the supplement in Niklas body immediately after the 12th dose is 430 micrograms to the nearest hundreth