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maria [59]
3 years ago
11

Inge and Oleg were helping their mom clear rocks from a pasture using a wheelbarrow. If each load of rocks they carried to the f

ence row
weighed an average of 100 pounds, how many loads did it take to move a ton of rock? (recall: I ton = 2000 lbs.)
Mathematics
2 answers:
zzz [600]3 years ago
5 0

Answer:

20 loads

Step-by-step explanation:

2000 divided by 100 is 20

Fofino [41]3 years ago
5 0

Answer: 20

Step-by-step explanation:

1 ton = 2000 lb, 1 load = 100 lb 2000/100 = 20

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Answer:

w is 10 and l is 5

Step-by-step explanation:

l=w-5

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The antibiotic clarithromycin is eliminated from the body according to the formula A(t) = 500e−0.1386t, where A is the amount re
PolarNik [594]

Answer:

Time(t) = 11.61 hours (Rounded to two decimal place)

Step-by-step explanation:

Given: The antibiotic  clarithromycin is eliminated from the body according to the formula:

A(t) = 500e^{-0.1386t}                 ......[1]

where;

A - Amount remaining in the body(in milligram)

t - time in hours after the drug reaches peak concentration.

Given: Amount of drug in the body is reduced to 100 milligrams.

then,

Substitute the value of A = 100 milligrams in [1] we get;

100= 500e^{-0.1386t}

Divide both sides by 500 we get;

\frac{100}{500}=\frac{ 500e^{-0.1386t}}{500}

Simplify:

\frac{1}{5} = e^{-0.1386t}

Taking logarithm both sides with base e, then we have;

\log_e (\frac{1}{5})= \log_e (e^{-0.1386t})

\log_e (\frac{1}{5})=-0.1386t         [ Using \log_e e^a =a ]

or

\log_e (0.2)=-0.1386t

-1.6094379124341 = -0.1386t

 [using value of \log_e (0.2) = -1.6094379124341 ]

then;

t = \frac{-1.6094379124341}{-0.1386}

Simplify:

t ≈11.61 hours.

Therefore, the time 11.61 hours(Rounded two decimal place) will pass before the amount of drug in the body is reduced to 100 milligrams


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Step-by-step explanation:

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