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2 years ago

A car travels 360 miles in 6 hours. How far will it travel in 15 hours

Mathematics

2 answers:

jeka942 years ago

5 0

360 miles in 6 hours I also did it by 1 hour to make sure it

? miles in 15 hours would be correct and here is my work

6/360 set equal to 15/x 6/360 set equal to 1/x

cross multiply so you will get cross multiply

6x=5400 6x=360

divide by 6 on both sides divide both sides by 6

x=900 miles x=60 miles

then you can multiply 60 miles by 15

and you will get 900 miles

Travka [436]2 years ago

4 0

Hello there, my fellow human being!

So, first we have to find the unit rate to figure out how much miles the car travels in 1 hour360/6 = 60. The car travels 60 miles in one hour.

Now, lets figure out how much it travels in 15 hours by multiplying 15 with 60.
60*15 = 900.
So, the car will 900 miles in 15 hours.

Hope this helped!
~Ruru

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saveliy_v [14]

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3 years ago

he radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost

elena-s [515]

Answer:

The bones were 12,485 years old at the time they were discovered.

Step-by-step explanation:

Amount of the element:

The amount of the element after t years is given by the following equation, considering the decay rate proportional to the amount present:

$A(t) = A(0)e^{-kt}$

In which A(0) is the initial amount and k is the decay rate, as a decimal.

The radioactive element carbon-14 has a half-life of 5750 years.

This means that $A(5750) = 0.5A(0)$ , and we use this to find k. So

$A(t) = A(0)e^{-kt}$

$0.5A(0) = A(0)e^{-5750k}$

$e^{-5750k} = 0.5$

$\ln{e^{-5750k}} = \ln{0.5}$

$-5750k = \ln{0.5}$

$k = -\frac{\ln{0.5}}{5750}$

$k = 0.00012054733$

$A(t) = A(0)e^{-0.00012054733t}$

A scientist determined that the bones from a mastodon had lost 77.8 % of their carbon-14. How old were the bones at the time they were discovered?

Had 100 - 77.8 = 22.2% remaining, so this is t for which:

$A(t) = 0.222A(0)$