Marta and Nicole run laps around the track they run at the same constant speed but Marta starts first when Marta has run 5 laps
1 answer:
<h2>Hello!</h2>
The answer is:
Nicole has to run 6 laps when Marta has run 8 laps.
<h2>Why?</h2>In order to calculate how many laps will Nicole have to run when Marta has run 8 laps, we need to use two equations.
We must consider that since both Marta's and Nicole's speed are constant all the time, Marta wil always run more laps than Nicole, meaning that there is not possibility for Nicole to run the same number of laps that Marta.
We know that they started at different time at the same constant speed, and when Marta has run 5 laps, Nicole has run 3 laps, there is a difference of 2 laps, and it will be always like that.
So, we can conclude that Marta will always be 2 laps ahead of Nicole.
For Marta we have:
For Nicole we have:
Now, if we want to calculate how many laps will Nicole has to run when Marta has run 8 laps, we need to use the second equation (Nicole's equation) and substitute the number of laps (Marta's lap), so, substituting and calculating we have:
Hence, we have that Nicole has to run 6 laps when Marta has run 8 laps.
Have a nice day!
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Answer:
<em>Gardener will need 4 more plants.</em>
Step-by-step explanation:
Gardener has 780 plants and wants to plant them in an array of n rows and n columns.
The number of plants needed to do that is:
He actually has 780 plants, thus it should occur:
Taking the square root:
n=27.9
Since n needs to be an integer, we round up n to get
n=28
But , 4 more than the actual number of plants, thus:
Gardener will need 4 more plants.
Note: There are other possible results for n. If we set n=29, then and Gardener would need 841-780=61 more plants, but the question asked for the minimum number of plants.