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2 years ago

Can someone help me with this

Mathematics

2 answers:

frez [133]2 years ago

8 0

Answer:

8 laps

Step-by-step explanation:

Assuming in the equation given than n represents the number of laps run and t represents the time in minutes, when we plug in 16 in for t and simplify we get:

n=5/10*16

n=1/2*16 (Simplify the fraction by dividing top and bottom by 5)

n=16/2 (Multiply the fractions together by writing 16 as 16/1 and multiplying straight across)

n=8

Kipish [7]2 years ago

7 0

Answer:

Step-by-step explanation:

This question is a bit of a guess. You have to assume that n is in laps and that t is in minutes.

n = (5/10) * t Reduce 5/10 to 1/2

n = 1/2 * 16

n = 8

So if the assumptions are correct, he should be able to do 8 laps.

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$\large\boxed{\dfrac{\boxed{8}}{81}}$

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$\text{If}\ a_1,\ a_2,\ a_3,\ a_4,\ ...,\ a_n\ \text{is the geometric sequence, then}\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=constant=r-\text{common ration}.\\\\\text{We have}\ \dfrac{1}{2},\ \dfrac{1}{3},\ \dfrac{2}{9},\ \dfrac{4}{27},\ ...\\\\\dfrac{\frac{1}{3}}{\frac{1}{2}}=\dfrac{1}{3}\cdot\dfrac{2}{1}=\dfrac{2}{3}\\\\\dfrac{\frac{2}{9}}{\frac{1}{3}}=\dfrac{2}{9}\cdot\dfrac{3}{1}=\dfrac{2}{3}\\\\\dfrac{\frac{4}{27}}{\frac{2}{9}}=\dfrac{4}{27}\cdot\dfrac{9}{2}=\dfrac{2}{3}$

$\bold{CORRECT}\\\\\dfrac{x}{\frac{4}{27}}=\dfrac{2}{3}\qquad\text{multiply both sides by}\ \dfrac{4}{27}\\\\x=\dfrac{2}{3}\cdot\dfrac{4}{27}\\\\x=\dfrac{8}{81}$

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