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2 years ago

Maria hiked 2 miles in 1.5 hours how long will it take her to hike 6 miles

Mathematics

2 answers:

katrin2010 [14]2 years ago

8 0

Answer:

4.5 Hours

Step-by-step explanation:

2/1.5=6/ x

Cross multiply

2x=1.5*6

2x=9

x=4.5

Darya [45]2 years ago

7 0

Answer:

4.5 hours

Step-by-step explanation:

If 2 miles takes 1.5 hours, then 6 miles will be 4.5 hours.

2 miles = 1.5 hours

6 times 1.5 = 4.5

Therefore, 6 miles will take 4.5 hours.

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If an airplane travels 110 mph for 5 hours, what is the total distance traveled?

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3 years ago

A particle moves on the hyperbola xy=18 for time t≥0 seconds. At a certain instant, y=6 and dydt=8. What is x that this instant?

professor190 [17]

Answer:

The value of x at this instant is 3.

Step-by-step explanation:

Let $x\cdot y = 18$ , we get an additional equation by implicit differentiation:

$x\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (1)

From the first equation we find that:

$x = \frac{18}{y}$ (2)

By applying (2) in (1), we get the resulting expression:

$\frac{18}{y}\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (3)

$y\cdot \frac{dx}{dt}=-\frac{18}{y}\cdot \frac{dy}{dt}$

$\frac{dx}{dt} = -\frac{18}{y^{2}} \cdot \frac{dy}{dt}$

If we know that $y = 6$ and $\frac{dy}{dt} = 8$ , then the first derivative of x in time is:

$\frac{dx}{dt} = -\frac{18}{6^{2}} \cdot (8)$

$\frac{dx}{dt} = -4$

From (1) we determine the value of x at this instant:

$x\cdot \frac{dy}{dt} = -y\cdot \frac{dx}{dt}$

$x = -y\cdot \left(\frac{\frac{dx}{dt} }{\frac{dy}{dt} } \right)$

$x = -6\cdot \left(\frac{-4}{8} \right)$

$x = 3$

The value of x at this instant is 3.

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3 years ago

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Answer: -4

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Please mark Brainliest!

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