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AveGali [126]
3 years ago
5

Lois rode her bike to visit a friend. she traveled at 10 mi/h. Her friend drove her home in a car traveling at 25 mi/h. Lois too

k 1.5 hours longer to go to her friend's than to return home. How many hours did it take Lois to ride to her friend's house?
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
5 0

Speed of Lois' bike = 10 miles/h

Speed of Lois' friend's car = 25 miles/h

Time taken by Lois to reach via car = t hours

Time taken by Lois to reach via bike = 1.5 + t

We know that the distance traveled in both the cases is the same

Hence, distance traveled by car = distance traveled by bike

⇒ Speed of car × time taken by car = Speed of bike × time taken by bike

⇒ 25 × t = 10 × (t+1.5)

⇒ 25t = 10t + 15

⇒ 15t = 15

⇒ t = 1

Hence, Lois took t + 1.5, i.e. 2.5 hours to reach his friend's house.

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Among 21- to 25-year-olds, 29% say they have driven while under the influence of alcohol. Suppose that three 21- to 25-year-olds
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P(3) = 0.0244

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the probability that all three selected have driven while under the influence of alcohol is;

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3 years ago
Find the focus and directrix of the parabola with the equation x² = -22y.
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Answer:

  focus: (0, -5.5)

  directrix: y = 5.5

Step-by-step explanation:

The equation compares to the form ...

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The value of p is the distance from the vertex to the focus. The negative value means the focus is below the vertex at (0, -5.5).

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