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Aliun [14]
3 years ago
7

Evan’s family drove to a theme park for vacation. They drove the same speed throughout the trip. The first day, they drove 300 m

iles in 6 hours. The second day, they drove 250 miles in 5 hours. The third day, they arrived at the park after driving for 3 hours. How many miles did they drive on the third day?
Mathematics
1 answer:
vovangra [49]3 years ago
7 0

Answer:

They drove 150 miles on the 3rd day.

Step-by-step explanation:

Use a ratio to solve:

miles : hours

300  :    6

250  :    5

 50   :     1

  x     :     3

x would be 150 miles

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The fish population in a certain lake rises and falls according to the formula F = 3000(23 + 11t − t2). Here F is the number of
Gemiola [76]

Answer:

a) On January 1, 2017 the fish population will be the same as the initial population.

b) On September 18th, 2018 the fish population will be zero.

Step-by-step explanation:

Hi there!

a) First, let´s write the function:

F(t) = 3000(23 + 11t − t²)

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This will be the population every time at which t² - 11t = 0. Then let´s find the other value of t (besides t = 0) that makes that expression to be zero:

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0 = 23 + 11t − t²

Let´s solve this quadratic equation using the quadratic formula:

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x = [-b ± √(b² - 4ac)] / 2a

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0.8 years · 12 months/year = 9.6 months

If 1 month is 30 days, 0.6 month will be:

0.6 month · 30 days / month = 18 days

All the fish will have died after 12 years, 9 months and 18 days from January 1, 2006. That is, on September 18th, 2018.

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