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Lelechka [254]
2 years ago
9

Boating: A paddleboat moves at a rate of 12 mph in still water. If the rover’s current moves at a rate of 3 mph, how long will i

t take the boat to travel 36 miles downstream and 36 miles upsteam? (Two answers)
Mathematics
1 answer:
Lostsunrise [7]2 years ago
4 0

The time taken by the boat to travel 32 miles downstream is 2.1 hours and for upstream 3.56 hours.

<h3>What is speed?</h3>

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.

Given that:-

  • A paddleboat moves at a rate of 12 mph in still water. If the rover’s current moves at a rate of 3 mph.
  • how long will it take the boat to travel 36 miles downstream and 36 miles upstream?

The time taken by the boat upstream will be calculated as:-

( B + W ) Td = D

( 12 + 3 ) Td = 32

( 15 ) Td = 32

Td = 32 / 15 = 2.1 hours

The time taken by the boat downstream will be calculated as:-

( B - W ) Tu = D

( 12 - 3 ) Tu = 32

9 Tu = 32

Tu = 32 / 9 = 3.56 hours.

Therefore the time taken by the boat to travel 32 miles downstream is 2.1 hours and for upstream 3.56 hours.

To know more about Speed follow

brainly.com/question/6504879

#SPJ1

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densk [106]

Answer:

y=7x+3

Step-by-step explanation:

Hi there!

We are given the equation y=7x-5 and we want to find the equation of the line that is parallel to it, and contains the point (4,31)

First, let's find the slope of y=7x-5, since parallel lines have the same slopes

The line y=7x-5 is written slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

Since 7 is in the place of where m is, the slope of the line is 7

It's also the slope of the line parallel to it.

We can substitute 7 as m into the formula y=mx+b for our new line:

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Since the equation will pass through the point (4, 31), we can use it to solve for b; substitute 31 as y and 4 as x

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Hope this helps!

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Tamiku [17]

Hey there!

1. How to find f(5)?

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2. Substitution and Evaluate

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Remember to follow the PEMDAS/BODMAS rules! Exponent comes before multiplication.

\large{f(5) =  - 4(25) + 30 - 4} \\  \large{f(5) =  - 100 + 30 - 4} \\  \large{f(5) =  - 74}

3. Final Answer

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