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OLga [1]
3 years ago
5

Fourteen hours after a convict escapes from prison, a guard begins to pursue him. If the convict travels at eight mph on foot an

d the guard travels at 64 mph by car, how far from the prison will the convict be caught by the guard?
Mathematics
1 answer:
algol133 years ago
8 0

9514 1404 393

Answer:

  128 miles

Step-by-step explanation:

The convict has a head start of ...

  distance = speed × time

  distance = (8 mi/h) × (14 h) = 112 mi

That distance is being closed at a rate that is the difference between the speeds, so ...

  64 mi/h -8 mi/h = 56 mi/h

The time it takes the guards to catch the convict will be ...

  time = distance/speed

  time = (112 mi)/(56 mi/h) = 2 h

The guards and prisoner will be at a distance from the prison of ...

  distance = speed × time

  distance = (64 mi/h)(2 h) = 128 mi

The convict will be caught 128 miles from the prison.

__

<em>Check</em>

The convict will run an additional (8 mi/h)(2 h) = 16 mi after the guards start pursuit. That, in addition to the 112 miles already run, will total 112+16=128 miles, the same distance the guards travel in that 2 hours.

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Answer:

Step-by-step explanation:A.

B.

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Step-by-step explanation:

We are given the equation of the line as .

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5 0
2 years ago
Find the slope and the equation please<br><br>and step by step PLEASE.​
Svetllana [295]

Answer:

y = \frac{-4}{5}x + 1

Step-by-step explanation:

Slope is rise over run, or the vertical progression over the horizontal progression.

Your example has a line that heads downwards, so we know that the slope is negative. If we count the squares, the "rise" is down by 4. We count the squares going horizontally and there are 5. So, your slope is \frac{-4}{5}.

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5 0
2 years ago
A postcard has an area of 10 square inches. Two enlargements of the postcard have areas of 40 square inches and 160 square inche
insens350 [35]

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3 0
3 years ago
Rosa works due north of home. Her husband Juan works due east. They leave for work at the same time. By the time Rosa is 7 miles
polet [3.4K]
<span>This is a right triangle problem. c^2 = a^2 + b^2
Let b = 7 mi (Rosa's distance from home)
Let a = the east leg (Juan's distance from home
(a+1) = c (hypotenuse, distance between them)

(a+1)^2 = a^2 + 7^2

FOIL (a+1)(a+1)
a^2 + 2a + 1 = a^2 + 49

Combine like terms
a^2 - a^2 + 2a = 49 - 1
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a = 

<span>a = 24 mi, Juan's distance from home

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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8 0
3 years ago
Which is equivalent to 5(a + 6)?<br><br> 1. a+30<br><br> 2. 5a-30<br><br> 3. 5a+6<br><br> 4. 5a+30
Afina-wow [57]

Answer:  the answer is number four.

Step-by-step explanation:

<h2>because when you take five multiply by A (5*a) you will get 5a and when you take five multiply by six (5*6) you will get 30 and there is positive sign so the plus (+) stays the same and your will be (5a+30) that is your answer. good luck.</h2>
5 0
3 years ago
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