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goldfiish [28.3K]
3 years ago
5

Police chases a driver. Originally, the police is 1 mile behind the driver. The speed of the police car is 90 mph, and the speed

of the chased car is 85 mph. How long will it take for the police to catch up with the car?
Mathematics
1 answer:
sweet [91]3 years ago
6 0

Answer:

  12 minutes

Step-by-step explanation:

The difference in distance started out being 1 mile. The difference in speeds is 5 mph, so that 1 mile will be covered in ...

  time = distance/speed = 1 mi/(5 mi/h) = (1/5) h

The police will catch up in 1/5 hour, or 12 minutes.

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In 2016, there were a total of 41 national battlefields and national memorials. The number of national memorials is three less t
goldfiish [28.3K]

Answer: 11, 30

Step-by-step explanation:

Given

There were a total of 41 national battlefields and national memorials

Suppose there are x national battlefields

So, national memorials are 3x-3

The sum of the two must be 41

\Rightarrow x+3x-3=41\\\Rightarrow 4x=44\\\Rightarrow x=11

So, there are 11 national battlefields and 3\times 11-3=30 national memorials.

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2 years ago
How many 1/3 cups servings are in 4 cups
Andrew [12]

Only one that would make sense is 1/12

8 0
3 years ago
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13.79-x for x=2.54<br> What is the answer
schepotkina [342]

Answer:

11.25

Step-by-step explanation:

13.79-x

Let x= 2.54

13.79-2.54

11.25

3 0
3 years ago
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What is the GCF of two prime numbers?
ehidna [41]
Prime numbers: numbers which only have the factors of themselves and 1.

They include numbers such as 17, 19, 23, etc. These are numbers which only have two factors: such as 17, with the factors only being 17 and 1.

So therefore, this means, that for any two prime numbers, unless they are the same number, the only factor they will share is 1. So therefore the GCF of two prime numbers is 1.

Hope this helped!
4 0
3 years ago
s x – 5 a factor of the function f(x) = x3 – 5x2 + 7x – 35? Use the Remainder Theorem to justify your answer.
Assoli18 [71]

By using the remainder theorem we found that ( x - 5 ) is the factor of function  f(x) = x³ – 5x² + 7x – 35.

<h3>What is factorization?</h3>

Factorization is defined as splitting the polynomial into its most simplified form. This factor satisfies the polynomials from which it is extracted.

The factorization by using the Remainder theorem.

x - 5 )   x³ – 5x² + 7x – 35.( x ² + 7

             x³  -  5x²

             ______________

                00         7x - 35

                             7x - 35

              -------------------------

                                     00

Here the function is completely divided by the factor x - 5 therefore

by using the remainder theorem we found that ( x - 5 ) is the factor of function  f(x) = x³ – 5x² + 7x – 35.

To know more about factorization follow

brainly.com/question/25829061

#SPJ1

3 0
1 year ago
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