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Pavel [41]
3 years ago
14

The distance from Wakefield to London is 180 miles. A train travels this distance in 2 hours 15 minutes. Calculate the average s

peed of the train.
Mathematics
1 answer:
Readme [11.4K]3 years ago
4 0

Answer:

v = 80 mph

Step-by-step explanation:

Given that,

The distance from Wakefield to London is 180 miles.

The train travels this distance in 2 hours 15 minutes.

We need to find the average speed of the train. The average speed of the train is equal to the total distance covered divided by the time taken.

v=\dfrac{d}{t}\\\\v=\dfrac{180\ miles}{(2+\dfrac{15}{60})\ h}\\\\v=80\ mph

So, the required average speed of the train is 80 mph.

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Aidan looked at how many people ride the morning
SashulF [63]

Answer:

Average number of people ride ferry boat = 62 or 63 people

Step-by-step explanation:

Given:

Number of people ride ferry boat

58 59 60 61 62 63 64 65 66 67

Find:

Average number of people ride ferry boat

Computation:

Average mean = Sum of all observation / Number of observation

Average number of people ride ferry boat = [58 + 59 + 60 + 61 + 62 + 63 + 64 + 65 + 66 + 67] / 10

Average number of people ride ferry boat = [625] / 10

Average number of people ride ferry boat = 62.5

Average number of people ride ferry boat = 62 or 63 people

5 0
3 years ago
F(x)=x^3+10x^2+31x+30
Colt1911 [192]

The factors of the given polynomial will be ( x + 2 ), ( x + 5 ) and ( x + 3 ).

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The given expression will be solved as:-

f(x) = x³ + 10x² + 31x + 30

f(x) = ( x³ + 7x² + 10x + 3x² + 21x + 30

f(x) = ( x² + 7x + 10 ) ( (x + 3 )

f(x) = ( x²+ 5x + 2x + 10 ) ( x + 3 )

f(x) =[ x ( x+ 5 ) +2 ( x+ 5) ] ( x + 3 )

f(x) = ( x + 5 ) ( x + 2 ) ( x + 3 )

Therefore factors of the given polynomial will be ( x + 2 ), ( x + 5 ) and ( x + 3 ).

To know more about Expression follow

brainly.com/question/723406

#SPJ1

5 0
2 years ago
−5 1 3 − 2 1/3<br><br><br><br><br> zzzzzzzzzzzzzzz
Leona [35]

Answer:

5 1/3

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
The archway to the entrance of an art gallery can be model by y= -1/3(x-5)(x+5) where x and y are measured in feet. The x-axis r
NikAS [45]

Answer:

x=5 feet

Step-by-step explanation:

At floor level y=0

If the expression is:

0=1/3(x-5)(x+5)\\0=1/3(x^2-25)\\0=1/3x^2-25/3\\25/3=1/3x^2\\25=x^2\\x=5

But, with the negative sign, the answer is x= 5i (where i is imaginary)

3 0
3 years ago
The value of a new truck decreases exponentially at a rate of 4.8% per year. If the purchase price of the new cars $42,000, how
Usimov [2.4K]

The worth of the car after it is paid off 5 years later given the rate of exponential depreciation is $32,842.34.

<h3>What is the worth of the car?</h3>

When the car declines in value, it means that the car is depreciating. The formula that can be used to determine the value of the car with the depreciationn rate is:

FV = P (1 - r)^n

  • FV = Future value
  • P = Present value
  • R = rate of decline
  • N = number of years

$42,000 x (1 - 0.048)^5 = $32,842.34

To learn more about future value, please check: brainly.com/question/18760477

7 0
2 years ago
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