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Travka [436]
3 years ago
12

A conductor is mapping a trip and records the distance the train travels over certain time intervals. time (hours) distance (mil

es) 0.5 22.5 1 45 1.5 67.545 The train travels at a constant speed. What is its speed in miles per hour?
Mathematics
1 answer:
Alex73 [517]3 years ago
8 0

Given:

Table of values.

The train travels at a constant speed.

To find:

The speed of train in miles per hour.

Solution:

From the given table consider any two points, i.e., (0.5,22.5) and (1,45).

The train travels at a constant speed. It means, there is a linear relationship between time and distance.

The average rate of change (Slope) of a linear relationship is

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{45-22.5}{1-0.5}

m=\dfrac{22.5}{0.5}

m=\dfrac{225}{5}

m=45

So, average rate of change in distance with respect to time is 45.

Therefore, the speed of the train is 45 miles per hour.

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What number is 7 hundredths greater than 5.25​
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Subtract the following using horizontal method<br> i.)2x from-5x<br> ii.)-5a from 18a
Lena [83]

Answer:

\huge{ \boxed{ \text{ i. \:  \ - 7x}}}

\huge{ \boxed{ \text{ii. \:  23a}}}

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

☄ Question : Subtract the following using horizontal method :

  • i. 2x from -5x
  • -5a from -18a

✎ Step - by - step Explanation :

  • 2x from -5x

In horizontal method , terms are arranged in same row and put sign for subtraction and remove the brackets and then simplify.

\longrightarrow{ \sf{ - 5x - (2x)}}

\longrightarrow{ \sf{ - 5x - 2x}}

Like terms can be added or subtracted. Only coefficients of like terms can be added or subtracted.

\longrightarrow{  \boxed{\sf{ - 7x}}}

Likewise , Let's do next too:

  • -5a from 18 a

\dashrightarrow{ \sf{  18a - ( - 5a)}}

Remember : \sf{( - ) \times (  - ) = (  + )}

\dashrightarrow{ \sf{ 18a + 5a}}

\dashrightarrow{ \boxed{ \sf{ 23a}}}

And we're done!

Hope I helped!

Have a wonderful time ツ

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6 0
3 years ago
Read 2 more answers
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