A freight train is traveling at an average rate of 45 miles per hour. Which equation represents the situation?

Let h represent the hours traveled
Let m represent the miles traveled

A. M=45h
B. h=45m
C. m=45+h
D. h=45-m

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A

Step-by-step explanation:

We need to use the distance-rate-time formula here: , where d is distance, r is rate, and t is time.

Here, the distance traveled is actually m, while the rate is 45 and the time is h. So, just plug these in:

Thus, the answer is A.

Hope this helps!

A

Step-by-step explanation:

Speed = distance/time

45 = M/h

M = 45h

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

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step-by-step explanation: