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Arisa [49]
3 years ago
5

Susan drove at an average speed of 30 miles per hour for the first 30 miles of a trip and then at an average speed of 60 miles p

er hour for the remaining 30 miles of the trip. If she made no stops during the trip, what was Susan's average speed, in miles per hour, for the entire trip?a. 35
b. 40
c. 45
d. 50
e. 55
Mathematics
1 answer:
maxonik [38]3 years ago
7 0

Answer: option B is the correct answer.

Step-by-step explanation:

Susan drove at an average speed of 30 miles per hour for the first 30 miles of a trip.

Time = distance/speed

This means that time spent by Susan in travelling the first 30 miles would be

Time = 30/30 = 1 hour

He travelled at an average speed of 60 miles per hour for the remaining 30 miles of the trip.

Time = 30/60 = 0.5 hours

Total distance travelled is 30 + 30 = 60 miles.

Total time spent = 1 + 0.5 = 1.5 hours

Speed = distance/time

Average speed = 60/1.5 = 40 miles per hour.

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0.8h=112 solve for h
madreJ [45]

Answer:

h = 140

Step-by-step explanation:

To solve for h, we will have to get the equation into the form h = _. That would be our answer.

0.8h = 112

Divide 0.8 from both sides to get rid of the coefficient of 0.8 on the left side.

h = 112/0.8

Change 112/0.8 to 1120/8 on the right side. This will make the fraction easier to simplify.

h = 1120/8

Simplify the fraction on the right side.

h = 140/1

140/2 equals 140.

h = 140

I hope you find this helpful. :)

8 0
3 years ago
These tables represent an exponential function. Find the average rate of change for the interval from x=9 to x=10
QveST [7]

<u>ANSWER</u>

B. 39,366

<u>EXPLANATION</u>

The y-values of the exponential function has the following pattern

{3}^{0}  = 1

{3}^{1}  = 3

{3}^{2}  = 9

{3}^{3}  = 27

:

:

{3}^{x}  = y

Or

f(x) =  {3}^{x}

To find the average rate of change from x=9 to x=10, we simply find the slope of the secant line joining (9,f(9)) and (10,f(10))

This implies that,

slope =  \frac{f(10) - f(9)}{10 - 9}

slope =  \frac{  {3}^{10} -  {3}^{9} }{1}

slope =  \frac{59049-19683}{1}  = 39366

Therefore the average rate of change from x=9 to x=10 is 39366.

The correct answer is B.

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Step-by-step explanation:

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