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Genrish500 [490]
3 years ago
5

In the first 120 miles over 240 mile journey a truck driver maintained an average speed of 50 mph what was his average featuring

the next 120 miles if the average speed of the entire trip with 60 mph
Mathematics
2 answers:
Keith_Richards [23]3 years ago
3 0
The correct answer is 70 MPH because when 50 and 70 are added together and divided by 2, you get 60.
julsineya [31]3 years ago
3 0
The average speed over the entire trip was 60 mph, which must equal the distance traveled (240 miles) times the elapsed time.  Dividing  60 mph into 240 miles gives us the elapsed time:  (240 miles) / (60 mph) = 4 hours total.

Next:  determine the length of time required to drive the first 120 miles at 50 mph.  It is (120 miles) / (50 mph), or 2.4 hours.

Next, find the length of time required to drive the second 120 miles.  It is 4 hours less 2.4 hours, or 1.6 hours.

Lastly, find the average speed over which the second 120 miles were covered in 1.6 hours:

average speed (2nd 120 miles) = (120 miles) / (1.6 hours) = 75 mph.
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Which equation is equivalent to 16 Superscript 2 p Baseline = 32 Superscript p 3?.
Mrac [35]

The equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,

2^{8p}=2^{5p+15}

<h3>What is equivalent equation?</h3>

Equivalent equation are the expression whose result is equal to the original expression, but the way of representation is different.

Given information-

The given equation in the problem is,

16^{2p}=32^{p+3}

Write both the equation in the form of same base number as,

(2^4)^{2p}=(2^5)^{p+3}

The power of the power of a number can be written as product of both the numbers. Thus,

(2)^{4\times2p}=(2)^{5\times(p+3)}\\2^{8P}=2^{5P+15}

This is the required equation.

Now if the base is the same at both side of the expression, then the powers can be compared. Thus,

8p=5p+15

Solve it further to find the value of p as,

8p-5p=15\\3p=15\\p=5

Thus the equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,

2^{8p}=2^{5p+15}

Learn more about the equivalent expression here;

brainly.com/question/2972832

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