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3 years ago

A and b are positive integers and a-b=2 ... Evaluate the following:

Mathematics

1 answer:

zalisa [80]3 years ago

6 0

Answer:

1/9

Step-by-step explanation:

after simplifying you will get 3^b-a. if a-b =2, b-a=-2. 3^-2=1/9

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It will take Adam four hours to drive to Disney Park, and 2.5 times less time if driving 45 mph faster. What is the distance Ada

Butoxors [25]

<h2>Hello!</h2>

The answer is:

The distance that Adam should cover to get to the park is 108 miles.

To solve the problem, we need to write two equations with the given information about the times and his speed.

So,

For the first equation we have: Going to Disney Park

$time=4hours$

$Distance=v*4hours$

For the second equation we have: Going back from Disnery Park

$time=4hours-2.5hours=1.5hours$

$Speed=v+45mph$

$Distance=(v+45mph)*1.5hours$

Now, if He covered the same distance going and coming back, we have:

$v*4hours=(v+45mph)*1.5hours$

$v*4hours=v*1.5hours+45mph*1.5hours$

$v*4hours-v*1.5hours=45mph*1.5hours$

$v*2.5hours=67.5miles$

$v=\frac{67.5miles}{2.5hours}=27\frac{miles}{hour}=27mph$

We have that the speed when Adam was going to Disney Park was 27 mph.

Therefore, to calculate the distance, we need to substitute the obtained speed in any of the two first equations.

Then, substituting the speed into the first equation, we have:

$Distance=v*4hours\\Distance=27mph*4hours=108miles$

Hence, we have that the distance that Adam should cover to get to the park is 108 miles.

Havea nice day!

6 0

3 years ago

Which value of x satisfies the equation?<br> 1.6+x=4.8

finlep [7]

3.2=x______________________________

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3 years ago

Read 2 more answers

Make a ten or hundred to add mentally 198+132

Veseljchak [2.6K]

2000. Because if you add the 2 it will make 1200, 2+8 is 10 so you carry the 1, and 3+9 is 12 then you add the 1 you got from 10 and you have 13. then you add 1+1 and get 2 and add the 1 you got from 13 so there you have it.

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3 years ago

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otez555 [7]

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3 years ago

How to find the variable

sergejj [24]

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3 years ago