Step-by-step explanation:
Distance between Train 1 and Train 2=95 miles
Avg speed Train 1 = 45mph, avg speed Train 2=60mph
If both trains leave at the same time and travel toward each other but on parallel tracks, in how much time will their engines be opposite each other?
:
Let t = travel time (in hrs) until they are opposite each other
:
Like the hint said, when this happens the total distance traveled by both trains will be 95 mi.
:
write a distance equation from this fact: Dist = speed * time
;
Train 1 dist + train 2 dist = 95 mi
45t + 60t = 95
:
105t = 95
t = 95%2F105
t = .90476 hrs
or
.90476 * 60 = 54.3 min
:
:
Check solution by finding the total of the distances the two train travel
45(.90476) + 60(.90476) =
40.7 + 54.3 = 95 mi
Are you sure your question starts with Why?
I believe it should start with what, if so then Z is the 100's
For your info: N is the thousand's, Z the hundred's, Q tenth & R the unit
Functions whose graphs resemble sets of stairsteps are known as step functions.
The most famous of the step functions is the greatest integer function, which is
denoted by:
![f(x)=[x]](https://tex.z-dn.net/?f=f%28x%29%3D%5Bx%5D)
which graph is shown in the Figure below. As you can see from the graph:
![if \ x=-1.8 \ then \ f(-1.8)=[-1.8]=-2](https://tex.z-dn.net/?f=if%20%5C%20x%3D-1.8%20%5C%20then%20%5C%20f%28-1.8%29%3D%5B-1.8%5D%3D-2)
Therefore:
![f(-1.8)=-2[-1.8]+8=-2(-2)+8=\boxed{12}](https://tex.z-dn.net/?f=f%28-1.8%29%3D-2%5B-1.8%5D%2B8%3D-2%28-2%29%2B8%3D%5Cboxed%7B12%7D)
So the right answer is 12
Using it's concepts, we have that:
- The absolute change was of $15,153 million.
- The relative change was of 60.60%.
<h3>What is the absolute change of two values?</h3>
The absolute change between two values is given by the absolute value of the difference between two values.
In this problem, the values are of $40,156 million, which is the final value, and $25,003 million, which is the initial value, hence the absolute change is:
A = 40,156 - 25,003 = $15,153 million.
<h3>What is the relative change?</h3>
The relative change is the absolute change multiplied by 100% and divided by the initial value, hence:
(15,153/25,003) x 100% = 60.60%.
More can be learned about absolute and relative changes at brainly.com/question/19162774
#SPJ1
Answer:
25h+12
Step-by-step explanation:
Add the numbers :
21h-10h + <em>16</em><em>-</em><em>9</em><em> </em><em>+</em><em> </em>14h<em>+</em><em> </em><em>5</em>
21h-10h + <em>12</em><em> </em>+ 14h
Combine like terms:
25h + 12