Answer:
![V_{E} = -22.5 / 15 = 1.5 miles/minute\\V_{F} = 7.5 / 15 = 0.5 miles/minute](https://tex.z-dn.net/?f=V_%7BE%7D%20%3D%20-22.5%20%2F%2015%20%3D%201.5%20miles%2Fminute%5C%5CV_%7BF%7D%20%3D%207.5%20%2F%2015%20%3D%200.5%20miles%2Fminute)
Step-by-step explanation:
To answer this problem, we must bear in mind that the express train travels 3 times faster than the freight train.
If we call F the distance that the freight train travels and we call E at the distance that the express train travels, we must have the distance between them after 15 minutes it must be 30 miles.
So
![F + E = 30\\](https://tex.z-dn.net/?f=F%20%2B%20E%20%3D%2030%5C%5C)
We also know that:
Since the express train travels 3 times faster than the freight train.
So, like both equations, we have to:
![F + 3F = 30\\F = 30/4\\F = 7.5 miles\\](https://tex.z-dn.net/?f=F%20%2B%203F%20%3D%2030%5C%5CF%20%3D%2030%2F4%5C%5CF%20%3D%207.5%20miles%5C%5C)
Then
miles in the opposite direction.
This is the distance you traveled in 15 minutes.
Therefore, the speed of the express train (
) is the distance traveled between the time it did
![V_{E} = -22.5 / 15 = 1.5 miles/minute\\V_{F} = 7.5 / 15 = 0.5 miles/minute](https://tex.z-dn.net/?f=V_%7BE%7D%20%3D%20-22.5%20%2F%2015%20%3D%201.5%20miles%2Fminute%5C%5CV_%7BF%7D%20%3D%207.5%20%2F%2015%20%3D%200.5%20miles%2Fminute)
Answer:
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Step-by-step explanation:
140 is the solution of the inequality
Step-by-step explanation:
The inequalities are used just like equations.
Given
Total amount to be raised = $950
Price of one ticket = $2.50
The inequality that represents the situation is:
2.50x≥950
Dividing both sides by 2.50
![\frac{2.50x}{2.50} \geq \frac{950}{2.50}\\x\geq 140](https://tex.z-dn.net/?f=%5Cfrac%7B2.50x%7D%7B2.50%7D%20%5Cgeq%20%5Cfrac%7B950%7D%7B2.50%7D%5C%5Cx%5Cgeq%20140)
140 is the solution of the inequality
Keywords: Inequality, cost
Learn more about inequalities at:
#LearnwithBrainly
Answer:
3 or -3
Step-by-step explanation:
What number multiplied by itself will give you 9
1*1 =1
2*2 =4
3*3 =9
Also note that negative times negative will be positive so
-1*-1=1
That means -3*-3 = 9