Answer:
The speed of the first train is 45 mph and the speed of the second train is 75 mph
Step-by-step explanation:
Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).
The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles
The second train leaves at 3:00 pm, therefore at 6:00 pm, the time taken is 3 hours. Therefore the distance covered by the second train at 6:00 pm = (x + 30) mph * 3 hours = (3x + 90) miles
Since the second train overtakes the first at 6:00 pm, hence:
3x + 90 = 5x
2x = 90
x = 45
Therefore the speed of the first train is 45 mph and the speed of the second train is 75 mph (45 mph + 30 mph).
Answer:
Given that:
=2^(-4/5)
This means that 2 is the base and -4/5 is the exponent.
To change it in radical form:
- firstly the denominator would be written with radical sign
- Then the negative sign with 4 will be removed by inverting the base.
- Then the fraction will be simplified according to the exponent (power)
- All the steps are performed below:
![=\sqrt[5]{2^{-4} } \\=\sqrt[5]{1/2^4}\\ =\sqrt[5]{1/16}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B5%5D%7B2%5E%7B-4%7D%20%7D%20%5C%5C%3D%5Csqrt%5B5%5D%7B1%2F2%5E4%7D%5C%5C%20%3D%5Csqrt%5B5%5D%7B1%2F16%7D)
i hope it will help you!
-90
Step-by-step explanation:
2/3x+4=3/5x-2
2/3x – 3/5x = -2 – 4
LCM for 5 & 3 is 15 so we can use it on the two fractions;
10/15x – 9/15x = 1/15 x
1/15x = -6
x = - 6 * 15
x = -90
Learn More:
For more on dealing with fractions check out;
brainly.com/question/1878884
brainly.com/question/10879215
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15(j - 3) + 3j < 45
15j - 45 + 3j < 45
18j < 45 + 45
18j < 90
j < 90/18
j < 5
