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:
- equation: y = x+3
- inequality: y < x+3
Step-by-step explanation:
The slope of the line is 1 unit of rise for 1 unit of run, so ...
m = rise/run = 1/1 = 1
The y-intercept is 3 grid lines above the x-axis, so is (0, 3).
Then the equation of the line is ...
y = 1x +3
The inequality has that line as a boundary, but the y-values on the line are not part of the solution space. Only y-values below the line (less than those on the line) are in the solution. The inequality is ...
y < x +3
Answer:
an = 9(⅔)^(n-1)
Step-by-step explanation:
The formula for explicit is: An = a1(r)^(n-1)
Step-by-step explanation:
To add integers on the number line, you move forward, and you face right (the positive direction) when you add a positive number. As with positive numbers, to add negative integers on the number line, you move forward, but you face left (the negative direction) when you add a negative number.
Answer:
4
Step-by-step explanation:
20×25 = 500
20 guest
25 dollars per guest
75s+200= 500
75s = 300
S = 4
They can afford to buy 4 cases of snacks and stay within their budget.
