Answer:
- 3 hours
- 1 hour 45 minutes
- 300 miles
Step-by-step explanation:
1. The trains are moving toward each other at a total speed of 50 +20 = 70 miles per hour. Together, they cover the 210 mile distance in ...
time = distance/speed
time = 210 mi/(70 mi/h) = 3 h
The trains collide after 3 hours.
__
2. The fly is closing with the freight train at a speed of 100 +20 = 120 miles per hour. Together, the fly and the train cover the initial 210 mile distance in ...
(210 mi)/(120 mi/h) = 7/4 h = 1 hour 45 minutes
The fly first meets the oncoming freight train after 1 h 45 min.
__
3. The fly is flying for all three hours before the trains collide, so, at 100 miles per hour, will fly 300 miles.
Answer:
Step-by-step explanation:
Mathematically, we can calculate the slope
using the formula below;
m = (y2-y1)/(x2-x1)
Where (x1.y1) = (6,-8)
(x2, y2) = (3,-4)
So inputing these values into the formula, we have
m = (-4-(-8))/(3-6)
m = (-4+8)/-3 = 4/-3 = -4/3
Now, we want to write the equation of the line;
y= -4/3x + c
to get the value of c, we simply need to use any of the points. We use any of the two points by substituting the values of x and y at that point.
Let’s use (3,-4)
That would give ;
-4 = -4/3(3) + c
-4 = -4 + c
This means c = 0
Thus the equation of the line is y = -4/3x
Now to find out if the point (-3,4) is on the line
We only need to substitute the values of x and y here and see ;
Thus;
4 = -4/3(-3)
Sine 4 = 4
We can conclude that the point is on the line in question
Answer: 0.09 hours
Step-by-step explanation:
You are owed $1.76 in overtime pay.
The hourly rate for overtime is $19.50 per hour.
To find the number of hours owed, you need to divide the amount owed by the amount owed per hour.
The number of hours you are owed is therefore:
= Amount owed / Amount owed per hour
= 1.76 / 19.50
= 0.09 hours
Answer:
Mike now has 1 carrot
Step-by-step explanation:
Mike has 7 carrots and the rabbit ate 6 so 7-6=1 :)
Calculate circumference. You can do the math mentally with area & perimeter,but circumference is much more complex