A machine can fill 5,400 bottles in 3 hours. How many bottles can it fill in 8 hours?(1 point)%0D%0A1800 bottles
To find out how many bottles the machine can fill in 8 hours, we can set up a proportion.
The machine fills 5,400 bottles in 3 hours:
5,400 bottles / 3 hours = x bottles / 8 hours
Cross multiplying, we get:
3 * x = 5,400 * 8
Simplifying, we find:
3x = 43,200
Dividing both sides by 3:
x = 14,400 bottles
Therefore, the machine can fill 14,400 bottles in 8 hours.
To find out how many bottles can be filled in 8 hours, we need to calculate the rate at which the machine fills bottles per hour and then multiply it by the number of hours.
First, we divide the total number of bottles filled (5,400) by the number of hours it takes (3):
5,400 bottles / 3 hours = 1,800 bottles per hour
Now, we multiply the bottles per hour rate by the number of hours (8):
1,800 bottles per hour * 8 hours = 14,400 bottles.
Therefore, the machine can fill 14,400 bottles in 8 hours.
To find out how many bottles the machine can fill in 8 hours, we can use a simple proportion.
We know that the machine can fill 5,400 bottles in 3 hours. This gives us a rate of 5,400 bottles/3 hours.
To find out how many bottles the machine can fill in 1 hour, we divide the total number of bottles by the total number of hours: 5,400 bottles / 3 hours = 1,800 bottles/hour.
Now, to find out how many bottles the machine can fill in 8 hours, we multiply the rate (1,800 bottles/hour) by the number of hours (8 hours): 1,800 bottles/hour * 8 hours = 14,400 bottles.
Therefore, the machine can fill 14,400 bottles in 8 hours.