A machine produces 584 units in 8 hours. How many units does it produce in 2 hours?
*
1 point
1,168 units
146 units
137 units
36.5 units
6. A model of a building has a scale of 15 feet to 2 inches. How many inches on the model represent 60 feet on the building?
*
1 point
450 inches
120 inches
8 inches
2 inches
To find out how many units the machine produces in 2 hours, we can use a proportion.
The ratio of units produced to hours is constant. So, we can set up a proportion:
584 units / 8 hours = x units / 2 hours
To solve for x, we cross multiply:
8x = 584 * 2
8x = 1168
x = 1168 / 8
x = 146
Therefore, the machine produces 146 units in 2 hours.
To find out how many inches on the model represent 60 feet on the building, we can use the given scale of 15 feet to 2 inches.
We can set up a proportion:
15 feet / 2 inches = 60 feet / x inches
To solve for x, we cross multiply:
15x = 2 * 60
15x = 120
x = 120 / 15
x = 8
Therefore, 8 inches on the model represent 60 feet on the building.