Answer: The factory bottles 73 bottles of juice per minute.
Step-by-step explanation: Given that a factory bottles 511 bottles of juice in 7 minutes.
We are to find the factory's unit rate of bottles per minute.
We will be using the UNITARY method to solve the given problem.
We have
in 7 minutes, number of bottles of juice bottle by the factory = 511.
So, in 1 minute, the number of bottles of juice bottle by the factory is given by
Thus, the factory bottles 73 bottles of juice per minute.
This seems like a right triangle problem.
So assuming 14 feet is the hypotenuse and 4 feet is a leg of the right triangle, we can use the pythagorean theorem () to solve for the height of the house, in which we shall name it x.
So, the equation is .
Solve for x:
16+x^{2}= 196
x^{2}= 196-16
x^{2}= 180
x = 6√5 feet
Hope this helps!
Answer:
Step-by-step explanation:
Given:
The level of a lake is falling linearly.
On Jan 1, the level is 452 inches
On Jan 21, the level is 378 inches.
Now, a linear function can be represented in the form:
Where, 'm' is the rate of change and 'b' is initial level
So, let Jan 1 corresponds to the initial level and thus b = 452 in
Now, the rate of change is given as the ratio of the change in level of lake to the number of days passed.
So, from Jan 1 to Jan 21, the days passed is 21.
Change in level = Level on Jan 21 - Level on Jan 1
Change in level = 378 in - 452 in = -74 in
Now, rate of change is given as:
Hence, the function to represent the lake level is
Where, 'x' is the number of days passed since Jan 1.