Answer:
14
Step-by-step explanation:
Given that:
Each fish bowl to have pebbles of weight equivalent to = 
Total pounds of pebbles that Timothy can use = 
To find:
The greatest value of Total number of fish bowls that Timothy can fill ?
Solution:
First of all, we need to convert mixed fraction into a fractional number and then we also need to see division of two fractions.
Formula:

Now, the given mixed fraction can be converted to fractional number as:

Now, To find the total number of fish bowls that can be filled, we need to divide the total number of pounds with number of pounds of pebbles in each fish bowl.
So, the answer is:

<em>14</em> number of fish bowls can be filled.
Answer:
(2, - 9 )
Step-by-step explanation:
Since 2 is the output when - 9 is input to f(x)
Then reversing the procedure, that is the inverse gives an output of - 9 for an input of 2.
(- 9, 2) is a point on the graph of f(x), then
(2, - 9) is a point on the graph o the inverse function
(x)
Answer:
- boat: 16 mph
- current: 4 mph
Step-by-step explanation:
speed = distance / time
The rate downriver is (60 mi)/(3 h) = 20 mi/h.
The rate upriver is (60 mi)/(5 h) = 12 mi/h.
The rate of the boat in still water is the average of these:
(20 +12)/2 mi/h = 16 mi/h
The rate of the current is the difference between the boat speed and actual speed:
16 mi/h - 12 mi/h = 4 mi/h
Answer:
8022.
Step-by-step explanation:
Let x be the number of years after 2010.
We have been given a population of fish in a lake is 14000 in 2010. The population decreases 6% annually.
We can see that population of fish is the lake is decreasing exponentially as it is decreasing 6% annually.
Since we know that an exponential function is in form:
, where,
a = Initial value,
b = For decrease or decay b is in form (1-r) where r represents decay rate in decimal form.
Let us convert our given decay rate in decimal form.

Upon substituting our given values in exponential form of function we will get the population of fish in the lake after x years as:


Let us find x by subtracting 2010 from 2019.

Upon substituting x=9 in our function we will get,



Therefore, the population of fish in 2019 will be 8022.
The three consecutive integers are 26, 27, 28