Your question: The turtle population on an island is declining at a rate of 1.4% per year. The population was 3800 in the year 2009. What is the best prediction of the population in the year 2014? Round to the nearest whole number.
Answer: 3541
Good luck mate, remember to always look through notes and so-forth.
Simplify 1/3(6x - 15) to 6x - 15/3
6x - 15/3 = 1/2(10x - 4)
Factor out the common term; 3
3(2x - 5)/3 = 1/2(10x - 4)
Cancel out 3
2x - 5 = 1/2(10x - 4)
Simplify 1/2(10x - 4) to 10x - 4/2
2x - 5 = 10x - 4/2
Factor out the common term; 2
2x - 5 = 2(5x - 2)/2
Cancel out 2
2x - 5 = 5x - 2
Subtract 2x from both sides
-5 = 5x - 2 - 2x
Simplify 5x - 2 - 2x to 3x - 2
-5 = 3x - 2
Add 2 to both sides
-5 + 2 = 3x
Simplify -5 + 2 to -3
-3 = 3x
Divide both sides by 3
- 1 = x
Switch sides
<u>x = -1</u>
Answer:

Step-by-step explanation:
We are told that the area of the bag can be represented by the function
and as the bag is raised up its height can be represented by the function
.
Since we know that we can find volume of cuboid by multiplying base area to its height. We are given area and height of bag as functions. Now we will find volume of the bag by multiplying these functions.

After using distributive property we will get,


Therefore, the collapsible bag can hold
grain.