Answer:
20
Step-by-step explanation:
In class 1, they used 10 sweet potatoes.
If they need 30, in class 2, they used 20.
Answer:
12 dozens of eggs I believe
Step-by-step explanation:
12 eggs are in one dozen
<em>Divide</em><em> </em><em>1</em><em>4</em><em>4</em><em> </em><em>by</em><em> </em><em>1</em><em>2</em><em>. </em><em> </em><u>1</u><u>4</u><u>4</u><u>÷</u><u>1</u><u>2</u><u>=</u><u>1</u><u>2</u>
You can see how this works by thinking through what's going on.
In the first year the population declines by 3%. So the population at the end of the first year is the starting population (1200) minus the decline: 1200 minus 3% of 1200. 3% of 1200 is the same as .03 * 1200. So the population at the end of the first year is 1200 - .03 * 1200. That can be written as 1200 * (1 - .03), or 1200 * 0.97
What about the second year? The population starts at 1200 * 0.97. It declines by 3% again. But 3% of what??? The decline is based on the population at the beginning of the year, NOT based no the original population. So the decline in the second year is 0.03 * (1200 * 0.97). And just as in the first year, the population at the end of the second year is the population at the beginning of the second year minus the decline in the second year. So that's 1200 * 0.97 - 0.03 * (1200 * 0.97), which is equal to 1200 * 0.97 (1 - 0.03) = 1200 * 0.97 * 0.97 = 1200 * 0.972.
So there's a pattern. If you worked out the third year, you'd see that the population ends up as 1200 * 0.973, and it would keep going like that.
So the population after x years is 1200 * 0.97x
Answer:
Step-by-step explanation:
Given
Solving (a): Write as inverse function
Represent a(d) as y
Swap positions of d and y
Make y the subject
Replace y with a'(d)
Prove that a(d) and a'(d) are inverse functions
and
To do this, we prove that:
Solving for 
Substitute 
for d in
Solving for: 
Substitute 5d - 3 for d in
Add fractions
Hence:
When two lines intersect to form a 90 degree angle, these lines are called perpendicular lines.
