Answer:



Step-by-step explanation:
Given


maximum
minimum
Required
Solve graphically
First, we need to determine the inequalities of the system.
For number of coins, we have:
because the number of coins is not less than 20
For the worth of coins, we have:
because the worth of coins is not more than 0.80
So, we have the following equations:


Make y the subject in both cases:


Divide through by 0.01



The resulting inequalities are:


The two inequalities are plotted on the graph as shown in the attachment.
--- Blue
--- Green
Point A on the attachment are possible solutions
At A:

X/8 + 12 = 16
start by subtracting twelve from both sides
x/8 + 12 = 16
- 12 -12
You're left with x/8 = 4
Multiply both sides by 8
8× x/8 = 4 ×8
Your answer is x = 32
If you need to simplify, the answer is 2.
Answer:
Option (C)
Step-by-step explanation:
To determine the population we use the formula,

Where
= final population
= Initial population
r = percentage growth
Now we substitute these values in the formula,


r = 1.0496 - 1
r = 0.0496
r = 0.05
Therefore, percentage growth of the population of Stark county is 5%.
Option (C). will be the answer.
Step-by-step explanation:
a−(6a−(5a−8))
a-(6a-5a+8)
a-6a+5a-8
6a-6a-8
0-8
=-8
so the answer doesn't depend on a
<span>prime factors are prime numbers that can be multiplied to give the number.
to find the prime factors the number is divided by the prime numbers by which the number is divisible.
24 / 3 = 8
8 / 2 = 4
4 / 2 = 2
2 / 2 = 1
24 is divisible by 3 , 2 , 2 and 2.
therefore 24 written as a product of its prime factors is 24 = 2 x 2 x 2 x 3</span>