Answer:
<em>The least number of items to produce is 41</em>
Step-by-step explanation:
<u>Average Cost</u>
Given C(x) as the cost function to produce x items. The average cost is:
The cost function is:
And the average cost function is:
We are required to find the least number of items that can be produced so the average cost is less or equal to $21.
We set the inequality:
Multiplying by x:
Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.
Adding 20x:
Swapping sides and changing the sign:
Dividing by 41:
The least number of items to produce is 41
A = 15 a = athena, s = samantha, b = bonus points
s = b + a
s = b + 15
If you want to translate the phrase 30 added to a number that is decreased by 5 into a math expression, you can do it like this:
a number ... n
30 added ... + 30
decreased by 5 ... - 5
Now you just have to put this together: n + 30 - 5 or n - 5 + 30. So, the correct result is a.
Answer:
Step-by-step explanation:
We are required to reduce the expression below to its simplest form
<u>STEP 1: </u>Remove the brackets
Take note that the product of same sign(- and -) will give you the addition sign.
<u>STEP 2:</u> Find the Lowest Common Multiple of 8 and 6
Lowest Common Multiple of 8 and 6 is 24
<u>STEP 3:</u> Use the LCM to Simplify
Therefore:
