10/5 = 1/x
cross multiply
10x = 5
x = 5/10
x = 1/2...u need 1/2 gallon per fish
Answer:
3/8
Step-by-step explanation:
6/8 - 3/8 = 3/8
You will get this answer if you type it in a calculator.
The cost function is
c = 0.000015x² - 0.03x + 35
where x = number of tires.
To find the value of x that minimizes cost, the derivative of c with respect to x should be zero. Therefore
0.000015*2x - 0.03 = 0
0.00003x = 0.03
x = 1000
Note:
The second derivative of c with respect to x is positive (= 0.00003), so the value for x will yield the minimum value.
The minimum cost is
Cmin = 0.000015*1000² - 0.03*1000 + 35
= 20
Answer:
Number of tires = 1000
Minimum cost = 20
Using the Fundamental Counting Theorem, it is found that there are 648 ways to paint the spinner.
<h3>What is the Fundamental Counting Theorem?</h3>
It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem, we have that the first sector can be painted in any of the 4 colors, the others until the 5th can be painted in 3 colors(not the adjacent), and the sixth in only 2, as it is adjacent to both the 5th and the 1st sectors, hence:
Hence the number of ways is given by:
N = 4 x 3 x 3 x 3 x 3 x 2 = 648.
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
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