He had to put $65 bc. he had to balance his account then added $25
9514 1404 393
Answer:
split the number into equal pieces
Step-by-step explanation:
Assuming "splitting any number" means identifying parts that have the number as their sum, the maximum product of the parts will be found where the parts all have equal values.
We have to assume that the number being split is positive and all of the parts are positive.
<h3>2 parts</h3>
If we divide number n into parts x and (n -x), their product is the quadratic function x(n -x). The graph of this function opens downward and has zeros at x=0 and x=n. The vertex (maximum product) is halfway between the zeros, at x = (0 + n)/2 = n/2.
<h3>3 parts</h3>
Similarly, we can look at how to divide a (positive) number into 3 parts that have the largest product. Let's assume that one part is x. Then the other two parts will have a maximum product when they are equal. Their values will be (n-x)/2, and their product will be ((n -x)/2)^2. Then the product of the three numbers is ...
p = x(x^2 -2nx +n^2)/4 = (x^3 -2nx^2 +xn^2)/4
This will be maximized where its derivative is zero:
p' = (1/4)(3x^2 -4nx +n^2) = 0
(3x -n)(x -n) = 0 . . . . . . . . . . . . . factor
x = n/3 or n
We know that x=n will give a minimum product (0), so the maximum product is obtained when x = n/3.
<h3>more parts</h3>
A similar development can prove by induction that the parts must all be equal.
Answer:
5.7 Round it and you will get that
Answer:
15 gallons
Step-by-step explanation:
if 6gallons = 192 miles
then x gallons 480 miles
x = (6*480)/192
x = 2880/192
x = 15 gallons
Answer:
"If you like loud music, then you like rock-n-roll"
Step-by-step explanation:
we know that
To form the converse of the conditional statement, interchange the hypothesis and the conclusion
In this problem we have
"If you like rock-n-roll, then you like loud music."
The hypothesis is "you like rock-n-roll"
The conclusion is "you like loud music"
interchange the hypothesis and the conclusion
The converse is
"If you like loud music, then you like rock-n-roll"
