To find the common denominator first find a number that goes into all the denominators;
the LCM of 5, 3, 8 = 120
so your new fractions with the same denominator are;
24/120, 80/120, 75/120
Step-by-step explanation:
<DBA=180 since it is a straight line
<HBA=73
mHG=73
By looking at this scatter plot you can see that 2 people bowled above their average, 1 person bowled the same number for their average and their highest score (this person bowled 200 as their highest score as well as their average), and the biggest difference between someones high score and their average is one person has 200 for their bowling average, but only 175 for their high score. Everyone else's high scores and averages are about the same.
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.
3x+45 most u can simplify it
