Answer:
commutative property of addition.
Step-by-step explanation:
In mathematics, a binary operation is commutative if changing the order of the operands does not change the result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it.
Answer:
y : x: = 5 : 4
Step-by-step explanation:
x to y = 4 to 5
Rewrite;
x:y = 4:5
Remember, a ratio is another way of representing a fraction, hence one can do the same operations that one could do with a fraction. Therefore, one can take the cross products of a ratio;
x : y= 4 : 5
5x = 4y
Inverse operations;
5x = 4y
x = y
Now substitute this into the equation y:x
y : y
Rewrite as a fraction;
Simplify;
Rewrite as a ratio;
y : x = 5 : 4
sixty one dollars and twenty cents
Answer:
1/4x^2 - 1
Step-by-step explanation:
let x be the unknown number.
one less(-1) than one fourth the square of a number(1/4 * x^2) = 1/4x^2 - 1