To identify equivalent fractions we must check them by performing the operation (division) or cross products, if the result is the same they are equivalent fractions.
<h3>What are equivalent fractions?</h3>
Equivalent fractions are a mathematical term to refer to those fractions that represent the same quantity even though the numerator and denominator are different.
<h3>How do we know if two fractions are equivalent?</h3>
Two fractions are equivalent if the products of the numerator of one and the denominator of the other are equal, that is, cross products.
Let's see an example:
Let us check if 
and 
are equivalent.
To do this, we multiply the numerator of one of the fractions by the denominator of the other, as shown below:
Since the result is the same, we can say that the fractions are equivalent.
Note: This question is incomplete because there is some information missing. However I can answer it based on my general prior knowledge.
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Answer:
9:10
Step-by-step explanation:
Find GCF then divide
Answer:
In diffuse reflection, reflected rays move in different directions.
Step-by-step explanation:
Reflection refers to the bouncing off of light from a surface. Reflection can be regular or diffuse.
Regular reflection occurs when light bounces off a well polished surface while diffuse reflection occurs when light bounces off a rough surface.
During diffuse reflection, light is reflected in different directions.
The capacity of the tank in gallons is 24 gallons.
<h3>What is an Equation ?</h3>
An equation is a mathematical statement formed when two algebraic expressions are equated by an equal sign.
It is given in the question that
When four gallons are added to a tank that is one-third full
the tank is then one-half full.
Let the capacity of the tank is x gallons
The equation can be formed for the capacity of the tank as
(1/3)x +4 = (1/2)x
(1/3)x -(1/2)x = -4
(1/6)x = 4
x = 24 gallons.
Therefore the capacity of the tank in gallons is 24 gallons.
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Answer:
(5, 4)
Step-by-step explanation:
The equation can be written in vertex form by adding and subtracting 25:
y = -(x^2 -10x +25) -21 +25
y = -(x -5)^2 +4
Then the vertex can be identified as (5, 4).
