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What is a ratio of two quantities that have different units?
It is a rate. For instance, if the quantities are 10 km and 2 hours, then the ratio (10 km)/(2 hours) = 10/2 km/hour = 5 km/h, which is a rate of speed.
What is a ratio between 2 different quantities?
A ratio between two (usually) different quantities is the rate. Usually used to describe something compared to a quantity of time.
Why is 2 and 8 called a constant rate?
In the context of mathematics, a constant rate refers to a consistent relationship between two quantities. When we say that 2 and 8 represent a constant rate, it means that for every increase of 2 units in one quantity, there is a corresponding consistent increase of 8 units in another. This relationship can be expressed as a ratio (2:8), which simplifies to 1:4, indicating that the rate remains the same regardless of the specific values being considered.
Which set of values describes two quantities that are in a proportional relationship?
Two quantities are in a proportional relationship if they maintain a constant ratio or rate. For example, if you have the values (2, 4) and (3, 6), the ratio of the first quantity to the second is the same for both pairs: 2:4 simplifies to 1:2, and 3:6 also simplifies to 1:2. Thus, any pair of values that can be expressed as k times the other (where k is a constant) indicates a proportional relationship.
Is a rate a ratio always or never true?
A rate is a type of ratio that expresses the relationship between two quantities with different units, such as speed (miles per hour) or price per item. While all rates are ratios, not all ratios are rates, as some ratios compare quantities of the same unit (like 4 apples to 2 apples). Therefore, it’s accurate to say that a rate is always a ratio, but the reverse is not true.
What is a ratio of two quantities that have different units?
It is a rate. For instance, if the quantities are 10 km and 2 hours, then the ratio (10 km)/(2 hours) = 10/2 km/hour = 5 km/h, which is a rate of speed.
What is a ratio between 2 different quantities?
A ratio between two (usually) different quantities is the rate. Usually used to describe something compared to a quantity of time.
Why is 2 and 8 called a constant rate?
In the context of mathematics, a constant rate refers to a consistent relationship between two quantities. When we say that 2 and 8 represent a constant rate, it means that for every increase of 2 units in one quantity, there is a corresponding consistent increase of 8 units in another. This relationship can be expressed as a ratio (2:8), which simplifies to 1:4, indicating that the rate remains the same regardless of the specific values being considered.
Which set of values describes two quantities that are in a proportional relationship?
Two quantities are in a proportional relationship if they maintain a constant ratio or rate. For example, if you have the values (2, 4) and (3, 6), the ratio of the first quantity to the second is the same for both pairs: 2:4 simplifies to 1:2, and 3:6 also simplifies to 1:2. Thus, any pair of values that can be expressed as k times the other (where k is a constant) indicates a proportional relationship.
Ratio that compares 2 quantities measured in different units?
ratio that compares 2 quantities measured in diiferent units
What does a unit rate look like?
A unit rate is a ratio that compares two quantities, with one of the quantities equaling 1. For example, if you drive 60 miles in 2 hours, the unit rate would be 30 miles per hour, indicating the distance traveled per each hour.
Is a rate a ratio always or never true?
A rate is a type of ratio that expresses the relationship between two quantities with different units, such as speed (miles per hour) or price per item. While all rates are ratios, not all ratios are rates, as some ratios compare quantities of the same unit (like 4 apples to 2 apples). Therefore, it’s accurate to say that a rate is always a ratio, but the reverse is not true.
Is there a silver ratio if there's a golden ratio?
yes, if the golden ratio is ((square root 5) +1)/2, then the silver ratio is (square root 2) +1. as the golden ratio is represented by phi, the silver ratio is represented by deltas. as two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity is equal to the ratio of the larger quantity to the smaller one, two quantities are in the silver ratio if the ratio between the sum of the smaller plus twice the larger of those quantities and the larger one is the same as the ratio between the larger one and the smaller.
SIMPLE explanation of the golden ratio?
Two quantities are in a Golden Ratio if the ratio of the bigger quantity to the smaller quantity is the same as the ratio of the sum of the two quantities to the bigger quantity. In algebraic form, if the two quantities are x and y, and x is the bigger of the two, then they are in the Golden Ratio if x/y = (x+y)/x and that ratio is the Golden Ratio. which equals (1 + √5)/2.
What is a non example of a constant of proportionality?
Well, isn't that a happy little question! A non-example of a constant of proportionality would be a relationship where the ratio between two quantities is not always the same. Imagine a situation where the more you paint, the less paint you use each time - that would not have a constant of proportionality. Just like in painting, it's all about finding balance and harmony in the relationships around us.
What number is the golden ratio?
The golden ratio, or golden mean, or phi, is about 1.618033989. The golden ratio is the ratio of two quantities such that the ratio of the sum to the larger is the same as the ratio of the larger to the smaller. If the two quantities are a and b, their ratio is golden if a > b and (a+b)/a = a/b. This ratio is known as phi, with a value of about 1.618033989. Exactly, the ratio is (1 + square root(5))/2.
What is a constant ratio in math?
A constant ratio is a number or term which is constantly used (either added/subtracted or multiplied/divided) throughout a geometric sequence. E.g. 4;-8;16;-32;64;... the constant ratio is ×(-2); multiply each term by -2 starting with 4
