This drawing shows part of a centimeter ruler. The drawing has been enlarged. The small marks indicate millimeters. The large marks indicate centimeters.
How long is the paper clip?
2.3 mm
2.3 cm
1.3 cm
2 cm
Neil measures the lengths of some objects in both yards and feet.
There is a proportional relationship between the number of yards, x, and the number of feet, y.
x (yards) y (feet)
1 3
2 6
3 9
6 18
What is the constant of proportionality? Write your answer as a whole number or decimal.
The constant of proportionality(k) between a yard and a foot is 0.33.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
The variable feet and yards are in direct proportion.
Let,
yard = k(feet).
1 = 3k
k = 1/3 = 0.33.
learn more about proportion here :
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Find the prime factorization of 196. Use a method of your choice. List your final answer
using exponents.