In 3–5 sentences, describe the similarities and differences between scientific laws and scientific theories.(4 points)
Scientific laws are concise and mathematical descriptions of observable phenomena that have been proven true through repeated experimental evidence. They describe what happens or how things work. On the other hand, scientific theories are comprehensive explanations that integrate multiple observations and phenomena. They provide a framework for understanding the laws and principles of nature, and are often subject to revisions and improvements as new evidence emerges. Both laws and theories are based on empirical evidence and are fundamental to the scientific understanding of the natural world, but theories are broader and more complex than laws.
Ninety students auditioned for the school play. One-third of those who auditioned were cast, 6 in major roles. What fraction of those who were cast got major roles? Write your answer as a decimal.
To find the fraction of those who were cast got major roles, we need to divide the number of students who got major roles by the total number of students who were cast.
Since 1/3 of the 90 students who auditioned were cast, there were 90 * (1/3) = 30 students who were cast.
Out of these 30 students, 6 got major roles.
So, the fraction of those who were cast got major roles is 6/30, which simplifies to 1/5.
As a decimal, 1/5 is equal to 0.2.
At Point Pleasant Park, the Advanced Trail is 3.6 times as long as the Medium Trail, and the Medium Trail is 1.2 times as long as the Beginner's Trail. How many times as long as the Beginner’s Trail is the Advanced Trail? Write your answer as a decimal
To find out how many times as long the Advanced Trail is compared to the Beginner's Trail, we need to multiply the different lengths together.
The Medium Trail is 1.2 times as long as the Beginner's Trail.
The Advanced Trail is 3.6 times as long as the Medium Trail, which is equivalent to 3.6 * 1.2 = 4.32 times as long as the Beginner's Trail.
Therefore, the Advanced Trail is 4.32 times as long as the Beginner's Trail.
As a decimal, this is written as 4.32.
There are 78
cups of sugar in a canister in the kitchen. Ms. Johnson used 12
of the sugar when she was preparing dessert for her daughter's birthday cake. How much sugar did she use?
Ms. Johnson used 12 cups of sugar when she was preparing dessert for her daughter's birthday cake.
There are 7\8
cups of sugar in a canister in the kitchen. Ms. Johnson used 1\2
of the sugar when she was preparing dessert for her daughter's birthday cake. How much sugar did she use?
To find out how much sugar Ms. Johnson used for the dessert, we need to calculate 1/2 of 7/8 cups.
To do this, we multiply the fractions:
(1/2) * (7/8) = 7/16
Therefore, Ms. Johnson used 7/16 cups of sugar for the dessert.