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.(1 point)
One-third of the 90 students who auditioned were cast, so 1/3 * 90 = <<1/3*90=30>>30 students were cast.
Out of the 30 students who were cast, 6 got major roles, so 6/30 = <<6/30=0.2>>0.2 of those who were cast got major roles.
Answer: \boxed{0.2}.
Let's call the length of the Beginner's Trail "x".
The Medium Trail is 1.2 times as long as the Beginner's Trail, so its length is 1.2x.
The Advanced Trail is 3.6 times as long as the Medium Trail, so its length is 3.6 * (1.2x).
Simplifying this expression, the length of the Advanced Trail is 4.32x.
Therefore, the Advanced Trail is 4.32 times as long as the Beginner's Trail.
Answer: \boxed{4.32}.
To find out how much sugar Ms. Johnson used, we need to multiply 7/8 cups by 1/2.
Multiplying the numerators gives us 7 * 1 = 7.
Multiplying the denominators gives us 8 * 2 = 16.
So, Ms. Johnson used 7/16 cups of sugar.
Answer: \boxed{\frac{7}{16}}.
To find out how much Mr. Romanov paid for 9.3 gallons of gas at $3.30 a gallon, we need to multiply the number of gallons by the cost per gallon.
Multiplying 9.3 gallons by $3.30 gives us:
9.3 * $3.30 = $30.69
Therefore, Mr. Romanov paid $30.69 for 9.3 gallons of gas.
Answer: \boxed{\$30.69}.
To find out what fraction of the campers at Rosewood Performing Arts Camp play the guitar, we need to multiply the fractions representing the proportions of campers who play an instrument and those who play the guitar.
One-third of the campers play an instrument, so the fraction is 1/3.
Two-fifths of those campers play the guitar, so the fraction is 2/5.
Multiplying 1/3 by 2/5 gives us:
(1/3) * (2/5) = 2/15
Therefore, 2/15 of the campers at Rosewood Performing Arts Camp play the guitar.
Answer: \boxed{\frac{2}{15}}.
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.(1 point)
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? (1 point)
How much did Mr. Romanov pay for 9.3 gallons of gas at $3.30 a gallon? (1 point)
One-third of the campers at Rosewood Performing Arts Camp play an instrument. Two-fifths of those campers play the guitar. What fraction of the campers at Rosewood Performing Arts Camp play the guitar?(1 point)
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.
One-third of the 90 students who auditioned were cast, so 1/3 * 90 = <<1/3*90=30>>30 students were cast.
Out of the 30 students who were cast, 6 got major roles.
To find the fraction of those who were cast that got major roles, we divide the number of students with major roles by the total number of students cast: 6/30 = <<6/30=0.2>>0.2.
Therefore, 0.2 or 1/5 is the fraction of those who were cast that got major roles.
Answer: \boxed{0.2}.
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.(1 point)
One-third of the 90 students who auditioned were cast, so 1/3 * 90 = <<1/3*90=30>>30 students were cast.
Out of the 30 students who were cast, 6 got major roles.
To find the fraction of those who were cast that got major roles, we divide the number of students with major roles by the total number of students cast: 6/30 = <<6/30=0.2>>0.2.
Therefore, 0.2 or 1/5 is the fraction of those who were cast that got major roles.
Answer: \boxed{0.2}.
1. How-to books make up 0.3 of the books in the school library. Of these how-to books, 0.2 deal with carpentry and 0.4 deal with electronics.
To find out the fraction of books in the library that deal with carpentry, we need to multiply the fraction of how-to books by the fraction of how-to books that deal with carpentry.
How-to books make up 0.3 of the books in the library, so the fraction is 0.3.
Of the how-to books, 0.2 deal with carpentry, so the fraction is 0.2.
Multiplying the fractions 0.3 and 0.2 gives us:
0.3 * 0.2 = 0.06.
Therefore, 0.06 or 6/100 is the fraction of books in the library that deal with carpentry.
Answer: \boxed{0.06}.
How-to books make up 0.3 of the books in the school library. Of these how-to books, 0.2 deal with carpentry and 0.4 deal with electronics.
0.3×0.4=0.12
Interpret what the answer 0.12 represents in this equation above.
The answer 0.12 represents the fraction of books in the school library that are both how-to books and deal with electronics.
To find this fraction, we first determine that how-to books make up 0.3 of the books in the library. Then, of these how-to books, we determine that 0.4 deal with electronics.
Multiplying these two fractions, 0.3 and 0.4, gives us the fraction 0.12. Therefore, 0.12 represents the proportion of books in the library that are both how-to books and deal with electronics.