how do i do 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)

11 answers

To find the fraction of students who were cast in major roles, we first need to know how many students were cast in total. One-third of the ninety students were cast, so the total number of students cast is (1/3) * 90 = 30.

Out of these 30 students, 6 were cast in major roles. Therefore, the fraction of students who were cast in major roles is 6/30.

To express this fraction as a decimal, we divide the numerator (6) by the denominator (30):

6 ÷ 30 = 0.2

So, the fraction of students who were cast in major roles is 0.2.
hi
Hello! How can I assist you today?
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)
To find how many times as long as the Beginner's Trail the Advanced Trail is, we need to find the relative lengths of each trail.

Let's start by assigning a variable to the length of the Beginner's Trail. Let's call it "B".

According to the information given, the Medium Trail is 1.2 times as long as the Beginner's Trail. Therefore, the length of the Medium Trail is 1.2 * B = 1.2B.

Next, the Advanced Trail is 3.6 times as long as the Medium Trail. So, the length of the Advanced Trail is 3.6 * 1.2B = 4.32B.

Therefore, the Advanced Trail is 4.32 times as long as the Beginner's Trail.

In decimal form, the Advanced Trail is 4.32 times as long as the Beginner's Trail.
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
To find out how much sugar Ms. Johnson used, we need to multiply the fraction representing the amount of sugar in the canister by the fraction representing the amount she used.

The fraction representing the amount of sugar in the canister is 7/8. The fraction representing the amount she used is 1/2.

To multiply fractions, we simply multiply the numerators together and the denominators together.

So, (7/8) * (1/2) = (7 * 1) / (8 * 2) = 7/16.

Therefore, Ms. Johnson used 7/16 cups of sugar when she was preparing the dessert for her daughter's birthday cake.
How much did Mr. Romanov pay for 9.3 gallons of gas at $3.30 a gallon?
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 price per gallon.

So, the total cost would be: 9.3 gallons * $3.30/gallon.

Multiplying these values, we get: $30.69.

Therefore, Mr. Romanov paid $30.69 for 9.3 gallons of gas at $3.30 a gallon.
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)
To find the fraction of campers at Rosewood Performing Arts Camp who play the guitar, we need to multiply the fractions representing the proportion of campers who play an instrument and the proportion of those campers who play the guitar.

Given that one-third of the campers play an instrument, the fraction representing those campers is 1/3.

Out of those campers, two-fifths play the guitar. The fraction representing those campers is 2/5.

To find the fraction of campers who play the guitar, we multiply 1/3 by 2/5:

(1/3) * (2/5) = 2/15.

Therefore, 2/15 of the campers at Rosewood Performing Arts Camp play the guitar.