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)
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To find the fraction of those who were cast that got major roles, we divide the number of students with major roles (6) by the number of students who were cast (1/3 of 90 students).
1/3 of 90 students is (1/3) * 90 = 30 students.
Therefore, the fraction of those who were cast that got major roles is 6/30.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common factor, which is 6.
6/30 = (6/6) / (30/6) = 1/5.
Therefore, the fraction of those who were cast that got major roles is 1/5, which is equal to 0.2 as a decimal. Answer: 0.2.
Let's denote the length of the Beginner's Trail as B.
The Medium Trail is 1.2 times as long as the Beginner's Trail, so its length is 1.2B.
The Advanced Trail is 3.6 times as long as the Medium Trail, so its length is 3.6(1.2B) = 4.32B.
Therefore, the Advanced Trail is 4.32 times as long as the Beginner's Trail.
Since 4.32 is already a decimal, our final answer is 4.32. Answer: 4.32.
To find out how much sugar Ms. Johnson used, we need to multiply the amount of sugar in the canister (7/8 cups) by the fraction she used (1/2).
Multiplying fractions is done by multiplying the numerators together and the denominators together.
(7/8) * (1/2) = (7*1)/(8*2) = 7/16
Therefore, Ms. Johnson used 7/16 cups of sugar. Answer: 7/16 cups.
To find out how much Mr. Romanov paid for the gas, we need to multiply the number of gallons (9.3) by the price per gallon ($3.30).
Multiplying numbers is done by multiplying the values together.
9.3 * $3.30 = $30.69
Therefore, Mr. Romanov paid $30.69 for 9.3 gallons of gas. Answer: $30.69.
To find the fraction of campers that play the guitar, we need to multiply the fraction of campers that play an instrument (1/3) by the fraction of instrument-playing campers that play the guitar (2/5).
Multiplying fractions is done by multiplying the numerators together and the denominators together.
(1/3) * (2/5) = (1*2)/(3*5) = 2/15
Therefore, the fraction of campers at Rosewood Performing Arts Camp that play the guitar is 2/15. Answer: 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)
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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)
To find the fraction of those who were cast that got major roles, we need to divide the number of students who got major roles by the total number of students who were cast.
First, let's find the total number of students who were cast. We are told that one-third of those who auditioned were cast, so we need to calculate one-third of the total number of students who auditioned.
To find one-third of a number, you can divide that number by 3. In this case, there were 90 students who auditioned, so we can calculate one-third of 90 by dividing 90 by 3:
90 ÷ 3 = 30
So, 30 students were cast for the school play.
Next, we need to find the number of students who got major roles, which is given as 6.
Finally, we can find the fraction of those who were cast that got major roles by dividing the number of students with major roles by the total number of students who were cast:
6 ÷ 30 = 0.2
Therefore, the fraction of those who were cast that got major roles is 0.2.