ninety students auditioned for the school play. one-third of those who auditioned were cast, 6 in major roles. what friction of those who where cast got major roles? write your answer as a decimal.(1 point)
One-third of the students who auditioned were cast, which means that 1/3 of 90 students were cast. 1/3 * 90 = 30 students were cast.
Out of the 30 students who were cast, 6 got major roles. So, 6/30 = 1/5 of those who were cast got major roles.
1/5 can also be written as 0.2.
Therefore, the fraction of those who were cast and got major roles is 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 beginners trail. how many times as long as the beginners trail is the advanced trail? write your answer as a decimal.(1 point)
Let's call the length of the beginner's trail as "x".
The medium trail is 1.2 times as long as the beginner's trail, so the length of the medium trail is 1.2 * x.
The advanced trail is 3.6 times as long as the medium trail, so the length of the advanced trail is 3.6 * (1.2 * x).
Simplifying this expression, we get the length of the advanced trail as 4.32 * x.
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 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 daughters 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 of sugar she used (1/2) by the total amount of sugar in the canister (7/8 cups).
Multiplying fractions involves multiplying the numerators and multiplying the denominators:
(1/2) * (7/8) = (1*7) / (2*8) = 7/16
Therefore, Ms. Johnson used 7/16 cups of sugar for the birthday cake.
how much did Mr. Romanov pay for 9.3 gallons of gas at $3.30 a gallon? (1 point)
To find out how much Mr. Romanov paid for 9.3 gallons of gas at $3.30 per gallon, we need to multiply the number of gallons by the price per gallon.
So, the total cost will be:
9.3 gallons * $3.30/gallon = $30.69
Therefore, Mr. Romanov paid $30.69 for 9.3 gallons of gas.
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)
One-third of the campers at Rosewood Performing Arts Camp play an instrument. So, if we let "x" represent the total number of campers, then the number of campers who play an instrument would be (1/3) * x.
Out of the campers who play an instrument, two-fifths play the guitar. So, the number of campers who play the guitar would be (2/5) * (1/3) * x.
Combining the fractions, we get (2/15) * x.
Therefore, the fraction of campers at Rosewood Performing Arts Camp who play the guitar is 2/15.