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 students who auditioned were cast, meaning that 1/3 * 90 = <<1/3*90=30>>30 students were cast.
Of those who were cast, 6 received major roles, so the fraction of those who were cast that got major roles is 6/30 = 1/5.
As a decimal, this fraction is equal to 1/5 = 0.2. Answer: \boxed{0.2}.
One-third of the campers at Rosewood Performing Arts Camp play an instrument, so if we let the total number of campers be represented by the fraction 1, then the fraction of campers that play an instrument is 1/3.
Of those campers that play an instrument, two-fifths play the guitar. Hence, we need to multiply 1/3 by 2/5 to find the fraction of campers that play the guitar.
(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}}.
Apologies for the confusion. Let's correct the solution.
If we let the length of the Beginner's Trail be 1 unit, then the Medium Trail is 1.2 times as long, or 1.2 units long.
And since the Advanced Trail is 3.6 times as long as the Medium Trail, it is 3.6 * 1.2 = 4.32 units long.
Therefore, the Advanced Trail is 4.32 times as long as the Beginner's Trail.
Written as a decimal, the answer is \boxed{4.32}.
To find out how much sugar Ms. Johnson used, we need to multiply the fraction of sugar used (1/2) by the total amount of sugar in the canister (7/8).
The expression for the amount of sugar used is: (1/2) * (7/8).
To multiply fractions, we multiply the numerators (top numbers) together to get the new numerator and the denominators (bottom numbers) to get the new denominator.
So, (1/2) * (7/8) = (1 * 7) / (2 * 8) = 7/16.
Therefore, Ms. Johnson used 7/16 of a cup of sugar. Answer: \boxed{\frac{7}{16}}.
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.
wrong
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?
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 the gas, we need to multiply the number of gallons purchased (9.3) by the price per gallon ($3.30).
The expression for the total cost of the gas is: 9.3 * $3.30.
To multiply decimals, we multiply the numbers as if they were whole numbers and then adjust the decimal point in the final answer.
So, 9.3 * $3.30 = $30.69 (rounded to the nearest cent).
Therefore, Mr. Romanov paid $30.69 for 9.3 gallons of gas. Answer: $30.69.