A basketball player is 6 2/3 feet tall. His infant son is 1/4 as tall. How tall is his son?(1 point)

To find the height of the basketball player's son, we need to multiply his height by 1/4.

1/4 * 6 2/3 = (1/4) * (20/3) = (20/12) = 5/3

The son is 5/3 feet tall.

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)

To find the fraction of students who were cast and got major roles, we need to divide the number of students who got major roles by the total number of students who were cast.

The number of students who were cast is 1/3 * 90 = 90/3 = 30.
The fraction of students who got major roles is 6/30 = 1/5.

As a decimal, 1/5 is equal to 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 Beginner's Trail. How many times as long as the Beginner’s Trail is the Advanced Trail? Write your answer as a decimal

If the Medium Trail is 1.2 times as long as the Beginner's Trail, and the Advanced Trail is 3.6 times as long as the Medium Trail, we can find how many times as long the Advanced Trail is compared to the Beginner's Trail by multiplying these two ratios.

1.2 * 3.6 = 4.32

Therefore, 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 of sugar she used (1/2) by the total amount of sugar in the canister (7/8).

(1/2) * (7/8) = (1 * 7) / (2 *8) = 7/16

Therefore, Ms. Johnson used 7/16 cups of sugar.

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 a gallon, we need to multiply the number of gallons by the price per gallon.

9.3 * $3.30 = $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)