Which of the following is one characteristic of all living things? (1 point)
Responses
moving from place to place
moving from place to place
sending cells to deliver messages in the body
sending cells to deliver messages in the body
using nerve cells to maintain temperature
using nerve cells to maintain temperature
maintaining homeostasis
maintaining homeostasis
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 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.
The total number of students who were cast is one-third of the total number of students who auditioned, which is (1/3) * 90 = 30.
Therefore, the fraction of those who were cast that got major roles is 6/30 = 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.
Let's denote the length of the Beginner's Trail as "x".
According to the given information, the Medium Trail is 1.2 times as long as the Beginner's Trail, so its length is 1.2x.
Similarly, the Advanced Trail is 3.6 times as long as the Medium Trail, so its length is 3.6 * (1.2x) = 4.32x.
Therefore, the Advanced Trail is 4.32 times as long as the Beginner's Trail.
There are 78
cups of sugar in a canister in the kitchen. Ms. Johnson used 12
of the sugar when she was preparing dessert for her daughter's birthday cake. How much sugar did she use?
Ms. Johnson used 12 cups of sugar.
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?
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 of sugar she used (1/2).
(7/8) * (1/2) = 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?
To find out how much Mr. Romanov paid for 9.3 gallons of gas, we need to multiply the number of gallons (9.3) by the price per gallon ($3.30).
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?
To find the fraction of campers at Rosewood Performing Arts Camp who play the guitar, we need to multiply the fraction of campers who play an instrument (1/3) by the fraction of instrument-playing campers who play the guitar (2/5).
(1/3) * (2/5) = 2/15
Therefore, 2/15 of the campers at Rosewood Performing Arts Camp play the guitar.
How-to books make up 0.3 of the books in the school library. Of these how-to books, 0.2 deal with carpentry and 0.4 deal with electronics.
0.3Ă—0.4=0.12
Interpret what the answer 0.12 represents in this equation above.
(1 point)
Responses
The portion of books in the library that are how-to books
The portion of books in the library that are how-to books
The portion of books in the library that are how-to books on electronics
The portion of books in the library that are how-to books on electronics
The portion of books in the library that are how-to books on carpentry
The portion of books in the library that are how-to books on carpentry
The portion of how-to books that are either carpentry or electronics