To find out how much sugar Ms. Johnson used, we need to multiply the 7/8 cups of sugar by 1/2.
7/8 * 1/2 = (7 * 1) / (8 * 2) = 7/16 cups
Therefore, Ms. Johnson used 7/16 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?(1 point)
15 answers
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 campers who play the guitar, we need to multiply the fraction of campers who play an instrument (1/3) by the fraction of those 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.
(1/3) * (2/5) = 2/15
Therefore, 2/15 of the campers at Rosewood Performing Arts Camp play the guitar.
1. 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.
0.3×0.4=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 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
The portion of how-to books that are either carpentry or electronics
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
0.3×0.4=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 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
The portion of how-to books that are either carpentry or electronics
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 correct interpretation of the answer 0.12 in the equation is:
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.
Sara discarded 1/10 of the 200 apples she picked as defective. The rest were sold as fresh fruit. How many apples picked were sold as fresh fruit?(1 point)
Responses
180
190
20
9/10
Responses
180
190
20
9/10
To calculate the number of apples that were sold as fresh fruit, we need to find the quantity of apples that Sara discarded and subtract that from the total number of apples she picked.
She discarded 1/10 of the 200 apples, which is calculated as:
1/10 * 200 = 20 apples discarded
The number of apples sold as fresh fruit is:
200 - 20 = 180 apples
Therefore, 180 apples were sold as fresh fruit.
She discarded 1/10 of the 200 apples, which is calculated as:
1/10 * 200 = 20 apples discarded
The number of apples sold as fresh fruit is:
200 - 20 = 180 apples
Therefore, 180 apples were sold as fresh fruit.
3. The town of Oak Manor measures 3.8 miles by 4.2 miles. Solve for the total area.
Hint: Use the formula for the area of a rectangle = length x width.
(1 point)
Responses
8 mi2 8 mi2
14.96 mi214.96 mi2
15.96 mi2 15.96 mi2
16 mi2
Hint: Use the formula for the area of a rectangle = length x width.
(1 point)
Responses
8 mi2 8 mi2
14.96 mi214.96 mi2
15.96 mi2 15.96 mi2
16 mi2
To calculate the total area of Oak Manor, we need to multiply the length (3.8 miles) by the width (4.2 miles).
Area = length x width
Area = 3.8 miles * 4.2 miles
Area = 15.96 square miles
Therefore, the total area of Oak Manor is 15.96 mi^2.
Area = length x width
Area = 3.8 miles * 4.2 miles
Area = 15.96 square miles
Therefore, the total area of Oak Manor is 15.96 mi^2.
4. A basketball player is 623 feet tall. His infant son is 1/4 as tall. How tall is his son?(1 point)
Responses
Responses
To find out how tall the son is, we need to multiply the height of the basketball player (623 feet) by 1/4.
Height of the son = 623 feet * 1/4
Height of the son = 155.75 feet
Therefore, the son is 155.75 feet tall.
Height of the son = 623 feet * 1/4
Height of the son = 155.75 feet
Therefore, the son is 155.75 feet tall.
4. A basketball player is 6 2/3 feet tall. His infant son is 1/4 as tall. How tall is his son?(1 point)
Responses
Responses
To find out how tall the son is, we need to multiply the height of the basketball player (6 2/3 feet) by 1/4.
First, we need to convert 6 2/3 to an improper fraction: 6 2/3 = (6 * 3 + 2)/3 = 20/3
Now we can calculate the height of the son:
Height of the son = (20/3) * 1/4
To multiply fractions, we multiply the numerators and the denominators:
Height of the son = (20 * 1) / (3 * 4) = 20/12
We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4:
Height of the son = 5/3
Therefore, the son is 5/3 feet tall.
First, we need to convert 6 2/3 to an improper fraction: 6 2/3 = (6 * 3 + 2)/3 = 20/3
Now we can calculate the height of the son:
Height of the son = (20/3) * 1/4
To multiply fractions, we multiply the numerators and the denominators:
Height of the son = (20 * 1) / (3 * 4) = 20/12
We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4:
Height of the son = 5/3
Therefore, the son is 5/3 feet tall.
6. A diver descends at a rate of 8 m/min. Which expression CANNOT be used to find her depth after 5 minutes?
−8/5
−8−8−8−8−8
−8+(−8)+(−8)+(−8)+(−8)
−8(5)
−8/5
−8−8−8−8−8
−8+(−8)+(−8)+(−8)+(−8)
−8(5)
To find the diver's depth after 5 minutes, we can use the expression -8(5), which represents the rate of descent (-8 m/min) multiplied by the time in minutes (5).
So, the expression -8(5) can be used to find her depth after 5 minutes.
The expression -8/5, on the other hand, represents a negative rate of descent (-8 m/min) divided by the time in minutes (5). This doesn't represent the total depth after 5 minutes, so it cannot be used to find her depth after 5 minutes.
Therefore, the expression -8/5 cannot be used to find her depth after 5 minutes.
So, the expression -8(5) can be used to find her depth after 5 minutes.
The expression -8/5, on the other hand, represents a negative rate of descent (-8 m/min) divided by the time in minutes (5). This doesn't represent the total depth after 5 minutes, so it cannot be used to find her depth after 5 minutes.
Therefore, the expression -8/5 cannot be used to find her depth after 5 minutes.
25 answers