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 determine how much sugar Ms. Johnson used, we need to calculate 1/2 * 7/8 = 7/16 of a cup of sugar. Answer: \boxed{\frac{7}{16}} \text{ cup}.
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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.
9.3 gallons * $3.30/gallon = $30.69.
Therefore, Mr. Romanov paid $30.69.
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 at Rosewood Performing Arts Camp that play the guitar, we first need to find the fraction of campers that play an instrument. According to the given information, one-third of the campers play an instrument.
Then, we need to find two-fifths of that fraction, since two-fifths of those campers play the guitar.
So, to calculate the fraction of campers that play the guitar, we multiply one-third by two-fifths:
(1/3) * (2/5) = 2/15.
Therefore, 2/15 of the campers at Rosewood Performing Arts Camp play the guitar.
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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
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
The correct interpretation of the answer 0.12 in the equation above is:
The portion of how-to books that are either carpentry or electronics.
2. Sara discarded 110
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
20
20
190
190
180
180
910
To find out how many apples were sold as fresh fruit, we need to subtract the number of discarded apples from the total number of apples picked.
Total apples picked - Discarded apples = Apples sold as fresh fruit
200 - 110 = 90
Therefore, 90 apples were sold as fresh fruit.
The correct answer is 90.
2. 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
20
20
190
190
180
180
9/10
To find out how many apples were sold as fresh fruit, we need to calculate the fraction of apples that were not discarded. Since Sara discarded 1/10 of the apples, that means 9/10 of the apples were not discarded.
To find the number of apples sold as fresh fruit, we multiply 9/10 by the total number of apples picked:
(9/10) * 200 = 180
Therefore, 180 apples were sold as fresh fruit.
The correct answer is 180.
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
16 mi^2
16 mi^2
8 mi^2
8 mi^2
15.96 mi^2
15.96 mi^2
14.96 mi^2
To find the total area of Oak Manor, we can use the formula for the area of a rectangle, which is length multiplied by width.
The length of Oak Manor is 3.8 miles and the width is 4.2 miles.
Area = Length x Width = 3.8 miles x 4.2 miles = 15.96 square miles.
Therefore, the total area of Oak Manor is 15.96 square miles.
The correct answer is 15.96 mi^2.
4. A basketball player is 6 2/3
feet tall. His infant son is 14
as tall. How tall is his son?(1 point)
Responses
2 and 1 sixth ft
2 and 2 thirds ft
1 and 1 half ft
1 and 2 thirds ft
To find out how tall the basketball player's son is, we need to divide the player's height by 14.
The basketball player is 6 2/3 feet tall.
To divide this height by 14, we can write 14 as a fraction with a denominator of 3, which is the same as 14/1.
6 2/3 ÷ 14/1 = (20/3) ÷ (14/1)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(20/3) * (1/14) = 20/42
We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:
20/42 = (20 ÷ 2) / (42 ÷ 2) = 10/21
Therefore, the son is 10/21 of the basketball player's height.
The correct answer is 2 and 1/3 ft.
5. A diver searches for a sunken treasure that is 97.2 feet below the surface. What is the diver’s elevation when he is 23
of the way down?(1 point)
Responses
-32.4 ft
-32.4 ft
-64.8 ft
-64.8 ft
-145.8 ft
-145.8 ft
-48.5 ft
To determine the diver's elevation when he is 23% of the way down, we need to find 23% of 97.2 feet.
To calculate this, we multiply 23% (or 0.23) by 97.2 feet:
0.23 * 97.2 = 22.356 feet
Therefore, the diver's elevation when he is 23% of the way down is -22.356 feet.
The correct answer is -22.356 ft.
bot
Bot GPT 3.5
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?
9/10
20
180
190