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?(1 point)
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?(1 point)
To find out how much sugar Ms. Johnson used, we need to calculate 1/2 of 7/8 cups.
To do this, we multiply 7/8 by 1/2:
(7/8) * (1/2) = (7 * 1) / (8 * 2)
= 7/16
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 at $3.30 a gallon, we need to multiply the number of gallons by the price per gallon.
The calculation is as follows:
9.3 gallons * $3.30/gallon = $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 that play the guitar, we need to multiply the fractions representing the proportion of campers who play an instrument and the proportion of those who play the guitar.
One-third of the campers play an instrument, so we have:
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, 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 the books in the library that are how-to books on electronics
the portion of the books in the library that are how-to books on electronics
the portion of the how-to books that are about either carpentry or electronics
the portion of the how-to books that are about either carpentry or electronics
the portion of books in the library that are how-to books on carpentry
The answer 0.12 represents the portion of books in the library that are how-to books on electronics.
Sara discarded 1/10 of the apples she picked as defective. Of the apples remaining, 300 were made into cider. The rest were sold as fresh fruit. What fraction of the total apples picked were sold as fresh fruit?(1 point)
Responses
35
Start Fraction 3 over 5 End Fraction
not enough information
not enough information
45
Start Fraction 4 over 5 End Fraction
310
To find the fraction of the total apples picked that were sold as fresh fruit, we need to subtract the number of apples made into cider from the total number of apples remaining after discarding the defective ones.
Let's assume Sara picked 100 apples initially, for simplicity.
She discarded 1/10 of the apples, which is (1/10) * 100 = 10 apples. So, she had 100 - 10 = 90 apples remaining.
Out of these, 300 apples were made into cider, so there are 90 - 300 = -210 apples remaining.
Since there cannot be a negative number of apples remaining, it seems there is not enough information provided to calculate the fraction of apples that were sold as fresh fruit.
Therefore, the correct answer is "not enough information."
The town of Oak Manor measures 3.8 miles by 4.2 miles. Solve for the total area.(1 point)
Responses
15.96 mi2
15.96 mi squared
15.96 mi
15.96 mi
8 mi2
8 mi squared
16 mi2
To solve for the total area of Oak Manor, we need to multiply the length and width of the town.
The length is given as 3.8 miles, and the width is given as 4.2 miles.
To find the total area, we multiply 3.8 miles by 4.2 miles:
3.8 miles * 4.2 miles = 15.96 mi²
Therefore, the total area of Oak Manor is 15.96 square miles (mi²).
A diver searches for a sunken treasure that is 97.2 feet below the surface. What is the diver's elevation when he is 2/3 of the way down? (1 point)
Responses
−145.8 ft.
negative 145 point 8 ft.
−64.8 ft.
negative 64 point 8 ft.
−32.4 ft.
negative 32 point 4 ft.
−48.5 ft.
negative 48 point 5 ft.
To find the diver's elevation when he is 2/3 of the way down, we can calculate 2/3 of the total depth.
The total depth is given as 97.2 feet below the surface.
2/3 of 97.2 feet is (2/3) * 97.2 = 64.8 feet.
However, since the diver is going down, the elevation will be negative.
Therefore, the diver's elevation when he is 2/3 of the way down is -64.8 ft.
A basketball player is 6 /23 feet tall. His infant son is 1/4 as tall. How tall is his son?(1 point)
Responses
2212 ft.
2 Start Fraction 2 over 12 End Fraction ft.
223 ft.
2 Start Fraction 2 over 3 End Fraction ft.
112 ft.
1 Start Fraction 1 over 2 End Fraction ft.
123 ft.
1 Start Fraction 2 over 3 End Fraction ft.
To find the height of the basketball player's son, we need to multiply the basketball player's height by 1/4.
The basketball player's height is given as 6/23 feet.
1/4 of 6/23 feet is (1/4) * (6/23) = 6/92 feet.
Therefore, the son is 6/92 feet tall, which simplifies to 3/46 feet.
The correct answer is not provided in the options provided. However, the height of the son is approximately equal to 0.0652 feet or 0.7848 inches.
Which statement is correct?(1 point)
Responses
Division is neither commutative nor associative.
Division is neither commutative nor associative.
Division is associative but not commutative.
Division is associative but not commutative.
Division is both commutative and associative.
Division is both commutative and associative.
Division is commutative but not associative.
Division is commutative but not associative.