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 when she was preparing dessert for her daughter's birthday cake.

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) by the fraction she used (1/2).

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

Therefore, Ms. Johnson used 7/16 cups of sugar when preparing dessert for her daughter's birthday cake.

How much did Mr. Romanov pay for 9.3 gallons of gas at $3.30 a gallon?

To calculate the total cost, we need to multiply the number of gallons by the cost per gallon.

9.3 gallons * $3.30 per 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 that play the guitar, we need to multiply the fractions representing the proportions.

One-third of the campers play an instrument.
Two-fifths of those campers play the guitar.

So, the fraction of campers that play the guitar is: (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.

0.3×0.4=0.12
Interpret what the answer 0.12 represents in this equation above.

The answer 0.12 represents the fraction or proportion of the total books in the school library that deal with both carpentry and electronics. This is found by multiplying the fraction of how-to books (0.3) by the fraction of those how-to books that deal with electronics (0.4).

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

Sara discarded 110 apples as defective, so the number of apples that were sold as fresh fruit is the remaining quantity after discarding the defective ones.

To find this, we subtract the number of discarded apples from the total number of apples picked:

200 apples - 110 discarded apples = 90 apples

So, 90 apples were sold as fresh fruit.

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

To find out how many apples were sold as fresh fruit, we need to subtract the number of apples discarded as defective from the total number of apples picked.

Sara discarded 1/10 of the 200 apples, which is (1/10) * 200 = 20 apples.

Therefore, the number of apples that were sold as fresh fruit is 200 - 20 = 180 apples.

The town of Oak Manor measures 3.8 miles by 4.2 miles. Solve for the total area.

To find the total area of Oak Manor, we need to multiply its length by its width.

Total area = Length * Width = 3.8 miles * 4.2 miles = 15.96 square miles

Therefore, the total area of Oak Manor is 15.96 square miles.

A basketball player is 6 2/3

feet tall. His infant son is 1/4
as tall. How tall is his son?

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

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

Therefore, the son is 5/3 feet tall.

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?

If the treasure is 97.2 feet below the surface, and the diver is 2/3 of the way down, we can find the diver's elevation by multiplying the depth of the treasure by 2/3 and subtracting it from the surface level.

Elevation = Surface level - (Depth of treasure * 2/3)
Elevation = 0 - (97.2 feet * 2/3)
Elevation = -97.2 feet * 2/3

To simplify the calculation, we can divide the numerator and denominator of 2/3 by their greatest common divisor, which is 1.

Elevation = -97.2 feet * 2/3
Elevation = -194.4 feet/3
Elevation = -64.8 feet

Therefore, the diver's elevation when he is 2/3 of the way down is -64.8 feet.

A diver descends at a rate of 8 m/min. Which expression CANNOT be used to find her depth after 5 minutes?(1 point)

Responses

−8+(−8)+(−8)+(−8)+(−8)
negative 8 plus negative 8 plus negative 8 plus negative 8 plus negative 8

−8−8−8−8−8
negative 8 minus 8 minus 8 minus 8 minus 8

−8(5)
negative 8 times 5

−8/5

The expression that CANNOT be used to find her depth after 5 minutes is -8/5 (negative 8 divided by 5).

in September, a sporting goods store offers a kayak for $378. Over the next four months, the store reduced the price of the kayak $15 each month. What is the price of the kayak at the end of four months?

The initial price of the kayak is $378. Over the next four months, the price is reduced by $15 each month.

To find the price of the kayak at the end of four months, we need to subtract $15 from the initial price for each month.

Price after 1 month: $378 - $15 = $363
Price after 2 months: $363 - $15 = $348
Price after 3 months: $348 - $15 = $333
Price after 4 months: $333 - $15 = $318

Therefore, the price of the kayak at the end of four months is $318.