Answer A) 2 7⁄24 gallons

Answer A) 9 candles

Answer C) 5 19⁄20 miles

Answer B) $53.82.

Explanation: Bella has 6.3 kilograms of berries, and she packs 0.35 kilograms into each container. To find the total number of containers, divide the total kilograms by the kilograms per container: 6.3 ÷ 0.35 = 18. Each container is sold for $2.99, so the total money earned is 18 containers × $2.99/container = $53.82.

Therefore the correct answer is B. $53.82.

Answer B) 1⁄20.

Explanation: The bulletin board is divided into 5 equal sections, and each classmate is decorating 1 section. So, each classmate is decorating 1 out of the total 5 sections, which is 1⁄5. To find the fraction of the entire bulletin board that each classmate decorates, you divide 1⁄5 by the number of classmates (4): 1⁄5 ÷ 4 = 1⁄20.

Therefore the correct answer is B. 1⁄20

Answer A) 262 1⁄2

Answer D) 203.042

Answer D) The product must be a value greater than the second number.

Explanation: When you multiply a mixed number between 2 and 10 (which can include decimals) by a whole number between 1 and 5, the result will be a value greater than the second number. The product represents the result of multiplying the first and second numbers, and it will generally be larger than the second number.

Therefore, the correct answer is D. The product must be a value greater than the second number.

Answer B) 11/60

To find the fraction of books that were mysteries, we need to subtract the fractions of poetry and biographies from 1 (since the remaining books are mysteries).

Given:

Poetry fraction = 5/12
Biographies fraction = 2/5

Let x be the fraction of mysteries.​

x = 1 − Poetry fraction−Biographies fraction

Now, substitute the values:

x = 1 − 5/12 − 2/5

To add or subtract fractions, we need a common denominator. The common denominator for 12 and 5 is 60.

x = 60/60 − 25/60 − 24/60

Now, subtract the numerators:

x = 60 − 25 − 24/60
x = 11/60

Therefore, the correct answer is B. 11/60

This means 11/60​ of the books in the shipment were mysteries.

Answer D) 17,160

Answer A) 175

Min has 3.25 meters of ribbon, and each name tag requires 5 centimeters of ribbon. To find out how many more centimeters of ribbon Min still needs, we can use the following calculation:

Total centimeters of ribbon needed = Number of name tags × Ribbon per name tag

Total centimeters of ribbon needed = 100 × 5
Total centimeters of ribbon needed = 500

Now, subtract the amount of ribbon Min already has:

More centimeters needed = Total centimeters needed − Ribbon Min already has

More centimeters needed = 500 − (3.25 × 100)
More centimeters needed = 500 − 325
More centimeters needed = 175

Therefore, the correct answer is A. 175

This means Min still needs 175 more centimeters of ribbon to make 100 name tags.

Answer B) $10.31

To find the total cost of the three items Christopher wants to buy, you need to add the prices of the notebook, glue sticks, and pens.

Notebook cost: $2.15
Glue sticks cost: $5.08
Pens cost: $3.08

Now, add the costs:
$2.15 + $5.08 + $3.08 = $10.31

Therefore, the correct answer is B. $10.31

Answer B) 5

A quart is equivalent to 4 cups of water. If Nellie has a watering can that contains 20 cups of water, then the number of quarts can be found by dividing the total cups by the number of cups in a quart:

Number of quarts = 20/4 = 5

So, Nellie has 5 quarts of water in the watering can. Since she pours one quart of water on each plant, the number of plants she can water is 5.

Therefore, the correct answer is B. 5

This means Nellie can water 5 plants with the water in her watering can.

Answer A) 1/32

The value of the expression 1/4 ÷ 8 is

1/4 ÷ 8 = 1/4 × 1/8

To find the product, multiply the numerators (top numbers) and denominators (bottom numbers):

1 × 1/4 × 8 = 1/32

Therefore, the correct answer is A. 1/32

Answer C) 16

Answer C) $54.00

To find the total cost of 5 movie tickets and a large order of popcorn, you need to multiply the cost of each movie ticket by the number of tickets and then add the cost of the popcorn.

The cost of 5 movie tickets is 5 \times $9.25, and the cost of the popcorn is $7.75.

Now, calculate:

5 \times $9.25 + $7.75

$46.25 + $7.75 = $54.00

Therefore, the correct answer is C. $54.00

This means the total cost of 5 movie tickets and a large order of popcorn is $54.00.

Answer B) 0.7

Answer B) 2560 = 10 × (2 + 5 + 6)

The equation that correctly shows the relationship between the numbers 2,560 and 256 is:

B. 2560 = 10 × (2 + 5 + 6)

Explanation: To understand this, let's break down the equation. The numbers 2, 5, and 6 represent the digits in 256, and by adding them together (2 + 5 + 6) you get 13. Then, multiplying this sum by 10 gives you 130. Finally, multiplying 130 by 10 again gives you the original number 2,560.

Therefore, the correct answer is B. 2560 = 10 × (2 + 5 + 6)

Answer B) 3 × (24 + 9)

The expression that represents the phrase "triple the sum of 24 and 9" is: B. 3 × (24 + 9)

Explanation: The phrase indicates that you need to find the sum of 24 and 9 first (the sum is in parentheses), and then triple that sum by multiplying it by 3.

Therefore, the correct answer is B. 3 × (24 + 9)

Answer D) 45

Answer B ) The box was filled with exactly 125 unit cubes.

Answer B) 15/32

The product of  5/8 × 3/4 is found by multiplying the numerators (top numbers) together and the denominators (bottom numbers) together:

5/8 × 3/4 = 5 × 3/8 × 4

Now, calculate the product:

15/32

Therefore, the correct answer is:​ B. 15/32

This means 5/8 × 3/4 equals 15/32

Answer C) 22

To find the total number of pages Josie needs to read each day, you can use the following division:

Total pages per day = Total pages in the book/Number of days​

In this case, the total pages in the book are 1,364, and the number of days is 62.

Total pages per day = 1,364/62

Now, calculate the division:

Total pages per day ≈ 22

Therefore, the correct answer is: C. 22

This means Josie needs to read approximately 22 pages each day to finish the 1,364-page book over her summer vacation.

​

Answer B) 2 × (9 + 7)

The expression that is equivalent to 32 is:

A. (30 + 6) ÷ 3 = 36 ÷ 3 = 12
B. 2 × (9 + 7) = 2 × 16 =32
C. 9 × (3 + 5) = 9 × 8 = 72
D. 6 + 2 × 4 = 6 + 8 = 14

So, the correct answer is B, as $2\times (9+7)$ equals 32.

Answer B) 24

Explanation: In the fifth bus, 4/5 of the seats were filled, and since each bus had 40 seats, there were 4/5 × 40 = 32 kids on that bus. Since 1/8 of all passengers were adults, the number of adults is 1/8 × 32 = 4. Therefore, there were 4 adults on the field trip with the fifth-grade classes.

Answer C) 160

Answer C) 56

To find the number of student photos that will be put on each page, you can use the following division:

Number of student photos on each page = Total student photos/Number of pages

In this case, the total number of student photos is 1,344, and the number of pages is 24.

Number of student photos on each page = 1344/24

Now, calculate the division:

Number of student photos on each page = 56

This means they will put 56 student photos on each page in the yearbook.

Answer D) 2,420

To find the volume of the water tank, you can use the formula for the volume of a rectangular prism, which is:

Volume = Base Area × Height

In this case, the base area is the area of the top of the tank, which is given as 220 square feet, and the height is the depth of the tank, which is 11 feet.

Volume = 220 square feet × 11 feet

Now, calculate the volume:

Volume = 2,420 cubic feet

Therefore, the correct answer is: D. 2,420

This means the volume of the water tank is 2,420 cubic feet.

Answer A) 4 × (9 + 6)

The expression that represents the phrase "4 times the sum of 9 and 6" is:

4 × (9 + 6)

Explanation: The phrase indicates that you need to find the sum of 9 and 6 first, and then multiply that sum by 4. So, the correct expression is to put the sum inside parentheses and multiply it by 4.

Therefore, the answer is A. 4 × (9 + 6)