Adding 45 and 27 gives 72 because 40 + 20 equals 60 and 5 + 7 equals 12; then 60 + 12 equals 72. This straightforward addition confirms the correct answer.

The fraction 2/4 simplifies to 1/2 when both the numerator and denominator are divided by 2. This demonstrates that 2/4 is equivalent to 1/2.

In the number 573, the digit 7 is in the tens place, which means it represents 70. Recognizing place value is key to understanding number structure.

A square has 4 equal sides and 4 right angles, making it the correct choice. In contrast, rectangles can have unequal adjacent sides.

Dividing 36 by 6 results in 6 because 6 times 6 equals 36. This division problem confirms the straightforward answer.

To calculate 3/4 of 32, you multiply 32 by 3/4, which equals 24. This demonstrates fraction multiplication applied to a whole number.

The perimeter of a rectangle is calculated by adding twice the sum of its length and width: 2 × (8 + 3) = 22 cm. This method correctly determines the perimeter.

The fraction 2/3 is already in its simplest form as its numerator and denominator have no common factors other than 1. The other options can be simplified further.

Multiplying 12 by 8 gives 96, which is achieved by standard multiplication techniques. This confirms the correct product for the problem.

There are 60 minutes in an hour, so 3 hours contain 3 × 60 = 180 minutes. This conversion confirms the correct answer.

When rounding to the nearest ten, numbers ending in 5 or above round up, so 68 rounds to 70. This rounding rule ensures accurate approximation.

Since one 1/2 cup equals 0.5, it is less than the required 3/4 cup (0.75). Using two 1/2 cups yields 1 cup, which is enough to meet the recipe's requirement.

In a decimal number, the digit immediately after the decimal point is in the tenths place. Therefore, the digit 5 in 4.56 represents 0.5 or the tenths value.

The area of a rectangle is calculated by multiplying the length by the width: 9 × 4 equals 36 square units. This method delivers the correct area.

Average speed is determined by dividing total distance by time, so 300 miles divided by 5 hours equals 60 mph. This calculation confirms the train's average speed.

Multiplying the number of packs (5) by the number of pencils per pack (12) gives 60 pencils. This multiplication accurately determines the total number of pencils.

To add 7/8 and 2/3, convert both fractions to a common denominator, which is 24. The conversion gives 21/24 + 16/24 = 37/24, the correct simplified sum.

First, evaluate the expression inside each parenthesis: (3 + 5) equals 8 and (10 − 6) equals 4. Multiplying these two results, 8 x 4, gives 32, which is the correct answer.

If one third of a number equals 15, then multiplying 15 by 3 gives the entire number, which is 45. This reverse calculation confirms the correct number.

Let the width be w, so the length is 2w. The perimeter is calculated as 2(w + 2w) = 6w; setting 6w equal to 36 meters gives w = 6 meters, which is the correct width.