Explanation

Rounding Rule for Two Decimal Places:

Look at the third decimal digit (6 in 3.8461).

If it is 5 or greater, round the second decimal digit up (4 → 5).

If it is less than 5, keep the second decimal digit unchanged.

Step-by-Step Rounding:

Original: 3.8461

Third decimal digit = 6 (≥5), so round the second decimal (4) up to 5.

Result: 3.85

Explanation

Explanation

The union (∪) of sets includes all unique elements from both sets.

From X = {3,4,5,6} and Y = {1,2,3,8}, their union is {1,2,3,4,5,6,8}.

Explanation

To convert kilometers per hour (km/h) to meters per second (m/s), multiply by 1000/3600:

72 km/h = 72 × (1000/3600)

= 72 × 5/18

= 20 m/s

Explanation

To find the number of good apples, you can subtract the number of bad apples from the total number of apples.

First, calculate the number of bad apples:

2/9 of 27 = (2/9) × 27 = 6

So, there are 6 bad apples.

To find the number of good apples, subtract the bad apples from the total:

27 - 6 = 21

Therefore, there are 21 good apples.

Explanation

Explanation

Let's follow the order of operations (PEMDAS):

15 × (10 × 6)

= 15 × 60

= 900

Now, let's rewrite 900 in the form ____ × 10:

900 = 90 × 10

Explanation

High temperatures:

Monday = 75°F

Tuesday = 82°F

Wednesday = 78°F

Thursday = 84°F

Friday = 81°F

Total = 75 + 82 + 78 + 84 + 81 = 400°F

Mean = Total ÷ Number of days = 400 ÷ 5 = 80°F

Explanation

48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

64: 1, 2, 4, 8, 16, 32, 64

120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

The highest common factor (HCF) among these numbers is: 8

Explanation

Converting all to decimals:

7:9 = 0.777

2:3 = 0.666

5:6 = 0.833

3:4 = 0.75

Correction: Correct answer: 5:6