Explanation

Explanation

Arithmetic sequence formula:

• aₙ = nth term
• a₁ = first term
• n = term number
• d = common difference

Formula: aₙ = a₁ + (n - 1)d

Last verified on 09-02-2026

Explanation

The sum of the exterior angles of any polygon is always 360 degrees. 

As for the interior angles, the sum of all the interior angles in a polygon is equal to: (n-2) x 180

Explanation

Explanation

Given:  

a/3 = b/2

Cross-multiply:  

2a = 3b → a = (3b)/2

Now plug this value of a into the expression:

(2a + 3b) / (3a - 2b)  

= [2(3b/2) + 3b] / [3(3b/2) - 2b]  

= (3b + 3b) / (9b/2 - 2b)  

= 6b / [(9b - 4b)/2]  

= 6b / (5b/2)  

= 6b × (2/5b) = 12/5

Explanation

Sum of the 5 number = -10 * 5 = -50

Sum of the 3 numbers = 16

Sum of other 2 numbers = -50 - 16 = -66

Average of the 2 numbers = -66/2 = -33.

Explanation

Explanation

Given:

- 40 animals  

- Each animal needs 20 packets of milk  

- 1 packet = 200 ml  

- Milk cost = 4.6 pesos per litre  

- Only 80% of milk is provided  

Step 1: Total packets needed

40 animals × 20 packets = 800 packets

Step 2: Total milk in ml

800 packets × 200 ml = 160,000 ml

Step 3: Convert to litres

160,000 ml ÷ 1000 = 160 litres

Step 4: Only 80% is provided

160 litres × 0.8 = 128 litres

Step 5: Total cost

128 litres × 4.6 pesos = 588.8 pesos

Explanation

Detailed Answer

One light year is equal to the distance that light travels in one year

(it is about ten trillion kilometers or six trillion miles).

A light year is a unit of distance.

The distance light travels in one year is known as light year.

A light-year is a unit of length used to express astronomical distances and measures about 9.46 trillion kilometers (9.46 x 1012 km) or 5.88 trillion miles (5.88 x 1012 mi)

Explanation

72 marks = 80% of total marks  

Let total marks = x  

So, 0.8x = 72 ⇒ x = 72 ÷ 0.8 = 90