Explanation

To solve for x:

9x - 3 = 15

Add 3 to both sides:

9x = 18

Divide by 9:

x = 2

Now, substitute x into the second equation:

3x - 1 = 3(2) - 1

= 6 - 1

= 5

Explanation

Invaders such as Mahmud of Ghazni, Muhammad Ghori, and the Mughals raided the Indian subcontinent for wealth, prisoners, and territorial expansion.

Their invasions led to the establishment of various dynasties and the spread of new cultures, religions, and administrative systems in the region.

Explanation

Explanation

To expand the expression:

(√3 - √2)²

= (√3)² - 2(√3)(√2) + (√2)²

= 3 - 2√6 + 2

= 5 - 2√6

Explanation

The correct phrase is "excused for", which is used when someone is forgiven for a mistake or fault.

Example: He cannot be excused for his incompetence in handling the project.

Explanation

The Basic Teaching Model (BTM) focuses on structured teaching with clear objectives, instructional processes, and evaluation.

It emphasizes a systematic approach to instruction, ensuring effective learning outcomes.

Explanation

We know that 1/7 of x is 4:

(1/7)x = 4

To find x, multiply both sides by 7:

x = 4 × 7

x = 28

Now, find 1/4 of x:

(1/4)x = (1/4) × 28

= 7

Explanation

"This is the best peach producing valley" 

Grammatically awkward. It should be:

 "This is the best peach-producing valley."

(Hyphenate "peach-producing" as it's a compound adjective.)

"I done matric in 2010" 

Incorrect verb form. It should be:

"I did matric in 2010"

("Done" is the past participle; here we need the simple past, "did.")

"This is an utensil" 

"An" is used before vowel sounds, not just vowels.

 The correct sentence is: "This is a utensil."

Because "utensil" starts with a 'yoo' sound, which is a consonant sound.

So, since all the options have errors, the correct choice is:

"None of these"

Explanation

Surface area – Greater surface area increases the rate of evaporation.

Wind speed – Higher wind speed removes water vapor quickly, enhancing evaporation.

Explanation

To find the ratio of 1.8 to 2:

Divide 1.8 by 2:

1.8 ÷ 2 = 0.9

Now, multiply by 10 to eliminate the decimal:

0.9 × 10 = 9

The ratio becomes:

9 : 10