Explanation

Let the two consecutive integers be x and x+1.

Their sum is given by: 

x+(x+1)=31

Simplify and solve for  

x: 2x+1=31

2x=30

Divide both sides by 2:

x=15

So, the two consecutive integers are:

15 and 15+1=16

Answer: 15 and 16

Explanation

To solve the equation  2x+3=11:

Start by isolating 

𝑥: 2x+3=11

Subtract 3 from both sides:

2x=11−3

2x=8

Divide both sides by 2:

𝑥 = 8/ 2

x=4

Explanation

She wanted to go to the party but I have to study

A word like "but" would be the correct answer as it is a conjunction.

In this particular set of options, the correct choice is not listed.

Explanation

To simplify the ratio of 12 to 18, divide both numbers by their greatest common divisor (GCD), which is 6:

12/ 6 = 2

18/ 6 = 3

Thus, the ratio of 12 to 18 in its simplest form is 2:3.

Explanation

Sir Muhammad Iqbal's 1930 Presidential Address to the 25th Session of the All-India Muslim League Allahabad, 29 December 1930.

He proposed the idea of a separate nation for Muslims, which eventually led to the formulation of the Pakistan Movement

Allama Iqbal is a National Poet of Pakistan

Allama Iqbal Born: November 9, 1877, Sialkot

Allama Iqbal Died: April 21, 1938, in Lahore

Allama Iqbal Place of burial: Tomb of Allama Iqbal, Lahore

Explanation

To create a header in Microsoft Word, you need to go to the "Insert" tab on the Ribbon and then select "Header" from the options available.

This allows you to add and customize headers in your document.

Explanation

To find the interest earned using the simple interest formula, use:

Simple Interest = 𝑃 × 𝑟 × 𝑡

where:

P is the principal amount ($1200),

r is the annual interest rate (5% or 0.05),

t is the time in years (2 years).

Substitute the values into the formula:

Simple Interest=1200×0.05×2

Calculate:

Simple Interest=1200×0.05=60

Simple Interest=60×2=120

Explanation

To solve the equation  5x−7=3x+5:

1: Start by isolating x on one side of the equation

5x−7=3x+5

2: Subtract 3x from both sides:

5x−3x−7=5

2x−7=5

3: Add 7 to both sides:

Explanation

In the sentence "She quickly finished her homework," the word "quickly" is an adverb.

It modifies the verb "finished" by describing how the action was performed.

Explanation

innovative  اختراعی

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