Explanation

log5​25(125)(625)​=log5​5253.54​=log5​5257​

=log5​55=5log55​

=5 

Explanation

25 / 100 = 1 / 4 [ Dividing numerator and denominator by their HCF which is 25 ]

Explanation

We can add two matrices having real numbers A and B if their order is the same

ہم دو میٹرکس کو جوڑ سکتے ہیں جن کے اصلی نمبر A اور B ہیں اگر ان کی ترتیب ایک جیسی ہو۔

Explanation

Roman numerals for the given numbers:

• 1 - I
• 5 - V
• 10 - X
• 50 - L
• 100 - C
• 500 - D

Explanation

1. Current Ages:

   • Let Zoya’s current age be $x$
   • Then, Zaid’s current age is $6x$ (since he is six times as old as Zoya).

2. The sum of Ages in 7 Years:

   • In 7 years, Zoya's age will be $x + 7$ and Zaid's age will be $6x + 7$.
   • The sum of their ages in 7 years will be $(x+7)+(6x+7)=49$.

Step 1: Formulate the Equation

x+7+6x+7=49
$$7x+14=49$$

Step 2: Solve for $x$

Subtract 14 from both sides:

$$7x=35$$

Now divide by 7:

$$x=5$$

So, Zoya’s current age is $5$ years and Zaid’s current age is:

$$6x=6\times 5=30$$

Step 3: Determine Zaid’s Age When Zoya Was Born

When Zoya was born, Zaid would have been:

$$30-5=25$$

Explanation

12130/5 = 2426

Explanation

Explanation

Twin primes are pairs of prime numbers that have a difference of exactly 2.

(3,5) is a twin prime pair because 5 - 3 = 2.

Explanation

The quadratic equation whose roots are reciprocal of:

2x2 + 5x + 3 = 0 can be obtained by replacing x by 1/x.

Hence, 2(1/x)2 + 5(1/x) + 3 = 0

=> 3x^2 + 5x + 2 = 0

Explanation

We can write % as 1/100 so.

142.5/100 = 1.425