Explanation

Let's solve the equation step by step:

3(y - 2) + 4(y - 3) = 5y + 14 - 4(y - 8)

Expanding the equation:

3y - 6 + 4y - 12 = 5y + 14 - 4y + 32

Combine like terms:

7y - 18 = y + 46

Subtract y from both sides:

6y - 18 = 46

Add 18 to both sides:

6y = 64

Divide by 6:

y = 64 / 6

y = 32 / 3

Explanation

The even numbers from 2 to 18 are: 2, 4, 6, 8, 10, 12, 14, 16, 18.

To find the average, we'll add these numbers and divide by 9:

Sum = 2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 = 90

Average = Sum / Number of terms

= 90 / 9

= 10

Explanation

Given:

LCM = 456

HCF = 6

One number = 24

Let's denote the other number as x. We know:

LCM * HCF = Product of the numbers

456 * 6 = 24 * x

2736 = 24x

x = 2736 / 24

x = 114

Explanation

48.95 - 32.006 = 16.944

So, the correct answer is 16.944.

Explanation

To evaluate the expression:

Log₁₀ √10

First, rewrite the square root as an exponent:

√10 = 10^(1/2)

Now, apply the logarithm:

Log₁₀ 10^(1/2)

Using the property of logarithms that states logₐ a^x = x:

Log₁₀ 10^(1/2) = 1/2

Explanation

0.8

-0.3

0.5

---------

1.0

****

0.8-0.3+0.5=1

Explanation

Negative integers are all numbers less than 0 (e.g., -1, -2, -3, ...).

They lie to the left of zero on the number line.

Explanation

To find the price of 7 tube lights, first, calculate the cost of one tube light. Asad bought 12 tube lights for Rs. 6900.

Cost per tube light = Total cost / Number of tube lights

= 6900 / 12

= 575

Now, calculate the cost of 7 tube lights:

Cost of 7 tube lights = Cost per tube light * Number of tube lights

= 575 * 7

= 4025

Explanation

Calculating the Total Bill

1. Sandwiches: 3 × 250 = Rs. 750

2. Cold drinks: 2 × 180 = Rs. 360

3. Coffee: Rs. 210

4. Total food cost: 750 + 360 + 210 = Rs. 1320

5. Tax: Rs. 112

6. Total bill: 1320 + 112 = Rs. 1432

Change Calculation

Amount paid: Rs. 5000

Change = 5000 - 1432 = Rs. 3568

Explanation

Universal set (U) = {1, 2, 3, 4, 5, 6}

Set A = {2, 3}

Complement of A means all elements in U that are not in A → {1, 4, 5, 6}