Explanation

The pattern alternates between multiplying by 2 and subtracting 8:

14 × 2 = 28

28 - 8 = 20

20 × 2 = 40

40 - 8 = 32

32 × 2 = 64

64 - 8 = 56

Explanation

By using PEMDAS: Parentheses:

3(2)=3×2=6

So the equation becomes:

5+2×6÷6ht.

First, perform the multiplication:

2×6=12

Then, perform the division:

12÷6=2

Now the equation is:

5+2

Addition: Finally, perform the addition:

5+2=7

So, the simplified value of the equation is:

5+2×6÷3(2)=7

Explanation

One kilogram is equal to 2.2046 pounds.

Difference Between Pound and Kilogram

Explanation

To find the market price of the car without tax, we need to remove the 6% sales tax from the total price of Rs. 154,431.40.

Let the market price of the car be P.

Including 6% sales tax, the equation is:

P + 0.06P = 154,431.40

1.06P = 154,431.40

Now, solve for P:

P = 154,431.40/1.06

P = 145,690

So, the market price of the car without tax is Rs. 145,690.

Explanation

To evaluate this expression, we need to follow the order of operations (PEMDAS):

Subtract 216 from 616: 616 - 216 = 400

Add 216 to 400: 400 + 216 = 616

So, the correct answer is 616.

Explanation

To calculate the interest, you can use the formula:

Interest = Principal × Rate × Time

In this case:

Principal (P) = Rs. 500

Rate (R) = 11% per annum = 0.11

Time (T) = 4 years

Interest = 500 × 0.11 × 4 = Rs. 220

So, Mr. Ali has to pay back the principal amount of Rs. 500 plus the interest of Rs. 220, making a total of Rs. 720.

The correct answer is: Rs. 220

Explanation

Here's the completed series:

2 + 18 = 20

20 + 22 = 42

42 + 26 = 68

68 + 30 = 98

The pattern consists of adding consecutive multiples of 2 (18, 22, 26, 30, ...) to obtain the next term.

Explanation

To solve for x, we can add 15 and 6 to both sides of the equation: 3x - 15 - 6 = 0

Adding 15 and 6: 3x = 21

Dividing both sides by 3: x = 21/3

x = 7

Therefore, the value of x is 7.

Explanation

The formula for the volume of a rectangular prism is:

Volume = Length × Width × Height

In this case, the length, width, and height are all 3 cubic inches, so:

Volume = 3 × 3 × 3 = 27 cubic inches

Therefore, the volume is 27 cubic inches.

Explanation

Ali's current age is 32.

His son's current age is 0 (newborn).

We want to find the number of years it takes for Ali's age to be 5 times his son's age.

Let's assume the number of years is x.

After x years, Ali's age will be: 32 + x

And his son's age will be: 0 + x = x

We want Ali's age to be 5 times his son's age, so we set up the equation: 32 + x = 5x

Subtracting x from both sides: 32 = 4x

Dividing both sides by 4: 8 = x

Therefore, it will take 8 years for Ali's age to be 5 times his son's age.

The correct answer is 8 years.