Explanation

A rhombus has all four sides equal in length and opposite sides parallel.

It is a special type of parallelogram with equal sides.

Explanation

Let's factor the area:

2x^2 - 7x - 4 = (2x + 1)(x - 4)

Assuming these are the length and width:

Length (L) = 2x + 1

Width (W) = x - 4

Perimeter = 2(L + W)

= 2(2x + 1 + x - 4)

= 2(3x - 3)

= 6x - 6

Explanation

To find the weight of rice per packet:

1350 kg / 30 packets = 45 kg/packet

For 38 packets:

Weight = 38 packets × 45 kg/packet

= 1710 kg

Explanation

To find the percentage discount:

Marked price = Rs. 80

Sale price = Rs. 72

Discount = Marked price - Sale price

Discount = 80 - 72

Discount = 8

Percentage discount = (Discount / Marked price) × 100

Percentage discount = (8 / 80) × 100

Percentage discount = 10%

Explanation

Since the sum doubles itself in 15 years, it will quadruple (2 × 2) in 30 years (15 × 2), and become eight times (2 × 2 × 2) in 45 years (15 × 3).

Explanation

"Sum of x and five" means (x + 5).

"Six times" means multiplying by 6.

So, the correct expression is 6(x + 5).

Explanation

x: -3 < x < 6

This represents all numbers greater than -3 and less than 6.

Explanation

To find the number of subsets of a set A:

Number of subsets = 2^n

where n is the number of elements in the set.

In this case:

A = {a, e, i, o, u}

n = 5

Number of subsets = 2^5 = 32

Explanation

Explanation

 To find the price of 7 toys if 1 toy costs 31:

Total Price=31×7=217