Explanation

 7 × 7 + 5 × 5

= 49 + 25

= 74

Explanation

Let two numbers are X and Y.

X + Y = 37.

X2 - Y2 = 185

(X + Y) (X - Y) = 185

X - Y = 5.

Explanation

In geometry, an altitude of a triangle is a line segment through a vertex and perpendicular to (i.e., forming a right angle with) a line containing the base (the side opposite the vertex). This line containing the opposite side is called the extended base of the altitude.

Explanation

Let the price of the chair be =x

Let the price of table =400+x

6 of each sold at 4800

⟹6×(400+x)+6×x=4800

⟹x=200 

chair price =200 , table price =600

required percentage =600200​×100

                                    =3331​%

Explanation

To express 49/5 as a mixed fraction:

49 ÷ 5 = 9 remainder 4

So, 49/5 = 9 4/5

Explanation

Solution for What is 20 percent of 0.75:

20 percent *0.75 =

(20:100)*0.75 =

(20*0.75):100 =

15:100 = 0.15

Explanation

"One quarter past 3" means 15 minutes after 3 o'clock.

Explanation

One day has 24 hours.

So two days have 48 hours (24 x 2).

Explanation

To find the fraction of work left undone, calculate the total work completed:

Day 1: 3/8

Day 2: 1/4 = 2/8 (common denominator)

Total work completed = 3/8 + 2/8 = 5/8

Work left undone = 1 - 5/8 = 3/8

Explanation

A matrix with m rows and n columns where m ≠ n is called a rectangular matrix.

A square matrix has m = n (same number of rows and columns).