Explanation

Village X population = 68000 – 1200p

Village Y population = 42000 + 800p

These two values should be equal.

So,

68000  – 1200p  =  42000 + 800p

1200p +  800p   =  68000 - 42000

               2000p  =   26000.

                        P =   26000 / 2000 = 13

                  The population of the two villages are equal after  = 13years

Explanation

63 + 64 = 127.

Explanation

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.

Explanation

An item that attracts a great deal of attention because of its superficial characteristics

Explanation

Explanation

Acre, unit of land measurement in the British Imperial and United States Customary systems, equal to 43,560 square feet,

 4,840 square yards.

One acre is equivalent to 0.4047 hectare (4,047 square metres).

Explanation

Correlation coefficients are indicators of the strength of the linear relationship between two different variables, x and y. A linear correlation coefficient that is greater than zero indicates a positive relationship. A value that is less than zero signifies a negative relationship

Explanation

Suppose the value of the house is X then 

160 = 2_5 ×X

160 = 2_5 X 1_100 × X

160 × 500 2X

80000 = 2X

X = 40000

Explanation

10*10=100

Explanation

The number of new words that can be formed by rearranging the letters of the word "ALIVE" is:

5! (5 factorial) = 5 × 4 × 3 × 2 × 1 = 120

However, we need to subtract 1 because the original word "ALIVE" is also a possible arrangement.

So, the correct answer is:

120 - 1 = 119