Explanation

Mean of 5 numbers =18

⇒ Sum of these 5 numbers =18×5=90

Let number that has been excluded be x

New mean =490−x​=16

Solving this, we get

90−x=64

∴x=26

Explanation

1/240 * n * 4 = 6 becomes:

1/240 * 360 * 4 = 6

we simplify to get:

6 = 6 confirming that our calculation of the number of people required is good.

the answer is that it would require 360 men to fill 6 holes in 4 months.

Explanation

Given the conditions:

a>b

b>c

d>a

We can draw the following relationships:

From a>b and b>c, we know that a>c.

From d>a, we know d>a and, since a>b and a>c, it follows that d>b and d>c.

So, the only valid option is b

Explanation

Answer:

 Isosceles

In geometry, an isosceles triangle is a triangle whose two sides are the same length. Two sides of exactly the same length may be given, or at least two sides of equal length may be given. The latter version includes an equilateral triangle as a special case.

Explanation

The alternendo property states that if a/b = c/d, then:

a/c = b/d

Explanation

Let x be volume of the solution

 8/100 × x = 15.

8/100 = 15/x. Cross multiplication.

8x = 15×100.

x = 15 × 100/8.

= 187.5 ml. 

Explanation

Explanation

To find the total number of tiles required, we need to convert the floor dimensions from feet to inches and then divide the total area by the area of a single tile.

Floor dimensions:

5 feet = 5 x 12 = 60 inches (length)

4 feet = 4 x 12 = 48 inches (width)

Total area = length x width = 60 x 48 = 2880 square inches

Tile dimension:

10 square inches

Now, divide the total area by the tile area:

2880 ÷ 10 = 288

So, 288 tiles of dimension 10 square inches are required to cover the floor.

Explanation

To find the value of X, substitute Y = 5 into the equation Y = 3X + 12:

5 = 3X + 12

Subtract 12 from both sides:

-7 = 3X

Divide both sides by 3:

-7/3 = X

So, the value of X is -7/3!

Explanation

Answer

h=4cm

Altitude = 4cm

Solution:

 Area of the parallelogram = 32cm²

Base = 8cm

Let the altitude be x cm .

Then , Area of a parallelogram = Base x Altitude = 32cm²

8x = 32cm²

x = 32/8 cm²

x = 4 cm