Explanation

To divide -63 by -7:

[-63] ÷ (-7) = 9

Explanation

Simplify inside the parentheses: (3 - 5 + 2) = 0

Solve the expression: 8 - 0 = 8

Explanation

First, find the weight of one book:

88 kg ÷ 40 books = 2.2 kg per book.

Then, multiply by 6 books:

2.2 kg × 6 = 13.2 kg.

So, the weight of 6 books is 13.2 kg.

Explanation

Using the Pythagorean theorem:

a² + b² = c²

where a and b are the lengths of the two sides, and c is the length of the hypotenuse.

Given:

a = 5 cm

b = 12 cm

Substitute the values:

5² + 12² = c²

25 + 144 = c²

169 = c²

Take the square root:

c = √169

= 13 cm

Explanation

To convert km/h to m/s:

1 km = 1000 m

1 hour = 3600 seconds

So, 180 km/h = 180 × (1000 m / 1 km) × (1 hour / 3600 seconds)

= 180 × 1000 / 3600

= 50 m/s

Explanation

Given equations:

1. x - 2y = 5

2. 2x - y = 6

Step-by-Step Solution

Step 1: Solve one equation for one variable

From equation (2):

2x - y = 6

⇒ y = 2x - 6

Step 2: Substitute into the other equation

Substitute y = 2x - 6 into equation (1):

x - 2(2x - 6) = 5

x - 4x + 12 = 5

-3x + 12 = 5

Step 3: Solve for x

-3x = 5 - 12

-3x = -7

x = 7/3

Step 4: Solve for y

Substitute x = 7/3 back into y = 2x - 6:

y = 2(7/3) - 6

y = 14/3 - 6

y = 14/3 - 18/3

y = -4/3

Explanation

To find the degree of the polynomial:

Add the exponents of x and y:

Degree = exponent of x + exponent of y

= 3 + 2

= 5

Explanation

A monomial is an algebraic expression with only one term (no addition or subtraction signs).

4ab²c² is a single term, so it is classified as a monomial.

Explanation

Given:

Total milk sold = 180 liters

Angle for home delivery = 80°

Total angle in a pie chart = 360°

Fraction for home delivery = 80° / 360°

= 2/9

Milk supplied to homes = 2/9 × 180

= 40 liters

Explanation

Step 1: Find the total amount

Let the total amount be x.

20% of x = 150

0.20x = 150

x = 150 / 0.20

x = 750

Step 2: Calculate 26% of the amount

26% of 750 = 0.26 × 750 = 195