Explanation

Explanation

Let's denote the two numbers as x and y.

Given:

xy = 96 ... (1)

x + y = 35 ... (2)

We can rewrite equation (2) as:

y = 35 - x

Substitute this into equation (1):

x(35 - x) = 96

35x - x² = 96

x² - 35x + 96 = 0

Factoring the quadratic equation:

(x - 3)(x - 32) = 0

x = 3 or x = 32

If x = 3, y = 32

If x = 32, y = 3

The greatest number is 32.

Explanation

To find the intersection (C ∩ D) of sets C and D, we need to find the elements that are common to both sets.

C = {a, b, e, f}

D = {2, 4, 8, 10}

Since there are no common elements between C and D, the intersection is an empty set.

Explanation

Roman numeral LVI =

L = 50, V = 5, I = 1

So, 50 + 5 + 1 = 56.

Explanation

Explanation

2483 × 253 = 628199 is the exact product.

This is a simple multiplication of two whole numbers.

Explanation

$2+2-2\times 2+2=0$
$=2+2-4+2$
$=4-4+2$
$=2$

Explanation

Total = 0.98 + 45.102 + 32.3333 + 31 + 0.00009 = 109.41539

Explanation

Valid Methods for Linear Equations:

Substitution: Solve one equation for a variable and substitute into the other.

Elimination: Add/subtract equations to eliminate a variable.

Cramer’s Rule: Uses determinants for systems with unique solutions.

Explanation

If a, b, c ∈ R (real numbers), then:

a < b ⟹ a + c < b + c

This is a fundamental property of inequalities, which states that adding the same value to both sides of an inequality preserves the inequality.