Explanation

To solve for x:

9x - 3 = 15

Add 3 to both sides:

9x = 18

Divide by 9:

x = 2

Now, substitute x into the second equation:

3x - 1 = 3(2) - 1

= 6 - 1

= 5

Explanation

To evaluate the expression, follow the order of operations:

Multiply 2 and 3: 2 × 3 = 6

Subtract 5 from 4: 4 - 5 = -1

Divide -1 by -1: -1 ÷ -1 = 1

Add 6 and 1: 6 + 1 = 7

Explanation

Substitute the given values:

a = 1, b = 0, c = -1

Now, evaluate the expression:

(a - c) - (a + b) + ab

= (1 - (-1)) - (1 + 0) + 1(0)

= (1 + 1) - 1 + 0

= 2 - 1

= 1

Explanation

Substitute n = 3 into the expression: 2²(3) + 17

Simplify the exponent: 2⁶ + 17

Calculate 2⁶: 64

Add 17: 64 + 17 = 81

Explanation

To expand the expression:

(√3 - √2)²

= (√3)² - 2(√3)(√2) + (√2)²

= 3 - 2√6 + 2

= 5 - 2√6

Explanation

To convert 0.50% to a fraction:

0.50% = 0.50/100

= 0.0050

To simplify:

0.0050 = 5/1000

= 1/200

Explanation

( x × 8 ) + [ ( 1000 − x ) × 18 ] = 14 × 1000

Simplifying the equation:

−10x + 18000 = 14000

Solving for x:

x = 400

And finally, finding the quantity sold at 18% profit:

1000 − 400 = 600 kg

Explanation

Given that the sum of 3, 7, and x is 18:

3 + 7 + x = 18

Combine constants:

10 + x = 18

Subtract 10 from both sides:

x = 8

Now, find the average (arithmetic mean) of 3, 7, and x:

Average = (3 + 7 + x) / 3

= (3 + 7 + 8) / 3

= 18 / 3

= 6

Explanation

Given the equation: 8x - 3y = 24

Substitute y = 0:

8x - 3(0) = 24 → 8x = 24

Solve for x:

x = 24 ÷ 8 = 3

Explanation

The absolute value | -12 | represents the distance of -12 from zero, which is always positive.

Therefore, | -12 | = 12.