Explanation

To write 50700 in scientific notation, move the decimal point to the left until you have a number between 1 and 10:

50700 → 5.07 × 10⁴

Explanation

To evaluate the expression 1/2 + 1/3 - 1/4, we need to find a common denominator. The least common multiple of 2, 3, and 4 is 12.

1/2 = 6/12

1/3 = 4/12

1/4 = 3/12

Now, let's add and subtract:

6/12 + 4/12 - 3/12

= (6 + 4 - 3)/12

= 7/12

Explanation

Let's denote the two numbers as 2x and 3x, based on the ratio 2:3.

The difference between the numbers is:

3x - 2x = 60

x = 60

Now, find the numbers:

Smaller number = 2x = 2 × 60 = 120

Larger number = 3x = 3 × 60 = 180

The numbers are 180 and 120.

Explanation

Let's convert the mass of the bulb to grams:

Mass of bulb = 12 milligrams = 0.012 grams

Mass of tube = 25 grams

Difference in mass = 25 - 0.012

= 24.988 grams

Explanation

1 gram (g) is defined as 1/1000th of a kilogram (kg), i.e., 1 g = 0.001 kg.

This follows the metric system, where 1 kg = 1000 g.

Explanation

To solve |2x| = -4:

Since the absolute value is always non-negative, there is no solution for:

|2x| = -4

The absolute value of any number cannot be negative.

The correct answer is:

{} (empty set, indicating no solution)

Explanation

Explanation

To solve the equation:

18 1/6 ÷ 2 1/3

First, convert the mixed numbers to improper fractions:

18 1/6 = 109/6

2 1/3 = 7/3

Then, divide the fractions:

(109/6) ÷ (7/3) = (109/6) × (3/7) = 327/42

Simplify the fraction:

327/42 = 109/14

Convert the improper fraction back to a mixed number:

109/14 = 7 11/14

Explanation

Explanation

16620 ÷ 12 = 1385

Quotient is the whole number result of division.