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To solve the equation 4 × 2x = 6 × 24, we need to simplify both sides step by step. Let’s break it down: Calculate the right-hand side: First, we multiply the numbers on the right: 6 × 24. Calculating this gives us: 6 × 24 = 144 Rewrite the equation: Now our equation looks … Read more

The distributive property is a mathematical principle that allows us to multiply a number by a group of numbers added together. However, in the case of simplifying a straightforward multiplication like 4 x 3, it’s not necessary to use the property directly. Instead, we can observe how the distributive property can help illustrate the multiplication … Read more

The number that is one followed by one hundred zeros is known as a quintillion. In numerical terms, it is represented as: 1 followed by 100 zeros = 10100 This immense number is often referred to in various contexts, especially in mathematics and science, to describe extraordinarily large quantities. To give you a better understanding, … Read more

Figures that have the same shape and size are known as congruent figures. In geometry, two shapes are considered congruent if they can be perfectly overlaid on top of each other through a series of rigid transformations, which include translations (sliding), rotations (turning), and reflections (flipping). This implies that both the dimensions and form of … Read more

To determine the value of the product xy where x and y are positive integers, we first need to understand what positive integers are. Positive integers are the set of whole numbers greater than zero, which include 1, 2, 3, 4, and so on. The product xy refers to the multiplication of the two integers … Read more

To convert the mixed number 2 13 into an improper fraction, follow these steps: Multiply the whole number by the denominator: In our case, the whole number is 2, and the denominator (the number below the fraction line) is 13. So, you multiply: 2 × 13 = 26. Add the result to the numerator: Since … Read more

The range of the function y = x² is the set of all possible output values (y-values) that the function can produce. To determine the range, we start by recognizing that this function is a quadratic function, and its graph is a parabola that opens upwards. In the case of y = x², regardless of … Read more

To solve for the missing number in the series 1, 4, 27, __, 3125, let’s first look for a pattern connecting the numbers. We can observe that: 1 = 13 4 = 23 27 = 33 __ = 43 3125 = 55 We note that the first three numbers represent cubes of integers: 1, 2, … Read more

To determine the next number in the sequence 6, 18, 20, 10, 30, 32, 16, we first need to analyze the pattern present in the numbers. Let’s break it down: Starting with 6, it is followed by 18. This is an increase of 12. The next number, 20, is an increase of 2 from 18. … Read more