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The term ‘MABC’ refers to a specific series of products or grades that are part of a broader category. In the context of MABC 60, MABC 67, MABC 120, and MABC 127, these numbers typically denote varying properties and specifications of materials or products that play a significant role in their respective applications. MABC 60 … Read more

To find the four consecutive odd integers that sum up to 216, let’s denote the first odd integer as x. The next three consecutive odd integers can then be expressed as: First integer: x Second integer: x + 2 Third integer: x + 4 Fourth integer: x + 6 Now, we’ll set up an equation … Read more

The smallest number that has 1, 2, 4, and 8 as its factors is 8 itself. To understand why, let’s break it down: 1 is a factor of every integer, meaning it divides every number without leaving a remainder. The numbers 2, 4, and 8 are also factors of 8 since : 8 ÷ 1 … Read more

Finding the Number of Nickels and Dimes To solve the problem of a pile of 55 coins made up of nickels and dimes worth $3.90, we can use a system of equations. Define Variables Let n be the number of nickels. Let d be the number of dimes. Set Up the Equations We can create … Read more

To solve the equation 5x + 13 = 3x + 3, we will follow these steps: Isolate the variable terms: Start by moving the terms that contain x to one side of the equation and the constant terms to the other side. We can subtract 3x from both sides: 5x – 3x + 13 = … Read more

To convert the equation 3x + 5y + 10 = 0 into slope-intercept form, which is typically written as y = mx + b (where m is the slope and b is the y-intercept), we need to isolate y on one side of the equation. Here’s a step-by-step breakdown: Start with the original equation: 3x … Read more

To find an angle that is coterminal with a given angle (in this case, 110 degrees) within the range of 0 to 360 degrees, you can use the concept of adding or subtracting multiples of 360 degrees. Coterminal angles differ by full rotations (360 degrees), meaning that they point in the same direction on the … Read more

The series you’ve provided is composed of two interleaved sequences. Let’s break it down: The first sequence consists of the numbers in the odd positions: 3, 4, 5. This sequence is straightforward: we start at 3 and simply add 1 each time (3 + 1 = 4; 4 + 1 = 5). The second sequence … Read more

The numbering system that exclusively uses the digits 0 and 1 is known as the binary numbering system. In this system, all values are represented using only these two digits, which are essential in various computing and digital applications. Binary is a base-2 numeral system, meaning it operates on two symbols. Each digit in a … Read more