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To solve the equation -2n + 46 = -9 + 42n + 1, we’ll first simplify both sides of the equation. Start by combining like terms on the right side: -9 + 1 = -8 This simplifies our equation to: -2n + 46 = 42n – 8 Next, we want to get all the terms … Read more

To determine the percent decrease when a bank account balance goes from $300 to $60, we can follow these steps: Calculate the decrease in balance: The decrease in balance is calculated by subtracting the final balance from the initial balance. Decrease = Initial Balance – Final Balance Decrease = $300 – $60 = $240 Calculate … Read more

To find the x and y intercepts of a parabola, you need to understand the standard equations of parabolas and how they relate to the coordinate system. Finding the Y-Intercept The y-intercept of a parabola is the point where it intersects the y-axis. To find it, follow these steps: Set x = 0 in the … Read more

To find the circumference of a circle when you have the diameter, you can use the formula C = 2πr, where: C represents the circumference of the circle, π (Pi) is approximately 3.14 or 22/7, r is the radius of the circle. Since the diameter is given as 28 inches, you first need to find … Read more

A unit fraction is defined as a fraction where the numerator is 1 and the denominator is a positive integer. To determine if a fraction is a unit fraction, you can follow these simple steps: Check the Numerator: Examine the numerator of the given fraction. For a fraction to be a unit fraction, the numerator … Read more

A regular hexagon can be divided into six equilateral triangles. To calculate the area of the hexagon, we can use the formula for the area of one of these triangles and then multiply by six. 1. **Understanding the Radius**: In the context of a regular hexagon, the radius refers to the distance from the center … Read more

The expression 16×4 + 64 can be factored and expressed in several equivalent forms. Let’s break it down: 8(2×4 + 8): This is one equivalent expression obtained by factoring out the common factor of 8. 16(x4 + 4): This shows the expression factored with a combination of 16 and transformation into a simpler polynomial. (4×2 … Read more

To find the solutions to the equation 4x – 8 = 2 + 5x, let’s first rearrange it step by step. 1. Start by simplifying the equation: 4x – 8 = 2 + 5x 2. To isolate the variable, we can subtract 5x from both sides: 4x – 5x – 8 = 2 3. This … Read more

Calculating the original price of a discounted item can seem tricky at first, but it’s quite straightforward once you understand the process. Here’s how you can do it in a few simple steps: Identify the Discounted Price: Start by noting the price after the discount has been applied. This is the amount you see on … Read more

Solving the Equation x² + 2x + 6 = 0 To solve the quadratic equation x² + 2x + 6 = 0, we can use several methods. However, in this case, the quadratic formula is likely the most effective method because it provides a solution for any quadratic equation. Step 1: Identifying Coefficients The general … Read more