The given series is 3, 9, 27, 81, 243. To find the next number, let’s analyze the pattern in the series. First, we can look at how each number relates to the one before it: 3 multiplied by 3 gives us 9 9 multiplied by 3 gives us 27 27 multiplied by 3 gives us … Read more
Factoring a quadratic equation like x² + 5x + 6 involves finding two binomials that multiply to give the original expression. Here’s a step-by-step guide: Identify the coefficients: In this equation, the coefficients are: – a (coefficient of x²) = 1 – b (coefficient of x) = 5 – c (constant term) = 6 Our … Read more
To find half of the number 34, you would simply divide it by 2. So, let’s do the math: 34 ÷ 2 = 17 Therefore, half of 34 is 17. If you’re referring to the fraction 1/34, we can look at that too. When you want to find half of a fraction, you multiply the … Read more
To convert the decimal 78.23 into a fraction, we follow a systematic approach. Here’s a step-by-step guide: Understand the Decimal: The decimal 78.23 consists of two parts: the whole number part (78) and the decimal part (0.23). Convert the Whole Number: The whole number 78 can be represented as a fraction with a denomination of … Read more
Dividing a whole number by a decimal may seem tricky at first, but it’s quite straightforward once you understand the process. Here’s a step-by-step guide: Step 1: Understand the Problem Let’s say you want to divide 8 by 0.4. The goal is to find out how many times 0.4 can fit into 8. Step 2: … Read more
When the standard deviation of a data set is 0, it means that there is no variation or dispersion among the values in that set. In simpler terms, every single value in the data set is the same. To understand this better, consider a few examples: Imagine you have a group of students who all … Read more
The number 21 can be expressed as a fraction in its simplest form by placing it over the number 1. Thus, 21 as a fraction is: 21/1 In terms of fractions, simplifying involves ensuring that the numerator and denominator share no common factors other than 1. Since 21 is a whole number and 1 is … Read more
To convert a percentage into a fraction, you can follow a simple process. In this case, we want to express 14 percent as a fraction. 1. Start by understanding that ‘percent’ means ‘per hundred.’ So, 14 percent can be written as: 14% = 14/100 2. Next, we simplify the fraction. Both 14 and 100 can … Read more
To find the area of a triangle placed within a square, you first need to identify the dimensions of both the square and the triangle. Let’s break it down step-by-step: 1. Understand the Basics A triangle is a shape with three sides, and the area is calculated using the formula: Area = (base x height) … Read more
To express the number 90 as a fraction in its simplest form, we can create a fraction where 90 is the numerator. A straightforward way to do this is to place 90 over 1. Therefore, we can initially write: 90 = 90/1 Now, we need to simplify this fraction if possible. The fraction 90/1 is … Read more