devyy To convert the improper fraction 21/8 into a mixed number, you follow a straightforward process. Here’s how to do it: Divide the numerator by the denominator. In this case, you divide 21 by 8. When you perform the division 21 ÷ 8, you find that 8 goes into 21 a total of 2 times, since … Read more
The equation of the x-axis is a simple yet fundamental concept in mathematics. The x-axis represents the horizontal line on a Cartesian coordinate system where the y-coordinate is consistently equal to zero, regardless of the x-coordinate values. In mathematical terms, this can be expressed as: y = 0 This means that for any point on … Read more
Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves. To determine the prime numbers between 1 and 50, we’ll list them out: The prime numbers from 1 to 50 are: 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 Counting … Read more
To find out how old Brian’s brother will be when Brian turns 11, let’s first establish their current ages. Right now, Brian is 8 years old, and since his brother is twice his age, we can determine his brother’s current age as follows: Brian’s age: 8 years Brother’s age: 8 years x 2 = 16 … Read more
To understand what happens when you subtract one negative integer from another, let’s break it down with an example. First, recall that a negative integer is simply any whole number that is less than zero. Examples include -1, -2, -3, and so on. When you perform the subtraction of two negative integers, such as -5 … Read more
The expression 6 x 5 x 4 x 3 x 2 x 1 represents the mathematical operation known as a factorial, specifically the factorial of the number 6. It is denoted as 6!. In mathematics, the factorial of a non-negative integer is the product of all positive integers up to that number. Therefore, the expression … Read more
To find the area of triangle ABC, you’ll need to use one of several possible formulas, depending on the information you have about the triangle. Here are three common methods: 1. Using Base and Height If you know the length of the base and the height of the triangle, you can use the following formula: … Read more
To find the explicit formula for a geometric sequence, we need to understand the components involved. A geometric sequence can be represented using the formula: an = a1 * r(n-1) Where: an is the nth term of the sequence. a1 is the first term of the sequence. r is the common ratio. n is the … Read more
To calculate 10% of 30,000, you can use a simple mathematical formula. The percentage can be calculated by multiplying the total amount by the percentage expressed as a decimal. Here’s how you can do it step-by-step: First, convert the percentage into a decimal. To do this, divide the percentage by 100: 10% = 10 ÷ … Read more
To solve the equation x² – 2x – 24 = 0, we can start by factoring the quadratic expression. We are looking for two numbers that multiply to -24 (the constant term) and add up to -2 (the coefficient of the x term). The numbers that satisfy these conditions are -6 and +4 because: -6 … Read more