devyy To convert the improper fraction 11/3 into a mixed number, we follow a few simple steps. 1. **Divide** the numerator (11) by the denominator (3). In this case, 11 ÷ 3 = 3 with a remainder of 2. 2. **Write the whole number part**: The quotient from the division (3) becomes the whole number part … Read more
16 raised to the power of 2, often written as 16², is a mathematical expression that indicates multiplying 16 by itself. To calculate this, you simply perform the multiplication: 16 × 16 = 256 Therefore, 16² = 256. This means that if you have a square with each side measuring 16 units, the area of … Read more
The lowest common denominator (LCD) is the smallest number that can serve as a common multiple of the denominators of two or more fractions. In the case of the numbers 8 and 9, we are looking for the least common multiple (LCM), which will also act as the LCD when dealing with fractions. To find … Read more
To find the magnitude of a vector with three components (often denoted as v = (x, y, z)), you can use the formula derived from the Pythagorean theorem extended into three dimensions. The formula is as follows: Magnitude of the vector (|v|) = √(x² + y² + z²) Here’s a step-by-step approach on how to … Read more
Calculating 2 to the 5th power, written as 25, means multiplying the number 2 by itself a total of five times. In simpler terms, it is represented mathematically as: 25 = 2 × 2 × 2 × 2 × 2 Now, let’s break it down: First, we start with the first two: 2 × 2 … Read more
The additive inverse of a number is defined as the value that, when added to the original number, yields zero. In simpler terms, it is the opposite of that number. For the number 7, its additive inverse is -7. This is because: 7 + (-7) = 0 So when you add 7 and -7 together, … Read more
To solve the equation 3x + 22x + 8x = 0, let’s first combine like terms on the left-hand side. 1. Combine the coefficients of x: 3x + 22x + 8x = (3 + 22 + 8)x = 33x 2. So, the equation simplifies to: 33x = 0 3. Now, to find the value of … Read more
To find the sale price of the skateboard, we first need to calculate the amount of the discount. The original price of the skateboard is $80, and it’s on sale for 60% off. Here’s how we calculate it step by step: Calculate the discount: First, convert the percentage into decimal form: 60% = 0.60. Then, … Read more
When we divide 13 by 12, we are essentially asking how many times 12 can fit into 13. In mathematical terms, we express this as: 13 ÷ 12 The result of this division is approximately 1.0833. This means that 12 can fit into 13 just a little over one time. If you express this in … Read more
To convert the improper fraction 13/12 into a mixed number, follow these simple steps: Identify the Whole Number: Divide the numerator (13) by the denominator (12). The result is 1 since 12 goes into 13 one time. Calculate the Remainder: To find the remainder, subtract the product of the whole number and the denominator from … Read more