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
In mathematics, curves can be described using various types of equations, and understanding these can greatly enhance your comprehension of how curves behave. Here’s an overview of some common equations that describe different types of curves: 1. Linear Equations A linear equation describes a straight line and is represented in the form: y = mx … Read more
To calculate 2 to the power of 64, we can express it mathematically as 2^64. This means we multiply 2 by itself a total of 64 times. The resulting value can be quite large. Performing the calculation, we find that: 2^10 equals 1,024 2^20 equals 1,048,576 2^30 equals 1,073,741,824 2^40 equals 1,099,511,627,776 2^50 equals 1,125,899,906,842,624 … Read more
To write the numbers 12 and 15 as a fraction, you can follow these simple steps: Understanding the Concept: A fraction represents a part of a whole. In this case, you have two whole numbers: 12 and 15. Setting Up the Fraction: A fraction is generally written in the form numerator/denominator. In this case, you … Read more
When we raise a number to a power, we multiply that number by itself a certain number of times, as indicated by the exponent. In the case of 0 raised to the power of 2, written mathematically as 02, we are multiplying 0 by itself: 02 = 0 × 0 = 0 Therefore, 0 to … Read more
The sum of the measures of the interior angles of a polygon can be calculated using the formula: Sum of interior angles = (n – 2) x 180° Here, ‘n’ represents the number of sides in the polygon. For a regular heptagon, which has 7 sides, the calculation would be as follows: Identify the number … Read more