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To solve the expression 3 – 3 * 6 + 2, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). 1. **Calculate the multiplication first:**     3 * 6 = 18 2. **Now substitute back … Read more

The next number in the sequence is 19. This sequence consists of prime numbers, which are numbers greater than 1 that have no divisors other than 1 and themselves. To clarify, the prime numbers included in the sequence so far are: 2 – the only even prime number 3 – the first odd prime number … Read more

The circumference of a circle can be calculated using the formula: C = 2 × π × r, where C represents the circumference, π (pi) is approximately 3.14, and r is the radius of the circle. In this case, the radius r is given as 7 inches. Plugging this value into the formula: C = … Read more

The equation of a line can often be expressed in standard form as Ax + By = C, where A, B, and C are integers, and A should be non-negative. Let’s analyze the equation you’ve given: 2x + 3y = 6. To clarify further, the standard form of the line can be derived and rearranged … Read more

Finding the Minimum and Maximum of a Quadratic Function A quadratic function is typically expressed in the standard form: f(x) = ax² + bx + c, where a, b, and c are constants. The shape of the graph of a quadratic function is a parabola. To find the minimum or maximum value of this function, … Read more

To write the number 11,110 in words, you would say “eleven thousand one hundred ten.” This breakdown helps clarify the number’s components: Eleven Thousand: The first part of the number, “eleven thousand,” indicates that there are 11,000. One Hundred: The second part, “one hundred,” tells you that there are an additional 100 added to the … Read more

To find the smallest of three consecutive numbers that sum up to 72, we first need to establish a mathematical representation of the problem. Let the three consecutive numbers be represented as: x: the first number x + 1: the second number x + 2: the third number Now, we can set up the equation … Read more

Vertical angles are formed when two lines intersect, creating pairs of opposite angles that are equal to each other. To determine whether angles 1 and 2 are vertical angles, we need to visualize or identify their positions relative to the intersecting lines. Imagine two lines crossing each other, forming four angles at the intersection. Typically, … Read more

To find 1/4 of an hour, we first need to understand how long one hour is. An hour is made up of 60 minutes. To find a quarter (1/4) of 60 minutes, we can use a simple calculation: Step 1: Divide 60 by 4. This gives us 15. Step 2: Therefore, 1/4 of an hour … Read more

To find the equation of a line given two points, let’s denote the points as (x1, y1) and (x2, y2). The steps to derive the line’s equation—commonly expressed in slope-intercept form (y = mx + b)—involve calculating the slope and then using one of the points to find the y-intercept (b). Here’s how you can … Read more