What is 12 7 as a mixed number?
To convert the improper fraction 12/7 into a mixed number, we first divide the numerator (12) by the denominator (7). When we divide 12 by 7, we get: 12 ÷ 7 = 1 with a remainder of 5. This tells us that there is 1 whole number and a remainder of 5. We can express […]
What is the simplified form of 2 over x squared plus x minus 1 over x?
To simplify the expression 2 / (x² + x) – 1 / x, we first need to find a common denominator. The terms in the expression are: 2 / (x² + x) -1 / x The first term has a denominator of x² + x, which can be factored as x(x + 1). The second […]
How to Tell if a Year is a Leap Year
Determining whether a year is a leap year is relatively straightforward, and it relies on a few key rules from the Gregorian calendar. 1. **Divisibility by 4**: The first rule is that the year must be divisible by 4. For instance, 2020 is divisible by 4, while 2021 is not. 2. **Century years**: However, if […]
What is 13 9 as a mixed number?
To convert the improper fraction 13/9 into a mixed number, we first need to divide the numerator (13) by the denominator (9). When we divide 13 by 9, we see that 9 goes into 13 once, which gives us a whole number part of 1. To find the remainder, we subtract 9 from 13, which […]
Which description of the graph of the linear equality y < 7x + 4 is correct?
The graph of the linear inequality y < 7x + 4 represents all the points in the coordinate plane that lie below the line defined by the equation y = 7x + 4. This line has a slope of 7 and a y-intercept of 4, meaning it crosses the y-axis at the point (0, 4). […]
Which is a solution to x^2 + 2x + 10 = 13?
To solve the equation x² + 2x + 10 = 13, we start by rearranging it to set it to zero: x² + 2x + 10 – 13 = 0 This simplifies to: x² + 2x – 3 = 0 Now, we can factor this quadratic equation. We need two numbers that multiply to -3 […]
How do you find the next three terms in 2, 5, 10, 17, 26?
To find the next three terms in the sequence 2, 5, 10, 17, 26, we first need to identify the pattern in the series. Let’s look at the differences between consecutive terms: 5 – 2 = 3 10 – 5 = 5 17 – 10 = 7 26 – 17 = 9 The differences are: […]
What Does an Acute Angle Look Like?
An acute angle is defined as an angle that is less than 90 degrees. It appears sharp and pointy, creating a triangle that looks vibrant and dynamic. Visually, if you imagine the hands of a clock, the angle between the 12 and 1, or 12 and 2, represents acute angles. In geometrical terms, acute angles […]
What is the next number in the series 3, 4, 6, 7, 9, 10?
To find the next number in the series 3, 4, 6, 7, 9, 10, we can start by looking at the differences between consecutive numbers: 4 – 3 = 1 6 – 4 = 2 7 – 6 = 1 9 – 7 = 2 10 – 9 = 1 From this, we observe a […]
Which Quadrilaterals Have Two Pairs of Opposite Sides That Are Parallel and Have No Right Angles?
The quadrilaterals that have two pairs of opposite sides that are parallel and no right angles are known as parallelograms, specifically rectangles and rhombuses. However, rectangles contain right angles, so the focus is primarily on rhombuses and general parallelograms that do not conform to right angles. A rhombus is a type of parallelogram where all […]