devyy Let’s analyze the given equation where we are told that 3x = y. In this scenario, we want to find the ratio of xy and we have the restriction that y cannot equal 0. Knowing that y = 3x, we can express xy in terms of x: xy = x * y Substituting the value … Read more
To put the fractions 1/4 2/3 4/7 1/2 in order from smallest to largest, we can first convert them to a common denominator. The least common denominator (LCD) for 4, 3, 7, and 2 is 84. Next, we convert each fraction: 1/4 = 21/84 2/3 = 56/84 4/7 = 48/84 1/2 = 42/84 Now we … Read more
Finding the LCM and HCF of 510 and 92 Step 1: Prime Factorization To find the Least Common Multiple (LCM) and Highest Common Factor (HCF), we can start by finding the prime factorization of both numbers: Prime Factorization of 510: 510 can be divided by 2: 510 = 2 × 255 255 can be divided … Read more
To determine how far a car travels in 1 second at a speed of 60 miles per hour, we can follow a simple calculation. The first step is to convert the speed from miles per hour to miles per second. 1. **Convert speed to miles per second:** Since there are 60 minutes in an hour … Read more
To determine which equation best represents the graph, we need to examine several factors including the shape, the slope, and the intercepts visible in the graph. 1. **Examine the Shape:** The first step is to analyze if the graph shows a linear, quadratic, exponential, or another type of relationship. For instance, if the graph is … Read more
To determine the probability of getting 3 tails when tossing a coin three times, we can use the fundamentals of probability. 1. **Total Outcomes**: When we toss a coin, there are two possible outcomes for each toss: heads (H) or tails (T). When tossing the coin three times, the total number of outcomes can be … Read more
The given sequence is: 8, 6, 9, 5, 10, 4, 11. To find the next number in this sequence, we need to analyze the pattern. Let’s break it down: Start with 8 Subtract 2 to get 6 Add 3 to get 9 Subtract 4 to get 5 Add 5 to get 10 Subtract 6 to … Read more
One quintal is equal to 100 kilograms. The term ‘quintal’ is derived from the Latin word ‘centenarium,’ which means ‘hundred.’ It serves as a unit of weight measurement, commonly used in agricultural settings and some international trade contexts. To put it into perspective, a quintal can be a convenient standard for weighing bulk items like … Read more
Finding the Exact Value of cos(36°) To find the exact value of cos(36°), we can use the half-angle formula or sum and difference formulas derived from known values of cosine for specific angles. One effective approach involves using the relationship with the angle 72° because 36° is half of 72°. 1. Use the Half-Angle Formula … Read more
To find the radius of a circle from its equation, we first need to rewrite the given equation in the standard form of a circle’s equation. The standard form is: (x – h)² + (y – k)² = r² where (h, k) is the center of the circle and r is the radius. Here, you … Read more