What is the next number in the sequence: 2, 3, 5, 7, 11, 13, 17?
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. The numbers listed are all prime: 2 3 5 7 11 13 17 After 17, the next prime number is 19. Prime numbers are important in […]
What is the basic unit of volume in the metric system?
The correct answer is c) liter. In the metric system, the liter is the standard unit of volume. It is defined as the volume of a cube that measures 10 centimeters on each side, which corresponds to 1,000 cubic centimeters. The liter is commonly used for measuring liquids, and it is widely recognized and accepted […]
How do you solve the inequality 24 < 2x + 5x + 5?
To solve the inequality 24 < 2x + 5x + 5, we first combine like terms on the right side. The terms 2x and 5x can be combined: 2x + 5x = 7x Now the inequality looks like this: 24 < 7x + 5 Next, we want to isolate the term with x. To do […]
What is the purpose of the prefixes in the metric system?
The prefixes in the metric system serve to convey the scale of measurement by representing different powers of ten. Each prefix corresponds to a specific factor, allowing for the easy conversion and comprehension of large or small quantities. For example, the prefix ‘kilo-‘ means a factor of one thousand (103), so one kilometer is equal […]
Suzanne can read 1 page in 3 minutes. How many pages can she read in 5 hours?
Suzanne can read one page in three minutes. To find out how many pages she can read in five hours, we first need to convert the hours into minutes. There are 60 minutes in an hour, so in five hours, there are: 5 hours × 60 minutes/hour = 300 minutes Now, we can calculate how […]
How to Determine if a Graph is Even or Odd
To determine if a graph is even or odd, you need to analyze the function that defines the graph. A graph is considered even if it satisfies the condition: f(x) = f(-x) This means that for every point (x, f(x)) on the graph, there is a corresponding point (-x, f(-x)) at the same height, which […]
What is the solution to this system of linear equations x + 3y = 2 and x + 3y = 16?
To solve the system of linear equations x + 3y = 2 and x + 3y = 16, we can start by noting that both equations are actually expressing the same linear relationship between x and y. If we look closely, we can see that both equations have the same left-hand side (LHS): x + […]
What is the measure of angle C to the nearest degree?
To find the measure of angle C to the nearest degree, we first need to know the relevant information about the triangle or geometric figure in question. If we assume we have a triangle with angles A, B, and C, we can use the fact that the sum of the angles in any triangle is […]
What is 40% of 25?
To find 40% of 25, you can follow a simple formula where you multiply the percentage (in decimal form) by the number you are interested in. In this case, convert 40% into a decimal by dividing it by 100, which gives you 0.40. Next, multiply 0.40 by 25: 0.40 x 25 = 10 So, 40% […]
One number is 2 more than 3 times another; their sum is 22. Find the numbers.
Let’s denote the two numbers as x and y. According to the problem, we have the following relationships: x = 3y + 2 (one number is 2 more than 3 times another) x + y = 22 (their sum is 22) Now, we can substitute the expression for x from the first equation into the […]