1.
How many degrees are there in a circle?
Answer:
360
Explanation:
A circle comprises 360 degrees, forming the basis for angular measurements in geometry. This standard division facilitates precise measurements and calculations in various fields, from mathematics and physics to engineering. Understanding the 360-degree concept is fundamental for interpreting angles and rotational aspects across diverse disciplines.
2.
What do we use to display information in circle graphs?
Answer:
Percent
Explanation:
We use percentages to display information in circle graphs. Percentages represent the proportion of each category in the whole, providing a visual representation of data distribution within a circle graph. This method aids in conveying relative magnitudes and relationships among different components.
3.
Solve for x: 3x - 5 = 2(x + 4)
Answer:
13
Explanation:
Distribute the 2 on the right side of the equation: 3x - 5 = 2x + 8
Move the 2x term from the right side to the left side of the equation by subtracting 2x from both sides: 3x - 2x - 5 = 8
Simplify the left side of the equation: x - 5 = 8
Add 5 to both sides of the equation to isolate x: x - 5 + 5 = 8 + 5
Simplify the equation further: x = 13
Move the 2x term from the right side to the left side of the equation by subtracting 2x from both sides: 3x - 2x - 5 = 8
Simplify the left side of the equation: x - 5 = 8
Add 5 to both sides of the equation to isolate x: x - 5 + 5 = 8 + 5
Simplify the equation further: x = 13
4.
What is the formula for calculating the area of a square?
Answer:
Side*side
Explanation:
The formula for calculating the area of a square is side multiplied by side. This is because a square has all four sides equal in length, so multiplying the length of one side by itself will give us the area of the square.
5.
Double bar graphs are used to __________________.
Answer:
Compare the information
Explanation:
Double bar graphs are used to compare the information. This type of graph allows for a visual comparison between two or more sets of data. By displaying the data in separate bars side by side, it becomes easier to identify similarities and differences between the categories being compared. This helps in understanding the relative values and trends of the data, making it an effective tool for making comparisons.
6.
25% is _______ as a fraction when simplified.
Answer:
1/4
Explanation:
The fraction 1/4 is equal to 25% when reduced. To convert a percentage to a fraction, you can simply write the percentage as a fraction with a denominator of 100, and then simplify or reduce it if possible.
In this case, you have 25%, which can be written as 25/100. Both 25 and 100 have a common factor of 25, so you can simplify the fraction by dividing both the numerator and denominator by 25:
(25 ÷ 25) / (100 ÷ 25) = 1/4
So, 25% as a fraction, when reduced, is 1/4.
In this case, you have 25%, which can be written as 25/100. Both 25 and 100 have a common factor of 25, so you can simplify the fraction by dividing both the numerator and denominator by 25:
(25 ÷ 25) / (100 ÷ 25) = 1/4
So, 25% as a fraction, when reduced, is 1/4.
7.
What is the product of 7 multiplied by 8?
Answer:
56
Explanation:
To find the product of 7 multiplied by 8, you simply multiply the two numbers together: 7 x 8 = 56. So, the correct answer is 56.
8.
What is the value of the expression 2 + 6 × 3?
Answer:
20
Explanation:
The correct 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)), must be followed to solve this expression correctly. First, handle the multiplication: 6 × 3 equals 18. Then, perform the addition: 2 + 18 equals 20. Therefore, the value of the expression is 20.
9.
What is the area of a rectangle with a length of 8 meters and a width of 3 meters?
Answer:
24 square meters
Explanation:
The area of a rectangle is determined by the formula: area equals length multiplied by width. For a rectangle with a length of 8 meters and a width of 3 meters, you calculate the area by multiplying these two dimensions. Specifically, 8 meters multiplied by 3 meters results in 24 square meters.
10.
What is the next number in the sequence 2, 4, 8, 16?
Answer:
32
Explanation:
This sequence is a geometric progression where each term after the first is obtained by multiplying the previous one by 2. Starting with 2, the sequence doubles each time: 2 (2×2) equals 4, 4 (4×2) equals 8, 8 (8×2) equals 16. Continuing this pattern, 16 (16×2) equals 32. Thus, the next number in the sequence is 32.
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