What is the value of 8 + 3 × 5?
According to the order of operations (PEMDAS), you perform multiplication before addition. So, first multiply 3 × 5 = 15, and then add 8 to get 8 + 15 = 23.
If a rectangle has a length of 12 meters and a width of 7 meters, what is its area?
The area of a rectangle is calculated by multiplying the length by the width. So, 12 meters × 7 meters = 84 square meters.
Solve for x: 4x - 7 = 9
Here is a step-by-step breakdown of how to solve the equation:
1. Add 7 to both sides of the equation to isolate the term with x:
4x − 7 + 7 = 9 + 7
4x=16
2. Divide both sides by 4 to solve for x:
⁴ˣ⁄₄ = ¹⁶⁄₄
x=4
What is the value of 5² - 6 × 3 + 2?
To solve this, we follow the order of operations (PEMDAS/BODMAS):
1. Exponents: Calculate 5² = 25.
2. Multiplication: Calculate 6 x 3 = 18.
3. Subtraction and Addition: Perform the remaining operations from left to right: 25 − 18 + 2 = 7 + 2 = 9.
A car travels 180 miles in 3 hours. What is the average speed of the car?
Explanation: Average speed is calculated by dividing the total distance by the total time. So, divide 180 miles by 3 hours:
180 ÷ 3 = 60 mph.