Explanation:
Follow the order of operations: first, perform the operation inside the parentheses, then multiplication, and finally subtraction.
Explanation:
To solve the equation 3 (x − 2) = 15, follow these steps:
Distribute the 3 to both terms inside the parentheses:
3 × X − 3 × 2 = 15
3x − 6 = 15
Add 6 to both sides of the equation:
3x − 6 + 6 = 15 + 6
3x = 21
Divide both sides by 3 to isolate x:
3𝑥/3 = 21/3
x = 7
Explanation:
To solve the expression 15 − 3 × (4 + 2), follow the order of operations (PEMDAS/BODMAS):
Perform the operation inside the parentheses: 4 + 2 = 6
Multiply: 3 × 6 = 18
Subtract: 15 − 18 = −3
Explanation:
To find the distance traveled, we multiply the speed (rate) by the time traveled.
Given:
Speed = 60 miles per hour
Time = 2.5 hours
Distance = Speed × Time
Distance = 60 miles/hour × 2.5 hours
Distance = 150 miles
Explanation:
To find the volume of a cube, you raise the length of one side to the power of 3.
Given:
Side length = 4 units
Volume = Side length × Side length × Side length
= 4 units × 4 units × 4 units
= 64 cubic units
Explanation:
The mode of a set of numbers is the number that appears most frequently.
Given the set of numbers: 5, 8, 5, 2, 7, 5, 4, 9
The number 5 appears three times, which is more than any other number in the set.
Explanation:
To find the area of a rectangle, multiply its length by its width.
Given:
Length = 10 units
Width = 4 units
Area = Length × Width
= 10 units × 4 units
= 40 square units
Explanation:
If x = 7, we can substitute this value into the expression 2x − 3 and calculate the result:
2x − 3 = 2 (7) − 3
= 14−3
= 11
Explanation:
To find the next number in the sequence, we observe that each number is increasing by 3:
2, 5, 8, 11,...
So, to find the next number, we add 3 to the last number in the sequence:
11 + 3 = 14
Explanation:
The perimeter of a rectangle is calculated by adding all four sides. For this rectangle:
Length = 8 meters
Width = 5 meters
Perimeter = 2*(Length + Width)
= 2*(8 + 5)
= 2*(13)
= 26 meters
Explanation:
To solve the equation 2x + 5 = 13:
Subtract 5 from both sides:
2x = 13 − 5
2x = 8
Now, divide both sides by 2 to solve for x:
x = 8/2
x = 4
