A simple way to turn this into an equation is by replacing the words with letters:
1464B = 3/4 S
Then you have to remove the 3/4 from the right side of the equation. You can do this by dividing both sides by 3/4:
1464 / 3/4 = S
Then you have to do the sum:
1464
/ 3
= 0488
488
X 4
= 1952
There are 1952 students.
8y - 6 = 5y + 12
- 5y - 5y
3y - 6 = 12
+ 6 + 6
3y = 18
3 3
y = 6
The decimal 68.145 written as a fraction is 68145/1000
∠SCD =150 and ∠BCD=174 (Given)
∠BCS + ∠SCD = ∠BCD (Segment Addition Postulate)
∠BCS + 150 = 174 (Substitution)
∠BCS = 24 (Subtraction Property of Equality)
Answer: 24
Answer:
4x³ - 30x² + 54x
Step-by-step explanation:
Length of the rectangular cardboard = 9 inches
Width of the rectangular cardboard = 6 inches
if the square of sides x inches is cut from each corner of the rectangular cardboard and folded to make a tray, then we have
Length of the tray = length of cardboard - 2(side of square )
= 9 - 2x
Width of the tray = width of cardboard - 2( side of square)
= 6 - 2x
height of tray = sides of square
= x
volume of tray = Length × width × height
= (9 - 2x) (6 - 2x) (x)
Open the parenthesis
= (54 - 18x - 12x + 4x²)(x)
= 54x - 18x² - 12x² + 4x³
= 54x - 30x² +4x³
Re-arrange
4x³ - 30x² + 54x
Volume, V of the tray in terms of x = 4x³ - 30x² + 54x
