Answer:
x= 3 inch should be turned up on each side
Step-by-step explanation:
Let the height of trough be x.
Width of trough be 12 - 2x.
and length of trough = 120 inch
Volume of trough, V = L×W×H = 120 × (12-2x) × x = 120x(12 - 2x)
For maximum volume, we find V' = 0
i.e 1440 -480x = 0
or x =
or x= 3
Hence x= 3 inch should be turned up on each side
5/8 is way greater then 1/5
Hello!
To solve algebraic equations, we need to use SADMEP. SADMEP acts like PEMDAS and is subtract, addition, division, multiplication, exponents and parentheses. If there are no variables, it is a regular equation, and can be simplified using PEMDAS.
(a) 4 + 2(-1) = 10 + 2 (multiply)
4 + -2 = 10 + 2 (add)
2 = 12
This equation has no solutions because -2 is not equal to 12.
(b) 30 = 10 + -1(6 + 10) (simplify)
30 = 10 + -1(16) (multiply)
30 = 10 + -16 (add)
30 = -6
This equation has no solutions because 30 is not equal to -6.
(c) 8x = 4x + 4x + 10(x - x) (simplify alike terms)
8x = 8x + 10(0) (multiply)
8x = 8x
This equation has an infinite number of solutions because another number substitute into x will result in the same solution on both sides of the equation.
<u>Final answers</u>:
- No solution (-2 ≠ 12)
- No solution (30 ≠ -6)
- Infinite number of solutions (8x = 8x -- resulting in same quotient)
Answer:
The number is 18
Step-by-step explanation:
You can write an equation to represent this. Let x represent the unknown number.
3x - 18 = 2x
Move 2x to the left side. Remember, "change the side, change the sign." Add 0 as a placeholder to the right of the equals sign.
3x - 2x - 18 = 0
Simplify like terms.
x - 18 = 0
Move -18 to the right of the equals sign.
x = 18
Now that we know x = 18, we can substitute it into the problem.
"Eighteen less than three times 18 is two times 18."
18 x 3 = 54
54 - 18 = 36
36 is, in fact, two times 18. We can check this by dividing 36 by 2.
36 ÷ 2 = 18