Answer:
5x - 4
Step-by-step explanation:
2x + 3x = 5x
4 = 4
Answer:
1/8 of the budget was left for other expenses.
Step-by-step explanation:
1/4 of the budget - buildings and maintenance.
Administrative personnel : 1/4 + 1/8 = 2/8 + 1/8 = 3/8 of the budget.
Therefore:
3/8 of the budget - administrative personnel.
Public safety : 3/8 - 1/8 = 2/8 = 1/4 of the budget.
For other expenses :
1 - ( 1/4 + 3/8 + 1/4 ) = 1 - ( 2/8 + 3/8 + 2/8 ) 1 - 7/8 = 1/8
Finally, 1/8 of the total budget was for the other expenses.
36 because in total there are 46, 20 playing football, 16 playing hockey and 10 who plays both so if you add 20+16+10 you get 46, but then you take away the 10 who play both to get an answer or 36 students
Answer:
the answer is 0.75
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Answer: the widget would be sold for $84.3
Step-by-step explanation:
The amount of profit, y made by the company, is related to the selling price of each widget, x, by the given equation which is expressed as
y = - x² + 77x - 615
At the point of breaking even, profit = 0. This means that
- x² + 77x - 615 = 0
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = - 1
b = 77
c = - 615
Therefore,
x = [- 77 ± √(77² - 4 × - 1 × - 615)]/2 × + 1
x = [- 77 ± √(8389)]/- 2
x = (- 77 + 91.59)/2 or x = (- 77 - 91.59)/- 2
x = - 7.295 or x = 84.3
Since the price cannot be negative, then x = $84.3
