Answer:
x = 28
m∠ACD = 68°
Step-by-step explanation:
∠BAE ≅∠DAC because they are vertical angles
∠ACD = 180 - 124 = 56°
to find 'x': 56 + 2x + (180 - 4x) = 180
236 - 2x = 180
-2x = -56
x = 28
m∠ACD = 180 - 4(28) = 180 - 112 = 68°
Answer:
x ≤ 1
Step-by-step explanation:
8 + 4x 
12
4x 12 - 8
4x ≥ 4
Dividing both sides by 4 gives;
x ≤ 1
Let's thing
949 ----- 100% of the price
499 ------ x% of the price
Multiply in cross
949.x = 100.499
949x = 49900
x = 49900/949
x = 52,58%
So, rounding it 52,58% ≈ 53%
Alternative B
Set the equation to look like
20/100 = x/25
Then multiply to get
500 = 100x
500/100 = x
5 = x
Therefore James spent 5 dollars initially on ingredients.
when r = c is the break even point.
since r = 14x and c = 12x + 36000, then the break even point is when 14x = 12x + 36000
subtract 12x from both sides of this equation to get 14x - 12x = 36000.
combine like terms to get 2x = 36000.
divide both sides of this equation by 2 to get x = 18000.
that'a our answer.
the revenue will be equal to the cost when 18000 units are sold.
revenue = 14 * 18000 = 252000.
cost = 12 * 18000 + 36000 = 252000.
