Use ratios to solve
15 m/8 km = x m/50 km Cross multiply
15(50) = 8x
750 = 8x divide by 8 on both sides
93.75 = x
93.75 miles = 50km
Sin(35)x14 =8.03007...
So answer is 8
7% into decimal is 0.07
0.07 x $150,000
= $10,500
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
Answer:
-1 9/10
Step-by-step explanation:
-3/10q - 8/5q + 9 = 10
-3/10q - 16/10q + 9 = 10
-19/10q + 9 = 10
-19/10q = 1
-19 = 10q
-19/10 = 10q/10
-1 9/10 = q
