Answer:
100 tickets were sold.
Step-by-step explanation:
If she bought 20 tickets and had a 20 percent chance of winning that means there were 100 sold tickets because 20 percent of 100 would be the 20 tickets she purchased.
Answer:
x = 3 2/3
Step-by-step explanation:
Given
3x - 4 = 7
Add 4 to both sides of the equation
3x - 4 + 4 = 7 + 4
3x = 11
Divide both sides by 3
3x/3 = 11/3
x = 3 2/3
Answer:
the angle between their paths is <em>100.8°</em>
Step-by-step explanation:
From the given information, you can construct a triangle, just like the one in the figure.
We will use the <em>Cosine Rule</em> which is:
c² = b² + a² - 2 b c cos(θ)
where
- c = 16 miles
- b = 8 miles
- a = 12 miles
Therefore,
2 b c cos(θ) = b² + a² - c²
cos(θ) = (b² + a² - c²) / 2 b c
θ = cos⁻¹( (b² + a² - c²) / (2 b c) )
θ = cos⁻¹( (8² + 12² - 16²) / 2(8)(16) )
<em>θ = 100.8°</em>
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Therefore, the angle between their paths is <em>100.8°</em>
Answer:
2a^2 - a - 2
Step-by-step explanation:
Hello!
Since D is the midpoint and the two equations are and both sides of point D the equations equal each other
9x - 7 = 3x + 17
Now you solve it algebraically
Add 7 to both sides
9x = 3x + 24
Subtract 3x from both sides
6x = 24
Divide both sides by 6
x = 4
Now we put this into both equations and add them
9(4) - 7 = 29
3(4) + 17 = 29
29 + 29 = 58
The answer is 58 units
Hope this helps!