Answer:
x = 16/5
Step-by-step explanation:
2x + 14 -34 = 4x - 11x + 4x - 4
2x - 20 = -3x - 4
5x = 16
Answer: 112.5
Step-by-step explanation:
The question really is asking whats 45% of 250
1. Calculate 10% of the total
2. Calculate 5% of the total
3. Solve for 40% of the total
4. Add 5% of the total
1. 10% of 250
250 = 100%
*divide both sides by 10*
25 = 10%
2. 5% of 250
25 = 10%
*divide both sides by 2*
12.5 = 5%
3. 40% of 250
10% + 10% + 10% + 10% = 40%
25 + 25 + 25 + 25 = 40%
50 + 50 = 40%
100 = 40%
4. 45% of 250
100 = 40%
12.5 = 5%
100 + 12.5 = 40% + 5%
<em>112.5 = 45%</em>
The answer is 90 miles per hour.
The labeled angle is what's called an inscribed angle. There's a theorem (fittingly called the inscribed angle theorem) that says the measure of this angle is half the measure of the circular arc that it subtends.
In this case, the angle is subtended by an arc measuring 180°. So
(4x + 6)° = 1/2 • 180°
4x + 6 = 90
4x = 84
x = 21
Answer:
Step-by-step explanation:
The volume of a sphere is
We are told our volume is 500pi/3, so we fill that in and solve for r:
Start by multiplying both sides by 3 over 4 pi:
Simplifying gives us
Take the cubed root of both sides to get that
r = 5
