Step-by-step explanation:
5x + 2 < 4x - 3
5x - 4x < -3 - 2
x < -5
425 tickets, if only 3 student tickets were sold... 428 total minus 3 student tickets = 425 adult tickets + 3 sold student tickets.
1. Collect like terms
(n - 0.3n) + (4.5 - 3)
2. Simplify
0.7n + 1.5
Final Answer:
0.7n + 1.5
Answer:
If this is for a triangle then the answer is 45°
Step-by-step explanation:
Triangles are always 180° so if you have a right angle know that, that means the angle is 90°. So angle CAB is 90° and angle DAB is 45°. You take 180° and subtract 90° which leaves you with 90°. Then you take that 90° and subtract 45° and that leaves you with 45°.
Answer:
5.54 miles
Step-by-step explanation:
1. Assume she runs up to a point that is x miles to the east of the coral reef:
distance running =
distance swimming =
2. Times:
time= distance / speed
time running =
time swimming =
3. Total time
time running + time swimming:
4. Minimize time
The minimum time is when the derivative of the function of time is zero.
Find the derivative of T(x), using rule of the sum, the derivative of the sum is the sum of the derivatives, and the chain rule:
Solve for x:
5. Distance the visitor should run to minimize the time
Hence, the visitor should run 5.54 miles.
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