8x²-18xy-5y²
8x²+2xy-20xy-5y²
2x(4x+y) -5y (4x+y)
= (2x-5y) (4x+y)
Answer:
340 people in total
Step-by-step explanation:
If 45% of the people were children, then 100% - 45% = 55% of the people were adults
Equation : 55% of the people were adults
=> .55 * x = 187, x = the total amount of people
=>187/.55x
=> x = 340
340 people in total
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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Answer:
1. The ratio of milk cartons taken to total milk cartons,
70 - 10 = 60 were taken
73/100 is the ratio of milk cartons taken to total milk cartons
2. The ratio of milk cartons remaining to milk cartons taken
10 / 60 is the ratio of milk cartons remaining to milk cartons take
