<span>Step 1. Let x be the number and 1/x be its reciprocal.
Step 2. Then, since the sum of a number and its reciprocal is 25/12.
Step 3. Multiply 12x to both sides of the equation to get rid of the denominators.
Step 4. Subtract 25x to put the equation in quadratic form
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1 2 4 8 and 16 are the factors
Answer:
Population after 4 years = 49 (nearest unit)
Population after 5 years = 47 (nearest unit)
Step-by-step explanation:
Yearly decrease = 4.6%
Decrease factor (what's left) = (100-4.6)% = 0.954
Current population, P = 60
population after n years = P(0.954)^n (to the nearest unit)
Population after 4 years = 60(0.954)^4 = 49.7 = 49 (nearest unit)
Population after 5 years = 60(0.954)^5 = 47.4 = 47 (nearest unit)
389 children and 224 adults were at the pool that day.
Step-by-step explanation:
Cost of one child ticket = $1.75
Cost of one adult ticket = $2.25
Total people = 613
Total receipts worth = $1184.75
Let,
Number of children = x
Number of adults = y
According to given statement;
x+y=613 Eqn 1
1.75x+2.25y=1184.75 Eqn 2
Multiplying Eqn 1 by 1.75
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 0.50
Putting y=224 in Eqn 1
389 children and 224 adults were at the pool that day.
Keywords: linear equation, subtraction
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We know, Time = distance / speed
t = 0.0568182 / 50 [ 300 Feet = 0.0568182 miles ]
t = 0.001136 * 3600 s
t = 4.09 sec
In short, Your Answer would be 4.09 Seconds
Hope this helps!