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Quiz 1: Review of Algebra
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Question 381
Short Answer
Solve:
- 9y - 12 = 0
Question 382
Essay
The miles a person can see to the horizon from a point above the surface of Earth is 0.85 of the square root of the person's distance in feet above the surface.Karen is 39 feet higher and sees 2.55 miles farther than Sharon.How high are Karen and Sharon above the surface?
Question 383
Essay
Solve:
-
= 1
Question 384
Essay
The time it takes an airplane to travel a given distance with a headwind (against the wind)can be calculated by dividing the distance by the difference of the speed of the airplane and the speed of the wind.Write an equation which calculates the time t it takes an airplane traveling at a speed r against a wind w to cover a distance d.Solve your equation for w.
Question 385
Essay
The time it takes a boat to travel a given distance downstream (with the current)can be calculated by dividing the distance by the sum of the speed of the boat and the speed of the current.Write an equation which calculates the time t it takes a boat moving at a speed r against a current c to travel a distance d.Solve your equation for r.
Question 386
Short Answer
What is the sales tax paid on an item whose total receipt was $100.75 and whose sales tax rate was 5.5%?
Question 387
Essay
The miles a person can see to the horizon from a point above the surface of Earth is 0.85 of the square root of the person's distance in feet above the surface.Sean is 65 feet higher and sees 4.25 miles farther than Craig.How high are Sean and Craig above the surface?
Question 388
Essay
Solve:
- 4 = 0
Question 389
Essay
Suppose the ratio of the number of hours a coffee shop is opened to the number of daily customers it gets is constant.When it is opened 3 hours,the number of customers is 180 less than the maximum number of customers.When it is opened 11 hours,the number of customers is 20 less than the maximum number of customers.Write an equation describing this situation and find the maximum number of daily customers.
Question 390
Short Answer
Solve:
- 7x - 8 = 0
Question 391
Essay
A boat with a speed of 12 mph travels 8 miles downstream in a current of c miles an hour in the same time a boat going the same speed travels 4 miles upstream.Write an equation describing this situation and find the speed of the current.