Find an equation of variation for the given situation.y varies directly as z, and y = 12 when z = 96.
A. y = 
z
B. y = -2z
C. y = 8z
D. y = - 
z
Answer: A
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Solve the problem.Two boats are pulling a disabled vessel toward the landing dock with forces of 840 lb and 820 lb. The angle between the forces is 29.6°. Find the direction and magnitude of the equilibrant.
A. 1605 lb at an angle of W 75.4° Nwith the 820-lb force B. 1605 lb at an angle of W 14.6° N with the 840-lb force C. 1605 lb at an angle of N 14.6° W with the 840-lb force D. 160 lb at an angle of N 75.4° W with the 840-lb force
Provide an appropriate response.A store sells two types of calculators. In order to cover overhead, it must sell at least 40 calculators total per week, and in order to satisfy distribution requirements, it must sell at least twice as many of type II as type I. Write a system of inequalities to describe the situation. Let x be the number of type I that it sells in a week and y be the number of type II that it sells in a week. Find the region described by the system of linear inequalities.
What will be an ideal response?
Solve the problem.Use the formula N = Iekt, where N is the number of items in terms of the initial population I, at time t, and k is the growth constant equal to the percent of growth per unit of time. There are currently 61 million cars in a certain country, decreasing by 4% annually. How many years will it take for this country to have 50 million cars? Round to the nearest year.
A. 60 years B. 5 years C. 11 years D. 3 years
Multiply.
(
+ x
)
A. 5 + 5x
B. 5 + x
C. 5 + 5x
D. 10 + x